[{"acknowledgement":"Open access funding provided by the Institute of Science and Technology (IST Austria).","language":[{"iso":"eng"}],"doi":"10.1007/s00454-023-00500-5","has_accepted_license":"1","department":[{"_id":"UlWa"}],"day":"05","type":"journal_article","date_updated":"2024-01-29T11:16:16Z","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","arxiv":1,"publication_identifier":{"issn":["0179-5376"],"eissn":["1432-0444"]},"scopus_import":"1","page":"1059-1089","date_published":"2023-07-05T00:00:00Z","file":[{"date_updated":"2024-01-29T11:15:22Z","file_id":"14897","success":1,"access_level":"open_access","file_name":"2023_DiscreteComputGeometry_Brunck.pdf","checksum":"865e68daafdd4edcfc280172ec50f5ea","date_created":"2024-01-29T11:15:22Z","relation":"main_file","creator":"dernst","content_type":"application/pdf","file_size":1466020}],"external_id":{"isi":["001023742800003"],"arxiv":["2107.04112"]},"publication_status":"published","abstract":[{"lang":"eng","text":"Consider a geodesic triangle on a surface of constant curvature and subdivide it recursively into four triangles by joining the midpoints of its edges. We show the existence of a uniform δ>0\r\n such that, at any step of the subdivision, all the triangle angles lie in the interval (δ,π−δ)\r\n. Additionally, we exhibit stabilising behaviours for both angles and lengths as this subdivision progresses."}],"oa":1,"ddc":["510"],"_id":"13270","publication":"Discrete and Computational Geometry","title":"Iterated medial triangle subdivision in surfaces of constant curvature","year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"quality_controlled":"1","author":[{"first_name":"Florestan R","last_name":"Brunck","full_name":"Brunck, Florestan R","id":"6ab6e556-f394-11eb-9cf6-9dfb78f00d8d"}],"citation":{"apa":"Brunck, F. R. (2023). Iterated medial triangle subdivision in surfaces of constant curvature. <i>Discrete and Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-023-00500-5\">https://doi.org/10.1007/s00454-023-00500-5</a>","mla":"Brunck, Florestan R. “Iterated Medial Triangle Subdivision in Surfaces of Constant Curvature.” <i>Discrete and Computational Geometry</i>, vol. 70, no. 3, Springer Nature, 2023, pp. 1059–89, doi:<a href=\"https://doi.org/10.1007/s00454-023-00500-5\">10.1007/s00454-023-00500-5</a>.","ieee":"F. R. Brunck, “Iterated medial triangle subdivision in surfaces of constant curvature,” <i>Discrete and Computational Geometry</i>, vol. 70, no. 3. Springer Nature, pp. 1059–1089, 2023.","ama":"Brunck FR. Iterated medial triangle subdivision in surfaces of constant curvature. <i>Discrete and Computational Geometry</i>. 2023;70(3):1059-1089. doi:<a href=\"https://doi.org/10.1007/s00454-023-00500-5\">10.1007/s00454-023-00500-5</a>","ista":"Brunck FR. 2023. Iterated medial triangle subdivision in surfaces of constant curvature. Discrete and Computational Geometry. 70(3), 1059–1089.","chicago":"Brunck, Florestan R. “Iterated Medial Triangle Subdivision in Surfaces of Constant Curvature.” <i>Discrete and Computational Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00454-023-00500-5\">https://doi.org/10.1007/s00454-023-00500-5</a>.","short":"F.R. Brunck, Discrete and Computational Geometry 70 (2023) 1059–1089."},"status":"public","date_created":"2023-07-23T22:01:14Z","month":"07","isi":1,"intvolume":"        70","article_type":"original","publisher":"Springer Nature","file_date_updated":"2024-01-29T11:15:22Z","volume":70,"issue":"3"},{"publication":"Annales Henri Poincare","title":"Some convexity and monotonicity results of trace functionals","_id":"13271","oa":1,"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"M03337","name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"}],"abstract":[{"lang":"eng","text":"In this paper, we prove the convexity of trace functionals (A,B,C)↦Tr|BpACq|s,\r\nfor parameters (p, q, s) that are best possible, where B and C are any n-by-n positive-definite matrices, and A is any n-by-n matrix. We also obtain the monotonicity versions of trace functionals of this type. As applications, we extend some results in Carlen et al. (Linear Algebra Appl 490:174–185, 2016), Hiai and Petz (Publ Res Inst Math Sci 48(3):525-542, 2012) and resolve a conjecture in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) in the matrix setting. Other conjectures in Al-Rashed and Zegarliński (Infin Dimens Anal Quantum Probab Relat Top 17(4):1450029, 2014) will also be discussed. We also show that some related trace functionals are not concave in general. Such concavity results were expected to hold in different problems."}],"publication_status":"epub_ahead","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2108.05785","open_access":"1"}],"citation":{"apa":"Zhang, H. (2023). Some convexity and monotonicity results of trace functionals. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-023-01345-7\">https://doi.org/10.1007/s00023-023-01345-7</a>","mla":"Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” <i>Annales Henri Poincare</i>, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s00023-023-01345-7\">10.1007/s00023-023-01345-7</a>.","short":"H. Zhang, Annales Henri Poincare (2023).","chicago":"Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.” <i>Annales Henri Poincare</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00023-023-01345-7\">https://doi.org/10.1007/s00023-023-01345-7</a>.","ista":"Zhang H. 2023. Some convexity and monotonicity results of trace functionals. Annales Henri Poincare.","ieee":"H. Zhang, “Some convexity and monotonicity results of trace functionals,” <i>Annales Henri Poincare</i>. Springer Nature, 2023.","ama":"Zhang H. Some convexity and monotonicity results of trace functionals. <i>Annales Henri Poincare</i>. 2023. doi:<a href=\"https://doi.org/10.1007/s00023-023-01345-7\">10.1007/s00023-023-01345-7</a>"},"quality_controlled":"1","author":[{"full_name":"Zhang, Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","last_name":"Zhang","first_name":"Haonan"}],"year":"2023","isi":1,"month":"07","date_created":"2023-07-23T22:01:15Z","status":"public","article_type":"original","publisher":"Springer Nature","ec_funded":1,"department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00023-023-01345-7","acknowledgement":"I am grateful to Boguslaw Zegarliński for asking me the questions in [3] and for helpful communication. I also want to thank Paata Ivanisvili for drawing [25] to my attention and for useful correspondence. Many thanks to the anonymous referee for the valuable comments and for pointing out some errors in an earlier version of the paper. This work is partially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411 and the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337.","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","type":"journal_article","date_updated":"2023-12-13T11:33:46Z","day":"08","scopus_import":"1","publication_identifier":{"issn":["1424-0637"]},"arxiv":1,"external_id":{"arxiv":["2108.05785"],"isi":["001025709100001"]},"date_published":"2023-07-08T00:00:00Z"},{"arxiv":1,"publication_identifier":{"issn":["0031-9007"],"eissn":["1079-7114"]},"external_id":{"arxiv":["2306.05098"],"isi":["001052929900004"]},"keyword":["General Physics and Astronomy"],"date_published":"2023-07-21T00:00:00Z","acknowledgement":"We thank Baofang Song as well as the developers of Channelflow for sharing their numerical codes, and Mukund Vasudevan and Holger Kantz for fruitful discussions. This work was supported by a grant from the Simons Foundation (662960, B. H.).","department":[{"_id":"GradSch"},{"_id":"BjHo"}],"doi":"10.1103/physrevlett.131.034002","language":[{"iso":"eng"}],"oa_version":"Preprint","type":"journal_article","date_updated":"2023-12-13T11:40:19Z","day":"21","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"07","date_created":"2023-07-24T09:43:59Z","article_number":"034002","status":"public","intvolume":"       131","isi":1,"publisher":"American Physical Society","article_type":"original","issue":"3","volume":131,"project":[{"_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","name":"Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental Studies on Transitional and Turbulent Flows","grant_number":"662960"}],"abstract":[{"text":"Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to high-dimensional motion can be rationalized within the framework of the Navier-Stokes equations is not well understood. Exploiting geometrical properties of transitional channel flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible and identify the complete path that reversibly links fully turbulent motion to an invariant solution. This precursor of turbulence destabilizes rapidly with Re, and the accompanying explosive increase in attractor dimension effectively marks the transition between deterministic and de facto stochastic dynamics.","lang":"eng"}],"publication_status":"published","publication":"Physical Review Letters","title":"Direct path from turbulence to time-periodic solutions","_id":"13274","oa":1,"year":"2023","citation":{"chicago":"Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur, and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” <i>Physical Review Letters</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/physrevlett.131.034002\">https://doi.org/10.1103/physrevlett.131.034002</a>.","short":"C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review Letters 131 (2023).","ista":"Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. 2023. Direct path from turbulence to time-periodic solutions. Physical Review Letters. 131(3), 034002.","ieee":"C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct path from turbulence to time-periodic solutions,” <i>Physical Review Letters</i>, vol. 131, no. 3. American Physical Society, 2023.","ama":"Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. Direct path from turbulence to time-periodic solutions. <i>Physical Review Letters</i>. 