[{"author":[{"first_name":"Elena","full_name":"Redchenko, Elena","id":"2C21D6E8-F248-11E8-B48F-1D18A9856A87","last_name":"Redchenko"}],"day":"26","title":"Controllable states of superconducting Qubit ensembles","oa_version":"Published Version","date_created":"2023-01-25T09:17:02Z","has_accepted_license":"1","abstract":[{"lang":"eng","text":"Recent substantial advances in the feld of superconducting circuits have shown its\r\npotential as a leading platform for future quantum computing. In contrast to classical\r\ncomputers based on bits that are represented by a single binary value, 0 or 1, quantum\r\nbits (or qubits) can be in a superposition of both. Thus, quantum computers can store\r\nand handle more information at the same time and a quantum advantage has already\r\nbeen demonstrated for two types of computational tasks. Rapid progress in academic\r\nand industry labs accelerates the development of superconducting processors which may\r\nsoon fnd applications in complex computations, chemical simulations, cryptography, and\r\noptimization. Now that these machines are scaled up to tackle such problems the questions\r\nof qubit interconnects and networks becomes very relevant. How to route signals on-chip\r\nbetween diferent processor components? What is the most efcient way to entangle\r\nqubits? And how to then send and process entangled signals between distant cryostats\r\nhosting superconducting processors?\r\nIn this thesis, we are looking for solutions to these problems by studying the collective\r\nbehavior of superconducting qubit ensembles. We frst demonstrate on-demand tunable\r\ndirectional scattering of microwave photons from a pair of qubits in a waveguide. Such a\r\ndevice can route microwave photons on-chip with a high diode efciency. Then we focus\r\non studying ultra-strong coupling regimes between light (microwave photons) and matter\r\n(superconducting qubits), a regime that could be promising for extremely fast multi-qubit\r\nentanglement generation. Finally, we show coherent pulse storage and periodic revivals\r\nin a fve qubit ensemble strongly coupled to a resonator. Such a reconfgurable storage\r\ndevice could be used as part of a quantum repeater that is needed for longer-distance\r\nquantum communication.\r\nThe achieved high degree of control over multi-qubit ensembles highlights not only the\r\nbeautiful physics of circuit quantum electrodynamics, it also represents the frst step\r\ntoward new quantum simulation and communication methods, and certain techniques\r\nmay also fnd applications in future superconducting quantum computing hardware.\r\n"}],"acknowledged_ssus":[{"_id":"NanoFab"},{"_id":"M-Shop"},{"_id":"EM-Fac"}],"publication_status":"published","publication_identifier":{"isbn":["978-3-99078-024-4"],"issn":["2663-337X"]},"file_date_updated":"2023-01-26T23:30:44Z","supervisor":[{"orcid":"0000-0001-8112-028X","first_name":"Johannes M","last_name":"Fink","id":"4B591CBA-F248-11E8-B48F-1D18A9856A87","full_name":"Fink, Johannes M"}],"month":"09","department":[{"_id":"GradSch"},{"_id":"JoFi"}],"file":[{"file_id":"12367","date_created":"2023-01-25T09:41:49Z","file_size":56076868,"date_updated":"2023-01-26T23:30:44Z","creator":"cchlebak","embargo":"2022-12-28","relation":"main_file","checksum":"39eabb1e006b41335f17f3b29af09648","file_name":"Final_Thesis_ES_Redchenko.pdf","access_level":"open_access","content_type":"application/pdf"}],"oa":1,"language":[{"iso":"eng"}],"citation":{"short":"E. Redchenko, Controllable States of Superconducting Qubit Ensembles, Institute of Science and Technology Austria, 2022.","ieee":"E. Redchenko, “Controllable states of superconducting Qubit ensembles,” Institute of Science and Technology Austria, 2022.","ama":"Redchenko E. Controllable states of superconducting Qubit ensembles. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12132\">10.15479/at:ista:12132</a>","mla":"Redchenko, Elena. <i>Controllable States of Superconducting Qubit Ensembles</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12132\">10.15479/at:ista:12132</a>.","apa":"Redchenko, E. (2022). <i>Controllable states of superconducting Qubit ensembles</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12132\">https://doi.org/10.15479/at:ista:12132</a>","chicago":"Redchenko, Elena. “Controllable States of Superconducting Qubit Ensembles.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12132\">https://doi.org/10.15479/at:ista:12132</a>.","ista":"Redchenko E. 2022. Controllable states of superconducting Qubit ensembles. Institute of Science and Technology Austria."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","doi":"10.15479/at:ista:12132","alternative_title":["ISTA Thesis"],"article_processing_charge":"No","publisher":"Institute of Science and Technology Austria","date_updated":"2024-08-07T07:11:56Z","_id":"12366","type":"dissertation","page":"168","ddc":["530"],"year":"2022","degree_awarded":"PhD","project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020"},{"grant_number":"758053","name":"A Fiber Optic Transceiver for Superconducting Qubits","call_identifier":"H2020","_id":"26336814-B435-11E9-9278-68D0E5697425"},{"_id":"237CBA6C-32DE-11EA-91FC-C7463DDC885E","grant_number":"862644","name":"Quantum readout techniques and technologies","call_identifier":"H2020"}],"status":"public","ec_funded":1,"date_published":"2022-09-26T00:00:00Z"},{"has_accepted_license":"1","acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"},{"_id":"NanoFab"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","text":"Metazoan development relies on the formation and remodeling of cell-cell contacts. The \r\nbinding of adhesion receptors and remodeling of the actomyosin cell cortex at cell-cell \r\ninteraction sites have been implicated in cell-cell contact formation. Yet, how these two \r\nprocesses functionally interact to drive cell-cell contact expansion and strengthening \r\nremains unclear. Here, we study how primary germ layer progenitor cells from zebrafish \r\nbind to supported lipid bilayers (SLB) functionalized with E-cadherin ectodomains as an \r\nassay system for monitoring cell-cell contact formation at high spatiotemporal resolution. \r\nWe show that cell-cell contact formation represents a two-tiered process: E-cadherin\u0002mediated downregulation of the small GTPase RhoA at the forming contact leads to both \r\ndepletion of Myosin-2 and decrease of F-actin. This is followed by centrifugal actin \r\nnetwork flows at the contact triggered by a sharp gradient of Myosin-2 at the rim of the \r\ncontact zone, with Myosin-2 displaying higher cortical localization outside than inside of \r\nthe contact. These centrifugal cortical actin flows, in turn, not only further dilute the actin \r\nnetwork at the contact disc, but also lead to an accumulation of both F-actin and E\u0002cadherin at the contact rim. Eventually, this combination of actomyosin downregulation \r\nand flows at the contact contribute to the characteristic molecular organization implicated \r\nin contact formation and maintenance: depletion of cortical actomyosin at the contact disc, \r\ndriving contact expansion by lowering interfacial tension at the contact, and accumulation \r\nof both E-cadherin and F-actin at the contact rim, mechanically linking the contractile \r\ncortices of the adhering cells. Thus, using a biomimetic assay, we exemplify how \r\nadhesion signaling and cell mechanics function together to modulate the spatial \r\norganization of cell-cell contacts."}],"file_date_updated":"2023-01-25T10:52:46Z","publication_status":"published","publication_identifier":{"issn":["2663-337X"],"isbn":[" 978-3-99078-025-1 "]},"day":"29","author":[{"orcid":"0000-0001-5809-9566","first_name":"Feyza N","last_name":"Arslan","id":"49DA7910-F248-11E8-B48F-1D18A9856A87","full_name":"Arslan, Feyza N"}],"title":"Remodeling of E-cadherin-mediated contacts via cortical  flows","oa_version":"Published Version","date_created":"2023-01-25T10:43:24Z","oa":1,"language":[{"iso":"eng"}],"citation":{"ieee":"F. N. Arslan, “Remodeling of E-cadherin-mediated contacts via cortical  flows,” Institute of Science and Technology Austria, 2022.","short":"F.N. Arslan, Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows, Institute of Science and Technology Austria, 2022.","ama":"Arslan FN. Remodeling of E-cadherin-mediated contacts via cortical  flows. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12153\">10.15479/at:ista:12153</a>","apa":"Arslan, F. N. (2022). <i>Remodeling of E-cadherin-mediated contacts via cortical  flows</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12153\">https://doi.org/10.15479/at:ista:12153</a>","mla":"Arslan, Feyza N. <i>Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12153\">10.15479/at:ista:12153</a>.","chicago":"Arslan, Feyza N. “Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12153\">https://doi.org/10.15479/at:ista:12153</a>.","ista":"Arslan FN. 2022. Remodeling of E-cadherin-mediated contacts via cortical  flows. Institute of Science and Technology Austria."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","supervisor":[{"orcid":"0000-0002-0912-4566","first_name":"Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87","full_name":"Heisenberg, Carl-Philipp J","last_name":"Heisenberg"}],"month":"09","department":[{"_id":"GradSch"},{"_id":"CaHe"}],"file":[{"success":1,"file_name":"THESIS_FINAL_FArslan_pdfa.pdf","access_level":"open_access","content_type":"application/pdf","relation":"main_file","checksum":"e54a3e69b83ebf166544164afd25608e","date_created":"2023-01-25T10:52:46Z","file_size":14581024,"creator":"cchlebak","date_updated":"2023-01-25T10:52:46Z","file_id":"12369"}],"page":"113","ddc":["570"],"alternative_title":["ISTA Thesis"],"article_processing_charge":"No","doi":"10.15479/at:ista:12153","publisher":"Institute of Science and Technology Austria","_id":"12368","date_updated":"2023-08-08T13:14:10Z","type":"dissertation","degree_awarded":"PhD","status":"public","project":[{"_id":"260F1432-B435-11E9-9278-68D0E5697425","name":"Interaction and feedback between cell mechanics and fate specification in vertebrate gastrulation","grant_number":"742573","call_identifier":"H2020"}],"ec_funded":1,"date_published":"2022-09-29T00:00:00Z","year":"2022","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"9350"}]}},{"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"G. Colombo, “MorphOMICs, a tool for mapping microglial morphology, reveals brain region- and sex-dependent phenotypes,” Institute of Science and Technology Austria, 2022.","short":"G. Colombo, MorphOMICs, a Tool for Mapping Microglial Morphology, Reveals Brain Region- and Sex-Dependent Phenotypes, Institute of Science and Technology Austria, 2022.","ama":"Colombo G. MorphOMICs, a tool for mapping microglial morphology, reveals brain region- and sex-dependent phenotypes. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12378\">10.15479/at:ista:12378</a>","apa":"Colombo, G. (2022). <i>MorphOMICs, a tool for mapping microglial morphology, reveals brain region- and sex-dependent phenotypes</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12378\">https://doi.org/10.15479/at:ista:12378</a>","mla":"Colombo, Gloria. <i>MorphOMICs, a Tool for Mapping Microglial Morphology, Reveals Brain Region- and Sex-Dependent Phenotypes</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12378\">10.15479/at:ista:12378</a>.","ista":"Colombo G. 2022. MorphOMICs, a tool for mapping microglial morphology, reveals brain region- and sex-dependent phenotypes. Institute of Science and Technology Austria.","chicago":"Colombo, Gloria. “MorphOMICs, a Tool for Mapping Microglial Morphology, Reveals Brain Region- and Sex-Dependent Phenotypes.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12378\">https://doi.org/10.15479/at:ista:12378</a>."