[{"file":[{"date_updated":"2023-05-16T07:27:09Z","creator":"dernst","content_type":"application/pdf","file_size":1097603,"file_id":"12970","relation":"main_file","access_level":"open_access","file_name":"2019_AHPC_Schloegl.pdf","date_created":"2023-05-16T07:27:09Z","checksum":"acc8272027faaf30709c51ac5c58ffa4","success":1}],"publisher":"Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz","page":"25","article_processing_charge":"No","publication":"AHPC19 - Austrian HPC Meeting 2019 ","year":"2019","language":[{"iso":"eng"}],"status":"public","date_created":"2023-05-05T12:48:48Z","department":[{"_id":"ScienComp"}],"day":"27","oa":1,"title":"Is Debian suitable for running an HPC Cluster?","main_file_link":[{"url":"https://vsc.ac.at/fileadmin/user_upload/vsc/conferences/ahpc19/BOOKLET_AHPC19.pdf","open_access":"1"}],"author":[{"last_name":"Schlögl","orcid":"0000-0002-5621-8100","first_name":"Alois","id":"45BF87EE-F248-11E8-B48F-1D18A9856A87","full_name":"Schlögl, Alois"},{"full_name":"Kiss, Janos","id":"3D3A06F8-F248-11E8-B48F-1D18A9856A87","last_name":"Kiss","first_name":"Janos"},{"full_name":"Elefante, Stefano","last_name":"Elefante","first_name":"Stefano","id":"490F40CE-F248-11E8-B48F-1D18A9856A87"}],"conference":{"location":"Grundlsee, Austria","name":"AHPC: Austrian HPC Meeting","start_date":"2019-02-25","end_date":"2019-02-27"},"file_date_updated":"2023-05-16T07:27:09Z","oa_version":"Published Version","_id":"12901","date_updated":"2023-05-16T07:29:32Z","has_accepted_license":"1","citation":{"ieee":"A. Schlögl, J. Kiss, and S. Elefante, “Is Debian suitable for running an HPC Cluster?,” in <i>AHPC19 - Austrian HPC Meeting 2019 </i>, Grundlsee, Austria, 2019, p. 25.","mla":"Schlögl, Alois, et al. “Is Debian Suitable for Running an HPC Cluster?” <i>AHPC19 - Austrian HPC Meeting 2019 </i>, Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz, 2019, p. 25.","ama":"Schlögl A, Kiss J, Elefante S. Is Debian suitable for running an HPC Cluster? In: <i>AHPC19 - Austrian HPC Meeting 2019 </i>. Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz; 2019:25.","ista":"Schlögl A, Kiss J, Elefante S. 2019. Is Debian suitable for running an HPC Cluster? AHPC19 - Austrian HPC Meeting 2019 . AHPC: Austrian HPC Meeting, 25.","chicago":"Schlögl, Alois, Janos Kiss, and Stefano Elefante. “Is Debian Suitable for Running an HPC Cluster?” In <i>AHPC19 - Austrian HPC Meeting 2019 </i>, 25. Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz, 2019.","apa":"Schlögl, A., Kiss, J., &#38; Elefante, S. (2019). Is Debian suitable for running an HPC Cluster? In <i>AHPC19 - Austrian HPC Meeting 2019 </i> (p. 25). Grundlsee, Austria: Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz.","short":"A. Schlögl, J. Kiss, S. Elefante, in:, AHPC19 - Austrian HPC Meeting 2019 , Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz, 2019, p. 25."},"type":"conference_abstract","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"02","date_published":"2019-02-27T00:00:00Z","publication_status":"published","ddc":["000"]},{"article_processing_charge":"No","publisher":"Dryad","year":"2019","date_created":"2023-05-23T16:36:27Z","status":"public","department":[{"_id":"NiBa"}],"day":"02","oa":1,"title":"Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5061/dryad.tb2rbnzwk"}],"doi":"10.5061/DRYAD.TB2RBNZWK","author":[{"first_name":"Kerstin","last_name":"Johannesson","full_name":"Johannesson, Kerstin"},{"full_name":"Zagrodzka, Zuzanna","first_name":"Zuzanna","last_name":"Zagrodzka"},{"full_name":"Faria, Rui","first_name":"Rui","last_name":"Faria"},{"id":"3C147470-F248-11E8-B48F-1D18A9856A87","last_name":"Westram","orcid":"0000-0003-1050-4969","first_name":"Anja M","full_name":"Westram, Anja M"},{"first_name":"Roger","last_name":"Butlin","full_name":"Butlin, Roger"}],"related_material":{"record":[{"id":"7205","relation":"used_in_publication","status":"public"}]},"oa_version":"Published Version","_id":"13067","license":"https://creativecommons.org/publicdomain/zero/1.0/","type":"research_data_reference","abstract":[{"lang":"eng","text":"Genetic incompatibilities contribute to reproductive isolation between many diverging populations, but it is still unclear to what extent they play a role if divergence happens with gene flow. In contact zones between the \"Crab\" and \"Wave\" ecotypes of the snail Littorina saxatilis divergent selection forms strong barriers to gene flow, while the role of postzygotic barriers due to selection against hybrids remains unclear. High embryo abortion rates in this species could indicate the presence of such barriers. Postzygotic barriers might include genetic incompatibilities (e.g. Dobzhansky-Muller incompatibilities) but also maladaptation, both expected to be most pronounced in contact zones. In addition, embryo abortion might reflect physiological stress on females and embryos independent of any genetic stress. We examined all embryos of &gt;500 females sampled outside and inside contact zones of three populations in Sweden. Females' clutch size ranged from 0 to 1011 embryos (mean 130±123) and abortion rates varied between 0 and100% (mean 12%). We described female genotypes by using a hybrid index based on hundreds of SNPs differentiated between ecotypes with which we characterised female genotypes. We also calculated female SNP heterozygosity and inversion karyotype. Clutch size did not vary with female hybrid index and abortion rates were only weakly related to hybrid index in two sites but not at all in a third site. No additional variation in abortion rate was explained by female SNP heterozygosity, but increased female inversion heterozygosity added slightly to increased abortion. Our results show only weak and probably biologically insignificant postzygotic barriers contributing to ecotype divergence and the high and variable abortion rates were marginally, if at all, explained by hybrid index of females."}],"citation":{"ama":"Johannesson K, Zagrodzka Z, Faria R, Westram AM, Butlin R. Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes? 2019. doi:<a href=\"https://doi.org/10.5061/DRYAD.TB2RBNZWK\">10.5061/DRYAD.TB2RBNZWK</a>","mla":"Johannesson, Kerstin, et al. <i>Data from: Is Embryo Abortion a Postzygotic Barrier to Gene Flow between Littorina Ecotypes?</i> Dryad, 2019, doi:<a href=\"https://doi.org/10.5061/DRYAD.TB2RBNZWK\">10.5061/DRYAD.TB2RBNZWK</a>.","ieee":"K. Johannesson, Z. Zagrodzka, R. Faria, A. M. Westram, and R. Butlin, “Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?” Dryad, 2019.","short":"K. Johannesson, Z. Zagrodzka, R. Faria, A.M. Westram, R. Butlin, (2019).","apa":"Johannesson, K., Zagrodzka, Z., Faria, R., Westram, A. M., &#38; Butlin, R. (2019). Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes? Dryad. <a href=\"https://doi.org/10.5061/DRYAD.TB2RBNZWK\">https://doi.org/10.5061/DRYAD.TB2RBNZWK</a>","chicago":"Johannesson, Kerstin, Zuzanna Zagrodzka, Rui Faria, Anja M Westram, and Roger Butlin. “Data from: Is Embryo Abortion a Postzygotic Barrier to Gene Flow between Littorina Ecotypes?” Dryad, 2019. <a href=\"https://doi.org/10.5061/DRYAD.TB2RBNZWK\">https://doi.org/10.5061/DRYAD.TB2RBNZWK</a>.","ista":"Johannesson K, Zagrodzka Z, Faria R, Westram AM, Butlin R. 2019. Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?, Dryad, <a href=\"https://doi.org/10.5061/DRYAD.TB2RBNZWK\">10.5061/DRYAD.TB2RBNZWK</a>."},"date_updated":"2023-09-06T14:48:57Z","tmp":{"name":"Creative Commons Public Domain Dedication (CC0 1.0)","image":"/images/cc_0.png","short":"CC0 (1.0)","legal_code_url":"https://creativecommons.org/publicdomain/zero/1.0/legalcode"},"ddc":["570"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"12","date_published":"2019-12-02T00:00:00Z"},{"external_id":{"isi":["000456958800017"]},"author":[{"full_name":"Nikolic, Nela","orcid":"0000-0001-9068-6090","last_name":"Nikolic","first_name":"Nela","id":"42D9CABC-F248-11E8-B48F-1D18A9856A87"}],"volume":65,"project":[{"name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","call_identifier":"FP7"}],"_id":"138","abstract":[{"text":"Autoregulation is the direct modulation of gene expression by the product of the corresponding gene. Autoregulation of bacterial gene expression has been mostly studied at the transcriptional level, when a protein acts as the cognate transcriptional repressor. A recent study investigating dynamics of the bacterial toxin–antitoxin MazEF system has shown how autoregulation at both the transcriptional and post-transcriptional levels affects the heterogeneity of Escherichia coli populations. Toxin–antitoxin systems hold a crucial but still elusive part in bacterial response to stress. This perspective highlights how these modules can also serve as a great model system for investigating basic concepts in gene regulation. However, as the genomic background and environmental conditions substantially influence toxin activation, it is important to study (auto)regulation of toxin–antitoxin systems in well-defined setups as well as in conditions that resemble the environmental niche.","lang":"eng"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","publisher":"Springer","page":"133-138","file":[{"content_type":"application/pdf","file_size":776399,"creator":"dernst","date_updated":"2020-07-14T12:44:47Z","file_id":"5930","relation":"main_file","access_level":"open_access","file_name":"2019_CurrentGenetics_Nikolic.pdf","date_created":"2019-02-06T07:50:58Z","checksum":"6779708b0b632a1a6ed28c56f5161142"}],"status":"public","date_created":"2018-12-11T11:44:50Z","department":[{"_id":"CaGu"}],"isi":1,"day":"01","issue":"1","oa":1,"quality_controlled":"1","ec_funded":1,"doi":"10.1007/s00294-018-0879-8","publist_id":"7785","file_date_updated":"2020-07-14T12:44:47Z","oa_version":"Published Version","citation":{"apa":"Nikolic, N. (2019). Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system. <i>Current Genetics</i>. Springer. <a href=\"https://doi.org/10.1007/s00294-018-0879-8\">https://doi.org/10.1007/s00294-018-0879-8</a>","short":"N. Nikolic, Current Genetics 65 (2019) 133–138.","ista":"Nikolic N. 2019. Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system. Current Genetics. 65(1), 133–138.","chicago":"Nikolic, Nela. “Autoregulation of Bacterial Gene Expression: Lessons from the MazEF Toxin–Antitoxin System.” <i>Current Genetics</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00294-018-0879-8\">https://doi.org/10.1007/s00294-018-0879-8</a>.","ama":"Nikolic N. Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system. <i>Current Genetics</i>. 2019;65(1):133-138. doi:<a href=\"https://doi.org/10.1007/s00294-018-0879-8\">10.1007/s00294-018-0879-8</a>","ieee":"N. Nikolic, “Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system,” <i>Current Genetics</i>, vol. 65, no. 1. Springer, pp. 133–138, 2019.","mla":"Nikolic, Nela. “Autoregulation of Bacterial Gene Expression: Lessons from the MazEF Toxin–Antitoxin System.” <i>Current Genetics</i>, vol. 65, no. 1, Springer, 2019, pp. 133–38, doi:<a href=\"https://doi.org/10.1007/s00294-018-0879-8\">10.1007/s00294-018-0879-8</a>."},"has_accepted_license":"1","date_updated":"2023-09-08T13:23:42Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"scopus_import":"1","date_published":"2019-02-01T00:00:00Z","month":"02","ddc":["570"],"article_processing_charge":"Yes (via OA deal)","publication":"Current Genetics","year":"2019","language":[{"iso":"eng"}],"intvolume":"        65","title":"Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system"},{"external_id":{"arxiv":["1905.01258"]},"author":[{"id":"26cfd52f-2483-11ee-8040-88983bcc06d4","first_name":"Francesco","last_name":"Locatello","orcid":"0000-0002-4850-0683","full_name":"Locatello, Francesco"},{"full_name":"Tschannen, Michael","last_name":"Tschannen","first_name":"Michael"},{"full_name":"Bauer, Stefan","last_name":"Bauer","first_name":"Stefan"},{"first_name":"Gunnar","last_name":"Rätsch","full_name":"Rätsch, Gunnar"},{"full_name":"Schölkopf, Bernhard","last_name":"Schölkopf","first_name":"Bernhard"},{"first_name":"Olivier","last_name":"Bachem","full_name":"Bachem, Olivier"}],"conference":{"end_date":"2020-05-01","name":"ICLR: International Conference on Learning Representations","start_date":"2020-04-26","location":"Virtual"},"oa_version":"Preprint","date_updated":"2023-09-12T07:01:34Z","citation":{"ista":"Locatello F, Tschannen M, Bauer S, Rätsch G, Schölkopf B, Bachem O. 2019. Disentangling factors of variation using few labels. 8th International Conference on Learning Representations. ICLR: International Conference on Learning Representations.","chicago":"Locatello, Francesco, Michael Tschannen, Stefan Bauer, Gunnar Rätsch, Bernhard Schölkopf, and Olivier Bachem. “Disentangling Factors of Variation Using Few Labels.” In <i>8th International Conference on Learning Representations</i>, 2019.","apa":"Locatello, F., Tschannen, M., Bauer, S., Rätsch, G., Schölkopf, B., &#38; Bachem, O. (2019). Disentangling factors of variation using few labels. In <i>8th International Conference on Learning Representations</i>. Virtual.","short":"F. Locatello, M. Tschannen, S. Bauer, G. Rätsch, B. Schölkopf, O. Bachem, in:, 8th International Conference on Learning Representations, 2019.","ieee":"F. Locatello, M. Tschannen, S. Bauer, G. Rätsch, B. Schölkopf, and O. Bachem, “Disentangling factors of variation using few labels,” in <i>8th International Conference on Learning Representations</i>, Virtual, 2019.","mla":"Locatello, Francesco, et al. “Disentangling Factors of Variation Using Few Labels.” <i>8th International Conference on Learning Representations</i>, 2019.","ama":"Locatello F, Tschannen M, Bauer S, Rätsch G, Schölkopf B, Bachem O. Disentangling factors of variation using few labels. In: <i>8th International Conference on Learning Representations</i>. ; 2019."},"abstract":[{"text":"Learning disentangled representations is considered a cornerstone problem in\r\nrepresentation learning. Recently, Locatello et al. (2019) demonstrated that\r\nunsupervised disentanglement learning without inductive biases is theoretically\r\nimpossible and that existing inductive biases and unsupervised methods do not\r\nallow to consistently learn disentangled representations. However, in many\r\npractical settings, one might have access to a limited amount of supervision,\r\nfor example through manual labeling of (some) factors of variation in a few\r\ntraining examples. In this paper, we investigate the impact of such supervision\r\non state-of-the-art disentanglement methods and perform a large scale study,\r\ntraining over 52000 models under well-defined and reproducible experimental\r\nconditions. We observe that a small number of labeled examples (0.01--0.5\\% of\r\nthe data set), with potentially imprecise and incomplete labels, is sufficient\r\nto perform model selection on state-of-the-art unsupervised models. Further, we\r\ninvestigate the benefit of incorporating supervision into the training process.\r\nOverall, we empirically validate that with little and imprecise supervision it\r\nis possible to reliably learn disentangled representations.","lang":"eng"}],"type":"conference","_id":"14184","month":"12","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2019-12-20T00:00:00Z","publication_status":"published","scopus_import":"1","extern":"1","publication":"8th International Conference on Learning Representations","article_processing_charge":"No","status":"public","date_created":"2023-08-22T14:06:37Z","language":[{"iso":"eng"}],"year":"2019","day":"20","department":[{"_id":"FrLo"}],"main_file_link":[{"url":"https://arxiv.org/abs/1905.01258","open_access":"1"}],"title":"Disentangling factors of variation using few labels","quality_controlled":"1","arxiv":1,"oa":1},{"_id":"14189","abstract":[{"text":"We consider the problem of recovering a common latent source with independent\r\ncomponents from multiple views. This applies to settings in which a variable is\r\nmeasured with multiple experimental modalities, and where the goal is to\r\nsynthesize the disparate measurements into a single unified representation. We\r\nconsider the case that the observed views are a nonlinear mixing of\r\ncomponent-wise corruptions of the sources. When the views are considered\r\nseparately, this reduces to nonlinear Independent Component Analysis (ICA) for\r\nwhich it is provably impossible to undo the mixing. We present novel\r\nidentifiability proofs that this is possible when the multiple views are\r\nconsidered jointly, showing that the mixing can theoretically be undone using\r\nfunction approximators such as deep neural networks. In contrast to known\r\nidentifiability results for nonlinear ICA, we prove that independent latent\r\nsources with arbitrary mixing can be recovered as long as multiple,\r\nsufficiently different noisy views are available.","lang":"eng"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Gresele, Luigi","first_name":"Luigi","last_name":"Gresele"},{"full_name":"Rubenstein, Paul K.","last_name":"Rubenstein","first_name":"Paul K."},{"first_name":"Arash","last_name":"Mehrjou","full_name":"Mehrjou, Arash"},{"full_name":"Locatello, Francesco","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","first_name":"Francesco","orcid":"0000-0002-4850-0683","last_name":"Locatello"},{"full_name":"Schölkopf, Bernhard","first_name":"Bernhard","last_name":"Schölkopf"}],"external_id":{"arxiv":["1905.06642"]},"volume":115,"department":[{"_id":"FrLo"}],"day":"16","oa":1,"arxiv":1,"quality_controlled":"1","page":"217-227","publisher":"ML Research Press","date_created":"2023-08-22T14:08:35Z","status":"public","type":"conference","date_updated":"2023-09-12T08:07:38Z","citation":{"short":"L. Gresele, P.K. Rubenstein, A. Mehrjou, F. Locatello, B. Schölkopf, in:, Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence, ML Research Press, 2019, pp. 217–227.","apa":"Gresele, L., Rubenstein, P. K., Mehrjou, A., Locatello, F., &#38; Schölkopf, B. (2019). The incomplete Rosetta Stone problem: Identifiability results for multi-view nonlinear ICA. In <i>Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence</i> (Vol. 115, pp. 217–227). Tel Aviv, Israel: ML Research Press.","chicago":"Gresele, Luigi, Paul K. Rubenstein, Arash Mehrjou, Francesco Locatello, and Bernhard Schölkopf. “The Incomplete Rosetta Stone Problem: Identifiability Results for Multi-View Nonlinear ICA.” In <i>Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence</i>, 115:217–27. ML Research Press, 2019.","ista":"Gresele L, Rubenstein PK, Mehrjou A, Locatello F, Schölkopf B. 2019. The incomplete Rosetta Stone problem: Identifiability results for multi-view nonlinear ICA. Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence. UAI: Uncertainty in Artificial Intelligence, PMLR, vol. 115, 217–227.","ama":"Gresele L, Rubenstein PK, Mehrjou A, Locatello F, Schölkopf B. The incomplete Rosetta Stone problem: Identifiability results for multi-view nonlinear ICA. In: <i>Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence</i>. Vol 115. ML Research Press; 2019:217-227.","mla":"Gresele, Luigi, et al. “The Incomplete Rosetta Stone Problem: Identifiability Results for Multi-View Nonlinear ICA.” <i>Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence</i>, vol. 115, ML Research Press, 2019, pp. 217–27.","ieee":"L. Gresele, P. K. Rubenstein, A. Mehrjou, F. Locatello, and B. Schölkopf, “The incomplete Rosetta Stone problem: Identifiability results for multi-view nonlinear ICA,” in <i>Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence</i>, Tel Aviv, Israel, 2019, vol. 115, pp. 217–227."},"scopus_import":"1","month":"05","date_published":"2019-05-16T00:00:00Z","conference":{"location":"Tel Aviv, Israel","name":"UAI: Uncertainty in Artificial Intelligence","start_date":"2019-07-22","end_date":"2019-07-25"},"alternative_title":["PMLR"],"oa_version":"Preprint","title":"The incomplete Rosetta Stone problem: Identifiability results for multi-view nonlinear ICA","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1905.06642"}],"intvolume":"       115","article_processing_charge":"No","publication":"Proceedings of the 35th Conference on Uncertainty in Artificial  Intelligence","extern":"1","year":"2019","language":[{"iso":"eng"}]},{"citation":{"chicago":"Gondal, Muhammad Waleed, Manuel Wüthrich, Đorđe Miladinović, Francesco Locatello, Martin Breidt, Valentin Volchkov, Joel Akpo, Olivier Bachem, Bernhard Schölkopf, and Stefan Bauer. “On the Transfer of Inductive Bias from Simulation to the Real World: A New Disentanglement Dataset.” In <i>Advances in Neural Information Processing Systems</i>, Vol. 32, 2019.","ista":"Gondal MW, Wüthrich M, Miladinović Đ, Locatello F, Breidt M, Volchkov V, Akpo J, Bachem O, Schölkopf B, Bauer S. 2019. On the transfer of inductive bias from simulation to the real world: a new disentanglement dataset. Advances in Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems vol. 32.","short":"M.W. Gondal, M. Wüthrich, Đ. Miladinović, F. Locatello, M. Breidt, V. Volchkov, J. Akpo, O. Bachem, B. Schölkopf, S. Bauer, in:, Advances in Neural Information Processing Systems, 2019.","apa":"Gondal, M. W., Wüthrich, M., Miladinović, Đ., Locatello, F., Breidt, M., Volchkov, V., … Bauer, S. (2019). On the transfer of inductive bias from simulation to the real world: a new disentanglement dataset. In <i>Advances in Neural Information Processing Systems</i> (Vol. 32). Vancouver, Canada.","mla":"Gondal, Muhammad Waleed, et al. “On the Transfer of Inductive Bias from Simulation to the Real World: A New Disentanglement Dataset.” <i>Advances in Neural Information Processing Systems</i>, vol. 32, 2019.","ieee":"M. W. Gondal <i>et al.</i>, “On the transfer of inductive bias from simulation to the real world: a new disentanglement dataset,” in <i>Advances in Neural Information Processing Systems</i>, Vancouver, Canada, 2019, vol. 32.","ama":"Gondal MW, Wüthrich M, Miladinović Đ, et al. On the transfer of inductive bias from simulation to the real world: a new disentanglement dataset. In: <i>Advances in Neural Information Processing Systems</i>. Vol 32. ; 2019."},"date_updated":"2023-09-13T09:46:38Z","abstract":[{"lang":"eng","text":"Learning meaningful and compact representations with disentangled semantic\r\naspects is considered to be of key importance in representation learning. Since\r\nreal-world data is notoriously costly to collect, many recent state-of-the-art\r\ndisentanglement models have heavily relied on synthetic toy data-sets. In this\r\npaper, we propose a novel data-set which consists of over one million images of\r\nphysical 3D objects with seven factors of variation, such as object color,\r\nshape, size and position. In order to be able to control all the factors of\r\nvariation precisely, we built an experimental platform where the objects are\r\nbeing moved by a robotic arm. In addition, we provide two more datasets which\r\nconsist of simulations of the experimental setup. These datasets provide for\r\nthe first time the possibility to systematically investigate how well different\r\ndisentanglement methods perform on real data in comparison to simulation, and\r\nhow simulated data can be leveraged to build better representations of the real\r\nworld. We provide a first experimental study of these questions and our results\r\nindicate that learned models transfer poorly, but that model and hyperparameter\r\nselection is an effective means of transferring information to the real world."}],"type":"conference","_id":"14190","month":"06","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_published":"2019-06-07T00:00:00Z","publication_status":"published","author":[{"full_name":"Gondal, Muhammad Waleed","first_name":"Muhammad Waleed","last_name":"Gondal"},{"last_name":"Wüthrich","first_name":"Manuel","full_name":"Wüthrich, Manuel"},{"first_name":"Đorđe","last_name":"Miladinović","full_name":"Miladinović, Đorđe"},{"last_name":"Locatello","orcid":"0000-0002-4850-0683","first_name":"Francesco","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","full_name":"Locatello, Francesco"},{"last_name":"Breidt","first_name":"Martin","full_name":"Breidt, Martin"},{"full_name":"Volchkov, Valentin","first_name":"Valentin","last_name":"Volchkov"},{"full_name":"Akpo, Joel","first_name":"Joel","last_name":"Akpo"},{"full_name":"Bachem, Olivier","first_name":"Olivier","last_name":"Bachem"},{"first_name":"Bernhard","last_name":"Schölkopf","full_name":"Schölkopf, Bernhard"},{"full_name":"Bauer, Stefan","last_name":"Bauer","first_name":"Stefan"}],"external_id":{"arxiv":["1906.03292"]},"conference":{"location":"Vancouver, Canada","name":"NeurIPS: Neural Information Processing Systems","start_date":"2019-12-08","end_date":"2019-12-14"},"oa_version":"Preprint","volume":32,"publication_identifier":{"isbn":["9781713807933"]},"day":"07","department":[{"_id":"FrLo"}],"intvolume":"        32","main_file_link":[{"url":"https://arxiv.org/abs/1906.03292","open_access":"1"}],"title":"On the transfer of inductive bias from simulation to the real world: a new disentanglement dataset","quality_controlled":"1","arxiv":1,"oa":1,"extern":"1","article_processing_charge":"No","publication":"Advances in Neural Information Processing Systems","status":"public","date_created":"2023-08-22T14:09:13Z","year":"2019","language":[{"iso":"eng"}]},{"citation":{"ama":"Locatello F, Yurtsever A, Fercoq O, Cevher V. Stochastic Frank-Wolfe for composite convex minimization. In: <i>Advances in Neural Information Processing Systems</i>. Vol 32. ; 2019:14291–14301.","mla":"Locatello, Francesco, et al. “Stochastic Frank-Wolfe for Composite Convex Minimization.” <i>Advances in Neural Information Processing Systems</i>, vol. 32, 2019, pp. 14291–14301.","ieee":"F. Locatello, A. Yurtsever, O. Fercoq, and V. Cevher, “Stochastic Frank-Wolfe for composite convex minimization,” in <i>Advances in Neural Information Processing Systems</i>, Vancouver, Canada, 2019, vol. 32, pp. 14291–14301.","short":"F. Locatello, A. Yurtsever, O. Fercoq, V. Cevher, in:, Advances in Neural Information Processing Systems, 2019, pp. 14291–14301.","apa":"Locatello, F., Yurtsever, A., Fercoq, O., &#38; Cevher, V. (2019). Stochastic Frank-Wolfe for composite convex minimization. In <i>Advances in Neural Information Processing Systems</i> (Vol. 32, pp. 14291–14301). Vancouver, Canada.","chicago":"Locatello, Francesco, Alp Yurtsever, Olivier Fercoq, and Volkan Cevher. “Stochastic Frank-Wolfe for Composite Convex Minimization.” In <i>Advances in Neural Information Processing Systems</i>, 32:14291–14301, 2019.","ista":"Locatello F, Yurtsever A, Fercoq O, Cevher V. 2019. Stochastic Frank-Wolfe for composite convex minimization. Advances in Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems vol. 32, 14291–14301."},"date_updated":"2023-09-12T08:48:45Z","type":"conference","date_published":"2019-12-29T00:00:00Z","month":"12","scopus_import":"1","conference":{"location":"Vancouver, Canada","name":"NeurIPS: Neural Information Processing Systems","start_date":"2019-12-08","end_date":"2019-12-14"},"oa_version":"Preprint","intvolume":"        32","title":"Stochastic Frank-Wolfe for composite convex minimization","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1901.10348"}],"extern":"1","article_processing_charge":"No","publication":"Advances in Neural Information Processing Systems","year":"2019","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"A broad class of convex optimization problems can be formulated as a semidefinite program (SDP), minimization of a convex function over the positive-semidefinite cone subject to some affine constraints. The majority of classical SDP solvers are designed for the deterministic setting where problem data is readily available. In this setting, generalized conditional gradient methods (aka Frank-Wolfe-type methods) provide scalable solutions by leveraging the so-called linear minimization oracle instead of the projection onto the semidefinite cone. Most problems in machine learning and modern engineering applications, however, contain some degree of stochasticity. In this work, we propose the first conditional-gradient-type method for solving stochastic optimization problems under affine constraints. Our method guarantees O(k−1/3) convergence rate in expectation on the objective residual and O(k−5/12) on the feasibility gap."