2023;131(3). doi:<a href=\"https://doi.org/10.1103/physrevlett.131.034002\">10.1103/physrevlett.131.034002</a>","mla":"Paranjape, Chaitanya S., et al. “Direct Path from Turbulence to Time-Periodic Solutions.” <i>Physical Review Letters</i>, vol. 131, no. 3, 034002, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/physrevlett.131.034002\">10.1103/physrevlett.131.034002</a>.","apa":"Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., &#38; Hof, B. (2023). Direct path from turbulence to time-periodic solutions. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevlett.131.034002\">https://doi.org/10.1103/physrevlett.131.034002</a>"},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.05098","open_access":"1"}],"author":[{"id":"3D85B7C4-F248-11E8-B48F-1D18A9856A87","full_name":"Paranjape, Chaitanya S","last_name":"Paranjape","first_name":"Chaitanya S"},{"id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","full_name":"Yalniz, Gökhan","orcid":"0000-0002-8490-9312","first_name":"Gökhan","last_name":"Yalniz"},{"last_name":"Duguet","first_name":"Yohann","full_name":"Duguet, Yohann"},{"first_name":"Nazmi B","last_name":"Budanur","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","full_name":"Budanur, Nazmi B","orcid":"0000-0003-0423-5010"},{"last_name":"Hof","first_name":"Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2057-2754","full_name":"Hof, Björn"}],"quality_controlled":"1"},{"oa_version":"Published Version","type":"research_data_reference","date_updated":"2023-07-31T09:16:02Z","year":"2023","day":"19","citation":{"short":"L. Rammelmüller, D. Huber, A. Volosniev, (2023).","chicago":"Rammelmüller, Lukas, David Huber, and Artem Volosniev. “Codebase Release 1.0 for FermiFCI.” SciPost Foundation, 2023. <a href=\"https://doi.org/10.21468/scipostphyscodeb.12-r1.0\">https://doi.org/10.21468/scipostphyscodeb.12-r1.0</a>.","ista":"Rammelmüller L, Huber D, Volosniev A. 2023. Codebase release 1.0 for FermiFCI, SciPost Foundation, <a href=\"https://doi.org/10.21468/scipostphyscodeb.12-r1.0\">10.21468/scipostphyscodeb.12-r1.0</a>.","ieee":"L. Rammelmüller, D. Huber, and A. Volosniev, “Codebase release 1.0 for FermiFCI.” SciPost Foundation, 2023.","ama":"Rammelmüller L, Huber D, Volosniev A. Codebase release 1.0 for FermiFCI. 2023. doi:<a href=\"https://doi.org/10.21468/scipostphyscodeb.12-r1.0\">10.21468/scipostphyscodeb.12-r1.0</a>","mla":"Rammelmüller, Lukas, et al. <i>Codebase Release 1.0 for FermiFCI</i>. SciPost Foundation, 2023, doi:<a href=\"https://doi.org/10.21468/scipostphyscodeb.12-r1.0\">10.21468/scipostphyscodeb.12-r1.0</a>.","apa":"Rammelmüller, L., Huber, D., &#38; Volosniev, A. (2023). Codebase release 1.0 for FermiFCI. SciPost Foundation. <a href=\"https://doi.org/10.21468/scipostphyscodeb.12-r1.0\">https://doi.org/10.21468/scipostphyscodeb.12-r1.0</a>"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.21468/SciPostPhysCodeb.12-r1.0"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","author":[{"first_name":"Lukas","last_name":"Rammelmüller","full_name":"Rammelmüller, Lukas"},{"full_name":"Huber, David","first_name":"David","last_name":"Huber"},{"first_name":"Artem","last_name":"Volosniev","full_name":"Volosniev, Artem","orcid":"0000-0003-0393-5525","id":"37D278BC-F248-11E8-B48F-1D18A9856A87"}],"project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel optimizations and approximations. This userguide consists of a description of the algorithm, and several examples in varying orders of sophistication. In particular, we exemplify our routine using an effective-interaction approach that fixes the low-energy physics. We benchmark this approach against the existing data, and show that it is able to deliver state-of-the-art numerical results at a significantly reduced computational cost.","lang":"eng"}],"title":"Codebase release 1.0 for FermiFCI","ec_funded":1,"department":[{"_id":"MiLe"}],"_id":"13275","oa":1,"ddc":["530"],"doi":"10.21468/scipostphyscodeb.12-r1.0","related_material":{"record":[{"id":"13276","relation":"used_in_publication","status":"public"}]},"publisher":"SciPost Foundation","date_published":"2023-04-19T00:00:00Z","month":"04","date_created":"2023-07-24T10:46:23Z","status":"public"},{"acknowledgement":"We acknowledge fruitful discussions with Hans-Werner Hammer and thank Gerhard Zürn and\r\nPietro Massignan for sending us their data. We thank Fabian Brauneis for beta-testing the\r\nprovided code-package, and comments on the manuscript.\r\nL.R. is supported by FP7/ERC Consolidator Grant QSIMCORR, No.\r\n771891, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under\r\nGermany’s Excellence Strategy –EXC–2111–390814868. A.G.V. acknowledges support\r\nby European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.","doi":"10.21468/scipostphyscodeb.12","language":[{"iso":"eng"}],"has_accepted_license":"1","department":[{"_id":"MiLe"}],"ec_funded":1,"day":"19","type":"journal_article","date_updated":"2023-07-31T09:16:02Z","oa_version":"Published Version","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"publication_identifier":{"issn":["2949-804X"]},"date_published":"2023-04-19T00:00:00Z","file":[{"file_size":551418,"creator":"dernst","content_type":"application/pdf","relation":"main_file","date_created":"2023-07-31T09:09:23Z","checksum":"f583a70fe915d2208c803f5afb426daa","file_name":"2023_SciPostPhysCodebase_Rammelmueller.pdf","access_level":"open_access","success":1,"file_id":"13330","date_updated":"2023-07-31T09:09:23Z"}],"external_id":{"arxiv":["2202.04603"]},"publication_status":"published","abstract":[{"text":"<jats:p>We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel optimizations and approximations. This userguide consists of a description of the algorithm, and several examples in varying orders of sophistication. In particular, we exemplify our routine using an effective-interaction approach that fixes the low-energy physics. We benchmark this approach against the existing data, and show that it is able to deliver state-of-the-art numerical results at a significantly reduced computational cost.</jats:p>","lang":"eng"}],"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa":1,"related_material":{"record":[{"status":"public","relation":"research_data","id":"13275"}]},"ddc":["530"],"_id":"13276","publication":"SciPost Physics Codebases","title":"A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D","year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"author":[{"first_name":"Lukas","last_name":"Rammelmüller","full_name":"Rammelmüller, Lukas"},{"full_name":"Huber, David","first_name":"David","last_name":"Huber"},{"id":"37D278BC-F248-11E8-B48F-1D18A9856A87","full_name":"Volosniev, Artem","orcid":"0000-0003-0393-5525","first_name":"Artem","last_name":"Volosniev"}],"quality_controlled":"1","citation":{"ieee":"L. Rammelmüller, D. Huber, and A. Volosniev, “A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D,” <i>SciPost Physics Codebases</i>. SciPost Foundation, 2023.","ama":"Rammelmüller L, Huber D, Volosniev A. A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. <i>SciPost Physics Codebases</i>. 2023. doi:<a href=\"https://doi.org/10.21468/scipostphyscodeb.12\">10.21468/scipostphyscodeb.12</a>","chicago":"Rammelmüller, Lukas, David Huber, and Artem Volosniev. “A Modular Implementation of an Effective Interaction Approach for Harmonically Trapped Fermions in 1D.” <i>SciPost Physics Codebases</i>. SciPost Foundation, 2023. <a href=\"https://doi.org/10.21468/scipostphyscodeb.12\">https://doi.org/10.21468/scipostphyscodeb.12</a>.","short":"L. Rammelmüller, D. Huber, A. Volosniev, SciPost Physics Codebases (2023).","ista":"Rammelmüller L, Huber D, Volosniev A. 2023. A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. SciPost Physics Codebases., 12.","apa":"Rammelmüller, L., Huber, D., &#38; Volosniev, A. (2023). A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D. <i>SciPost Physics Codebases</i>. SciPost Foundation. <a href=\"https://doi.org/10.21468/scipostphyscodeb.12\">https://doi.org/10.21468/scipostphyscodeb.12</a>","mla":"Rammelmüller, Lukas, et al. “A Modular Implementation of an Effective Interaction Approach for Harmonically Trapped Fermions in 1D.” <i>SciPost Physics Codebases</i>, 12, SciPost Foundation, 2023, doi:<a href=\"https://doi.org/10.21468/scipostphyscodeb.12\">10.21468/scipostphyscodeb.12</a>."},"status":"public","article_number":"12","date_created":"2023-07-24T10:47:15Z","month":"04","article_type":"original","publisher":"SciPost Foundation","file_date_updated":"2023-07-31T09:09:23Z"},{"date_updated":"2023-07-31T09:03:28Z","type":"journal_article","oa_version":"Published Version","day":"14","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","acknowledgement":"S. De Nicola acknowledges funding from the Institute of Science and Technology Austria (ISTA), and from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 754411. S. De Nicola also acknowledges funding from the EPSRC Center for Doctoral Training in Cross-Disciplinary Approaches to NonEquilibrium Systems (CANES) under Grant EP/L015854/1. ","ec_funded":1,"doi":"10.21468/scipostphyscore.6.2.029","language":[{"iso":"eng"}],"has_accepted_license":"1","department":[{"_id":"MaSe"}],"date_published":"2023-04-14T00:00:00Z","file":[{"file_size":523236,"creator":"dernst","content_type":"application/pdf","relation":"main_file","date_created":"2023-07-31T09:02:27Z","checksum":"b472bc82108747eda5d52adf9e2ac7f3","file_name":"2023_SciPostPhysCore_Tucci.pdf","access_level":"open_access","success":1,"file_id":"13329","date_updated":"2023-07-31T09:02:27Z"}],"external_id":{"arxiv":["2211.01923"]},"keyword":["Statistical and Nonlinear Physics","Atomic and Molecular Physics","and Optics","Nuclear and High Energy Physics","Condensed Matter Physics"],"arxiv":1,"publication_identifier":{"issn":["2666-9366"]},"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2023","citation":{"ieee":"G. Tucci, S. De Nicola, S. Wald, and A. Gambassi, “Stochastic representation of the quantum quartic oscillator,” <i>SciPost Physics Core</i>, vol. 6, no. 2. SciPost Foundation, 2023.","ama":"Tucci G, De Nicola S, Wald S, Gambassi A. Stochastic representation of the quantum quartic oscillator. <i>SciPost Physics Core</i>. 