},"month":"11","supervisor":[{"orcid":"0000-0001-8635-0877","first_name":"Sandra","last_name":"Siegert","full_name":"Siegert, Sandra","id":"36ACD32E-F248-11E8-B48F-1D18A9856A87"}],"file":[{"checksum":"8cd3ddfe9b53381dcf086023d8d8893a","relation":"source_file","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","access_level":"closed","file_name":"Gloria_Colombo_Thesis.docx","embargo_to":"open_access","file_id":"12379","date_updated":"2023-04-12T22:30:03Z","creator":"cchlebak","date_created":"2023-01-25T14:31:32Z","file_size":23890382},{"file_id":"12380","date_created":"2023-01-25T14:31:36Z","file_size":13802421,"creator":"cchlebak","embargo":"2023-04-11","date_updated":"2023-04-12T22:30:03Z","relation":"main_file","checksum":"8af4319c18b516e8758e9a6cb02b103b","file_name":"Gloria_Colombo_Thesis.pdf","access_level":"open_access","content_type":"application/pdf"}],"department":[{"_id":"GradSch"},{"_id":"SaSi"}],"abstract":[{"text":"Environmental cues influence the highly dynamic morphology of microglia. Strategies to \r\ncharacterize these changes usually involve user-selected morphometric features, which \r\npreclude the identification of a spectrum of context-dependent morphological phenotypes. \r\nHere, we develop MorphOMICs, a topological data analysis approach, which enables semi\u0002automatic mapping of microglial morphology into an atlas of cue-dependent phenotypes,\r\novercomes feature-selection bias and minimizes biological variability. \r\nFirst, with MorphOMICs we derive the morphological spectrum of microglia across seven \r\nbrain regions during postnatal development and in two distinct Alzheimer’s disease \r\ndegeneration mouse models. We uncover region-specific and sexually dimorphic\r\nmorphological trajectories, with females showing an earlier morphological shift than males in \r\nthe degenerating brain. Overall, we demonstrate that both long primary- and short terminal \r\nprocesses provide distinct insights to morphological phenotypes. Moreover, using machine \r\nlearning to map novel condition on the spectrum, we observe that microglia morphologies \r\nreflect a dose-dependent adaptation upon ketamine anesthesia and do not recover to control \r\nmorphologies.\r\nNext, we took advantage of MorphOMICs to build a high-resolution and layer-specific map of \r\nmicroglial morphological spectrum in the retina, covering postnatal development and rd10 \r\ndegeneration. Here, following photoreceptor death, microglia assume an early development\u0002like morphology. Finally, we map microglial morphology following optic nerve crush on the \r\nretinal spectrum and observe a layer- and sex-dependent response. \r\nOverall, MorphOMICs opens a new perspective to analyze microglial morphology across \r\nmultiple conditions, and provides a novel tool to characterize microglial morphology beyond \r\nthe traditionally dichotomized view of microglia.","lang":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"acknowledged_ssus":[{"_id":"PreCl"},{"_id":"Bio"},{"_id":"ScienComp"}],"has_accepted_license":"1","publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","file_date_updated":"2023-04-12T22:30:03Z","oa_version":"Published Version","title":"MorphOMICs, a tool for mapping microglial morphology, reveals brain region- and sex-dependent phenotypes","author":[{"orcid":"0000-0001-9434-8902","first_name":"Gloria","id":"3483CF6C-F248-11E8-B48F-1D18A9856A87","full_name":"Colombo, Gloria","last_name":"Colombo"}],"day":"11","date_created":"2023-01-25T14:27:43Z","project":[{"grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"status":"public","degree_awarded":"PhD","date_published":"2022-11-11T00:00:00Z","ec_funded":1,"related_material":{"record":[{"id":"12244","relation":"part_of_dissertation","status":"public"}]},"year":"2022","ddc":["570"],"page":"142","publisher":"Institute of Science and Technology Austria","doi":"10.15479/at:ista:12378","alternative_title":["ISTA Thesis"],"article_processing_charge":"No","type":"dissertation","date_updated":"2023-08-04T09:40:37Z","_id":"12378"},{"degree_awarded":"PhD","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"}],"status":"public","ec_funded":1,"date_published":"2022-12-15T00:00:00Z","year":"2022","related_material":{"record":[{"id":"9005","status":"public","relation":"part_of_dissertation"}]},"page":"196","ddc":["500"],"doi":"10.15479/at:ista:12390","article_processing_charge":"No","alternative_title":["ISTA Thesis"],"publisher":"Institute of Science and Technology Austria","date_updated":"2023-08-07T13:32:09Z","_id":"12390","type":"dissertation","oa":1,"language":[{"iso":"eng"}],"citation":{"ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>","short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022.","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria.","chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>.","mla":"Brooks, Morris. <i>Translation-Invariant Quantum Systems with Effectively Broken Symmetry</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12390\">10.15479/at:ista:12390</a>.","apa":"Brooks, M. (2022). <i>Translation-invariant quantum systems with effectively broken symmetry</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12390\">https://doi.org/10.15479/at:ista:12390</a>"},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","supervisor":[{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"month":"12","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file":[{"creator":"cchlebak","date_updated":"2023-01-26T10:02:34Z","date_created":"2023-01-26T10:02:34Z","file_size":3095225,"file_id":"12391","content_type":"application/pdf","access_level":"open_access","file_name":"Brooks_Thesis.pdf","success":1,"checksum":"b31460e937f33b557abb40ebef02b567","relation":"main_file"},{"file_id":"12392","date_updated":"2023-01-26T10:02:42Z","creator":"cchlebak","date_created":"2023-01-26T10:02:42Z","file_size":809842,"checksum":"9751869fa5e7981588ad4228f4fd4bd6","relation":"source_file","access_level":"closed","content_type":"application/octet-stream","file_name":"Brooks_Thesis.tex"}],"has_accepted_license":"1","tmp":{"image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)"},"license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","abstract":[{"lang":"eng","text":"The scope of this thesis is to study quantum systems exhibiting a continuous symmetry that\r\nis broken on the level of the corresponding effective theory. In particular we are going to\r\ninvestigate translation-invariant Bose gases in the mean field limit, effectively described by\r\nthe Hartree functional, and the Fröhlich Polaron in the regime of strong coupling, effectively\r\ndescribed by the Pekar functional. The latter is a model describing the interaction between a\r\ncharged particle and the optical modes of a polar crystal. Regarding the former, we assume in\r\naddition that the particles in the gas are unconfined, and typically we will consider particles\r\nthat are subject to an attractive interaction. In both cases the ground state energy of the\r\nHamiltonian is not a proper eigenvalue due to the underlying translation-invariance, while on\r\nthe contrary there exists a whole invariant orbit of minimizers for the corresponding effective\r\nfunctionals. Both, the absence of proper eigenstates and the broken symmetry of the effective\r\ntheory, make the study significantly more involved and it is the content of this thesis to\r\ndevelop a frameworks which allows for a systematic way to circumvent these issues.\r\nIt is a well-established result that the ground state energy of Bose gases in the mean field limit,\r\nas well as the ground state energy of the Fröhlich Polaron in the regime of strong coupling, is\r\nto leading order given by the minimal energy of the corresponding effective theory. As part\r\nof this thesis we identify the sub-leading term in the expansion of the ground state energy,\r\nwhich can be interpreted as the quantum correction to the classical energy, since the effective\r\ntheories under consideration can be seen as classical counterparts.\r\nWe are further going to establish an asymptotic expression for the energy-momentum relation\r\nof the Fröhlich Polaron in the strong coupling limit. In the regime of suitably small momenta,\r\nthis asymptotic expression agrees with the energy-momentum relation of a free particle having\r\nan effectively increased mass, and we find that this effectively increased mass agrees with the\r\nconjectured value in the physics literature.\r\nIn addition we will discuss two unrelated papers written by the author during his stay at ISTA\r\nin the appendix. The first one concerns the realization of anyons, which are quasi-particles\r\nacquiring a non-trivial phase under the exchange of two particles, as molecular impurities.\r\nThe second one provides a classification of those vector fields defined on a given manifold\r\nthat can be written as the gradient of a given functional with respect to a suitable metric,\r\nprovided that some mild smoothness assumptions hold. This classification is subsequently\r\nused to identify those quantum Markov semigroups that can be written as a gradient flow of\r\nthe relative entropy.\r\n"}],"publication_status":"published","publication_identifier":{"issn":["2663-337X"]},"file_date_updated":"2023-01-26T10:02:42Z","author":[{"orcid":"0000-0002-6249-0928","first_name":"Morris","last_name":"Brooks","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"}],"day":"15","title":"Translation-invariant quantum systems with effectively broken symmetry","oa_version":"Published Version","date_created":"2023-01-26T10:00:42Z"},{"oa":1,"language":[{"iso":"eng"}],"citation":{"ista":"Tasciyan S. 2022. Role of microenvironment heterogeneity in cancer cell invasion. Institute of Science and Technology Austria.","chicago":"Tasciyan, Saren. “Role of Microenvironment Heterogeneity in Cancer Cell Invasion.” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/at:ista:12401\">https://doi.org/10.15479/at:ista:12401</a>.","mla":"Tasciyan, Saren. <i>Role of Microenvironment Heterogeneity in Cancer Cell Invasion</i>. Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/at:ista:12401\">10.15479/at:ista:12401</a>.","apa":"Tasciyan, S. (2022). <i>Role of microenvironment heterogeneity in cancer cell invasion</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12401\">https://doi.org/10.15479/at:ista:12401</a>","ama":"Tasciyan S. Role of microenvironment heterogeneity in cancer cell invasion. 2022. doi:<a href=\"https://doi.org/10.15479/at:ista:12401\">10.15479/at:ista:12401</a>","short":"S. Tasciyan, Role of Microenvironment Heterogeneity in Cancer Cell Invasion, Institute of Science and Technology Austria, 2022.","ieee":"S. Tasciyan, “Role of microenvironment heterogeneity in cancer cell invasion,” Institute of Science and Technology Austria, 2022."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","supervisor":[{"first_name":"Michael K","orcid":"0000-0002-6620-9179","last_name":"Sixt","full_name":"Sixt, Michael K","id":"41E9FBEA-F248-11E8-B48F-1D18A9856A87"}],"month":"12","department":[{"_id":"GradSch"},{"_id":"MiSi"}],"file":[{"file_id":"12402","file_size":42059787,"date_created":"2023-01-26T11:58:14Z","date_updated":"2023-12-21T23:30:03Z","creator":"cchlebak","embargo":"2023-12-20","relation":"main_file","checksum":"cc4a2b4a7e3c4ee8ef7f2dbf909b12bd","file_name":"PhD-Thesis_Saren Tasciyan_formatted_aftercrash_fixed_600dpi_95pc_final_PDFA3b.pdf","content_type":"application/pdf","access_level":"open_access"},{"content_type":"application/x-zip-compressed","access_level":"closed","file_name":"Source Files - Saren Tasciyan - PhD Thesis.zip","checksum":"f1b4ca98b8ab0cb043b1830971e9bd9c","relation":"source_file","date_updated":"2023-12-21T23:30:03Z","creator":"cchlebak","date_created":"2023-01-26T12:00:10Z","file_size":261256696,"embargo_to":"open_access","file_id":"12403"}],"has_accepted_license":"1","abstract":[{"lang":"eng","text":"Detachment of the cancer cells from the bulk of the tumor is the first step of metastasis, which\r\nis the primary cause of cancer related deaths. It is unclear, which factors contribute to this step.\r\nRecent studies indicate a crucial role of the tumor microenvironment in malignant\r\ntransformation and metastasis. Studying cancer cell invasion and detachments quantitatively in\r\nthe context of its physiological microenvironment is technically challenging. Especially, precise\r\ncontrol of microenvironmental properties in vivo is currently not possible. Here, I studied the\r\nrole of microenvironment geometry in the invasion and detachment of cancer cells from the\r\nbulk with a simplistic and reductionist approach. In this approach, I engineered microfluidic\r\ndevices to mimic a pseudo 3D extracellular matrix environment, where I was able to\r\nquantitatively tune the geometrical configuration of the microenvironment and follow tumor\r\ncells with fluorescence live imaging. To aid quantitative analysis I developed a widely applicable\r\nsoftware application to automatically analyze and visualize particle tracking data.