}],"_id":"14191","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","author":[{"full_name":"Locatello, Francesco","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","last_name":"Locatello","orcid":"0000-0002-4850-0683","first_name":"Francesco"},{"full_name":"Yurtsever, Alp","last_name":"Yurtsever","first_name":"Alp"},{"last_name":"Fercoq","first_name":"Olivier","full_name":"Fercoq, Olivier"},{"full_name":"Cevher, Volkan","first_name":"Volkan","last_name":"Cevher"}],"external_id":{"arxiv":["1901.10348"]},"volume":32,"publication_identifier":{"isbn":["9781713807933"]},"day":"29","department":[{"_id":"FrLo"}],"quality_controlled":"1","arxiv":1,"oa":1,"page":"14291–14301","status":"public","date_created":"2023-08-22T14:09:35Z"},{"publication_status":"published","month":"05","date_published":"2019-05-29T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14193","type":"conference","abstract":[{"text":"A disentangled representation encodes information about the salient factors\r\nof variation in the data independently. Although it is often argued that this\r\nrepresentational format is useful in learning to solve many real-world\r\ndown-stream tasks, there is little empirical evidence that supports this claim.\r\nIn this paper, we conduct a large-scale study that investigates whether\r\ndisentangled representations are more suitable for abstract reasoning tasks.\r\nUsing two new tasks similar to Raven's Progressive Matrices, we evaluate the\r\nusefulness of the representations learned by 360 state-of-the-art unsupervised\r\ndisentanglement models. Based on these representations, we train 3600 abstract\r\nreasoning models and observe that disentangled representations do in fact lead\r\nto better down-stream performance. In particular, they enable quicker learning\r\nusing fewer samples.","lang":"eng"}],"citation":{"ama":"Steenkiste S van, Locatello F, Schmidhuber J, Bachem O. Are disentangled representations helpful for abstract visual reasoning? In: <i>Advances in Neural Information Processing Systems</i>. Vol 32. ; 2019.","ieee":"S. van Steenkiste, F. Locatello, J. Schmidhuber, and O. Bachem, “Are disentangled representations helpful for abstract visual reasoning?,” in <i>Advances in Neural Information Processing Systems</i>, Vancouver, Canada, 2019, vol. 32.","mla":"Steenkiste, Sjoerd van, et al. “Are Disentangled Representations Helpful for Abstract Visual Reasoning?” <i>Advances in Neural Information Processing Systems</i>, vol. 32, 2019.","apa":"Steenkiste, S. van, Locatello, F., Schmidhuber, J., &#38; Bachem, O. (2019). Are disentangled representations helpful for abstract visual reasoning? In <i>Advances in Neural Information Processing Systems</i> (Vol. 32). Vancouver, Canada.","short":"S. van Steenkiste, F. Locatello, J. Schmidhuber, O. Bachem, in:, Advances in Neural Information Processing Systems, 2019.","ista":"Steenkiste S van, Locatello F, Schmidhuber J, Bachem O. 2019. Are disentangled representations helpful for abstract visual reasoning? Advances in Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems vol. 32.","chicago":"Steenkiste, Sjoerd van, Francesco Locatello, Jürgen Schmidhuber, and Olivier Bachem. “Are Disentangled Representations Helpful for Abstract Visual Reasoning?” In <i>Advances in Neural Information Processing Systems</i>, Vol. 32, 2019."},"date_updated":"2023-09-12T09:02:43Z","publication_identifier":{"isbn":["9781713807933"]},"volume":32,"oa_version":"Preprint","conference":{"end_date":"2019-12-14","start_date":"2019-12-08","name":"NeurIPS: Neural Information Processing Systems","location":"Vancouver, Canada"},"external_id":{"arxiv":["1905.12506"]},"author":[{"full_name":"Steenkiste, Sjoerd van","first_name":"Sjoerd van","last_name":"Steenkiste"},{"full_name":"Locatello, Francesco","first_name":"Francesco","orcid":"0000-0002-4850-0683","last_name":"Locatello","id":"26cfd52f-2483-11ee-8040-88983bcc06d4"},{"full_name":"Schmidhuber, Jürgen","first_name":"Jürgen","last_name":"Schmidhuber"},{"full_name":"Bachem, Olivier","first_name":"Olivier","last_name":"Bachem"}],"oa":1,"arxiv":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1905.12506"}],"title":"Are disentangled representations helpful for abstract visual reasoning?","quality_controlled":"1","intvolume":"        32","department":[{"_id":"FrLo"}],"day":"29","year":"2019","language":[{"iso":"eng"}],"date_created":"2023-08-22T14:09:53Z","status":"public","article_processing_charge":"No","publication":"Advances in Neural Information Processing Systems","extern":"1"},{"page":"14611–14624","date_created":"2023-08-22T14:12:28Z","status":"public","day":"08","department":[{"_id":"FrLo"}],"quality_controlled":"1","oa":1,"arxiv":1,"author":[{"full_name":"Locatello, Francesco","first_name":"Francesco","last_name":"Locatello","orcid":"0000-0002-4850-0683","id":"26cfd52f-2483-11ee-8040-88983bcc06d4"},{"full_name":"Abbati, Gabriele","first_name":"Gabriele","last_name":"Abbati"},{"last_name":"Rainforth","first_name":"Tom","full_name":"Rainforth, Tom"},{"last_name":"Bauer","first_name":"Stefan","full_name":"Bauer, Stefan"},{"full_name":"Schölkopf, Bernhard","first_name":"Bernhard","last_name":"Schölkopf"},{"last_name":"Bachem","first_name":"Olivier","full_name":"Bachem, Olivier"}],"external_id":{"arxiv":["1905.13662"]},"publication_identifier":{"isbn":["9781713807933"]},"volume":32,"abstract":[{"lang":"eng","text":"Recently there has been a significant interest in learning disentangled\r\nrepresentations, as they promise increased interpretability, generalization to\r\nunseen scenarios and faster learning on downstream tasks. In this paper, we\r\ninvestigate the usefulness of different notions of disentanglement for\r\nimproving the fairness of downstream prediction tasks based on representations.\r\nWe consider the setting where the goal is to predict a target variable based on\r\nthe learned representation of high-dimensional observations (such as images)\r\nthat depend on both the target variable and an \\emph{unobserved} sensitive\r\nvariable. We show that in this setting both the optimal and empirical\r\npredictions can be unfair, even if the target variable and the sensitive\r\nvariable are independent. Analyzing the representations of more than\r\n\\num{12600} trained state-of-the-art disentangled models, we observe that\r\nseveral disentanglement scores are consistently correlated with increased\r\nfairness, suggesting that disentanglement may be a useful property to encourage\r\nfairness when sensitive variables are not observed."}],"_id":"14197","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","publication":"Advances in Neural Information Processing Systems","article_processing_charge":"No","year":"2019","language":[{"iso":"eng"}],"title":"On the fairness of disentangled representations","main_file_link":[{"url":"https://arxiv.org/abs/1905.13662","open_access":"1"}],"intvolume":"        32","conference":{"location":"Vancouver, Canada","start_date":"2019-12-08","name":"NeurIPS: Neural Information Processing Systems","end_date":"2019-12-14"},"oa_version":"Preprint","type":"conference","citation":{"chicago":"Locatello, Francesco, Gabriele Abbati, Tom Rainforth, Stefan Bauer, Bernhard Schölkopf, and Olivier Bachem. “On the Fairness of Disentangled Representations.” In <i>Advances in Neural Information Processing Systems</i>, 32:14611–14624, 2019.","ista":"Locatello F, Abbati G, Rainforth T, Bauer S, Schölkopf B, Bachem O. 2019. On the fairness of disentangled representations. Advances in Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems vol. 32, 14611–14624.","short":"F. Locatello, G. Abbati, T. Rainforth, S. Bauer, B. Schölkopf, O. Bachem, in:, Advances in Neural Information Processing Systems, 2019, pp. 14611–14624.","apa":"Locatello, F., Abbati, G., Rainforth, T., Bauer, S., Schölkopf, B., &#38; Bachem, O. (2019). On the fairness of disentangled representations. In <i>Advances in Neural Information Processing Systems</i> (Vol. 32, pp. 14611–14624). Vancouver, Canada.","mla":"Locatello, Francesco, et al. “On the Fairness of Disentangled Representations.” <i>Advances in Neural Information Processing Systems</i>, vol. 32, 2019, pp. 14611–14624.","ieee":"F. Locatello, G. Abbati, T. Rainforth, S. Bauer, B. Schölkopf, and O. Bachem, “On the fairness of disentangled representations,” in <i>Advances in Neural Information Processing Systems</i>, Vancouver, Canada, 2019, vol. 32, pp. 14611–14624.","ama":"Locatello F, Abbati G, Rainforth T, Bauer S, Schölkopf B, Bachem O. On the fairness of disentangled representations. In: <i>Advances in Neural Information Processing Systems</i>. Vol 32. ; 2019:14611–14624."