2023;6(2). doi:<a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">10.21468/scipostphyscore.6.2.029</a>","chicago":"Tucci, Gennaro, Stefano De Nicola, Sascha Wald, and Andrea Gambassi. “Stochastic Representation of the Quantum Quartic Oscillator.” <i>SciPost Physics Core</i>. SciPost Foundation, 2023. <a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">https://doi.org/10.21468/scipostphyscore.6.2.029</a>.","short":"G. Tucci, S. De Nicola, S. Wald, A. Gambassi, SciPost Physics Core 6 (2023).","ista":"Tucci G, De Nicola S, Wald S, Gambassi A. 2023. Stochastic representation of the quantum quartic oscillator. SciPost Physics Core. 6(2), 029.","mla":"Tucci, Gennaro, et al. “Stochastic Representation of the Quantum Quartic Oscillator.” <i>SciPost Physics Core</i>, vol. 6, no. 2, 029, SciPost Foundation, 2023, doi:<a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">10.21468/scipostphyscore.6.2.029</a>.","apa":"Tucci, G., De Nicola, S., Wald, S., &#38; Gambassi, A. (2023). Stochastic representation of the quantum quartic oscillator. <i>SciPost Physics Core</i>. SciPost Foundation. <a href=\"https://doi.org/10.21468/scipostphyscore.6.2.029\">https://doi.org/10.21468/scipostphyscore.6.2.029</a>"},"author":[{"last_name":"Tucci","first_name":"Gennaro","full_name":"Tucci, Gennaro"},{"orcid":"0000-0002-4842-6671","full_name":"De Nicola, Stefano","id":"42832B76-F248-11E8-B48F-1D18A9856A87","last_name":"De Nicola","first_name":"Stefano"},{"full_name":"Wald, Sascha","first_name":"Sascha","last_name":"Wald"},{"first_name":"Andrea","last_name":"Gambassi","full_name":"Gambassi, Andrea"}],"quality_controlled":"1","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"publication_status":"published","abstract":[{"text":"Recent experimental advances have inspired the development of theoretical tools to describe the non-equilibrium dynamics of quantum systems. Among them an exact representation of quantum spin systems in terms of classical stochastic processes has been proposed. Here we provide first steps towards the extension of this stochastic approach to bosonic systems by considering the one-dimensional quantum quartic oscillator. We show how to exactly parameterize the time evolution of this prototypical model via the dynamics of a set of classical variables. We interpret these variables as stochastic processes, which allows us to propose a novel way to numerically simulate the time evolution of the system. We benchmark our findings by considering analytically solvable limits and providing alternative derivations of known results.","lang":"eng"}],"publication":"SciPost Physics Core","title":"Stochastic representation of the quantum quartic oscillator","oa":1,"ddc":["530"],"_id":"13277","file_date_updated":"2023-07-31T09:02:27Z","publisher":"SciPost Foundation","article_type":"original","issue":"2","volume":6,"date_created":"2023-07-24T10:47:46Z","month":"04","article_number":"029","status":"public","intvolume":"         6"},{"keyword":["General Physics and Astronomy"],"external_id":{"arxiv":["2204.01606"],"isi":["001000325800008"]},"file":[{"relation":"main_file","date_created":"2023-07-31T08:44:38Z","file_size":1163444,"creator":"dernst","content_type":"application/pdf","success":1,"date_updated":"2023-07-31T08:44:38Z","file_id":"13328","checksum":"ffdb70b9ae7aa45ea4ea6096ecbd6431","file_name":"2023_SciPostPhysics_Rammelmueller.pdf","access_level":"open_access"}],"date_published":"2023-01-24T00:00:00Z","scopus_import":"1","publication_identifier":{"issn":["2542-4653"]},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","day":"24","oa_version":"Published Version","type":"journal_article","date_updated":"2023-12-13T11:39:32Z","department":[{"_id":"MiLe"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"doi":"10.21468/scipostphys.14.1.006","volume":14,"issue":"1","publisher":"SciPost Foundation","article_type":"original","file_date_updated":"2023-07-31T08:44:38Z","isi":1,"intvolume":"        14","status":"public","article_number":"006","month":"01","date_created":"2023-07-24T10:48:23Z","author":[{"first_name":"Lukas","last_name":"Rammelmüller","full_name":"Rammelmüller, Lukas"},{"first_name":"David","last_name":"Huber","full_name":"Huber, David"},{"full_name":"Čufar, Matija","last_name":"Čufar","first_name":"Matija"},{"full_name":"Brand, Joachim","last_name":"Brand","first_name":"Joachim"},{"full_name":"Hammer, Hans-Werner","last_name":"Hammer","first_name":"Hans-Werner"},{"id":"37D278BC-F248-11E8-B48F-1D18A9856A87","full_name":"Volosniev, Artem","orcid":"0000-0003-0393-5525","last_name":"Volosniev","first_name":"Artem"}],"quality_controlled":"1","citation":{"ieee":"L. Rammelmüller, D. Huber, M. Čufar, J. Brand, H.-W. Hammer, and A. Volosniev, “Magnetic impurity in a one-dimensional few-fermion system,” <i>SciPost Physics</i>, vol. 14, no. 1. SciPost Foundation, 2023.","ama":"Rammelmüller L, Huber D, Čufar M, Brand J, Hammer H-W, Volosniev A. Magnetic impurity in a one-dimensional few-fermion system. <i>SciPost Physics</i>. 2023;14(1). doi:<a href=\"https://doi.org/10.21468/scipostphys.14.1.006\">10.21468/scipostphys.14.1.006</a>","chicago":"Rammelmüller, Lukas, David Huber, Matija Čufar, Joachim Brand, Hans-Werner Hammer, and Artem Volosniev. “Magnetic Impurity in a One-Dimensional Few-Fermion System.” <i>SciPost Physics</i>. SciPost Foundation, 2023. <a href=\"https://doi.org/10.21468/scipostphys.14.1.006\">https://doi.org/10.21468/scipostphys.14.1.006</a>.","short":"L. Rammelmüller, D. Huber, M. Čufar, J. Brand, H.-W. Hammer, A. Volosniev, SciPost Physics 14 (2023).","ista":"Rammelmüller L, Huber D, Čufar M, Brand J, Hammer H-W, Volosniev A. 2023. Magnetic impurity in a one-dimensional few-fermion system. SciPost Physics. 14(1), 006.","apa":"Rammelmüller, L., Huber, D., Čufar, M., Brand, J., Hammer, H.-W., &#38; Volosniev, A. (2023). Magnetic impurity in a one-dimensional few-fermion system. <i>SciPost Physics</i>. SciPost Foundation. <a href=\"https://doi.org/10.21468/scipostphys.14.1.006\">https://doi.org/10.21468/scipostphys.14.1.006</a>","mla":"Rammelmüller, Lukas, et al. “Magnetic Impurity in a One-Dimensional Few-Fermion System.” <i>SciPost Physics</i>, vol. 14, no. 1, 006, SciPost Foundation, 2023, doi:<a href=\"https://doi.org/10.21468/scipostphys.14.1.006\">10.21468/scipostphys.14.1.006</a>."},"year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"_id":"13278","ddc":["530"],"oa":1,"title":"Magnetic impurity in a one-dimensional few-fermion system","publication":"SciPost Physics","abstract":[{"text":"We present a numerical analysis of spin-1/2 fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic impurity in the vicinity of an s-wave superconductor. Already for a few particles we find a ground-state level crossing between sectors with different fermion parities. We interpret this crossing as a few-body precursor of a quantum phase transition, which occurs when the impurity \"breaks\" a Cooper pair. This picture is further corroborated by analyzing density-density correlations in momentum space. Finally, we discuss how the system may be realized with existing cold-atoms platforms.","lang":"eng"}],"publication_status":"published"},{"ec_funded":1,"acknowledged_ssus":[{"_id":"NanoFab"},{"_id":"M-Shop"}],"doi":"10.15479/at:ista:13286","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","language":[{"iso":"eng"}],"has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"GeKa"}],"article_processing_charge":"No","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","type":"dissertation","date_updated":"2024-02-21T12:35:34Z","oa_version":"Published Version","day":"21","supervisor":[{"first_name":"Georgios","last_name":"Katsaros","id":"38DB5788-F248-11E8-B48F-1D18A9856A87","full_name":"Katsaros, Georgios","orcid":"0000-0001-8342-202X"}],"alternative_title":["ISTA Thesis"],"publication_identifier":{"issn":["2663 - 337X"]},"date_published":"2023-07-21T00:00:00Z","file":[{"relation":"source_file","date_created":"2023-08-11T09:27:39Z","content_type":"application/x-zip-compressed","creator":"mvalenti","file_size":56121429,"date_updated":"2023-08-11T10:01:34Z","file_id":"14033","checksum":"666ee31c7eade89679806287c062fa14","file_name":"PhD_thesis_Valentini_final.zip","access_level":"closed"},{"file_id":"14035","date_updated":"2023-08-11T14:39:17Z","checksum":"0992f2ebef152dee8e70055350ebbb55","file_name":"PhD_thesis_Valentini_final_validated.pdf","access_level":"open_access","relation":"main_file","date_created":"2023-08-11T14:39:17Z","creator":"mvalenti","content_type":"application/pdf","file_size":38199711}],"page":"184","title":"Mesoscopic phenomena in hybrid semiconductor-superconductor nanodevices : From full-shell nanowires to two-dimensional hole gas in germanium","oa":1,"related_material":{"record":[{"id":"13312","relation":"part_of_dissertation","status":"public"},{"id":"12118","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"8910"},{"status":"public","relation":"research_data","id":"12522"}]},"ddc":["530"],"_id":"13286","project":[{"_id":"262116AA-B435-11E9-9278-68D0E5697425","name":"Hybrid Semiconductor - Superconductor Quantum Devices"},{"call_identifier":"H2020","_id":"237E5020-32DE-11EA-91FC-C7463DDC885E","name":"TOPOLOGICALLY PROTECTED AND SCALABLE QUANTUM BITS","grant_number":"862046"},{"_id":"34a66131-11ca-11ed-8bc3-a31681c6b03e","name":"Conventional and unconventional topological superconductors","grant_number":"F8606"}],"publication_status":"published","abstract":[{"lang":"eng","text":"Semiconductor-superconductor hybrid systems are the harbour of many intriguing mesoscopic phenomena. This material combination leads to spatial variations