\r\nQuantitative analysis of tumor cell invasion in isotropic and anisotropic microenvironments\r\nshowed that heterogeneity in the microenvironment promotes faster invasion and more\r\nfrequent detachment of cells. These observations correlated with overall higher speed of cells at\r\nthe edge of the bulk of the cells. In heterogeneous microenvironments cells preferentially\r\npassed through larger pores, thus invading areas of least resistance and generating finger-like\r\ninvasive structures. The detachments occurred mostly at the tips of these structures.\r\nTo investigate the potential mechanism, we established a two dimensional model to simulate\r\nactive Brownian particles representing the cell nuclei dynamics. These simulations backed our in\r\nvitro observations without the need of precise fitting the simulation parameters. Our model\r\nsuggests the importance of the pore heterogeneity in the direction perpendicular to the\r\norientation of bias field (lateral heterogeneity), which causes the interface roughening."}],"publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","file_date_updated":"2023-12-21T23:30:03Z","author":[{"first_name":"Saren","orcid":"0000-0003-1671-393X","last_name":"Tasciyan","full_name":"Tasciyan, Saren","id":"4323B49C-F248-11E8-B48F-1D18A9856A87"}],"day":"22","title":"Role of microenvironment heterogeneity in cancer cell invasion","oa_version":"Published Version","date_created":"2023-01-26T11:55:16Z","degree_awarded":"PhD","status":"public","date_published":"2022-12-22T00:00:00Z","year":"2022","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"679"},{"id":"10703","status":"public","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"7885"},{"relation":"part_of_dissertation","status":"public","id":"9429"}]},"page":"105","ddc":["610"],"doi":"10.15479/at:ista:12401","article_processing_charge":"No","alternative_title":["ISTA Thesis"],"publisher":"Institute of Science and Technology Austria","date_updated":"2024-09-10T12:04:26Z","_id":"12401","type":"dissertation"},{"language":[{"iso":"eng"}],"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Ishida, Sadashige, et al. “Hidden Degrees of Freedom in Implicit Vortex Filaments.” <i>ACM Transactions on Graphics</i>, vol. 41, no. 6, 241, Association for Computing Machinery, 2022, doi:<a href=\"https://doi.org/10.1145/3550454.3555459\">10.1145/3550454.3555459</a>.","apa":"Ishida, S., Wojtan, C., &#38; Chern, A. (2022). Hidden degrees of freedom in implicit vortex filaments. <i>ACM Transactions on Graphics</i>. Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3550454.3555459\">https://doi.org/10.1145/3550454.3555459</a>","ista":"Ishida S, Wojtan C, Chern A. 2022. Hidden degrees of freedom in implicit vortex filaments. ACM Transactions on Graphics. 41(6), 241.","chicago":"Ishida, Sadashige, Chris Wojtan, and Albert Chern. “Hidden Degrees of Freedom in Implicit Vortex Filaments.” <i>ACM Transactions on Graphics</i>. Association for Computing Machinery, 2022. <a href=\"https://doi.org/10.1145/3550454.3555459\">https://doi.org/10.1145/3550454.3555459</a>.","short":"S. Ishida, C. Wojtan, A. Chern, ACM Transactions on Graphics 41 (2022).","ieee":"S. Ishida, C. Wojtan, and A. Chern, “Hidden degrees of freedom in implicit vortex filaments,” <i>ACM Transactions on Graphics</i>, vol. 41, no. 6. Association for Computing Machinery, 2022.","ama":"Ishida S, Wojtan C, Chern A. Hidden degrees of freedom in implicit vortex filaments. <i>ACM Transactions on Graphics</i>. 2022;41(6). doi:<a href=\"https://doi.org/10.1145/3550454.3555459\">10.1145/3550454.3555459</a>"},"issue":"6","month":"12","file":[{"file_name":"2022_ACM_Ishida.pdf","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"a2fba257fdefe0e747182be6c0f7c70c","date_created":"2023-01-30T07:15:48Z","file_size":15551202,"creator":"dernst","date_updated":"2023-01-30T07:15:48Z","file_id":"12433"}],"article_number":"241","department":[{"_id":"ChWo"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"text":"This paper presents a new representation of curve dynamics, with applications to vortex filaments in fluid dynamics. Instead of representing these filaments with explicit curve geometry and Lagrangian equations of motion, we represent curves implicitly with a new co-dimensional 2 level set description. Our implicit representation admits several redundant mathematical degrees of freedom in both the configuration and the dynamics of the curves, which can be tailored specifically to improve numerical robustness, in contrast to naive approaches for implicit curve dynamics that suffer from overwhelming numerical stability problems. Furthermore, we note how these hidden degrees of freedom perfectly map to a Clebsch representation in fluid dynamics. Motivated by these observations, we introduce untwisted level set functions and non-swirling dynamics which successfully regularize sources of numerical instability, particularly in the twisting modes around curve filaments. A consequence is a novel simulation method which produces stable dynamics for large numbers of interacting vortex filaments and effortlessly handles topological changes and re-connection events.","lang":"eng"}],"intvolume":"        41","has_accepted_license":"1","file_date_updated":"2023-01-30T07:15:48Z","publication_identifier":{"issn":["0730-0301"],"eissn":["1557-7368"]},"publication_status":"published","oa_version":"Published Version","title":"Hidden degrees of freedom in implicit vortex filaments","scopus_import":"1","day":"01","author":[{"full_name":"Ishida, Sadashige","id":"6F7C4B96-A8E9-11E9-A7CA-09ECE5697425","last_name":"Ishida","first_name":"Sadashige"},{"orcid":"0000-0001-6646-5546","first_name":"Christopher J","full_name":"Wojtan, Christopher J","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87","last_name":"Wojtan"},{"first_name":"Albert","full_name":"Chern, Albert","last_name":"Chern"}],"date_created":"2023-01-29T23:00:59Z","article_type":"original","volume":41,"status":"public","publication":"ACM Transactions on Graphics","project":[{"_id":"34bc2376-11ca-11ed-8bc3-9a3b3961a088","name":"Computational Discovery of Numerical Algorithms for Animation and Simulation of Natural Phenomena","grant_number":"101045083"}],"date_published":"2022-12-01T00:00:00Z","acknowledgement":"We thank the visual computing group at IST Austria for their valuable discussions and feedback. Houdini Education licenses were provided by SideFX software. This project was funded in part by the European Research Council (ERC Consolidator Grant 101045083 CoDiNA).","external_id":{"isi":["000891651900061"]},"isi":1,"year":"2022","ddc":["000"],"quality_controlled":"1","publisher":"Association for Computing Machinery","article_processing_charge":"No","doi":"10.1145/3550454.3555459","type":"journal_article","_id":"12431","date_updated":"2023-08-04T09:37:23Z"},{"month":"12","department":[{"_id":"MaKw"}],"language":[{"iso":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Anastos, Michael. “Solving the Hamilton Cycle Problem Fast on Average.” In <i>63rd Annual IEEE Symposium on Foundations of Computer Science</i>, 2022–October:919–30. Institute of Electrical and Electronics Engineers, 2022. <a href=\"https://doi.org/10.1109/FOCS54457.2022.00091\">https://doi.org/10.1109/FOCS54457.2022.00091</a>.","ista":"Anastos M. 2022. Solving the Hamilton cycle problem fast on average. 63rd Annual IEEE Symposium on Foundations of Computer Science. FOCS: Symposium on Foundations of Computer Science vol. 2022–October, 919–930.","apa":"Anastos, M. (2022). Solving the Hamilton cycle problem fast on average. In <i>63rd Annual IEEE Symposium on Foundations of Computer Science</i> (Vol. 2022–October, pp. 919–930). Denver, CO, United States: Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/FOCS54457.2022.00091\">https://doi.org/10.1109/FOCS54457.2022.00091</a>","mla":"Anastos, Michael. “Solving the Hamilton Cycle Problem Fast on Average.” <i>63rd Annual IEEE Symposium on Foundations of Computer Science</i>, vol. 2022–October, Institute of Electrical and Electronics Engineers, 2022, pp. 919–30, doi:<a href=\"https://doi.org/10.1109/FOCS54457.2022.00091\">10.1109/FOCS54457.2022.00091</a>.","ama":"Anastos M. Solving the Hamilton cycle problem fast on average. In: <i>63rd Annual IEEE Symposium on Foundations of Computer Science</i>. Vol 2022-October. Institute of Electrical and Electronics Engineers; 2022:919-930. doi:<a href=\"https://doi.org/10.1109/FOCS54457.2022.00091\">10.1109/FOCS54457.2022.00091</a>","ieee":"M. Anastos, “Solving the Hamilton cycle problem fast on average,” in <i>63rd Annual IEEE Symposium on Foundations of Computer Science</i>, Denver, CO, United States, 2022, vol. 2022–October, pp. 919–930.","short":"M. Anastos, in:, 63rd Annual IEEE Symposium on Foundations of Computer Science, Institute of Electrical and Electronics Engineers, 2022, pp. 919–930."},"oa_version":"None","title":"Solving the Hamilton cycle problem fast on average","scopus_import":"1","day":"01","author":[{"first_name":"Michael","last_name":"Anastos","id":"0b2a4358-bb35-11ec-b7b9-e3279b593dbb","full_name":"Anastos, Michael"}],"date_created":"2023-01-29T23:00:59Z","volume":"2022-October","abstract":[{"lang":"eng","text":"We present CertifyHAM, a deterministic algorithm that takes a graph G as input and either finds a Hamilton cycle of G or outputs that such a cycle does not exist. If G ∼ G(n, p) and p ≥\r\n100 log n/n then the expected running time of CertifyHAM is O(n/p) which is best possible. This improves upon previous results due to Gurevich and Shelah, Thomason and Alon, and\r\nKrivelevich, who proved analogous results for p being constant, p ≥ 12n −1/3 and p ≥ 70n\r\n−1/2 respectively."}],"publication_identifier":{"isbn":["9781665455190"],"issn":["0272-5428"]},"publication_status":"published","external_id":{"isi":["000909382900084"]},"year":"2022","isi":1,"publication":"63rd Annual IEEE Symposium on Foundations of Computer Science","status":"public","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413","call_identifier":"H2020"}],"conference":{"location":"Denver, CO, United States","end_date":"2022-11-03","start_date":"2022-10-31","name":"FOCS: Symposium on Foundations of Computer Science"},"acknowledgement":"This project has received funding from the European Union’s Horizon 2020\r\nresearch and innovation programme under the Marie Skłodowska-Curie grant\r\nagreement No 101034413","date_published":"2022-12-01T00:00:00Z","ec_funded":1,"publisher":"Institute of Electrical and Electronics Engineers","article_processing_charge":"No","doi":"10.1109/FOCS54457.2022.00091","type":"conference","_id":"12432","date_updated":"2023-08-04T09:37:56Z","page":"919-930","quality_controlled":"1"},{"department":[{"_id":"BeBi"}],"article_number":"708","file":[{"creator":"bbickel","date_updated":"2023-01-30T10:48:18Z","file_size":5202710,"date_created":"2023-01-30T10:48:18Z","title":"VoRF: Volumetric Relightable Faces","file_id":"12453","content_type":"application/pdf","access_level":"open_access","file_name":"vorf_main.pdf","checksum":"b60b70bb48700aee709c85a69231821d","relation":"main_file"},{"checksum":"ce5f4ce66eaaa1590ee5df989fca6f61","relation":"supplementary_material","access_level":"open_access","content_type":"application/pdf","file_name":"vorf_supp.pdf","file_id":"12454","title":"VoRF: Volumetric Relightable Faces – SUPPLEMENTAL MATERIAL –","date_updated":"2023-01-30T10:48:29Z","creator":"bbickel","file_size":37953188,"date_created":"2023-01-30T10:48:29Z"},{"date_updated":"2023-01-30T10:48:37Z","creator":"bbickel","file_size":57855492,"date_created":"2023-01-30T10:48:37Z","file_id":"12455","access_level":"open_access","content_type":"video/mp4","file_name":"video.mp4","checksum":"08aecca434b08fee75ee1efe87943718","relation":"supplementary_material"}],"month":"12","citation":{"ama":"Rao P, B R M, Fox G, et al. VoRF: Volumetric Relightable Faces. In: <i>33rd British Machine Vision Conference</i>. British Machine Vision Association and Society for Pattern Recognition; 2022.","short":"P. Rao, M. B R, G. Fox, T. Weyrich, B. Bickel, H.-P. Seidel, H. Pfister, W. Matusik, A. Tewari, C. Theobalt, M. Elgharib, in:, 33rd British Machine Vision Conference, British Machine Vision Association and Society for Pattern Recognition, 2022.","ieee":"P. Rao <i>et al.