},"date_updated":"2023-09-12T09:37:22Z","month":"12","date_published":"2019-12-08T00:00:00Z","scopus_import":"1"},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1811.12359"}],"title":"Challenging common assumptions in the unsupervised learning of disentangled representations","intvolume":"        97","language":[{"iso":"eng"}],"year":"2019","extern":"1","publication":"Proceedings of the 36th International Conference on Machine Learning","article_processing_charge":"No","month":"06","date_published":"2019-06-09T00:00:00Z","scopus_import":"1","type":"conference","date_updated":"2023-09-13T07:45:30Z","citation":{"mla":"Locatello, Francesco, et al. “Challenging Common Assumptions in the Unsupervised Learning of Disentangled Representations.” <i>Proceedings of the 36th International Conference on Machine Learning</i>, vol. 97, ML Research Press, 2019, pp. 4114–24.","ieee":"F. Locatello <i>et al.</i>, “Challenging common assumptions in the unsupervised learning of disentangled representations,” in <i>Proceedings of the 36th International Conference on Machine Learning</i>, Long Beach, CA, United States, 2019, vol. 97, pp. 4114–4124.","ama":"Locatello F, Bauer S, Lucic M, et al. Challenging common assumptions in the unsupervised learning of disentangled representations. In: <i>Proceedings of the 36th International Conference on Machine Learning</i>. Vol 97. ML Research Press; 2019:4114-4124.","chicago":"Locatello, Francesco, Stefan Bauer, Mario Lucic, Gunnar Rätsch, Sylvain Gelly, Bernhard Schölkopf, and Olivier Bachem. “Challenging Common Assumptions in the Unsupervised Learning of Disentangled Representations.” In <i>Proceedings of the 36th International Conference on Machine Learning</i>, 97:4114–24. ML Research Press, 2019.","ista":"Locatello F, Bauer S, Lucic M, Rätsch G, Gelly S, Schölkopf B, Bachem O. 2019. Challenging common assumptions in the unsupervised learning of disentangled representations. Proceedings of the 36th International Conference on Machine Learning. International Conference on Machine Learning vol. 97, 4114–4124.","short":"F. Locatello, S. Bauer, M. Lucic, G. Rätsch, S. Gelly, B. Schölkopf, O. Bachem, in:, Proceedings of the 36th International Conference on Machine Learning, ML Research Press, 2019, pp. 4114–4124.","apa":"Locatello, F., Bauer, S., Lucic, M., Rätsch, G., Gelly, S., Schölkopf, B., &#38; Bachem, O. (2019). Challenging common assumptions in the unsupervised learning of disentangled representations. In <i>Proceedings of the 36th International Conference on Machine Learning</i> (Vol. 97, pp. 4114–4124). Long Beach, CA, United States: ML Research Press."},"oa_version":"Preprint","conference":{"name":"International Conference on Machine Learning","start_date":"2019-06-10","end_date":"2019-06-15","location":"Long Beach, CA, United States"},"quality_controlled":"1","oa":1,"arxiv":1,"day":"09","department":[{"_id":"FrLo"}],"date_created":"2023-08-22T14:13:08Z","status":"public","publisher":"ML Research Press","page":"4114-4124","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"The key idea behind the unsupervised learning of disentangled representations\r\nis that real-world data is generated by a few explanatory factors of variation\r\nwhich can be recovered by unsupervised learning algorithms. In this paper, we\r\nprovide a sober look at recent progress in the field and challenge some common\r\nassumptions. We first theoretically show that the unsupervised learning of\r\ndisentangled representations is fundamentally impossible without inductive\r\nbiases on both the models and the data. Then, we train more than 12000 models\r\ncovering most prominent methods and evaluation metrics in a reproducible\r\nlarge-scale experimental study on seven different data sets. We observe that\r\nwhile the different methods successfully enforce properties ``encouraged'' by\r\nthe corresponding losses, well-disentangled models seemingly cannot be\r\nidentified without supervision. Furthermore, increased disentanglement does not\r\nseem to lead to a decreased sample complexity of learning for downstream tasks.\r\nOur results suggest that future work on disentanglement learning should be\r\nexplicit about the role of inductive biases and (implicit) supervision,\r\ninvestigate concrete benefits of enforcing disentanglement of the learned\r\nrepresentations, and consider a reproducible experimental setup covering\r\nseveral data sets.","lang":"eng"}],"_id":"14200","volume":97,"author":[{"full_name":"Locatello, Francesco","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","orcid":"0000-0002-4850-0683","last_name":"Locatello","first_name":"Francesco"},{"full_name":"Bauer, Stefan","first_name":"Stefan","last_name":"Bauer"},{"full_name":"Lucic, Mario","first_name":"Mario","last_name":"Lucic"},{"full_name":"Rätsch, Gunnar","first_name":"Gunnar","last_name":"Rätsch"},{"first_name":"Sylvain","last_name":"Gelly","full_name":"Gelly, Sylvain"},{"last_name":"Schölkopf","first_name":"Bernhard","full_name":"Schölkopf, Bernhard"},{"last_name":"Bachem","first_name":"Olivier","full_name":"Bachem, Olivier"}],"external_id":{"arxiv":["1811.12359"]}},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1408.1587"}],"title":"Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity","intvolume":"       266","publication":"Journal of Differential Equations","article_processing_charge":"No","language":[{"iso":"eng"}],"year":"2019","type":"journal_article","date_updated":"2023-09-08T13:25:35Z","citation":{"apa":"Fischer, J. L., &#38; Kneuss, O. (2019). Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. <i>Journal of Differential Equations</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jde.2018.07.045\">https://doi.org/10.1016/j.jde.2018.07.045</a>","short":"J.L. Fischer, O. Kneuss, Journal of Differential Equations 266 (2019) 257–311.","ista":"Fischer JL, Kneuss O. 2019. Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. Journal of Differential Equations. 266(1), 257–311.","chicago":"Fischer, Julian L, and Olivier Kneuss. “Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with L p Data and Applications to Nonlinear Elasticity.” <i>Journal of Differential Equations</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.jde.2018.07.045\">https://doi.org/10.1016/j.jde.2018.07.045</a>.","ama":"Fischer JL, Kneuss O. Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. <i>Journal of Differential Equations</i>. 2019;266(1):257-311. doi:<a href=\"https://doi.org/10.1016/j.jde.2018.07.045\">10.1016/j.jde.2018.07.045</a>","ieee":"J. L. Fischer and O. Kneuss, “Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity,” <i>Journal of Differential Equations</i>, vol. 266, no. 1. Elsevier, pp. 257–311, 2019.","mla":"Fischer, Julian L., and Olivier Kneuss. “Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with L p Data and Applications to Nonlinear Elasticity.” <i>Journal of Differential Equations</i>, vol. 266, no. 1, Elsevier, 2019, pp. 257–311, doi:<a href=\"https://doi.org/10.1016/j.jde.2018.07.045\">10.1016/j.jde.2018.07.045</a>."},"scopus_import":"1","month":"01","date_published":"2019-01-05T00:00:00Z","doi":"10.1016/j.jde.2018.07.045","publist_id":"7770","oa_version":"Preprint","department":[{"_id":"JuFi"}],"day":"05","isi":1,"issue":"1","oa":1,"arxiv":1,"quality_controlled":"1","page":"257 - 311","publisher":"Elsevier","date_created":"2018-12-11T11:44:54Z","status":"public","_id":"151","abstract":[{"lang":"eng","text":"We construct planar bi-Sobolev mappings whose local volume distortion is bounded from below by a given function f∈Lp with p&gt;1. More precisely, for any 1&lt;q&lt;(p+1)/2 we construct W1,q-bi-Sobolev maps with identity boundary conditions; for f∈L∞, we provide bi-Lipschitz maps. The basic building block of our construction are bi-Lipschitz maps which stretch a given compact subset of the unit square by a given factor while preserving the boundary. The construction of these stretching maps relies on a slight strengthening of the celebrated covering result of Alberti, Csörnyei, and Preiss for measurable planar sets in the case of compact sets. We apply our result to a model functional in nonlinear elasticity, the integrand of which features fast blowup as the Jacobian determinant of the deformation becomes small. For such functionals, the derivation of the equilibrium equations for minimizers requires an additional regularization of test functions, which our maps provide."}],"publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","first_name":"Julian L","last_name":"Fischer","orcid":"0000-0002-0479-558X","full_name":"Fischer, Julian L"},{"first_name":"Olivier","last_name":"Kneuss","full_name":"Kneuss, Olivier"}],"external_id":{"isi":["000449108500010"],"arxiv":["1408.1587"]},"volume":266},{"abstract":[{"lang":"eng","text":"An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points."}],"_id":"175","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"},{"full_name":"Loughran, Daniel","last_name":"Loughran","first_name":"Daniel"}],"external_id":{"isi":["000464034200019"],"arxiv":["1705.01999"]},"publication_identifier":{"issn":["00029947"],"eissn":["10886850"]},"volume":371,"day":"15","isi":1,"department":[{"_id":"TiBr"}],"quality_controlled":"1","oa":1,"issue":"8","arxiv":1,"page":"5757-5785","publisher":"American Mathematical Society","date_created":"2018-12-11T11:45:01Z","status":"public","type":"journal_article","citation":{"short":"T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.","apa":"Browning, T. D., &#38; Loughran, D. (2019). Sieving rational points on varieties. <i>Transactions of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/tran/7514\">https://doi.org/10.1090/tran/7514</a>","chicago":"Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.” <i>Transactions of the American Mathematical Society</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.1090/tran/7514\">https://doi.org/10.1090/tran/7514</a>.","ista":"Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.","ama":"Browning TD, Loughran D. Sieving rational points on varieties. <i>Transactions of the American Mathematical Society</i>. 