of the superconducting properties, which gives rise to Andreev bound states (ABSs). Some of these states might exhibit remarkable properties that render them highly desirable for topological quantum computing. The most prominent and hunted of such states are Majorana zero modes (MZMs), quasiparticles equals to their own quasiparticles that they follow non-abelian statistics. In this thesis, we first introduce the general framework of such hybrid systems and, then, we unveil a series of mesoscopic phenomena that we discovered. Firstly, we show tunneling spectroscopy experiments on full-shell nanowires (NWs) showing that unwanted quantum-dot states coupled to superconductors (Yu-Shiba-Rusinov states) can mimic MZMs signatures. Then, we introduce a novel protocol which allowed the integration of tunneling spectroscopy with Coulomb spectroscopy within the same device. Employing this approach on both full-shell NWs and partial-shell NWs, we demonstrated that longitudinally confined states reveal charge transport phenomenology similar to the one expected for MZMs. These findings shed light on the intricate interplay between superconductivity and quantum confinement, which brought us to explore another material platform, i.e. a two-dimensional Germanium hole gas. After developing a robust way to induce superconductivity in such system, we showed how to engineer the proximity effect and we revealed a superconducting hard gap. Finally, we created a superconducting radio frequency driven ideal diode and a generator of non-sinusoidal current-phase relations. Our results open the path for the exploration of protected superconducting qubits and more complex hybrid devices in planar Germanium, like Kitaev chains and hybrid qubit devices."}],"citation":{"ista":"Valentini M. 2023. Mesoscopic phenomena in hybrid semiconductor-superconductor nanodevices : From full-shell nanowires to two-dimensional hole gas in germanium. Institute of Science and Technology Austria.","chicago":"Valentini, Marco. “Mesoscopic Phenomena in Hybrid Semiconductor-Superconductor Nanodevices : From Full-Shell Nanowires to Two-Dimensional Hole Gas in Germanium.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:13286\">https://doi.org/10.15479/at:ista:13286</a>.","short":"M. Valentini, Mesoscopic Phenomena in Hybrid Semiconductor-Superconductor Nanodevices : From Full-Shell Nanowires to Two-Dimensional Hole Gas in Germanium, Institute of Science and Technology Austria, 2023.","ieee":"M. Valentini, “Mesoscopic phenomena in hybrid semiconductor-superconductor nanodevices : From full-shell nanowires to two-dimensional hole gas in germanium,” Institute of Science and Technology Austria, 2023.","ama":"Valentini M. Mesoscopic phenomena in hybrid semiconductor-superconductor nanodevices : From full-shell nanowires to two-dimensional hole gas in germanium. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:13286\">10.15479/at:ista:13286</a>","mla":"Valentini, Marco. <i>Mesoscopic Phenomena in Hybrid Semiconductor-Superconductor Nanodevices : From Full-Shell Nanowires to Two-Dimensional Hole Gas in Germanium</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:13286\">10.15479/at:ista:13286</a>.","apa":"Valentini, M. (2023). <i>Mesoscopic phenomena in hybrid semiconductor-superconductor nanodevices : From full-shell nanowires to two-dimensional hole gas in germanium</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:13286\">https://doi.org/10.15479/at:ista:13286</a>"},"author":[{"last_name":"Valentini","first_name":"Marco","id":"C0BB2FAC-D767-11E9-B658-BC13E6697425","full_name":"Valentini, Marco"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png"},"year":"2023","degree_awarded":"PhD","date_created":"2023-07-24T14:10:45Z","month":"07","status":"public","file_date_updated":"2023-08-11T14:39:17Z","publisher":"Institute of Science and Technology Austria"},{"intvolume":"       261","status":"public","date_created":"2023-07-24T15:11:41Z","month":"07","conference":{"location":"Paderborn, Germany","start_date":"2023-07-10","end_date":"2023-07-14","name":"ICALP: International Colloquium on Automata, Languages, and Programming"},"volume":261,"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","file_date_updated":"2023-07-24T15:11:05Z","oa":1,"ddc":["000"],"_id":"13292","title":"Regular methods for operator precedence languages","publication":"50th International Colloquium on Automata, Languages, and Programming","publication_status":"published","abstract":[{"text":"The operator precedence languages (OPLs) represent the largest known subclass of the context-free languages which enjoys all desirable closure and decidability properties. This includes the decidability of language inclusion, which is the ultimate verification problem. Operator precedence grammars, automata, and logics have been investigated and used, for example, to verify programs with arithmetic expressions and exceptions (both of which are deterministic pushdown but lie outside the scope of the visibly pushdown languages). In this paper, we complete the picture and give, for the first time, an algebraic characterization of the class of OPLs in the form of a syntactic congruence that has finitely many equivalence classes exactly for the operator precedence languages. This is a generalization of the celebrated Myhill-Nerode theorem for the regular languages to OPLs. As one of the consequences, we show that universality and language inclusion for nondeterministic operator precedence automata can be solved by an antichain algorithm. Antichain algorithms avoid determinization and complementation through an explicit subset construction, by leveraging a quasi-order on words, which allows the pruning of the search space for counterexample words without sacrificing completeness. Antichain algorithms can be implemented symbolically, and these implementations are today the best-performing algorithms in practice for the inclusion of finite automata. We give a generic construction of the quasi-order needed for antichain algorithms from a finite syntactic congruence. This yields the first antichain algorithm for OPLs, an algorithm that solves the ExpTime-hard language inclusion problem for OPLs in exponential time.","lang":"eng"}],"project":[{"grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software","call_identifier":"H2020","_id":"62781420-2b32-11ec-9570-8d9b63373d4d"}],"quality_controlled":"1","author":[{"last_name":"Henzinger","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","orcid":"0000-0002-2985-7724"},{"first_name":"Pavol","last_name":"Kebis","full_name":"Kebis, Pavol"},{"id":"b26baa86-3308-11ec-87b0-8990f34baa85","full_name":"Mazzocchi, Nicolas Adrien","first_name":"Nicolas Adrien","last_name":"Mazzocchi"},{"full_name":"Sarac, Naci E","id":"8C6B42F8-C8E6-11E9-A03A-F2DCE5697425","first_name":"Naci E","last_name":"Sarac"}],"citation":{"apa":"Henzinger, T. A., Kebis, P., Mazzocchi, N. A., &#38; Sarac, N. E. (2023). Regular methods for operator precedence languages. In <i>50th International Colloquium on Automata, Languages, and Programming</i> (Vol. 261, p. 129:1--129:20). Paderborn, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2023.129\">https://doi.org/10.4230/LIPIcs.ICALP.2023.129</a>","mla":"Henzinger, Thomas A., et al. “Regular Methods for Operator Precedence Languages.” <i>50th International Colloquium on Automata, Languages, and Programming</i>, vol. 261, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, p. 129:1--129:20, doi:<a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2023.129\">10.4230/LIPIcs.ICALP.2023.129</a>.","ieee":"T. A. Henzinger, P. Kebis, N. A. Mazzocchi, and N. E. Sarac, “Regular methods for operator precedence languages,” in <i>50th International Colloquium on Automata, Languages, and Programming</i>, Paderborn, Germany, 2023, vol. 261, p. 129:1--129:20.","ama":"Henzinger TA, Kebis P, Mazzocchi NA, Sarac NE. Regular methods for operator precedence languages. In: <i>50th International Colloquium on Automata, Languages, and Programming</i>. Vol 261. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023:129:1--129:20. doi:<a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2023.129\">10.4230/LIPIcs.ICALP.2023.129</a>","short":"T.A. Henzinger, P. Kebis, N.A. Mazzocchi, N.E. Sarac, in:, 50th International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, p. 129:1--129:20.","chicago":"Henzinger, Thomas A, Pavol Kebis, Nicolas Adrien Mazzocchi, and Naci E Sarac. “Regular Methods for Operator Precedence Languages.” In <i>50th International Colloquium on Automata, Languages, and Programming</i>, 261:129:1--129:20. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. <a href=\"https://doi.org/10.4230/LIPIcs.ICALP.2023.129\">https://doi.org/10.4230/LIPIcs.ICALP.2023.129</a>.","ista":"Henzinger TA, Kebis P, Mazzocchi NA, Sarac NE. 2023. Regular methods for operator precedence languages. 50th International Colloquium on Automata, Languages, and Programming. ICALP: International Colloquium on Automata, Languages, and Programming, LIPIcs, vol. 261, 129:1--129:20."},"year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"eissn":["1868-8969"],"isbn":["9783959772785"]},"alternative_title":["LIPIcs"],"arxiv":1,"page":"129:1--129:20","date_published":"2023-07-05T00:00:00Z","file":[{"relation":"main_file","date_created":"2023-07-24T15:11:05Z","content_type":"application/pdf","creator":"esarac","file_size":859379,"success":1,"date_updated":"2023-07-24T15:11:05Z","file_id":"13293","checksum":"5d4c8932ef3450615a53b9bb15d92eb2","file_name":"icalp23.pdf","access_level":"open_access"}],"external_id":{"arxiv":["2305.03447"]},"doi":"10.4230/LIPIcs.ICALP.2023.129","language":[{"iso":"eng"}],"has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"ToHe"}],"ec_funded":1,"acknowledgement":"This work was supported in part by the ERC-2020-AdG 101020093.\r\nWe thank Pierre Ganty for early discussions and the anonymous reviewers for their helpful comments.