</i>, “VoRF: Volumetric Relightable Faces,” in <i>33rd British Machine Vision Conference</i>, London, United Kingdom, 2022.","chicago":"Rao, Pramod, Mallikarjun B R, Gereon Fox, Tim Weyrich, Bernd Bickel, Hans-Peter Seidel, Hanspeter Pfister, et al. “VoRF: Volumetric Relightable Faces.” In <i>33rd British Machine Vision Conference</i>. British Machine Vision Association and Society for Pattern Recognition, 2022.","ista":"Rao P, B R M, Fox G, Weyrich T, Bickel B, Seidel H-P, Pfister H, Matusik W, Tewari A, Theobalt C, Elgharib M. 2022. VoRF: Volumetric Relightable Faces. 33rd British Machine Vision Conference. BMVC: British Machine Vision Conference, 708.","mla":"Rao, Pramod, et al. “VoRF: Volumetric Relightable Faces.” <i>33rd British Machine Vision Conference</i>, 708, British Machine Vision Association and Society for Pattern Recognition, 2022.","apa":"Rao, P., B R, M., Fox, G., Weyrich, T., Bickel, B., Seidel, H.-P., … Elgharib, M. (2022). VoRF: Volumetric Relightable Faces. In <i>33rd British Machine Vision Conference</i>. London, United Kingdom: British Machine Vision Association and Society for Pattern Recognition."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"language":[{"iso":"eng"}],"date_created":"2023-01-30T10:47:06Z","author":[{"full_name":"Rao, Pramod","last_name":"Rao","first_name":"Pramod"},{"first_name":"Mallikarjun","full_name":"B R, Mallikarjun","last_name":"B R"},{"first_name":"Gereon","full_name":"Fox, Gereon","last_name":"Fox"},{"first_name":"Tim","full_name":"Weyrich, Tim","last_name":"Weyrich"},{"first_name":"Bernd","orcid":"0000-0001-6511-9385","id":"49876194-F248-11E8-B48F-1D18A9856A87","full_name":"Bickel, Bernd","last_name":"Bickel"},{"first_name":"Hans-Peter","last_name":"Seidel","full_name":"Seidel, Hans-Peter"},{"first_name":"Hanspeter","full_name":"Pfister, Hanspeter","last_name":"Pfister"},{"first_name":"Wojciech","last_name":"Matusik","full_name":"Matusik, Wojciech"},{"first_name":"Ayush","last_name":"Tewari","full_name":"Tewari, Ayush"},{"last_name":"Theobalt","full_name":"Theobalt, Christian","first_name":"Christian"},{"first_name":"Mohamed","full_name":"Elgharib, Mohamed","last_name":"Elgharib"}],"day":"01","scopus_import":"1","oa_version":"Published Version","title":"VoRF: Volumetric Relightable Faces","publication_status":"published","file_date_updated":"2023-01-30T10:48:37Z","has_accepted_license":"1","abstract":[{"lang":"eng","text":"Portrait viewpoint and illumination editing is an important problem with several applications in VR/AR, movies, and photography. Comprehensive knowledge of geometry and illumination is critical for obtaining photorealistic results. Current methods are unable to explicitly model in 3D while handing both viewpoint and illumination editing from a single image. In this paper, we propose VoRF, a novel approach that can take even a single portrait image as input and relight human heads under novel illuminations that can be viewed from arbitrary viewpoints. VoRF represents a human head as a continuous volumetric field and learns a prior model of human heads using a coordinate-based MLP with separate latent spaces for identity and illumination. The prior model is learnt in an auto-decoder manner over a diverse class of head shapes and appearances, allowing VoRF to generalize to novel test identities from a single input image. Additionally, VoRF has a reflectance MLP that uses the intermediate features of the prior model for rendering One-Light-at-A-Time (OLAT) images under novel views. We synthesize novel illuminations by combining these OLAT images with target environment maps. Qualitative and quantitative evaluations demonstrate the effectiveness of VoRF for relighting and novel view synthesis even when applied to unseen subjects under uncontrolled illuminations."}],"year":"2022","acknowledgement":"This work was supported by the ERC Consolidator Grant 4DReply (770784).","date_published":"2022-12-01T00:00:00Z","conference":{"name":"BMVC: British Machine Vision Conference","end_date":"2022-11-24","start_date":"2022-11-21","location":"London, United Kingdom"},"status":"public","publication":"33rd British Machine Vision Conference","date_updated":"2023-10-31T08:40:55Z","_id":"12452","type":"conference","article_processing_charge":"No","publisher":"British Machine Vision Association and Society for Pattern Recognition","main_file_link":[{"url":"https://bmvc2022.mpi-inf.mpg.de/708/","open_access":"1"}],"quality_controlled":"1","ddc":["000"]},{"keyword":["Statistics","Probability and Uncertainty","Statistics and Probability","Statistical and Nonlinear Physics"],"year":"2022","isi":1,"external_id":{"isi":["000889589900001"]},"related_material":{"record":[{"id":"10598","status":"public","relation":"earlier_version"}]},"acknowledgement":"The authors would like to thank Andrea Montanari for helpful discussions.\r\nM Mondelli was partially supported by the 2019 Lopez-Loreta Prize. R Venkataramanan was partially supported by the Alan Turing Institute under the EPSRC Grant\r\nEP/N510129/1.","date_published":"2022-11-24T00:00:00Z","project":[{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"status":"public","publication":"Journal of Statistical Mechanics: Theory and Experiment","date_updated":"2024-03-07T10:36:52Z","_id":"12480","type":"journal_article","doi":"10.1088/1742-5468/ac9828","article_processing_charge":"Yes (via OA deal)","publisher":"IOP Publishing","quality_controlled":"1","ddc":["510","530"],"department":[{"_id":"MaMo"}],"file":[{"creator":"dernst","date_updated":"2023-02-02T08:35:52Z","file_size":1729997,"date_created":"2023-02-02T08:35:52Z","file_id":"12481","content_type":"application/pdf","access_level":"open_access","file_name":"2022_JourStatisticalMechanics_Mondelli.pdf","success":1,"checksum":"01411ffa76d3e380a0446baeb89b1ef7","relation":"main_file"}],"article_number":"114003","month":"11","issue":"11","citation":{"ama":"Mondelli M, Venkataramanan R. Approximate message passing with spectral initialization for generalized linear models. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2022;2022(11). doi:<a href=\"https://doi.org/10.1088/1742-5468/ac9828\">10.1088/1742-5468/ac9828</a>","short":"M. Mondelli, R. Venkataramanan, Journal of Statistical Mechanics: Theory and Experiment 2022 (2022).","ieee":"M. Mondelli and R. Venkataramanan, “Approximate message passing with spectral initialization for generalized linear models,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2022, no. 11. IOP Publishing, 2022.","ista":"Mondelli M, Venkataramanan R. 2022. Approximate message passing with spectral initialization for generalized linear models. Journal of Statistical Mechanics: Theory and Experiment. 2022(11), 114003.","chicago":"Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with Spectral Initialization for Generalized Linear Models.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2022. <a href=\"https://doi.org/10.1088/1742-5468/ac9828\">https://doi.org/10.1088/1742-5468/ac9828</a>.","mla":"Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with Spectral Initialization for Generalized Linear Models.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2022, no. 11, 114003, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1742-5468/ac9828\">10.1088/1742-5468/ac9828</a>.","apa":"Mondelli, M., &#38; Venkataramanan, R. (2022). Approximate message passing with spectral initialization for generalized linear models. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/ac9828\">https://doi.org/10.1088/1742-5468/ac9828</a>"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"language":[{"iso":"eng"}],"volume":2022,"article_type":"original","date_created":"2023-02-02T08:31:57Z","author":[{"orcid":"0000-0002-3242-7020","first_name":"Marco","last_name":"Mondelli","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425"},{"last_name":"Venkataramanan","full_name":"Venkataramanan, Ramji","first_name":"Ramji"}],"day":"24","scopus_import":"1","title":"Approximate message passing with spectral initialization for generalized linear models","oa_version":"Published Version","publication_status":"published","publication_identifier":{"issn":["1742-5468"]},"file_date_updated":"2023-02-02T08:35:52Z","has_accepted_license":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"intvolume":"      2022","abstract":[{"text":"We consider the problem of estimating a signal from measurements obtained via a generalized linear model. We focus on estimators based on approximate message passing (AMP), a family of iterative algorithms with many appealing features: the performance of AMP in the high-dimensional limit can be succinctly characterized under suitable model assumptions; AMP can also be tailored to the empirical distribution of the signal entries, and for a wide class of estimation problems, AMP is conjectured to be optimal among all polynomial-time algorithms. However, a major issue of AMP is that in many models (such as phase retrieval), it requires an initialization correlated with the ground-truth signal and independent from the measurement matrix. Assuming that such an initialization is available is typically not realistic. In this paper, we solve this problem by proposing an AMP algorithm initialized with a spectral estimator. With such an initialization, the standard AMP analysis fails since the spectral estimator depends in a complicated way on the design matrix. Our main contribution is a rigorous characterization of the performance of AMP with spectral initialization in the high-dimensional limit. The key technical idea is to define and analyze a two-phase artificial AMP algorithm that first produces the spectral estimator, and then closely approximates the iterates of the true AMP. We also provide numerical results that demonstrate the validity of the proposed approach.","lang":"eng"}]},{"project":[{"_id":"9B9290DE-BA93-11EA-9121-9846C619BF3A","grant_number":" W1260-N35","name":"Vienna Graduate School on Computational Optimization"}],"publication":"Transactions on Machine Learning Research","status":"public","date_published":"2022-12-22T00:00:00Z","acknowledgement":"The authors would like to thank Bernd Prach, Elias Frantar, Alexandra Peste, Mahdi Nikdan, and Peter Súkeník for their helpful feedback. This research was supported by the Scientific Service Units (SSU) of IST Austria through resources provided by Scientific Computing (SciComp). This publication was made possible by an ETH AI Center postdoctoral fellowship granted to Nikola Konstantinov. Eugenia Iofinova was supported in part by the FWF DK VGSCO, grant agreement number W1260-N35. ","external_id":{"arxiv":["2106.11732"]},"related_material":{"link":[{"relation":"software","description":"source code","url":"https://github.com/ISTAustria-CVML/FLEA"}]},"year":"2022","ddc":["000"],"quality_controlled":"1","main_file_link":[{"url":"https://openreview.net/forum?id=XsPopigZXV","open_access":"1"}],"publisher":"ML Research Press","article_processing_charge":"No","type":"journal_article","date_updated":"2023-02-23T10:30:54Z","_id":"12495","language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Iofinova, Eugenia B., et al. “FLEA: Provably Robust Fair Multisource Learning from Unreliable Training Data.” <i>Transactions on Machine Learning Research</i>, ML Research Press, 2022.","apa":"Iofinova, E. B., Konstantinov, N. H., &#38; Lampert, C. (2022). FLEA: Provably robust fair multisource learning from unreliable training data. <i>Transactions on Machine Learning Research</i>. ML Research Press.","chicago":"Iofinova, Eugenia B, Nikola H Konstantinov, and Christoph Lampert. “FLEA: Provably Robust Fair Multisource Learning from Unreliable Training Data.” <i>Transactions on Machine Learning Research</i>. ML Research Press, 2022.","ista":"Iofinova EB, Konstantinov NH, Lampert C. 2022. FLEA: Provably robust fair multisource learning from unreliable training data. Transactions on Machine Learning Research.","short":"E.B. Iofinova, N.H. Konstantinov, C. Lampert, Transactions on Machine Learning Research (2022).","ieee":"E. B. Iofinova, N. H. Konstantinov, and C. Lampert, “FLEA: Provably robust fair multisource learning from unreliable training data,” <i>Transactions on Machine Learning Research</i>. ML Research Press, 2022.","ama":"Iofinova EB, Konstantinov NH, Lampert C. FLEA: Provably robust fair multisource learning from unreliable training data. <i>Transactions on Machine Learning Research</i>. 