2019;371(8):5757-5785. doi:<a href=\"https://doi.org/10.1090/tran/7514\">10.1090/tran/7514</a>","mla":"Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85, doi:<a href=\"https://doi.org/10.1090/tran/7514\">10.1090/tran/7514</a>.","ieee":"T. D. Browning and D. Loughran, “Sieving rational points on varieties,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8. American Mathematical Society, pp. 5757–5785, 2019."},"date_updated":"2023-08-24T14:34:56Z","month":"04","date_published":"2019-04-15T00:00:00Z","scopus_import":"1","doi":"10.1090/tran/7514","publist_id":"7746","oa_version":"Preprint","title":"Sieving rational points on varieties","main_file_link":[{"url":"https://arxiv.org/abs/1705.01999","open_access":"1"}],"intvolume":"       371","article_processing_charge":"No","publication":"Transactions of the American Mathematical Society","year":"2019","language":[{"iso":"eng"}]},{"date_updated":"2023-09-11T14:09:34Z","citation":{"ama":"Lang M, Shkolnikov M. Harmonic dynamics of the Abelian sandpile. <i>Proceedings of the National Academy of Sciences</i>. 2019;116(8):2821-2830. doi:<a href=\"https://doi.org/10.1073/pnas.1812015116\">10.1073/pnas.1812015116</a>","mla":"Lang, Moritz, and Mikhail Shkolnikov. “Harmonic Dynamics of the Abelian Sandpile.” <i>Proceedings of the National Academy of Sciences</i>, vol. 116, no. 8, National Academy of Sciences, 2019, pp. 2821–30, doi:<a href=\"https://doi.org/10.1073/pnas.1812015116\">10.1073/pnas.1812015116</a>.","ieee":"M. Lang and M. Shkolnikov, “Harmonic dynamics of the Abelian sandpile,” <i>Proceedings of the National Academy of Sciences</i>, vol. 116, no. 8. National Academy of Sciences, pp. 2821–2830, 2019.","short":"M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences 116 (2019) 2821–2830.","apa":"Lang, M., &#38; Shkolnikov, M. (2019). Harmonic dynamics of the Abelian sandpile. <i>Proceedings of the National Academy of Sciences</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.1812015116\">https://doi.org/10.1073/pnas.1812015116</a>","chicago":"Lang, Moritz, and Mikhail Shkolnikov. “Harmonic Dynamics of the Abelian Sandpile.” <i>Proceedings of the National Academy of Sciences</i>. National Academy of Sciences, 2019. <a href=\"https://doi.org/10.1073/pnas.1812015116\">https://doi.org/10.1073/pnas.1812015116</a>.","ista":"Lang M, Shkolnikov M. 2019. Harmonic dynamics of the Abelian sandpile. Proceedings of the National Academy of Sciences. 116(8), 2821–2830."},"type":"journal_article","pmid":1,"date_published":"2019-02-19T00:00:00Z","month":"02","scopus_import":"1","related_material":{"link":[{"description":"News on IST Webpage","relation":"press_release","url":"https://ist.ac.at/en/news/famous-sandpile-model-shown-to-move-like-a-traveling-sand-dune/"}]},"doi":"10.1073/pnas.1812015116","article_type":"original","oa_version":"Published Version","acknowledgement":"M.L. is grateful to the members of the C Guet and G Tkacik groups for valuable comments and support. M.S. is grateful to Nikita Kalinin for inspiring communications.\r\n","intvolume":"       116","title":"Harmonic dynamics of the Abelian sandpile","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1073/pnas.1812015116"}],"publication":"Proceedings of the National Academy of Sciences","article_processing_charge":"No","language":[{"iso":"eng"}],"year":"2019","abstract":[{"text":"The abelian sandpile serves as a model to study self-organized criticality, a phenomenon occurring in biological, physical and social processes. The identity of the abelian group is a fractal composed of self-similar patches, and its limit is subject of extensive collaborative research. Here, we analyze the evolution of the sandpile identity under harmonic fields of different orders. We show that this evolution corresponds to periodic cycles through the abelian group characterized by the smooth transformation and apparent conservation of the patches constituting the identity. The dynamics induced by second and third order harmonics resemble smooth stretchings, respectively translations, of the identity, while the ones induced by fourth order harmonics resemble magnifications and rotations. Starting with order three, the dynamics pass through extended regions of seemingly random configurations which spontaneously reassemble into accentuated patterns. We show that the space of harmonic functions projects to the extended analogue of the sandpile group, thus providing a set of universal coordinates identifying configurations between different domains. Since the original sandpile group is a subgroup of the extended one, this directly implies that it admits a natural renormalization. Furthermore, we show that the harmonic fields can be induced by simple Markov processes, and that the corresponding stochastic dynamics show remarkable robustness over hundreds of periods. Finally, we encode information into seemingly random configurations, and decode this information with an algorithm requiring minimal prior knowledge. Our results suggest that harmonic fields might split the sandpile group into sub-sets showing different critical coefficients, and that it might be possible to extend the fractal structure of the identity beyond the boundaries of its domain. ","lang":"eng"}],"_id":"196","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","author":[{"id":"29E0800A-F248-11E8-B48F-1D18A9856A87","last_name":"Lang","first_name":"Moritz","full_name":"Lang, Moritz"},{"id":"35084A62-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","last_name":"Shkolnikov","orcid":"0000-0002-4310-178X","full_name":"Shkolnikov, Mikhail"}],"external_id":{"arxiv":["1806.10823"],"isi":["000459074400013"],"pmid":[" 30728300"]},"volume":116,"publication_identifier":{"eissn":["1091-6490"]},"isi":1,"day":"19","department":[{"_id":"CaGu"},{"_id":"GaTk"},{"_id":"TaHa"}],"quality_controlled":"1","arxiv":1,"issue":"8","oa":1,"publisher":"National Academy of Sciences","page":"2821-2830","status":"public","date_created":"2018-12-11T11:45:08Z"},{"volume":149,"project":[{"name":"Mapping Cell-Type Specificity of the Genomic Imprintome in the Brain","_id":"25D92700-B435-11E9-9278-68D0E5697425","grant_number":"LS13-002"},{"grant_number":"RGP0053/2014","_id":"25D7962E-B435-11E9-9278-68D0E5697425","name":"Quantitative Structure-Function Analysis of Cerebral Cortex Assembly at Clonal Level"},{"call_identifier":"FP7","grant_number":"618444","name":"Molecular Mechanisms of Cerebral Cortex Development","_id":"25D61E48-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","grant_number":"725780","name":"Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development","_id":"260018B0-B435-11E9-9278-68D0E5697425"}],"author":[{"full_name":"Amberg, Nicole","id":"4CD6AAC6-F248-11E8-B48F-1D18A9856A87","first_name":"Nicole","last_name":"Amberg","orcid":"0000-0002-3183-8207"},{"full_name":"Laukoter, Susanne","last_name":"Laukoter","orcid":"0000-0002-7903-3010","first_name":"Susanne","id":"2D6B7A9A-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Hippenmeyer, Simon","id":"37B36620-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","orcid":"0000-0003-2279-1061","last_name":"Hippenmeyer"}],"external_id":{"isi":["000462680200002"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","_id":"27","abstract":[{"lang":"eng","text":"The cerebral cortex is composed of a large variety of distinct cell-types including projection neurons, interneurons and glial cells which emerge from distinct neural stem cell (NSC) lineages. The vast majority of cortical projection neurons and certain classes of glial cells are generated by radial glial progenitor cells (RGPs) in a highly orchestrated manner. Recent studies employing single cell analysis and clonal lineage tracing suggest that NSC and RGP lineage progression are regulated in a profound deterministic manner. In this review we focus on recent advances based mainly on correlative phenotypic data emerging from functional genetic studies in mice. We establish hypotheses to test in future research and outline a conceptual framework how epigenetic cues modulate the generation of cell-type diversity during cortical development. This article is protected by copyright. All rights reserved."}],"status":"public","date_created":"2018-12-11T11:44:14Z","file":[{"relation":"main_file","file_id":"7239","creator":"kschuh","date_updated":"2020-07-14T12:45:45Z","file_size":889709,"content_type":"application/pdf","checksum":"db027721a95d36f5de36aadcd0bdf7e6","date_created":"2020-01-07T13:35:52Z","file_name":"2019_Wiley_Amberg.pdf","access_level":"open_access"}],"page":"12-26","publisher":"Wiley","oa":1,"issue":"1","quality_controlled":"1","department":[{"_id":"SiHi"}],"isi":1,"day":"01","file_date_updated":"2020-07-14T12:45:45Z","oa_version":"Published Version","ec_funded":1,"doi":"10.1111/jnc.14601","article_type":"review","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"scopus_import":"1","date_published":"2019-04-01T00:00:00Z","month":"04","ddc":["570"],"date_updated":"2023-09-11T13:40:26Z","has_accepted_license":"1","citation":{"ama":"Amberg N, Laukoter S, Hippenmeyer S. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. <i>Journal of Neurochemistry</i>. 2019;149(1):12-26. doi:<a href=\"https://doi.org/10.1111/jnc.14601\">10.1111/jnc.14601</a>","ieee":"N. Amberg, S. Laukoter, and S. Hippenmeyer, “Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex,” <i>Journal of Neurochemistry</i>, vol. 149, no. 1. Wiley, pp. 12–26, 2019.","mla":"Amberg, Nicole, et al. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” <i>Journal of Neurochemistry</i>, vol. 149, no. 1, Wiley, 2019, pp. 12–26, doi:<a href=\"https://doi.org/10.1111/jnc.14601\">10.1111/jnc.14601</a>.","apa":"Amberg, N., Laukoter, S., &#38; Hippenmeyer, S. (2019). Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. <i>Journal of Neurochemistry</i>. Wiley. <a href=\"https://doi.org/10.1111/jnc.14601\">https://doi.org/10.1111/jnc.14601</a>","short":"N. Amberg, S. Laukoter, S. Hippenmeyer, Journal of Neurochemistry 149 (2019) 12–26.","ista":"Amberg N, Laukoter S, Hippenmeyer S. 2019. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. 149(1), 12–26.","chicago":"Amberg, Nicole, Susanne Laukoter, and Simon Hippenmeyer. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” <i>Journal of Neurochemistry</i>. Wiley, 2019. <a href=\"https://doi.org/10.1111/jnc.14601\">https://doi.org/10.1111/jnc.14601</a>."},"type":"journal_article","year":"2019","language":[{"iso":"eng"}],"article_processing_charge":"Yes (via OA deal)","publication":"Journal of Neurochemistry","intvolume":"       149","title":"Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex","acknowledgement":" This work was supported by IST Austria institutional funds; NÖ Forschung und Bildung \r\nn[f+b]   (C13-002)   to   SH;   a   program   grant   from   the   Human   Frontiers   Science   Program (RGP0053/2014)  to SH;  the  People  Programme  (Marie  Curie  Actions)  of  the  European  Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement No 618444 to SH, and the  European  Research  Council  (ERC)  under  the  European  Union’s  Horizon  2020  research  and innovation programme (grant agreement No 725780 LinPro)to SH.\r\n"},{"oa_version":"Preprint","doi":"10.1016/j.spa.2018.04.003","article_type":"original","month":"03","date_published":"2019-03-01T00:00:00Z","scopus_import":"1","date_updated":"2023-08-24T14:20:49Z","citation":{"chicago":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>.","ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012.","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.","apa":"Gerencser, M., &#38; Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>","mla":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>.","ieee":"M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” <i>Stochastic Processes and their Applications</i>, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.","ama":"Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and their Applications</i>. 2019;129(3):995-1012. doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>"},"type":"journal_article","year":"2019","language":[{"iso":"eng"}],"article_processing_charge":"No","publication":"Stochastic Processes and their Applications","intvolume":"       129","main_file_link":[{"url":"https://arxiv.org/abs/1611.04177","open_access":"1"}],"title":"A Feynman–Kac formula for stochastic Dirichlet problems","volume":129,"external_id":{"isi":["000458945300012"],"arxiv":["1611.04177"]},"author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser","first_name":"Mate","full_name":"Gerencser, Mate"},{"last_name":"Gyöngy","first_name":"István","full_name":"Gyöngy, István"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","abstract":[{"text":"A representation formula for solutions of stochastic partial differential equations with Dirichlet boundary conditions is proved. The scope of our setting is wide enough to cover the general situation when the backward characteristics that appear in the usual formulation are not even defined in the Itô sense.","lang":"eng"}],"_id":"301","status":"public","date_created":"2018-12-11T11:45:42Z","page":"995-1012","publisher":"Elsevier","quality_controlled":"1","arxiv":1,"oa":1,"issue":"3","isi":1,"day":"01","department":[{"_id":"JaMa"}]},{"file":[{"relation":"main_file","file_id":"5722","file_size":893182,"content_type":"application/pdf","creator":"dernst","date_updated":"2020-07-14T12:46:03Z","checksum":"288d16ef7291242f485a9660979486e3","date_created":"2018-12-17T16:25:24Z","file_name":"2018_ProbTheory_Gerencser.pdf","access_level":"open_access"}],"page":"697–758","publisher":"Springer","status":"public","date_created":"2018-12-11T11:45:48Z","isi":1,"day":"01","department":[{"_id":"JaMa"}],"quality_controlled":"1","oa":1,"issue":"3-4","author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser","first_name":"Mate","full_name":"Gerencser, Mate"},{"full_name":"Hairer, Martin","first_name":"Martin","last_name":"Hairer"}],"external_id":{"isi":["000463613800001"]},"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"volume":173,"publication_identifier":{"eissn":["14322064"],"issn":["01788051"]},"abstract":[{"text":"We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition.","lang":"eng"}],"_id":"319","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","article_processing_charge":"Yes (via OA deal)","publication":"Probability Theory and Related Fields","language":[{"iso":"eng"}],"year":"2019","acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","intvolume":"       173","title":"Singular SPDEs in domains with boundaries","doi":"10.1007/s00440-018-0841-1","publist_id":"7546","article_type":"original","oa_version":"Published Version","file_date_updated":"2020-07-14T12:46:03Z","has_accepted_license":"1","date_updated":"2023-08-24T14:38:32Z","citation":{"ama":"Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. 2019;173(3-4):697–758. doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>","mla":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>.","ieee":"M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.","short":"M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.","apa":"Gerencser, M., &#38; Hairer, M. (2019). Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>","chicago":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>.","ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758."},"type":"journal_article","month":"04","date_published":"2019-04-01T00:00:00Z","ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"scopus_import":"1"},{"arxiv":1,"oa":1,"quality_controlled":"1","department":[{"_id":"LaEr"}],"isi":1,"day":"01","status":"public","date_created":"2018-12-11T11:46:17Z","publisher":"Elsevier","page":"67-78","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","_id":"405","abstract":[{"lang":"eng","text":"We investigate the quantum Jensen divergences from the viewpoint of joint convexity. It turns out that the set of the functions which generate jointly convex quantum Jensen divergences on positive matrices coincides with the Matrix Entropy Class which has been introduced by Chen and Tropp quite recently."}],"volume":576,"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734","call_identifier":"FP7"}],"author":[{"full_name":"Virosztek, Daniel","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","first_name":"Daniel","orcid":"0000-0003-1109-5511","last_name":"Virosztek"}],"external_id":{"arxiv":["1712.05324"],"isi":["000470955300005"]},"intvolume":"       576","title":"Jointly convex quantum Jensen divergences","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1712.05324"}],"acknowledgement":"The author was supported by the ISTFELLOW program of the Institute of Science and Technology Austria (project code IC1027FELL01) and partially supported by the Hungarian National Research, Development and Innovation Office – NKFIH (grant no. K124152)","language":[{"iso":"eng"}],"year":"2019","article_processing_charge":"No","publication":"Linear Algebra and Its Applications","scopus_import":"1","date_published":"2019-09-01T00:00:00Z","month":"09","date_updated":"2023-08-24T14:31:47Z","citation":{"mla":"Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” <i>Linear Algebra and Its Applications</i>, vol. 576, Elsevier, 2019, pp. 67–78, doi:<a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">10.1016/j.laa.2018.03.002</a>.","ieee":"D. Virosztek, “Jointly convex quantum Jensen divergences,” <i>Linear Algebra and Its Applications</i>, vol. 576. Elsevier, pp. 67–78, 2019.","ama":"Virosztek D. Jointly convex quantum Jensen divergences. <i>Linear Algebra and Its Applications</i>. 2019;576:67-78. doi:<a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">10.1016/j.laa.2018.03.002</a>","chicago":"Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” <i>Linear Algebra and Its Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">https://doi.org/10.1016/j.laa.2018.03.002</a>.","ista":"Virosztek D. 2019. Jointly convex quantum Jensen divergences. Linear Algebra and Its Applications. 