\r\n","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes","day":"05","type":"conference","date_updated":"2023-07-31T08:38:38Z","oa_version":"Published Version"},{"day":"18","oa_version":"Published Version","date_updated":"2023-09-05T15:14:00Z","type":"conference","article_processing_charge":"Yes (in subscription journal)","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","acknowledgement":"This work is supported by the European Research Council under Grant No.: ERC-2020-AdG101020093.","department":[{"_id":"GradSch"},{"_id":"ToHe"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"doi":"10.1007/978-3-031-37703-7_17","ec_funded":1,"page":"358–382","file":[{"file_size":647760,"content_type":"application/pdf","creator":"dernst","relation":"main_file","date_created":"2023-07-31T08:11:20Z","file_name":"2023_LNCS_CAV_HenzingerT.pdf","checksum":"ccaf94bf7d658ba012c016e11869b54c","access_level":"open_access","success":1,"date_updated":"2023-07-31T08:11:20Z","file_id":"13327"}],"external_id":{"arxiv":["2305.15979"]},"date_published":"2023-07-18T00:00:00Z","arxiv":1,"publication_identifier":{"isbn":["9783031377020"],"eissn":["1611-3349"],"issn":["0302-9743"],"eisbn":["9783031377037"]},"alternative_title":["LNCS"],"year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"quality_controlled":"1","author":[{"first_name":"Thomas A","last_name":"Henzinger","full_name":"Henzinger, Thomas A","orcid":"0000-0002-2985-7724","id":"40876CD8-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0009-0005-0820-1696","full_name":"Karimi, Mahyar","id":"f1dedef5-2f78-11ee-989a-c4c97bccf506","last_name":"Karimi","first_name":"Mahyar"},{"last_name":"Kueffner","first_name":"Konstantin","id":"8121a2d0-dc85-11ea-9058-af578f3b4515","orcid":"0000-0001-8974-2542","full_name":"Kueffner, Konstantin"},{"first_name":"Kaushik","last_name":"Mallik","id":"0834ff3c-6d72-11ec-94e0-b5b0a4fb8598","full_name":"Mallik, Kaushik","orcid":"0000-0001-9864-7475"}],"citation":{"ieee":"T. A. Henzinger, M. Karimi, K. Kueffner, and K. Mallik, “Monitoring algorithmic fairness,” in <i>Computer Aided Verification</i>, Paris, France, 2023, vol. 13965, pp. 358–382.","ama":"Henzinger TA, Karimi M, Kueffner K, Mallik K. Monitoring algorithmic fairness. In: <i>Computer Aided Verification</i>. Vol 13965. Springer Nature; 2023:358–382. doi:<a href=\"https://doi.org/10.1007/978-3-031-37703-7_17\">10.1007/978-3-031-37703-7_17</a>","chicago":"Henzinger, Thomas A, Mahyar Karimi, Konstantin Kueffner, and Kaushik Mallik. “Monitoring Algorithmic Fairness.” In <i>Computer Aided Verification</i>, 13965:358–382. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/978-3-031-37703-7_17\">https://doi.org/10.1007/978-3-031-37703-7_17</a>.","short":"T.A. Henzinger, M. Karimi, K. Kueffner, K. Mallik, in:, Computer Aided Verification, Springer Nature, 2023, pp. 358–382.","ista":"Henzinger TA, Karimi M, Kueffner K, Mallik K. 2023. Monitoring algorithmic fairness. Computer Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 13965, 358–382.","apa":"Henzinger, T. A., Karimi, M., Kueffner, K., &#38; Mallik, K. (2023). Monitoring algorithmic fairness. In <i>Computer Aided Verification</i> (Vol. 13965, pp. 358–382). Paris, France: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-031-37703-7_17\">https://doi.org/10.1007/978-3-031-37703-7_17</a>","mla":"Henzinger, Thomas A., et al. “Monitoring Algorithmic Fairness.” <i>Computer Aided Verification</i>, vol. 13965, Springer Nature, 2023, pp. 358–382, doi:<a href=\"https://doi.org/10.1007/978-3-031-37703-7_17\">10.1007/978-3-031-37703-7_17</a>."},"abstract":[{"lang":"eng","text":"Machine-learned systems are in widespread use for making decisions about humans, and it is important that they are fair, i.e., not biased against individuals based on sensitive attributes. We present runtime verification of algorithmic fairness for systems whose models are unknown, but are assumed to have a Markov chain structure. We introduce a specification language that can model many common algorithmic fairness properties, such as demographic parity, equal opportunity, and social burden. We build monitors that observe a long sequence of events as generated by a given system, and output, after each observation, a quantitative estimate of how fair or biased the system was on that run until that point in time. The estimate is proven to be correct modulo a variable error bound and a given confidence level, where the error bound gets tighter as the observed sequence gets longer. Our monitors are of two types, and use, respectively, frequentist and Bayesian statistical inference techniques. While the frequentist monitors compute estimates that are objectively correct with respect to the ground truth, the Bayesian monitors compute estimates that are correct subject to a given prior belief about the system’s model. Using a prototype implementation, we show how we can monitor if a bank is fair in giving loans to applicants from different social backgrounds, and if a college is fair in admitting students while maintaining a reasonable financial burden on the society. Although they exhibit different theoretical complexities in certain cases, in our experiments, both frequentist and Bayesian monitors took less than a millisecond to update their verdicts after each observation."}],"publication_status":"published","project":[{"call_identifier":"H2020","_id":"62781420-2b32-11ec-9570-8d9b63373d4d","grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software"}],"_id":"13310","ddc":["000"],"oa":1,"publication":"Computer Aided Verification","title":"Monitoring algorithmic fairness","publisher":"Springer Nature","file_date_updated":"2023-07-31T08:11:20Z","volume":13965,"status":"public","month":"07","conference":{"name":"CAV: Computer Aided Verification","end_date":"2023-07-22","start_date":"2023-07-17","location":"Paris, France"},"date_created":"2023-07-25T18:32:40Z","intvolume":"     13965"},{"month":"06","date_created":"2023-07-26T11:17:20Z","status":"public","article_number":"2306.07109","citation":{"mla":"Valentini, Marco, et al. “Radio Frequency Driven Superconducting Diode and Parity Conserving  Cooper Pair Transport in a Two-Dimensional Germanium Hole Gas.” <i>ArXiv</i>, 2306.07109, doi:<a href=\"https://doi.org/10.48550/arXiv.2306.07109\">10.48550/arXiv.2306.07109</a>.","apa":"Valentini, M., Sagi, O., Baghumyan, L., Gijsel, T. de, Jung, J., Calcaterra, S., … Katsaros, G. (n.d.). Radio frequency driven superconducting diode and parity conserving  Cooper pair transport in a two-dimensional germanium hole gas. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2306.07109\">https://doi.org/10.48550/arXiv.2306.07109</a>","chicago":"Valentini, Marco, Oliver Sagi, Levon Baghumyan, Thijs de Gijsel, Jason Jung, Stefano Calcaterra, Andrea Ballabio, et al. “Radio Frequency Driven Superconducting Diode and Parity Conserving  Cooper Pair Transport in a Two-Dimensional Germanium Hole Gas.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2306.07109\">https://doi.org/10.48550/arXiv.2306.07109</a>.","short":"M. Valentini, O. Sagi, L. Baghumyan, T. de Gijsel, J. Jung, S. Calcaterra, A. Ballabio, J.A. Servin, K. Aggarwal, M. Janik, T. Adletzberger, R.S. Souto, M. Leijnse, J. Danon, C. Schrade, E. Bakkers, D. Chrastina, G. Isella, G. Katsaros, ArXiv (n.d.).","ista":"Valentini M, Sagi O, Baghumyan L, Gijsel T de, Jung J, Calcaterra S, Ballabio A, Servin JA, Aggarwal K, Janik M, Adletzberger T, Souto RS, Leijnse M, Danon J, Schrade C, Bakkers E, Chrastina D, Isella G, Katsaros G. Radio frequency driven superconducting diode and parity conserving  Cooper pair transport in a two-dimensional germanium hole gas. arXiv, 2306.07109.","ama":"Valentini M, Sagi O, Baghumyan L, et al. Radio frequency driven superconducting diode and parity conserving  Cooper pair transport in a two-dimensional germanium hole gas. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2306.07109\">10.48550/arXiv.2306.07109</a>","ieee":"M. Valentini <i>et al.</i>, “Radio frequency driven superconducting diode and parity conserving  Cooper pair transport in a two-dimensional germanium hole gas,” <i>arXiv</i>. ."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2306.07109"}],"author":[{"full_name":"Valentini, Marco","id":"C0BB2FAC-D767-11E9-B658-BC13E6697425","first_name":"Marco","last_name":"Valentini"},{"id":"71616374-A8E9-11E9-A7CA-09ECE5697425","full_name":"Sagi, Oliver","last_name":"Sagi","first_name":"Oliver"},{"last_name":"Baghumyan","first_name":"Levon","full_name":"Baghumyan, Levon"},{"last_name":"Gijsel","first_name":"Thijs de","full_name":"Gijsel, Thijs de"},{"last_name":"Jung","first_name":"Jason","full_name":"Jung, Jason","id":"4C9ACE7A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Calcaterra","first_name":"Stefano","full_name":"Calcaterra, Stefano"},{"full_name":"Ballabio, Andrea","last_name":"Ballabio","first_name":"Andrea"},{"last_name":"Servin","first_name":"Juan Aguilera","full_name":"Servin, Juan Aguilera"},{"orcid":"0000-0001-9985-9293","full_name":"Aggarwal, Kushagra","id":"b22ab905-3539-11eb-84c3-fc159dcd79cb","last_name":"Aggarwal","first_name":"Kushagra"},{"full_name":"Janik, Marian","id":"396A1950-F248-11E8-B48F-1D18A9856A87","last_name":"Janik","first_name":"Marian"},{"id":"38756BB2-F248-11E8-B48F-1D18A9856A87","full_name":"Adletzberger, Thomas","last_name":"Adletzberger","first_name":"Thomas"},{"first_name":"Rubén Seoane","last_name":"Souto","full_name":"Souto, Rubén Seoane"},{"first_name":"Martin","last_name":"Leijnse","full_name":"Leijnse, Martin"},{"full_name":"Danon, Jeroen","last_name":"Danon","first_name":"Jeroen"},{"first_name":"Constantin","last_name":"Schrade","full_name":"Schrade, Constantin"},{"full_name":"Bakkers, Erik","last_name":"Bakkers","first_name":"Erik"},{"full_name":"Chrastina, Daniel","first_name":"Daniel","last_name":"Chrastina"},{"full_name":"Isella, Giovanni","first_name":"Giovanni","last_name":"Isella"},{"orcid":"0000-0001-8342-202X","full_name":"Katsaros, Georgios","id":"38DB5788-F248-11E8-B48F-1D18A9856A87","last_name":"Katsaros","first_name":"Georgios"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2023","title":"Radio