2022."},"arxiv":1,"month":"12","file":[{"access_level":"open_access","content_type":"application/pdf","success":1,"file_name":"2022_TMLR_Iofinova.pdf","checksum":"97c8a8470759cab597abb973ca137a3b","relation":"main_file","creator":"dernst","date_updated":"2023-02-23T10:30:04Z","date_created":"2023-02-23T10:30:04Z","file_size":1948063,"file_id":"12673"}],"department":[{"_id":"ChLa"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"text":"Fairness-aware learning aims at constructing classifiers that not only make accurate predictions, but also do not discriminate against specific groups. It is a fast-growing area of\r\nmachine learning with far-reaching societal impact. However, existing fair learning methods\r\nare vulnerable to accidental or malicious artifacts in the training data, which can cause\r\nthem to unknowingly produce unfair classifiers. In this work we address the problem of\r\nfair learning from unreliable training data in the robust multisource setting, where the\r\navailable training data comes from multiple sources, a fraction of which might not be representative of the true data distribution. We introduce FLEA, a filtering-based algorithm\r\nthat identifies and suppresses those data sources that would have a negative impact on\r\nfairness or accuracy if they were used for training. As such, FLEA is not a replacement of\r\nprior fairness-aware learning methods but rather an augmentation that makes any of them\r\nrobust against unreliable training data. We show the effectiveness of our approach by a\r\ndiverse range of experiments on multiple datasets. Additionally, we prove formally that\r\n–given enough data– FLEA protects the learner against corruptions as long as the fraction of\r\naffected data sources is less than half. Our source code and documentation are available at\r\nhttps://github.com/ISTAustria-CVML/FLEA.","lang":"eng"}],"acknowledged_ssus":[{"_id":"ScienComp"}],"has_accepted_license":"1","publication_identifier":{"issn":["2835-8856"]},"publication_status":"published","file_date_updated":"2023-02-23T10:30:04Z","title":"FLEA: Provably robust fair multisource learning from unreliable training data","oa_version":"Published Version","author":[{"id":"f9a17499-f6e0-11ea-865d-fdf9a3f77117","full_name":"Iofinova, Eugenia B","last_name":"Iofinova","first_name":"Eugenia B","orcid":"0000-0002-7778-3221"},{"first_name":"Nikola H","id":"4B9D76E4-F248-11E8-B48F-1D18A9856A87","full_name":"Konstantinov, Nikola H","last_name":"Konstantinov"},{"first_name":"Christoph","orcid":"0000-0001-8622-7887","last_name":"Lampert","full_name":"Lampert, Christoph","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87"}],"day":"22","article_type":"original","date_created":"2023-02-02T20:29:57Z"},{"volume":243,"date_created":"2023-02-05T17:24:23Z","scopus_import":"1","day":"06","author":[{"last_name":"Henzinger","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","first_name":"Thomas A","orcid":"0000-0002-2985-7724"},{"first_name":"Karoliina","last_name":"Lehtinen","full_name":"Lehtinen, Karoliina"},{"first_name":"Patrick","full_name":"Totzke, Patrick","last_name":"Totzke"}],"title":"History-deterministic timed automata","oa_version":"Published Version","file_date_updated":"2023-02-06T09:21:09Z","publication_identifier":{"issn":["1868-8969"],"isbn":["9783959772464"]},"publication_status":"published","has_accepted_license":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"text":"We explore the notion of history-determinism in the context of timed automata (TA). History-deterministic automata are those in which nondeterminism can be resolved on the fly, based on the run constructed thus far. History-determinism is a robust property that admits different game-based characterisations, and history-deterministic specifications allow for game-based verification without an expensive determinization step.\r\nWe show yet another characterisation of history-determinism in terms of fair simulation, at the general level of labelled transition systems: a system is history-deterministic precisely if and only if it fairly simulates all language smaller systems.\r\nFor timed automata over infinite timed words it is known that universality is undecidable for Büchi TA. We show that for history-deterministic TA with arbitrary parity acceptance, timed universality, inclusion, and synthesis all remain decidable and are ExpTime-complete.\r\nFor the subclass of TA with safety or reachability acceptance, we show that checking whether such an automaton is history-deterministic is decidable (in ExpTime), and history-deterministic TA with safety acceptance are effectively determinizable without introducing new automata states.","lang":"eng"}],"intvolume":"       243","department":[{"_id":"ToHe"}],"file":[{"access_level":"open_access","content_type":"application/pdf","success":1,"file_name":"2022_LIPICs_Henzinger2.pdf","checksum":"9e97e15628f66b2ad77f535bb0327dee","relation":"main_file","creator":"dernst","date_updated":"2023-02-06T09:21:09Z","file_size":717940,"date_created":"2023-02-06T09:21:09Z","file_id":"12520"}],"month":"09","citation":{"short":"T.A. Henzinger, K. Lehtinen, P. Totzke, in:, 33rd International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 14:1-14:21.","ieee":"T. A. Henzinger, K. Lehtinen, and P. Totzke, “History-deterministic timed automata,” in <i>33rd International Conference on Concurrency Theory</i>, Warsaw, Poland, 2022, vol. 243, p. 14:1-14:21.","ama":"Henzinger TA, Lehtinen K, Totzke P. History-deterministic timed automata. In: <i>33rd International Conference on Concurrency Theory</i>. Vol 243. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:14:1-14:21. doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2022.14\">10.4230/LIPIcs.CONCUR.2022.14</a>","mla":"Henzinger, Thomas A., et al. “History-Deterministic Timed Automata.” <i>33rd International Conference on Concurrency Theory</i>, vol. 243, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 14:1-14:21, doi:<a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2022.14\">10.4230/LIPIcs.CONCUR.2022.14</a>.","apa":"Henzinger, T. A., Lehtinen, K., &#38; Totzke, P. (2022). History-deterministic timed automata. In <i>33rd International Conference on Concurrency Theory</i> (Vol. 243, p. 14:1-14:21). Warsaw, Poland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2022.14\">https://doi.org/10.4230/LIPIcs.CONCUR.2022.14</a>","chicago":"Henzinger, Thomas A, Karoliina Lehtinen, and Patrick Totzke. “History-Deterministic Timed Automata.” In <i>33rd International Conference on Concurrency Theory</i>, 243:14:1-14:21. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href=\"https://doi.org/10.4230/LIPIcs.CONCUR.2022.14\">https://doi.org/10.4230/LIPIcs.CONCUR.2022.14</a>.","ista":"Henzinger TA, Lehtinen K, Totzke P. 2022. History-deterministic timed automata. 33rd International Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol. 243, 14:1-14:21."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"language":[{"iso":"eng"}],"_id":"12508","date_updated":"2023-02-06T09:23:31Z","type":"conference","alternative_title":["LIPIcs"],"article_processing_charge":"No","doi":"10.4230/LIPIcs.CONCUR.2022.14","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","quality_controlled":"1","page":"14:1-14:21","ddc":["000"],"year":"2022","ec_funded":1,"conference":{"location":"Warsaw, Poland","name":"CONCUR: Conference on Concurrency Theory","end_date":"2022-09-16","start_date":"2022-09-13"},"date_published":"2022-09-06T00:00:00Z","acknowledgement":"Thomas A. Henzinger: This work was supported in part by the ERC-2020-AdG 101020093.\r\nPatrick Totzke: acknowledges support from the EPSRC, project no. EP/V025848/1.\r\n","publication":"33rd International Conference on Concurrency Theory","status":"public","project":[{"call_identifier":"H2020","grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software","_id":"62781420-2b32-11ec-9570-8d9b63373d4d"}]},{"ddc":["000"],"page":"3:1-3:6","quality_controlled":"1","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","doi":"10.4230/LIPIcs.MFCS.2022.3","article_processing_charge":"No","type":"conference","series_title":"Leibniz International Proceedings in Informatics (LIPIcs)","date_updated":"2023-02-06T09:16:54Z","_id":"12509","project":[{"_id":"62781420-2b32-11ec-9570-8d9b63373d4d","call_identifier":"H2020","grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software"}],"publication":"47th International Symposium on Mathematical Foundations of Computer Science","status":"public","acknowledgement":"Guy Avni: Work partially supported by the Israel Science Foundation, ISF grant agreement\r\nno 1679/21.\r\nThomas A. Henzinger: This work was supported in part by the ERC-2020-AdG 101020093.\r\nWe would like to thank all our collaborators Milad Aghajohari, Ventsislav Chonev, Rasmus Ibsen-Jensen, Ismäel Jecker, Petr Novotný, Josef Tkadlec, and Ðorđe Žikelić; we hope the collaboration was as fun and meaningful for you as it was for us.","date_published":"2022-08-22T00:00:00Z","conference":{"name":"MFCS: Symposium on Mathematical Foundations of Computer Science","end_date":"2022-08-26","start_date":"2022-08-22","location":"Vienna, Austria"},"ec_funded":1,"year":"2022","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"text":"A graph game is a two-player zero-sum game in which the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. In bidding games, both players have budgets, and in each turn, we hold an \"auction\" (bidding) to determine which player moves the token. In this survey, we consider several bidding mechanisms and their effect on the properties of the game. Specifically, bidding games, and in particular bidding games of infinite duration, have an intriguing equivalence with random-turn games in which in each turn, the player who moves is chosen randomly. We summarize how minor changes in the bidding mechanism lead to unexpected differences in the equivalence with random-turn games.","lang":"eng"}],"intvolume":"       241","has_accepted_license":"1","publication_identifier":{"isbn":["9783959772563"],"issn":["1868-8969"]},"publication_status":"published","file_date_updated":"2023-02-06T09:13:04Z","oa_version":"Published Version","title":"An updated survey of bidding games on graphs","author":[{"orcid":"0000-0001-5588-8287","first_name":"Guy","last_name":"Avni","id":"463C8BC2-F248-11E8-B48F-1D18A9856A87","full_name":"Avni, Guy"},{"id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","last_name":"Henzinger","orcid":"0000-0002-2985-7724","first_name":"Thomas A"}],"scopus_import":"1","day":"22","date_created":"2023-02-05T17:26:01Z","volume":241,"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","place":"Dagstuhl, Germany","citation":{"ieee":"G. Avni and T. A. Henzinger, “An updated survey of bidding games on graphs,” in <i>47th International Symposium on Mathematical Foundations of Computer Science</i>, Vienna, Austria, 2022, vol. 241, p. 3:1-3:6.","short":"G. Avni, T.A. Henzinger, in:, 47th International Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2022, p. 3:1-3:6.","ama":"Avni G, Henzinger TA. An updated survey of bidding games on graphs. In: <i>47th International Symposium on Mathematical Foundations of Computer Science</i>. Vol 241. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:3:1-3:6. doi:<a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2022.3\">10.4230/LIPIcs.MFCS.2022.3</a>","apa":"Avni, G., &#38; Henzinger, T. A. (2022). An updated survey of bidding games on graphs. In <i>47th International Symposium on Mathematical Foundations of Computer Science</i> (Vol. 241, p. 3:1-3:6). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2022.3\">https://doi.org/10.4230/LIPIcs.MFCS.2022.3</a>","mla":"Avni, Guy, and Thomas A. Henzinger. “An Updated Survey of Bidding Games on Graphs.” <i>47th International Symposium on Mathematical Foundations of Computer Science</i>, vol. 241, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 3:1-3:6, doi:<a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2022.3\">10.4230/LIPIcs.MFCS.2022.3</a>.","chicago":"Avni, Guy, and Thomas A Henzinger. “An Updated Survey of Bidding Games on Graphs.” In <i>47th International Symposium on Mathematical Foundations of Computer Science</i>, 241:3:1-3:6. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href=\"https://doi.org/10.4230/LIPIcs.MFCS.2022.3\">https://doi.org/10.4230/LIPIcs.MFCS.2022.3</a>.","ista":"Avni G, Henzinger TA. 2022. An updated survey of bidding games on graphs. 