576, 67–78.","short":"D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.","apa":"Virosztek, D. (2019). Jointly convex quantum Jensen divergences. <i>Linear Algebra and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">https://doi.org/10.1016/j.laa.2018.03.002</a>"},"type":"journal_article","oa_version":"Preprint","ec_funded":1,"doi":"10.1016/j.laa.2018.03.002","article_type":"original","publist_id":"7424"},{"issue":"1-2","oa":1,"quality_controlled":"1","department":[{"_id":"LaEr"}],"day":"01","isi":1,"date_created":"2018-12-11T11:46:25Z","status":"public","publisher":"Springer","page":"293–373","file":[{"relation":"main_file","file_id":"5720","date_updated":"2020-07-14T12:46:26Z","creator":"dernst","file_size":1201840,"content_type":"application/pdf","checksum":"f9354fa5c71f9edd17132588f0dc7d01","date_created":"2018-12-17T16:12:08Z","file_name":"2018_ProbTheory_Ajanki.pdf","access_level":"open_access"}],"publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"429","abstract":[{"text":"We consider real symmetric or complex hermitian random matrices with correlated entries. We prove local laws for the resolvent and universality of the local eigenvalue statistics in the bulk of the spectrum. The correlations have fast decay but are otherwise of general form. The key novelty is the detailed stability analysis of the corresponding matrix valued Dyson equation whose solution is the deterministic limit of the resolvent.","lang":"eng"}],"publication_identifier":{"issn":["01788051"],"eissn":["14322064"]},"volume":173,"project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","call_identifier":"FP7"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"external_id":{"isi":["000459396500007"]},"author":[{"first_name":"Oskari H","last_name":"Ajanki","id":"36F2FB7E-F248-11E8-B48F-1D18A9856A87","full_name":"Ajanki, Oskari H"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"Erdös, László"},{"id":"3020C786-F248-11E8-B48F-1D18A9856A87","first_name":"Torben H","orcid":"0000-0002-4821-3297","last_name":"Krüger","full_name":"Krüger, Torben H"}],"title":"Stability of the matrix Dyson equation and random matrices with correlations","intvolume":"       173","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\n","year":"2019","language":[{"iso":"eng"}],"publication":"Probability Theory and Related Fields","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["510"],"date_published":"2019-02-01T00:00:00Z","month":"02","type":"journal_article","citation":{"short":"O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373.","apa":"Ajanki, O. H., Erdös, L., &#38; Krüger, T. H. (2019). Stability of the matrix Dyson equation and random matrices with correlations. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-018-0835-z\">https://doi.org/10.1007/s00440-018-0835-z</a>","chicago":"Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” <i>Probability Theory and Related Fields</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00440-018-0835-z\">https://doi.org/10.1007/s00440-018-0835-z</a>.","ista":"Ajanki OH, Erdös L, Krüger TH. 2019. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 173(1–2), 293–373.","ama":"Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. <i>Probability Theory and Related Fields</i>. 2019;173(1-2):293–373. doi:<a href=\"https://doi.org/10.1007/s00440-018-0835-z\">10.1007/s00440-018-0835-z</a>","mla":"Ajanki, Oskari H., et al. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” <i>Probability Theory and Related Fields</i>, vol. 173, no. 1–2, Springer, 2019, pp. 293–373, doi:<a href=\"https://doi.org/10.1007/s00440-018-0835-z\">10.1007/s00440-018-0835-z</a>.","ieee":"O. H. Ajanki, L. Erdös, and T. H. Krüger, “Stability of the matrix Dyson equation and random matrices with correlations,” <i>Probability Theory and Related Fields</i>, vol. 173, no. 1–2. Springer, pp. 293–373, 2019."},"date_updated":"2023-08-24T14:39:00Z","has_accepted_license":"1","file_date_updated":"2020-07-14T12:46:26Z","oa_version":"Published Version","ec_funded":1,"article_type":"original","doi":"10.1007/s00440-018-0835-z","publist_id":"7394"},{"month":"10","date_published":"2019-10-01T00:00:00Z","scopus_import":"1","type":"journal_article","citation":{"ama":"Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. 2019;21(10):2995-3052. doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>","ieee":"T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of wild character varieties,” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10. European Mathematical Society, pp. 2995–3052, 2019.","mla":"Hausel, Tamás, et al. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10, European Mathematical Society, 2019, pp. 2995–3052, doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>.","apa":"Hausel, T., Mereb, M., &#38; Wong, M. (2019). Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>","short":"T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.","ista":"Hausel T, Mereb M, Wong M. 2019. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 21(10), 2995–3052.","chicago":"Hausel, Tamás, Martin Mereb, and Michael Wong. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2019. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>."},"date_updated":"2023-08-24T14:24:49Z","oa_version":"Preprint","article_type":"original","doi":"10.4171/JEMS/896","publist_id":"7384","ec_funded":1,"main_file_link":[{"url":"https://arxiv.org/abs/1604.03382","open_access":"1"}],"title":"Arithmetic and representation theory of wild character varieties","intvolume":"        21","year":"2019","language":[{"iso":"eng"}],"article_processing_charge":"No","publication":"Journal of the European Mathematical Society","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"text":"We count points over a finite field on wild character varieties,of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the\r\npossibility of a P = W conjecture for a suitable wild Hitchin system.","lang":"eng"}],"_id":"439","project":[{"call_identifier":"FP7","grant_number":"320593","_id":"25E549F4-B435-11E9-9278-68D0E5697425","name":"Arithmetic and physics of Higgs moduli spaces"}],"publication_identifier":{"eissn":["1435-9855"]},"volume":21,"author":[{"last_name":"Hausel","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Hausel, Tamas"},{"last_name":"Mereb","first_name":"Martin","id":"43D735EE-F248-11E8-B48F-1D18A9856A87","full_name":"Mereb, Martin"},{"full_name":"Wong, Michael","last_name":"Wong","first_name":"Michael"}],"external_id":{"isi":["000480413600002"],"arxiv":["1604.03382"]},"quality_controlled":"1","issue":"10","oa":1,"arxiv":1,"day":"01","isi":1,"department":[{"_id":"TaHa"}],"date_created":"2018-12-11T11:46:29Z","status":"public","publisher":"European Mathematical Society","page":"2995-3052"},{"oa":1,"issue":"3","arxiv":1,"quality_controlled":"1","department":[{"_id":"TaHa"}],"day":"15","date_created":"2018-12-11T11:46:29Z","status":"public","publisher":"Springer Nature","page":"909–928","publication_status":"published","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","_id":"441","publication_identifier":{"eissn":["2199-6768"],"issn":["2199-675X"]},"volume":5,"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","grant_number":"291734"}],"external_id":{"arxiv":["1711.02089"]},"author":[{"full_name":"Kalinin, Nikita","last_name":"Kalinin","first_name":"Nikita"},{"first_name":"Mikhail","orcid":"0000-0002-4310-178X","last_name":"Shkolnikov","id":"35084A62-F248-11E8-B48F-1D18A9856A87","full_name":"Shkolnikov, Mikhail"}],"title":"Tropical formulae for summation over a part of SL(2,Z)","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1711.02089"}],"intvolume":"         5","year":"2019","language":[{"iso":"eng"}],"article_processing_charge":"No","publication":"European Journal of Mathematics","scopus_import":1,"date_published":"2019-09-15T00:00:00Z","month":"09","type":"journal_article","date_updated":"2021-01-12T07:56:46Z","citation":{"mla":"Kalinin, Nikita, and Mikhail Shkolnikov. “Tropical Formulae for Summation over a Part of SL(2,Z).” <i>European Journal of Mathematics</i>, vol. 5, no. 3, Springer Nature, 2019, pp. 909–928, doi:<a href=\"https://doi.org/10.1007/s40879-018-0218-0\">10.1007/s40879-018-0218-0</a>.","ieee":"N. Kalinin and M. Shkolnikov, “Tropical formulae for summation over a part of SL(2,Z),” <i>European Journal of Mathematics</i>, vol. 5, no. 3. Springer Nature, pp. 909–928, 2019.","ama":"Kalinin N, Shkolnikov M. Tropical formulae for summation over a part of SL(2,Z). <i>European Journal of Mathematics</i>. 2019;5(3):909–928. doi:<a href=\"https://doi.org/10.1007/s40879-018-0218-0\">10.1007/s40879-018-0218-0</a>","chicago":"Kalinin, Nikita, and Mikhail Shkolnikov. “Tropical Formulae for Summation over a Part of SL(2,Z).” <i>European Journal of Mathematics</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s40879-018-0218-0\">https://doi.org/10.1007/s40879-018-0218-0</a>.","ista":"Kalinin N, Shkolnikov M. 2019. Tropical formulae for summation over a part of SL(2,Z). European Journal of Mathematics. 5(3), 909–928.","short":"N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.","apa":"Kalinin, N., &#38; Shkolnikov, M. (2019). Tropical formulae for summation over a part of SL(2,Z). <i>European Journal of Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40879-018-0218-0\">https://doi.org/10.1007/s40879-018-0218-0</a>"},"oa_version":"Preprint","ec_funded":1,"doi":"10.1007/s40879-018-0218-0","article_type":"original","publist_id":"7382"}]