frequency driven superconducting diode and parity conserving  Cooper pair transport in a two-dimensional germanium hole gas","publication":"arXiv","_id":"13312","ddc":["530"],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"13286"}]},"oa":1,"project":[{"name":"TOPOLOGICALLY PROTECTED AND SCALABLE QUANTUM BITS","grant_number":"862046","_id":"237E5020-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020"},{"_id":"237B3DA4-32DE-11EA-91FC-C7463DDC885E","call_identifier":"FWF","grant_number":"P32235","name":"Towards scalable hut wire quantum devices"},{"_id":"bd8bd29e-d553-11ed-ba76-f0070d4b237a","name":"Merging spin and superconducting qubits in planar Ge","grant_number":"P36507"},{"_id":"34a66131-11ca-11ed-8bc3-a31681c6b03e","grant_number":"F8606","name":"Conventional and unconventional topological superconductors"},{"_id":"bd5b4ec5-d553-11ed-ba76-a6eedb083344","name":"Protected states of quantum matter"}],"abstract":[{"lang":"eng","text":"Superconductor/semiconductor hybrid devices have attracted increasing\r\ninterest in the past years. Superconducting electronics aims to complement\r\nsemiconductor technology, while hybrid architectures are at the forefront of\r\nnew ideas such as topological superconductivity and protected qubits. In this\r\nwork, we engineer the induced superconductivity in two-dimensional germanium\r\nhole gas by varying the distance between the quantum well and the aluminum. We\r\ndemonstrate a hard superconducting gap and realize an electrically and flux\r\ntunable superconducting diode using a superconducting quantum interference\r\ndevice (SQUID). This allows to tune the current phase relation (CPR), to a\r\nregime where single Cooper pair tunneling is suppressed, creating a $ \\sin\r\n\\left( 2 \\varphi \\right)$ CPR. Shapiro experiments complement this\r\ninterpretation and the microwave drive allows to create a diode with $ \\approx\r\n100 \\%$ efficiency. The reported results open up the path towards monolithic\r\nintegration of spin qubit devices, microwave resonators and (protected)\r\nsuperconducting qubits on a silicon technology compatible platform."}],"publication_status":"submitted","external_id":{"arxiv":["2306.07109"]},"keyword":["Mesoscale and Nanoscale Physics"],"date_published":"2023-06-13T00:00:00Z","arxiv":1,"article_processing_charge":"No","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa_version":"Preprint","type":"preprint","date_updated":"2024-02-07T07:52:32Z","day":"13","acknowledged_ssus":[{"_id":"M-Shop"},{"_id":"NanoFab"}],"ec_funded":1,"department":[{"_id":"GeKa"},{"_id":"M-Shop"}],"language":[{"iso":"eng"}],"doi":"10.48550/arXiv.2306.07109","acknowledgement":"The authors acknowledge Alexander Brinkmann, Alessandro Crippa, Andrew Higginbotham, Andrea Iorio, Giordano\r\nScappucci and Christian Schonenberger for helpful discussions. We thank Marcel Verheijen for the support in the\r\nTEM analysis. This research and related results were made\r\npossible with the support of the NOMIS Foundation. It was\r\nsupported by the Scientific Service Units of ISTA through resources provided by the MIBA Machine Shop and the\r\nnanofabrication facility, the European Union’s Horizon 2020\r\nresearch and innovation programme under Grant Agreement\r\nNo 862046, the HORIZON-RIA 101069515 project and the\r\nFWF Projects #P-32235, #P-36507 and #F-8606. R.S.S.\r\nacknowledges Spanish CM “Talento Program” Project No.\r\n2022-T1/IND-24070."},{"publication_identifier":{"eissn":["1745-2481"],"issn":["1745-2473"]},"scopus_import":"1","date_published":"2023-12-01T00:00:00Z","external_id":{"pmid":["38075437"]},"file":[{"relation":"main_file","date_created":"2024-01-30T14:28:30Z","file_size":22471673,"creator":"dernst","content_type":"application/pdf","success":1,"date_updated":"2024-01-30T14:28:30Z","file_id":"14916","checksum":"bc7673ca07d37309013a86166577b2f7","file_name":"2023_NaturePhysics_Dunajova.pdf","access_level":"open_access"}],"page":"1916-1926","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"ec_funded":1,"doi":"10.1038/s41567-023-02218-w","language":[{"iso":"eng"}],"department":[{"_id":"JoDa"},{"_id":"EdHa"},{"_id":"MaLo"},{"_id":"GradSch"}],"has_accepted_license":"1","acknowledgement":"This work was supported by the European Research Council through grant ERC 2015-StG-679239 and by the Austrian Science Fund (FWF) StandAlone P34607 to M.L., B. P.M. was also supported by the Kanazawa University WPI- NanoLSI Bio-SPM collaborative research program. Z.D. has received funding from Doctoral Programme of the Austrian Academy of Sciences (OeAW): Grant agreement 26360. We thank Jan Brugues (MPI CBG, Dresden, Germany), Andela Saric (ISTA, Klosterneuburg, Austria), Daniel Pearce (Uni Geneva, Switzerland) for valuable scientific input and comments on the manuscript. We are also thankful for the support by the Scientific Service Units (SSU) of IST Austria through resources provided by the Imaging and Optics Facility (IOF) and the Lab Support Facility (LSF).","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (in subscription journal)","type":"journal_article","date_updated":"2024-02-21T12:19:08Z","oa_version":"Published Version","day":"01","intvolume":"        19","date_created":"2023-07-27T14:44:45Z","month":"12","status":"public","volume":19,"file_date_updated":"2024-01-30T14:28:30Z","article_type":"original","publisher":"Springer Nature","publication":"Nature Physics","title":"Chiral and nematic phases of flexible active filaments","pmid":1,"ddc":["530"],"related_material":{"record":[{"id":"13116","relation":"research_data","status":"public"}]},"oa":1,"_id":"13314","project":[{"name":"Self-Organization of the Bacterial Cell","grant_number":"679239","_id":"2595697A-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"fc38323b-9c52-11eb-aca3-ff8afb4a011d","name":"Understanding bacterial cell division by in vitro\r\nreconstitution","grant_number":"P34607"},{"_id":"34d75525-11ca-11ed-8bc3-89b6307fee9d","grant_number":"26360","name":"Motile active matter models of migrating cells and chiral filaments"}],"publication_status":"published","abstract":[{"text":"The emergence of large-scale order in self-organized systems relies on local interactions between individual components. During bacterial cell division, FtsZ—a prokaryotic homologue of the eukaryotic protein tubulin—polymerizes into treadmilling filaments that further organize into a cytoskeletal ring. In vitro, FtsZ filaments can form dynamic chiral assemblies. However, how the active and passive properties of individual filaments relate to these large-scale self-organized structures remains poorly understood. Here we connect single-filament properties with the mesoscopic scale by combining minimal active matter simulations and biochemical reconstitution experiments. We show that the density and flexibility of active chiral filaments define their global order. At intermediate densities, curved, flexible filaments organize into chiral rings and polar bands. An effectively nematic organization dominates for high densities and for straight, mutant filaments with increased rigidity. Our predicted phase diagram quantitatively captures these features, demonstrating how the flexibility, density and chirality of the active filaments affect their collective behaviour. Our findings shed light on the fundamental properties of active chiral matter and explain how treadmilling FtsZ filaments organize during bacterial cell division.","lang":"eng"}],"citation":{"mla":"Dunajova, Zuzana, et al. “Chiral and Nematic Phases of Flexible Active Filaments.” <i>Nature Physics</i>, vol. 19, Springer Nature, 2023, pp. 1916–26, doi:<a href=\"https://doi.org/10.1038/s41567-023-02218-w\">10.1038/s41567-023-02218-w</a>.","apa":"Dunajova, Z., Prats Mateu, B., Radler, P., Lim, K., Brandis, D., Velicky, P., … Loose, M. (2023). Chiral and nematic phases of flexible active filaments. <i>Nature Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41567-023-02218-w\">https://doi.org/10.1038/s41567-023-02218-w</a>","ama":"Dunajova Z, Prats Mateu B, Radler P, et al. Chiral and nematic phases of flexible active filaments. <i>Nature Physics</i>. 2023;19:1916-1926. doi:<a href=\"https://doi.org/10.1038/s41567-023-02218-w\">10.1038/s41567-023-02218-w</a>","ieee":"Z. Dunajova <i>et al.</i>, “Chiral and nematic phases of flexible active filaments,” <i>Nature Physics</i>, vol. 19. Springer Nature, pp. 1916–1926, 2023.","chicago":"Dunajova, Zuzana, Batirtze Prats Mateu, Philipp Radler, Keesiang Lim, Dörte Brandis, Philipp Velicky, Johann G Danzl, et al. “Chiral and Nematic Phases of Flexible Active Filaments.” <i>Nature Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1038/s41567-023-02218-w\">https://doi.org/10.1038/s41567-023-02218-w</a>.","short":"Z. Dunajova, B. Prats Mateu, P. Radler, K. Lim, D. Brandis, P. Velicky, J.G. Danzl, R.W. Wong, J. Elgeti, E.B. Hannezo, M. Loose, Nature Physics 19 (2023) 1916–1926.","ista":"Dunajova Z, Prats Mateu B, Radler P, Lim K, Brandis D, Velicky P, Danzl JG, Wong RW, Elgeti J, Hannezo EB, Loose M. 2023. Chiral and nematic phases of flexible active filaments. Nature Physics. 19, 1916–1926."},"author":[{"first_name":"Zuzana","last_name":"Dunajova","id":"4B39F286-F248-11E8-B48F-1D18A9856A87","full_name":"Dunajova, Zuzana"},{"full_name":"Prats Mateu, Batirtze","id":"299FE892-F248-11E8-B48F-1D18A9856A87","last_name":"Prats Mateu","first_name":"Batirtze"},{"first_name":"Philipp","last_name":"Radler","id":"40136C2A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9198-2182 ","full_name":"Radler, Philipp"},{"full_name":"Lim, Keesiang","last_name":"Lim","first_name":"Keesiang"},{"id":"21d64d35-f128-11eb-9611-b8bcca7a12fd","full_name":"Brandis, Dörte","first_name":"Dörte","last_name":"Brandis"},{"first_name":"Philipp","last_name":"Velicky","orcid":"0000-0002-2340-7431","full_name":"Velicky, Philipp","id":"39BDC62C-F248-11E8-B48F-1D18A9856A87"},{"id":"42EFD3B6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8559-3973","full_name":"Danzl, Johann G","last_name":"Danzl","first_name":"Johann G"},{"first_name":"Richard W.","last_name":"Wong","full_name":"Wong, Richard W."