47th International Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer ScienceLeibniz International Proceedings in Informatics (LIPIcs) vol. 241, 3:1-3:6."},"month":"08","file":[{"content_type":"application/pdf","access_level":"open_access","file_name":"2022_LIPICs_Avni.pdf","success":1,"checksum":"1888ec9421622f9526fbec2de035f132","relation":"main_file","creator":"dernst","date_updated":"2023-02-06T09:13:04Z","file_size":624586,"date_created":"2023-02-06T09:13:04Z","file_id":"12519"}],"department":[{"_id":"ToHe"}]},{"publication_status":"published","publication_identifier":{"issn":["2159-5399"],"isbn":["978577358350"],"eissn":["2374-3468"]},"intvolume":"        36","abstract":[{"lang":"eng","text":"We introduce a new statistical verification algorithm that formally quantifies the behavioral robustness of any time-continuous process formulated as a continuous-depth model. Our algorithm solves a set of global optimization (Go) problems over a given time horizon to construct a tight enclosure (Tube) of the set of all process executions starting from a ball of initial states. We call our algorithm GoTube. Through its construction, GoTube ensures that the bounding tube is conservative up to a desired probability and up to a desired tightness.\r\n GoTube is implemented in JAX and optimized to scale to complex continuous-depth neural network models. Compared to advanced reachability analysis tools for time-continuous neural networks, GoTube does not accumulate overapproximation errors between time steps and avoids the infamous wrapping effect inherent in symbolic techniques. We show that GoTube substantially outperforms state-of-the-art verification tools in terms of the size of the initial ball, speed, time-horizon, task completion, and scalability on a large set of experiments.\r\n GoTube is stable and sets the state-of-the-art in terms of its ability to scale to time horizons well beyond what has been previously possible."}],"date_created":"2023-02-05T17:27:42Z","article_type":"original","volume":36,"oa_version":"Preprint","title":"GoTube: Scalable statistical verification of continuous-depth models","day":"28","scopus_import":"1","author":[{"full_name":"Gruenbacher, Sophie A.","last_name":"Gruenbacher","first_name":"Sophie A."},{"id":"3DC22916-F248-11E8-B48F-1D18A9856A87","full_name":"Lechner, Mathias","last_name":"Lechner","first_name":"Mathias"},{"first_name":"Ramin","last_name":"Hasani","full_name":"Hasani, Ramin"},{"full_name":"Rus, Daniela","last_name":"Rus","first_name":"Daniela"},{"last_name":"Henzinger","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","orcid":"0000-0002-2985-7724","first_name":"Thomas A"},{"last_name":"Smolka","full_name":"Smolka, Scott A.","first_name":"Scott A."},{"first_name":"Radu","full_name":"Grosu, Radu","last_name":"Grosu"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"S.A. Gruenbacher, M. Lechner, R. Hasani, D. Rus, T.A. Henzinger, S.A. Smolka, R. Grosu, Proceedings of the AAAI Conference on Artificial Intelligence 36 (2022) 6755–6764.","ieee":"S. A. Gruenbacher <i>et al.</i>, “GoTube: Scalable statistical verification of continuous-depth models,” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 36, no. 6. Association for the Advancement of Artificial Intelligence, pp. 6755–6764, 2022.","ama":"Gruenbacher SA, Lechner M, Hasani R, et al. GoTube: Scalable statistical verification of continuous-depth models. <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. 2022;36(6):6755-6764. doi:<a href=\"https://doi.org/10.1609/aaai.v36i6.20631\">10.1609/aaai.v36i6.20631</a>","mla":"Gruenbacher, Sophie A., et al. “GoTube: Scalable Statistical Verification of Continuous-Depth Models.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 36, no. 6, Association for the Advancement of Artificial Intelligence, 2022, pp. 6755–64, doi:<a href=\"https://doi.org/10.1609/aaai.v36i6.20631\">10.1609/aaai.v36i6.20631</a>.","apa":"Gruenbacher, S. A., Lechner, M., Hasani, R., Rus, D., Henzinger, T. A., Smolka, S. A., &#38; Grosu, R. (2022). GoTube: Scalable statistical verification of continuous-depth models. <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. Association for the Advancement of Artificial Intelligence. <a href=\"https://doi.org/10.1609/aaai.v36i6.20631\">https://doi.org/10.1609/aaai.v36i6.20631</a>","ista":"Gruenbacher SA, Lechner M, Hasani R, Rus D, Henzinger TA, Smolka SA, Grosu R. 2022. GoTube: Scalable statistical verification of continuous-depth models. Proceedings of the AAAI Conference on Artificial Intelligence. 36(6), 6755–6764.","chicago":"Gruenbacher, Sophie A., Mathias Lechner, Ramin Hasani, Daniela Rus, Thomas A Henzinger, Scott A. Smolka, and Radu Grosu. “GoTube: Scalable Statistical Verification of Continuous-Depth Models.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. Association for the Advancement of Artificial Intelligence, 2022. <a href=\"https://doi.org/10.1609/aaai.v36i6.20631\">https://doi.org/10.1609/aaai.v36i6.20631</a>."},"issue":"6","language":[{"iso":"eng"}],"oa":1,"department":[{"_id":"ToHe"}],"month":"06","arxiv":1,"quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/2107.08467","open_access":"1"}],"page":"6755-6764","type":"journal_article","_id":"12510","date_updated":"2023-09-26T10:46:59Z","publisher":"Association for the Advancement of Artificial Intelligence","article_processing_charge":"No","doi":"10.1609/aaai.v36i6.20631","date_published":"2022-06-28T00:00:00Z","acknowledgement":"SG is funded by the Austrian Science Fund (FWF) project number W1255-N23. ML and TH are supported in part by FWF under grant Z211-N23 (Wittgenstein Award) and the ERC-2020-AdG 101020093. SS is supported by NSF awards DCL-2040599, CCF-1918225, and CPS-1446832. RH and DR are partially supported by Boeing. RG is partially supported by Horizon-2020 ECSEL Project grant No. 783163 (iDev40).","ec_funded":1,"publication":"Proceedings of the AAAI Conference on Artificial Intelligence","status":"public","project":[{"call_identifier":"FWF","grant_number":"Z211","name":"The Wittgenstein Prize","_id":"25F42A32-B435-11E9-9278-68D0E5697425"},{"grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software","call_identifier":"H2020","_id":"62781420-2b32-11ec-9570-8d9b63373d4d"}],"keyword":["General Medicine"],"external_id":{"arxiv":["2107.08467"]},"year":"2022"},{"type":"journal_article","_id":"12511","date_updated":"2025-07-14T09:09:58Z","publisher":"Association for the Advancement of Artificial Intelligence","article_processing_charge":"No","doi":"10.1609/aaai.v36i7.20695","quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/2112.09495","open_access":"1"}],"page":"7326-7336","keyword":["General Medicine"],"related_material":{"record":[{"id":"14539","relation":"dissertation_contains","status":"public"}]},"external_id":{"arxiv":["2112.09495"]},"year":"2022","date_published":"2022-06-28T00:00:00Z","acknowledgement":"This work was supported in part by the ERC-2020-AdG 101020093, ERC CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie Grant Agreement No. 665385.","ec_funded":1,"publication":"Proceedings of the AAAI Conference on Artificial Intelligence","status":"public","project":[{"call_identifier":"H2020","name":"Vigilant Algorithmic Monitoring of Software","grant_number":"101020093","_id":"62781420-2b32-11ec-9570-8d9b63373d4d"},{"grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program"}],"date_created":"2023-02-05T17:29:50Z","article_type":"original","volume":36,"title":"Stability verification in stochastic control systems via neural network supermartingales","oa_version":"Preprint","day":"28","scopus_import":"1","author":[{"first_name":"Mathias","last_name":"Lechner","id":"3DC22916-F248-11E8-B48F-1D18A9856A87","full_name":"Lechner, Mathias"},{"last_name":"Zikelic","full_name":"Zikelic, Dorde","id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4681-1699","first_name":"Dorde"},{"last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","first_name":"Krishnendu"},{"last_name":"Henzinger","full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas A","orcid":"0000-0002-2985-7724"}],"publication_identifier":{"eissn":["2374-3468"],"issn":["2159-5399"],"isbn":["9781577358350"]},"publication_status":"published","abstract":[{"lang":"eng","text":"We consider the problem of formally verifying almost-sure (a.s.) asymptotic stability in discrete-time nonlinear stochastic control systems. While verifying stability in deterministic control systems is extensively studied in the literature, verifying stability in stochastic control systems is an open problem. The few existing works on this topic either consider only specialized forms of stochasticity or make restrictive assumptions on the system, rendering them inapplicable to learning algorithms with neural network policies. \r\n In this work, we present an approach for general nonlinear stochastic control problems with two novel aspects: (a) instead of classical stochastic extensions of Lyapunov functions, we use ranking supermartingales (RSMs) to certify a.s. asymptotic stability, and (b) we present a method for learning neural network RSMs. \r\n We prove that our approach guarantees a.s. asymptotic stability of the system and\r\n provides the first method to obtain bounds on the stabilization time, which stochastic Lyapunov functions do not.\r\n Finally, we validate our approach experimentally on a set of nonlinear stochastic reinforcement learning environments with neural network policies."}],"intvolume":"        36","department":[{"_id":"ToHe"},{"_id":"KrCh"}],"month":"06","arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Lechner, M., Zikelic, D., Chatterjee, K., &#38; Henzinger, T. A. (2022). Stability verification in stochastic control systems via neural network supermartingales. <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. Association for the Advancement of Artificial Intelligence. <a href=\"https://doi.org/10.1609/aaai.v36i7.20695\">https://doi.org/10.1609/aaai.v36i7.20695</a>","mla":"Lechner, Mathias, et al. “Stability Verification in Stochastic Control Systems via Neural Network Supermartingales.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 36, no. 7, Association for the Advancement of Artificial Intelligence, 2022, pp. 7326–36, doi:<a href=\"https://doi.org/10.1609/aaai.v36i7.20695\">10.1609/aaai.v36i7.20695</a>.","chicago":"Lechner, Mathias, Dorde Zikelic, Krishnendu Chatterjee, and Thomas A Henzinger. “Stability Verification in Stochastic Control Systems via Neural Network Supermartingales.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. Association for the Advancement of Artificial Intelligence, 2022. <a href=\"https://doi.org/10.1609/aaai.v36i7.20695\">https://doi.org/10.1609/aaai.v36i7.20695</a>.","ista":"Lechner M, Zikelic D, Chatterjee K, Henzinger TA. 2022. Stability verification in stochastic control systems via neural network supermartingales. Proceedings of the AAAI Conference on Artificial Intelligence. 36(7), 7326–7336.","ieee":"M. Lechner, D. Zikelic, K. Chatterjee, and T. A. Henzinger, “Stability verification in stochastic control systems via neural network supermartingales,” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 36, no. 7. Association for the Advancement of Artificial Intelligence, pp. 7326–7336, 2022.","short":"M. Lechner, D. Zikelic, K. Chatterjee, T.A. Henzinger, Proceedings of the AAAI Conference on Artificial Intelligence 36 (2022) 7326–7336.","ama":"Lechner M, Zikelic D, Chatterjee K, Henzinger TA. Stability verification in stochastic control systems via neural network supermartingales. <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>. 2022;36(7):7326-7336. doi:<a href=\"https://doi.org/10.1609/aaai.v36i7.20695\">10.1609/aaai.v36i7.20695</a>"},"issue":"7","language":[{"iso":"eng"}],"oa":1},{"publication_status":"published","publication_identifier":{"eissn":["1611-3349"],"issn":["0302-9743"],"isbn":["9783031223648"]},"intvolume":"     13748","abstract":[{"lang":"eng","text":"The homogeneous continuous LWE (hCLWE) problem is to distinguish samples of a specific high-dimensional Gaussian mixture from standard normal samples. It was shown to be at least as hard as Learning with Errors, but no reduction in the other direction is currently known.