},{"last_name":"Elgeti","first_name":"Jens","full_name":"Elgeti, Jens"},{"first_name":"Edouard B","last_name":"Hannezo","orcid":"0000-0001-6005-1561","full_name":"Hannezo, Edouard B","id":"3A9DB764-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Loose","first_name":"Martin","full_name":"Loose, Martin","orcid":"0000-0001-7309-9724","id":"462D4284-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":"1","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2023"},{"scopus_import":"1","publication_identifier":{"eissn":["1091-6490"]},"file":[{"date_created":"2023-07-31T07:30:48Z","relation":"main_file","content_type":"application/pdf","creator":"dernst","file_size":995933,"date_updated":"2023-07-31T07:30:48Z","file_id":"13323","success":1,"access_level":"open_access","checksum":"1fc06228afdb3aa80cf8e7766bcf9dc5","file_name":"2023_PNAS_Barbier.pdf"}],"external_id":{"pmid":["37463204"]},"date_published":"2023-07-25T00:00:00Z","department":[{"_id":"MaMo"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"doi":"10.1073/pnas.2302028120","acknowledgement":"J.B. was funded by the European Union (ERC, CHORAL, project number 101039794). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. M.M. was supported by the 2019 Lopez-Loreta Prize. We would like to thank the reviewers for the insightful comments and, in particular, for suggesting the BAMP-inspired denoisers leading to AMP-AP.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (in subscription journal)","oa_version":"Published Version","date_updated":"2024-09-10T13:03:18Z","type":"journal_article","day":"25","intvolume":"       120","month":"07","date_created":"2023-07-30T22:01:02Z","article_number":"e2302028120","status":"public","volume":120,"issue":"30","file_date_updated":"2023-07-31T07:30:48Z","publisher":"National Academy of Sciences","article_type":"original","pmid":1,"publication":"Proceedings of the National Academy of Sciences of the United States of America","title":"Fundamental limits in structured principal component analysis and how to reach them","_id":"13315","related_material":{"link":[{"relation":"software","url":"https://github.com/fcamilli95/Structured-PCA-"}]},"oa":1,"ddc":["000"],"project":[{"name":"Prix Lopez-Loretta 2019 - Marco Mondelli","_id":"059876FA-7A3F-11EA-A408-12923DDC885E"}],"abstract":[{"text":"How do statistical dependencies in measurement noise influence high-dimensional inference? To answer this, we study the paradigmatic spiked matrix model of principal components analysis (PCA), where a rank-one matrix is corrupted by additive noise. We go beyond the usual independence assumption on the noise entries, by drawing the noise from a low-order polynomial orthogonal matrix ensemble. The resulting noise correlations make the setting relevant for applications but analytically challenging. We provide characterization of the Bayes optimal limits of inference in this model. If the spike is rotation invariant, we show that standard spectral PCA is optimal. However, for more general priors, both PCA and the existing approximate message-passing algorithm (AMP) fall short of achieving the information-theoretic limits, which we compute using the replica method from statistical physics. We thus propose an AMP, inspired by the theory of adaptive Thouless–Anderson–Palmer equations, which is empirically observed to saturate the conjectured theoretical limit. This AMP comes with a rigorous state evolution analysis tracking its performance. Although we focus on specific noise distributions, our methodology can be generalized to a wide class of trace matrix ensembles at the cost of more involved expressions. Finally, despite the seemingly strong assumption of rotation-invariant noise, our theory empirically predicts algorithmic performance on real data, pointing at strong universality properties.","lang":"eng"}],"publication_status":"published","citation":{"chicago":"Barbier, Jean, Francesco Camilli, Marco Mondelli, and Manuel Sáenz. “Fundamental Limits in Structured Principal Component Analysis and How to Reach Them.” <i>Proceedings of the National Academy of Sciences of the United States of America</i>. National Academy of Sciences, 2023. <a href=\"https://doi.org/10.1073/pnas.2302028120\">https://doi.org/10.1073/pnas.2302028120</a>.","short":"J. Barbier, F. Camilli, M. Mondelli, M. Sáenz, Proceedings of the National Academy of Sciences of the United States of America 120 (2023).","ista":"Barbier J, Camilli F, Mondelli M, Sáenz M. 2023. Fundamental limits in structured principal component analysis and how to reach them. Proceedings of the National Academy of Sciences of the United States of America. 120(30), e2302028120.","ieee":"J. Barbier, F. Camilli, M. Mondelli, and M. Sáenz, “Fundamental limits in structured principal component analysis and how to reach them,” <i>Proceedings of the National Academy of Sciences of the United States of America</i>, vol. 120, no. 30. National Academy of Sciences, 2023.","ama":"Barbier J, Camilli F, Mondelli M, Sáenz M. Fundamental limits in structured principal component analysis and how to reach them. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. 2023;120(30). doi:<a href=\"https://doi.org/10.1073/pnas.2302028120\">10.1073/pnas.2302028120</a>","mla":"Barbier, Jean, et al. “Fundamental Limits in Structured Principal Component Analysis and How to Reach Them.” <i>Proceedings of the National Academy of Sciences of the United States of America</i>, vol. 120, no. 30, e2302028120, National Academy of Sciences, 2023, doi:<a href=\"https://doi.org/10.1073/pnas.2302028120\">10.1073/pnas.2302028120</a>.","apa":"Barbier, J., Camilli, F., Mondelli, M., &#38; Sáenz, M. (2023). Fundamental limits in structured principal component analysis and how to reach them. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.2302028120\">https://doi.org/10.1073/pnas.2302028120</a>"},"quality_controlled":"1","author":[{"full_name":"Barbier, Jean","last_name":"Barbier","first_name":"Jean"},{"full_name":"Camilli, Francesco","first_name":"Francesco","last_name":"Camilli"},{"first_name":"Marco","last_name":"Mondelli","orcid":"0000-0002-3242-7020","full_name":"Mondelli, Marco","id":"27EB676C-8706-11E9-9510-7717E6697425"},{"first_name":"Manuel","last_name":"Sáenz","full_name":"Sáenz, Manuel"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2023"},{"day":"21","oa_version":"Published Version","type":"journal_article","date_updated":"2023-12-13T11:37:36Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes","acknowledgement":"This work was supported by JSPS KAKENHI grant #18K062291, and the Takeda Science Foundation to JYT., as well as JSPS KAKENHI grant #19K065710, the Takeda Science Foundation, and Life Science Foundation of Japan to JT.","has_accepted_license":"1","department":[{"_id":"DaSi"}],"doi":"10.7554/eLife.84850","language":[{"iso":"eng"}],"external_id":{"pmid":["37477116"],"isi":["001035372800001"]},"file":[{"date_updated":"2023-07-31T07:43:00Z","file_id":"13324","success":1,"access_level":"open_access","file_name":"2023_eLife_Toshima.pdf","checksum":"2af111a00cf5e3a956f7f0fd13199b15","date_created":"2023-07-31T07:43:00Z","relation":"main_file","content_type":"application/pdf","creator":"dernst","file_size":11980913}],"date_published":"2023-07-21T00:00:00Z","scopus_import":"1","publication_identifier":{"eissn":["2050-084X"]},"year":"2023","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"quality_controlled":"1","author":[{"first_name":"Junko Y.","last_name":"Toshima","full_name":"Toshima, Junko Y."},{"full_name":"Tsukahara, Ayana","first_name":"Ayana","last_name":"Tsukahara"},{"last_name":"Nagano","first_name":"Makoto","full_name":"Nagano, Makoto"},{"last_name":"Tojima","first_name":"Takuro","full_name":"Tojima, Takuro"},{"full_name":"Siekhaus, Daria E","orcid":"0000-0001-8323-8353","id":"3D224B9E-F248-11E8-B48F-1D18A9856A87","last_name":"Siekhaus","first_name":"Daria E"},{"full_name":"Nakano, Akihiko","last_name":"Nakano","first_name":"Akihiko"},{"first_name":"Jiro","last_name":"Toshima","full_name":"Toshima, Jiro"}],"citation":{"short":"J.Y. Toshima, A. Tsukahara, M. Nagano, T. Tojima, D.E. Siekhaus, A. Nakano, J. Toshima, ELife 12 (2023).","chicago":"Toshima, Junko Y., Ayana Tsukahara, Makoto Nagano, Takuro Tojima, Daria E Siekhaus, Akihiko Nakano, and Jiro Toshima. “The Yeast Endocytic Early/Sorting Compartment Exists as an Independent Sub-Compartment within the Trans-Golgi Network.” <i>ELife</i>. eLife Sciences Publications, 2023. <a href=\"https://doi.org/10.7554/eLife.84850\">https://doi.org/10.7554/eLife.84850</a>.","ista":"Toshima JY, Tsukahara A, Nagano M, Tojima T, Siekhaus DE, Nakano A, Toshima J. 2023. The yeast endocytic early/sorting compartment exists as an independent sub-compartment within the trans-Golgi network. eLife. 12, e84850.","ieee":"J. Y. Toshima <i>et al.</i>, “The yeast endocytic early/sorting compartment exists as an independent sub-compartment within the trans-Golgi network,” <i>eLife</i>, vol. 12. eLife Sciences Publications, 2023.","ama":"Toshima JY, Tsukahara A, Nagano M, et al. The yeast endocytic early/sorting compartment exists as an independent sub-compartment within the trans-Golgi network. <i>eLife</i>. 