\r\nWe present four new public-key encryption schemes based on the hardness of hCLWE, with varying tradeoffs between decryption and security errors, and different discretization techniques. Our schemes yield a polynomial-time algorithm for solving hCLWE using a Statistical Zero-Knowledge oracle."}],"date_created":"2023-02-05T23:01:00Z","volume":13748,"oa_version":"Preprint","title":"Public-Key Encryption from Homogeneous CLWE","scopus_import":"1","day":"21","author":[{"first_name":"Andrej","last_name":"Bogdanov","full_name":"Bogdanov, Andrej"},{"first_name":"Miguel","last_name":"Cueto Noval","id":"ffc563a3-f6e0-11ea-865d-e3cce03d17cc","full_name":"Cueto Noval, Miguel"},{"first_name":"Charlotte","full_name":"Hoffmann, Charlotte","id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7","last_name":"Hoffmann"},{"first_name":"Alon","last_name":"Rosen","full_name":"Rosen, Alon"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"A. Bogdanov, M. Cueto Noval, C. Hoffmann, and A. Rosen, “Public-Key Encryption from Homogeneous CLWE,” in <i>Theory of Cryptography</i>, Chicago, IL, United States, 2022, vol. 13748, pp. 565–592.","short":"A. Bogdanov, M. Cueto Noval, C. Hoffmann, A. Rosen, in:, Theory of Cryptography, Springer Nature, 2022, pp. 565–592.","ama":"Bogdanov A, Cueto Noval M, Hoffmann C, Rosen A. Public-Key Encryption from Homogeneous CLWE. In: <i>Theory of Cryptography</i>. Vol 13748. Springer Nature; 2022:565-592. doi:<a href=\"https://doi.org/10.1007/978-3-031-22365-5_20\">10.1007/978-3-031-22365-5_20</a>","apa":"Bogdanov, A., Cueto Noval, M., Hoffmann, C., &#38; Rosen, A. (2022). Public-Key Encryption from Homogeneous CLWE. In <i>Theory of Cryptography</i> (Vol. 13748, pp. 565–592). Chicago, IL, United States: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-22365-5_20\">https://doi.org/10.1007/978-3-031-22365-5_20</a>","mla":"Bogdanov, Andrej, et al. “Public-Key Encryption from Homogeneous CLWE.” <i>Theory of Cryptography</i>, vol. 13748, Springer Nature, 2022, pp. 565–92, doi:<a href=\"https://doi.org/10.1007/978-3-031-22365-5_20\">10.1007/978-3-031-22365-5_20</a>.","ista":"Bogdanov A, Cueto Noval M, Hoffmann C, Rosen A. 2022. Public-Key Encryption from Homogeneous CLWE. Theory of Cryptography. TCC: Theory of Cryptography, LNCS, vol. 13748, 565–592.","chicago":"Bogdanov, Andrej, Miguel Cueto Noval, Charlotte Hoffmann, and Alon Rosen. “Public-Key Encryption from Homogeneous CLWE.” In <i>Theory of Cryptography</i>, 13748:565–92. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/978-3-031-22365-5_20\">https://doi.org/10.1007/978-3-031-22365-5_20</a>."},"language":[{"iso":"eng"}],"oa":1,"department":[{"_id":"KrPi"}],"month":"12","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2022/093"}],"page":"565-592","type":"conference","_id":"12516","date_updated":"2023-08-04T10:39:30Z","publisher":"Springer Nature","article_processing_charge":"No","alternative_title":["LNCS"],"doi":"10.1007/978-3-031-22365-5_20","date_published":"2022-12-21T00:00:00Z","acknowledgement":"We are grateful to Devika Sharma and Luca Trevisan for their insight and advice and to an anonymous reviewer for helpful comments.\r\n\r\nThis work was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No. 101019547). The first author was additionally supported by RGC GRF CUHK14209920 and the fourth author was additionally supported by ISF grant No. 1399/17, project PROMETHEUS (Grant 780701), and Cariplo CRYPTONOMEX grant.","conference":{"name":"TCC: Theory of Cryptography","start_date":"2022-11-07","end_date":"2022-11-10","location":"Chicago, IL, United States"},"publication":"Theory of Cryptography","status":"public","external_id":{"isi":["000921318200020"]},"isi":1,"year":"2022"},{"type":"research_data","date_created":"2023-02-07T08:13:39Z","date_updated":"2024-02-21T12:35:34Z","_id":"12522","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","title":"Data for \"Majorana-like Coulomb spectroscopy in the absence of zero bias peaks\"","author":[{"first_name":"Marco","last_name":"Valentini","id":"C0BB2FAC-D767-11E9-B658-BC13E6697425","full_name":"Valentini, Marco"},{"last_name":"San-Jose","full_name":"San-Jose, Pablo","first_name":"Pablo"},{"last_name":"Arbiol","full_name":"Arbiol, Jordi","first_name":"Jordi"},{"last_name":"Marti-Sanchez","full_name":"Marti-Sanchez, Sara","first_name":"Sara"},{"last_name":"Botifoll","full_name":"Botifoll, Marc","first_name":"Marc"}],"doi":"10.15479/AT:ISTA:12102","contributor":[{"id":"C0BB2FAC-D767-11E9-B658-BC13E6697425","last_name":"Valentini","contributor_type":"contact_person","first_name":"Marco"}],"article_processing_charge":"No","day":"25","file_date_updated":"2023-02-07T08:18:24Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"abstract":[{"lang":"eng","text":"This .zip File contains the transport data, the codes for the data analysis, the microscopy analysis and the codes for the theoretical simulations for \"Majorana-like Coulomb spectroscopy in the absence of zero bias peaks\" by M. Valentini, et. al. The transport data are saved with hdf5 file format. The files can be open with the log browser of Labber."}],"ddc":["530"],"has_accepted_license":"1","file":[{"creator":"dernst","date_updated":"2023-02-07T08:18:24Z","date_created":"2023-02-07T08:18:24Z","file_size":3609122411,"file_id":"12523","access_level":"open_access","content_type":"application/x-zip-compressed","success":1,"file_name":"Majorana_like.zip","checksum":"0dbd6327bf84c7e81b295c4bc9d12826","relation":"main_file"}],"department":[{"_id":"GeKa"}],"related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"12118"},{"status":"public","relation":"used_in_publication","id":"13286"}]},"month":"09","year":"2022","date_published":"2022-09-25T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"apa":"Valentini, M., San-Jose, P., Arbiol, J., Marti-Sanchez, S., &#38; Botifoll, M. (2022). Data for “Majorana-like Coulomb spectroscopy in the absence of zero bias peaks.” Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:12102\">https://doi.org/10.15479/AT:ISTA:12102</a>","mla":"Valentini, Marco, et al. <i>Data for “Majorana-like Coulomb Spectroscopy in the Absence of Zero Bias Peaks.”</i> Institute of Science and Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:12102\">10.15479/AT:ISTA:12102</a>.","ista":"Valentini M, San-Jose P, Arbiol J, Marti-Sanchez S, Botifoll M. 2022. Data for ‘Majorana-like Coulomb spectroscopy in the absence of zero bias peaks’, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT:ISTA:12102\">10.15479/AT:ISTA:12102</a>.","chicago":"Valentini, Marco, Pablo San-Jose, Jordi Arbiol, Sara Marti-Sanchez, and Marc Botifoll. “Data for ‘Majorana-like Coulomb Spectroscopy in the Absence of Zero Bias Peaks.’” Institute of Science and Technology Austria, 2022. <a href=\"https://doi.org/10.15479/AT:ISTA:12102\">https://doi.org/10.15479/AT:ISTA:12102</a>.","ieee":"M. Valentini, P. San-Jose, J. Arbiol, S. Marti-Sanchez, and M. Botifoll, “Data for ‘Majorana-like Coulomb spectroscopy in the absence of zero bias peaks.’” Institute of Science and Technology Austria, 2022.","short":"M. Valentini, P. San-Jose, J. Arbiol, S. Marti-Sanchez, M. Botifoll, (2022).","ama":"Valentini M, San-Jose P, Arbiol J, Marti-Sanchez S, Botifoll M. Data for “Majorana-like Coulomb spectroscopy in the absence of zero bias peaks.” 2022. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:12102\">10.15479/AT:ISTA:12102</a>"},"status":"public","oa":1},{"citation":{"ama":"Barbier J, Hou T, Mondelli M, Saenz M. The price of ignorance: How much does it cost to forget noise structure in low-rank matrix estimation? <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2205.10009\">10.48550/arXiv.2205.10009</a>","short":"J. Barbier, T. Hou, M. Mondelli, M. Saenz, ArXiv (n.d.).","ieee":"J. Barbier, T. Hou, M. Mondelli, and M. Saenz, “The price of ignorance: How much does it cost to forget noise structure in low-rank matrix estimation?,” <i>arXiv</i>. .","chicago":"Barbier, Jean, TianQi Hou, Marco Mondelli, and Manuel Saenz. “The Price of Ignorance: How Much Does It Cost to Forget Noise Structure in Low-Rank Matrix Estimation?” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2205.10009\">https://doi.org/10.48550/arXiv.2205.10009</a>.","ista":"Barbier J, Hou T, Mondelli M, Saenz M. The price of ignorance: How much does it cost to forget noise structure in low-rank matrix estimation? arXiv, 2205.10009.","mla":"Barbier, Jean, et al. “The Price of Ignorance: How Much Does It Cost to Forget Noise Structure in Low-Rank Matrix Estimation?” <i>ArXiv</i>, 2205.10009, doi:<a href=\"https://doi.org/10.48550/arXiv.2205.10009\">10.48550/arXiv.2205.10009</a>.","apa":"Barbier, J., Hou, T., Mondelli, M., &#38; Saenz, M. (n.d.). The price of ignorance: How much does it cost to forget noise structure in low-rank matrix estimation? <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2205.10009\">https://doi.org/10.48550/arXiv.2205.10009</a>"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2022-05-20T00:00:00Z","oa":1,"language":[{"iso":"eng"}],"status":"public","publication":"arXiv","department":[{"_id":"MaMo"}],"article_number":"2205.10009","year":"2022","month":"05","arxiv":1,"external_id":{"arxiv":["2205.10009"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2205.10009"}],"publication_status":"accepted","abstract":[{"lang":"eng","text":"We consider the problem of estimating a rank-1 signal corrupted by structured rotationally invariant noise, and address the following question: how well do inference algorithms perform when the noise statistics is unknown and hence Gaussian noise is assumed? While the matched Bayes-optimal setting with unstructured noise is well understood, the analysis of this mismatched problem is only at its premises. In this paper, we make a step towards understanding the effect of the strong source of mismatch which is the noise statistics. Our main technical contribution is the rigorous analysis of a Bayes estimator and of an approximate message passing (AMP) algorithm, both of which incorrectly assume a Gaussian setup. The first result exploits the theory of spherical integrals and of low-rank matrix perturbations; the idea behind the second one is to design and analyze an artificial AMP which, by taking advantage of the flexibility in the denoisers, is able to \"correct\" the mismatch. Armed with these sharp asymptotic characterizations, we unveil a rich and often unexpected phenomenology. For example, despite AMP is in principle designed to efficiently compute the Bayes estimator, the former is outperformed by the latter in terms of mean-square error. We show that this performance gap is due to an incorrect estimation of the signal norm. In fact, when the SNR is large enough, the overlaps of the AMP and the Bayes estimator coincide, and they even match those of optimal estimators taking into account the structure of the noise."}],"_id":"12536","date_updated":"2023-02-16T09:41:25Z","date_created":"2023-02-10T13:45:41Z","type":"preprint","article_processing_charge":"No","day":"20","doi":"10.48550/arXiv.2205.10009","author":[{"first_name":"Jean","full_name":"Barbier, Jean","last_name":"Barbier"},{"first_name":"TianQi","full_name":"Hou, TianQi","last_name":"Hou"},{"orcid":"0000-0002-3242-7020","first_name":"Marco","last_name":"Mondelli","id":"27EB676C-8706-11E9-9510-7717E6697425","full_name":"Mondelli, Marco"},{"first_name":"Manuel","full_name":"Saenz, Manuel","last_name":"Saenz"}],"title":"The price of ignorance: How much does it cost to forget noise structure in low-rank matrix estimation?","oa_version":"Preprint"},{"page":"7628-7640","quality_controlled":"1","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2205.10217"}],"publisher":"Curran Associates","article_processing_charge":"No","type":"conference","_id":"12537","date_updated":"2024-09-10T13:03:19Z","publication":"36th Conference on Neural Information Processing Systems","status":"public","project":[{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"acknowledgement":"The authors were partially supported by the 2019 Lopez-Loreta prize, and they would like to thank\r\nQuynh Nguyen, Mahdi Soltanolkotabi and Adel Javanmard for helpful discussions.\r\n","date_published":"2022-07-24T00:00:00Z","external_id":{"arxiv":["2205.10217"]},"year":"2022","abstract":[{"lang":"eng","text":"The Neural Tangent Kernel (NTK) has emerged as a powerful tool to provide memorization, optimization and generalization guarantees in deep neural networks. A line of work has studied the NTK spectrum for two-layer and deep networks with at least a layer with Ω(N) neurons, N being the number of training samples. Furthermore, there is increasing evidence suggesting that deep networks with sub-linear layer widths are powerful memorizers and optimizers, as long as the number of parameters exceeds the number of samples. Thus, a natural open question is whether the NTK is well conditioned in such a challenging sub-linear setup. In this paper, we answer this question in the affirmative. Our key technical contribution is a lower bound on the smallest NTK eigenvalue for deep networks with the minimum possible over-parameterization: the number of parameters is roughly Ω(N) and, hence, the number of neurons is as little as Ω(N−−√). To showcase the applicability of our NTK bounds, we provide two results concerning memorization capacity and optimization guarantees for gradient descent training."}],"intvolume":"        35","publication_status":"published","publication_identifier":{"isbn":["9781713871088"]},"oa_version":"Preprint","title":"Memorization and optimization in deep neural networks with minimum over-parameterization","day":"24","author":[{"first_name":"Simone","last_name":"Bombari","full_name":"Bombari, Simone","id":"ca726dda-de17-11ea-bc14-f9da834f63aa"},{"full_name":"Amani, Mohammad Hossein","last_name":"Amani","first_name":"Mohammad Hossein"},{"last_name":"Mondelli","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","first_name":"Marco","orcid":"0000-0002-3242-7020"}],"date_created":"2023-02-10T13:46:37Z","volume":35,"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Bombari, Simone, et al. “Memorization and Optimization in Deep Neural Networks with Minimum Over-Parameterization.” <i>36th Conference on Neural Information Processing Systems</i>, vol. 35, Curran Associates, 2022, pp. 7628–40.","apa":"Bombari, S., Amani, M. H., &#38; Mondelli, M. (2022). Memorization and optimization in deep neural networks with minimum over-parameterization. In <i>36th Conference on Neural Information Processing Systems</i> (Vol. 35, pp. 7628–7640). Curran Associates.","ista":"Bombari S, Amani MH, Mondelli M. 2022. Memorization and optimization in deep neural networks with minimum over-parameterization. 36th Conference on Neural Information Processing Systems. vol. 35, 7628–7640.","chicago":"Bombari, Simone, Mohammad Hossein Amani, and Marco Mondelli. “Memorization and Optimization in Deep Neural Networks with Minimum Over-Parameterization.” In <i>36th Conference on Neural Information Processing Systems</i>, 35:7628–40. Curran Associates, 2022.","short":"S. Bombari, M.H. Amani, M. Mondelli, in:, 36th Conference on Neural Information Processing Systems, Curran Associates, 2022, pp. 7628–7640.","ieee":"S. Bombari, M. H. Amani, and M. Mondelli, “Memorization and optimization in deep neural networks with minimum over-parameterization,” in <i>36th Conference on Neural Information Processing Systems</i>, 2022, vol. 35, pp. 7628–7640.","ama":"Bombari S, Amani MH, Mondelli M. Memorization and optimization in deep neural networks with minimum over-parameterization. In: <i>36th Conference on Neural Information Processing Systems</i>. Vol 35. Curran Associates; 2022:7628-7640."},"month":"07","arxiv":1,"department":[{"_id":"MaMo"}]},{"article_processing_charge":"No","doi":"10.1109/ITW54588.2022.9965870","publisher":"IEEE","_id":"12538","date_updated":"2023-12-18T11:31:47Z","type":"journal_article","page":"588-593","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2205.08199","open_access":"1"}],"quality_controlled":"1","year":"2022","external_id":{"arxiv":["2205.08199"]},"status":"public","publication":"IEEE Information Theory Workshop","date_published":"2022-11-16T00:00:00Z","conference":{"location":"Mumbai, India","name":"ITW: Information Theory Workshop","start_date":"2022-11-01","end_date":"2022-11-09"},"day":"16","scopus_import":"1","author":[{"first_name":"Mohammad Hossein","last_name":"Amani","full_name":"Amani, Mohammad Hossein"},{"first_name":"Simone","id":"ca726dda-de17-11ea-bc14-f9da834f63aa","full_name":"Bombari, Simone","last_name":"Bombari"},{"first_name":"Marco","orcid":"0000-0002-3242-7020","id":"27EB676C-8706-11E9-9510-7717E6697425","full_name":"Mondelli, Marco","last_name":"Mondelli"},{"first_name":"Rattana","full_name":"Pukdee, Rattana","last_name":"Pukdee"},{"first_name":"Stefano","last_name":"Rini","full_name":"Rini, Stefano"}],"title":"Sharp asymptotics on the compression of two-layer neural networks","oa_version":"Preprint","date_created":"2023-02-10T13:47:56Z","article_type":"original","abstract":[{"text":"In this paper, we study the compression of a target two-layer neural network with N nodes into a compressed network with M<N nodes. More precisely, we consider the setting in which the weights of the target network are i.i.d. sub-Gaussian, and we minimize the population L_2 loss between the outputs of the target and of the compressed network, under the assumption of Gaussian inputs. By using tools from high-dimensional probability, we show that this non-convex problem can be simplified when the target network is sufficiently over-parameterized, and provide the error rate of this approximation as a function of the input dimension and N. In this mean-field limit, the simplified objective, as well as the optimal weights of the compressed network, does not depend on the realization of the target network, but only on expected scaling factors. Furthermore, for networks with ReLU activation, we conjecture that the optimum of the simplified optimization problem is achieved by taking weights on the Equiangular Tight Frame (ETF), while the scaling of the weights and the orientation of the ETF depend on the parameters of the target network. Numerical evidence is provided to support this conjecture.","lang":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["9781665483414"]},"arxiv":1,"month":"11","department":[{"_id":"MaMo"}],"oa":1,"language":[{"iso":"eng"}],"citation":{"ama":"Amani MH, Bombari S, Mondelli M, Pukdee R, Rini S. Sharp asymptotics on the compression of two-layer neural networks. <i>IEEE Information Theory Workshop</i>. 2022:588-593. doi:<a href=\"https://doi.org/10.1109/ITW54588.2022.9965870\">10.1109/ITW54588.2022.9965870</a>","ieee":"M. H. Amani, S. Bombari, M. Mondelli, R. Pukdee, and S. Rini, “Sharp asymptotics on the compression of two-layer neural networks,” <i>IEEE Information Theory Workshop</i>. IEEE, pp. 588–593, 2022.","short":"M.H. Amani, S. Bombari, M. Mondelli, R. Pukdee, S. Rini, IEEE Information Theory Workshop (2022) 588–593.","ista":"Amani MH, Bombari S, Mondelli M, Pukdee R, Rini S. 2022. Sharp asymptotics on the compression of two-layer neural networks. IEEE Information Theory Workshop., 588–593.","chicago":"Amani, Mohammad Hossein, Simone Bombari, Marco Mondelli, Rattana Pukdee, and Stefano Rini. “Sharp Asymptotics on the Compression of Two-Layer Neural Networks.” <i>IEEE Information Theory Workshop</i>. IEEE, 2022. <a href=\"https://doi.org/10.1109/ITW54588.2022.9965870\">https://doi.org/10.1109/ITW54588.2022.9965870</a>.","apa":"Amani, M. H., Bombari, S., Mondelli, M., Pukdee, R., &#38; Rini, S. (2022). Sharp asymptotics on the compression of two-layer neural networks. <i>IEEE Information Theory Workshop</i>. Mumbai, India: IEEE. <a href=\"https://doi.org/10.1109/ITW54588.2022.9965870\">https://doi.org/10.1109/ITW54588.2022.9965870</a>","mla":"Amani, Mohammad Hossein, et al. “Sharp Asymptotics on the Compression of Two-Layer Neural Networks.” <i>IEEE Information Theory Workshop</i>, IEEE, 2022, pp. 588–93, doi:<a href=\"https://doi.org/10.1109/ITW54588.2022.9965870\">10.1109/ITW54588.2022.9965870</a>."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"year":"2022","status":"public","publication":"Proceedings of the 39th International Conference on Machine Learning","project":[{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"acknowledgement":"The authors would like to thank the anonymous reviewers for their helpful comments. KK and MM were partially supported by the 2019 Lopez-Loreta Prize.","date_published":"2022-01-01T00:00:00Z","conference":{"name":"ICML: International Conference on Machine Learning","end_date":"2022-07-23","start_date":"2022-07-17","location":"Baltimore, MD, United States"},"article_processing_charge":"No","publisher":"ML Research Press","_id":"12540","date_updated":"2024-09-10T13:03:17Z","type":"conference","ddc":["000"],"quality_controlled":"1","department":[{"_id":"MaMo"}],"article_number":"22","file":[{"file_id":"12547","date_created":"2023-02-13T10:53:11Z","file_size":2341343,"creator":"dernst","date_updated":"2023-02-13T10:53:11Z","relation":"main_file","checksum":"67436eb0a660789514cdf9db79e84683","success":1,"file_name":"2022_PMLR_Venkataramanan.pdf","access_level":"open_access","content_type":"application/pdf"}],"oa":1,"language":[{"iso":"eng"}],"citation":{"ieee":"R. Venkataramanan, K. Kögler, and M. Mondelli, “Estimation in rotationally invariant generalized linear models via approximate message passing,” in <i>Proceedings of the 39th International Conference on Machine Learning</i>, Baltimore, MD, United States, 2022, vol. 162.","short":"R. Venkataramanan, K. Kögler, M. Mondelli, in:, Proceedings of the 39th International Conference on Machine Learning, ML Research Press, 2022.","ama":"Venkataramanan R, Kögler K, Mondelli M. Estimation in rotationally invariant generalized linear models via approximate message passing. In: <i>Proceedings of the 39th International Conference on Machine Learning</i>. Vol 162. ML Research Press; 2022.","apa":"Venkataramanan, R., Kögler, K., &#38; Mondelli, M. (2022). Estimation in rotationally invariant generalized linear models via approximate message passing. In <i>Proceedings of the 39th International Conference on Machine Learning</i> (Vol. 162). Baltimore, MD, United States: ML Research Press.","mla":"Venkataramanan, Ramji, et al. “Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing.” <i>Proceedings of the 39th International Conference on Machine Learning</i>, vol. 162, 22, ML Research Press, 2022.","chicago":"Venkataramanan, Ramji, Kevin Kögler, and Marco Mondelli. “Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing.” In <i>Proceedings of the 39th International Conference on Machine Learning</i>, Vol. 162. ML Research Press, 2022.","ista":"Venkataramanan R, Kögler K, Mondelli M. 2022. Estimation in rotationally invariant generalized linear models via approximate message passing. Proceedings of the 39th International Conference on Machine Learning. ICML: International Conference on Machine Learning vol. 162, 22."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Ramji","last_name":"Venkataramanan","full_name":"Venkataramanan, Ramji"},{"id":"94ec913c-dc85-11ea-9058-e5051ab2428b","full_name":"Kögler, Kevin","last_name":"Kögler","first_name":"Kevin"},{"last_name":"Mondelli","id":"27EB676C-8706-11E9-9510-7717E6697425","full_name":"Mondelli, Marco","orcid":"0000-0002-3242-7020","first_name":"Marco"}],"title":"Estimation in rotationally invariant generalized linear models via approximate message passing","oa_version":"Published Version","volume":162,"date_created":"2023-02-10T13:49:04Z","has_accepted_license":"1","intvolume":"       162","abstract":[{"text":"We consider the problem of signal estimation in generalized linear models defined via rotationally invariant design matrices. Since these matrices can have an arbitrary spectral distribution, this model is well suited for capturing complex correlation structures which often arise in applications. We propose a novel family of approximate message passing (AMP) algorithms for signal estimation, and rigorously characterize their performance in the high-dimensional limit via a state evolution recursion. Our rotationally invariant AMP has complexity of the same order as the existing AMP derived under the restrictive assumption of a Gaussian design; our algorithm also recovers this existing AMP as a special case. Numerical results showcase a performance close to Vector AMP (which is conjectured to be Bayes-optimal in some settings), but obtained with a much lower complexity, as the proposed algorithm does not require a computationally expensive singular value decomposition.","lang":"eng"}],"file_date_updated":"2023-02-13T10:53:11Z","publication_status":"published"}]