2023;12. doi:<a href=\"https://doi.org/10.7554/eLife.84850\">10.7554/eLife.84850</a>","mla":"Toshima, Junko Y., et al. “The Yeast Endocytic Early/Sorting Compartment Exists as an Independent Sub-Compartment within the Trans-Golgi Network.” <i>ELife</i>, vol. 12, e84850, eLife Sciences Publications, 2023, doi:<a href=\"https://doi.org/10.7554/eLife.84850\">10.7554/eLife.84850</a>.","apa":"Toshima, J. Y., Tsukahara, A., Nagano, M., Tojima, T., Siekhaus, D. E., Nakano, A., &#38; Toshima, J. (2023). The yeast endocytic early/sorting compartment exists as an independent sub-compartment within the trans-Golgi network. <i>ELife</i>. eLife Sciences Publications. <a href=\"https://doi.org/10.7554/eLife.84850\">https://doi.org/10.7554/eLife.84850</a>"},"abstract":[{"text":"Although budding yeast has been extensively used as a model organism for studying organelle functions and intracellular vesicle trafficking, whether it possesses an independent endocytic early/sorting compartment that sorts endocytic cargos to the endo-lysosomal pathway or the recycling pathway has long been unclear. The structure and properties of the endocytic early/sorting compartment differ significantly between organisms; in plant cells, the trans-Golgi network (TGN) serves this role, whereas in mammalian cells a separate intracellular structure performs this function. The yeast syntaxin homolog Tlg2p, widely localizing to the TGN and endosomal compartments, is presumed to act as a Q-SNARE for endocytic vesicles, but which compartment is the direct target for endocytic vesicles remained unanswered. Here we demonstrate by high-speed and high-resolution 4D imaging of fluorescently labeled endocytic cargos that the Tlg2p-residing compartment within the TGN functions as the early/sorting compartment. After arriving here, endocytic cargos are recycled to the plasma membrane or transported to the yeast Rab5-residing endosomal compartment through the pathway requiring the clathrin adaptors GGAs. Interestingly, Gga2p predominantly localizes at the Tlg2p-residing compartment, and the deletion of GGAs has little effect on another TGN region where Sec7p is present but suppresses dynamics of the Tlg2-residing early/sorting compartment, indicating that the Tlg2p- and Sec7p-residing regions are discrete entities in the mutant. Thus, the Tlg2p-residing region seems to serve as an early/sorting compartment and function independently of the Sec7p-residing region within the TGN.","lang":"eng"}],"publication_status":"published","_id":"13316","oa":1,"ddc":["570"],"pmid":1,"title":"The yeast endocytic early/sorting compartment exists as an independent sub-compartment within the trans-Golgi network","publication":"eLife","article_type":"original","publisher":"eLife Sciences Publications","file_date_updated":"2023-07-31T07:43:00Z","volume":12,"article_number":"e84850","status":"public","month":"07","date_created":"2023-07-30T22:01:02Z","isi":1,"intvolume":"        12"},{"intvolume":"       190","isi":1,"date_created":"2023-07-30T22:01:02Z","month":"07","article_number":"128","status":"public","issue":"7","volume":190,"file_date_updated":"2023-07-31T07:49:31Z","publisher":"Springer Nature","article_type":"original","publication":"Journal of Statistical Physics","title":"Eigenstate thermalisation hypothesis for translation invariant spin systems","oa":1,"ddc":["510","530"],"_id":"13317","project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"publication_status":"published","abstract":[{"lang":"eng","text":"We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with L-body interactions, where L is the number of spins. This mathematically verifies the observation first made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130) that the ETH may hold for systems with additional translational symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interaction."}],"citation":{"ama":"Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. <i>Journal of Statistical Physics</i>. 2023;190(7). doi:<a href=\"https://doi.org/10.1007/s10955-023-03132-4\">10.1007/s10955-023-03132-4</a>","ieee":"S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation hypothesis for translation invariant spin systems,” <i>Journal of Statistical Physics</i>, vol. 190, no. 7. Springer Nature, 2023.","ista":"Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 190(7), 128.","chicago":"Sugimoto, Shoki, Sven Joscha Henheik, Volodymyr Riabov, and László Erdös. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” <i>Journal of Statistical Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s10955-023-03132-4\">https://doi.org/10.1007/s10955-023-03132-4</a>.","short":"S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).","mla":"Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” <i>Journal of Statistical Physics</i>, vol. 190, no. 7, 128, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s10955-023-03132-4\">10.1007/s10955-023-03132-4</a>.","apa":"Sugimoto, S., Henheik, S. J., Riabov, V., &#38; Erdös, L. (2023). Eigenstate thermalisation hypothesis for translation invariant spin systems. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-023-03132-4\">https://doi.org/10.1007/s10955-023-03132-4</a>"},"quality_controlled":"1","author":[{"full_name":"Sugimoto, Shoki","last_name":"Sugimoto","first_name":"Shoki"},{"first_name":"Sven Joscha","last_name":"Henheik","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"},{"full_name":"Riabov, Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","first_name":"Volodymyr","last_name":"Riabov"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","first_name":"László"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2023","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"scopus_import":"1","arxiv":1,"date_published":"2023-07-21T00:00:00Z","file":[{"access_level":"open_access","checksum":"c2ef6b2aecfee1ad6d03fab620507c2c","file_name":"2023_JourStatPhysics_Sugimoto.pdf","date_updated":"2023-07-31T07:49:31Z","file_id":"13325","success":1,"content_type":"application/pdf","creator":"dernst","file_size":612755,"date_created":"2023-07-31T07:49:31Z","relation":"main_file"}],"external_id":{"arxiv":["2304.04213"],"isi":["001035677200002"]},"ec_funded":1,"language":[{"iso":"eng"}],"doi":"10.1007/s10955-023-03132-4","has_accepted_license":"1","department":[{"_id":"LaEr"}],"acknowledgement":"LE, JH, and VR were supported by ERC Advanced Grant “RMTBeyond” No. 101020331. SS was supported by KAKENHI Grant Number JP22J14935 from the Japan Society for the Promotion of Science (JSPS) and Forefront Physics and Mathematics Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study (WINGS) Program, the University of Tokyo.\r\nOpen access funding provided by The University of Tokyo.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (in subscription journal)","date_updated":"2023-12-13T11:38:44Z","type":"journal_article","oa_version":"Published Version","day":"21"},{"article_type":"original","publisher":"Springer Nature","isi":1,"month":"07","date_created":"2023-07-30T22:01:03Z","status":"public","citation":{"ama":"Volberg A, Zhang H. Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische Annalen</i>. 2023. doi:<a href=\"https://doi.org/10.1007/s00208-023-02680-0\">10.1007/s00208-023-02680-0</a>","ieee":"A. Volberg and H. Zhang, “Noncommutative Bohnenblust–Hille inequalities,” <i>Mathematische Annalen</i>. Springer Nature, 2023.","chicago":"Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” <i>Mathematische Annalen</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00208-023-02680-0\">https://doi.org/10.1007/s00208-023-02680-0</a>.","short":"A. Volberg, H. Zhang, Mathematische Annalen (2023).","ista":"Volberg A, Zhang H. 2023. Noncommutative Bohnenblust–Hille inequalities. Mathematische Annalen.","mla":"Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.” <i>Mathematische Annalen</i>, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s00208-023-02680-0\">10.1007/s00208-023-02680-0</a>.","apa":"Volberg, A., &#38; Zhang, H. (2023). Noncommutative Bohnenblust–Hille inequalities. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-023-02680-0\">https://doi.org/10.1007/s00208-023-02680-0</a>"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00208-023-02680-0"}],"quality_controlled":"1","author":[{"first_name":"Alexander","last_name":"Volberg","full_name":"Volberg, Alexander"},{"last_name":"Zhang","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425","full_name":"Zhang, Haonan"}],"year":"2023","title":"Noncommutative Bohnenblust–Hille inequalities","publication":"Mathematische Annalen","_id":"13318","oa":1,"project":[{"name":"Curvature-dimension in noncommutative analysis","grant_number":"M03337","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"}],"abstract":[{"text":"Bohnenblust–Hille inequalities for Boolean cubes have been proven with dimension-free constants that grow subexponentially in the degree (Defant et al. in Math Ann 374(1):653–680, 2019). Such inequalities have found great applications in learning low-degree Boolean functions (Eskenazis and Ivanisvili in Proceedings of the 54th annual ACM SIGACT symposium on theory of computing, pp 203–207, 2022). Motivated by learning quantum observables, a qubit analogue of Bohnenblust–Hille inequality for Boolean cubes was recently conjectured in Rouzé et al. (Quantum Talagrand, KKL and Friedgut’s theorems and the learnability of quantum Boolean functions, 2022. arXiv preprint arXiv:2209.07279). The conjecture was resolved in Huang et al. (Learning to predict arbitrary quantum processes, 2022. arXiv preprint arXiv:2210.14894). In this paper, we give a new proof of these Bohnenblust–Hille inequalities for qubit system with constants that are dimension-free and of exponential growth in the degree. As a consequence, we obtain a junta theorem for low-degree polynomials. Using similar ideas, we also study learning problems of low degree quantum observables and Bohr’s radius phenomenon on quantum Boolean cubes.","lang":"eng"}],"publication_status":"epub_ahead","external_id":{"arxiv":["2210.14468"],"isi":["001035665500001"]},"date_published":"2023-07-24T00:00:00Z","scopus_import":"1","publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"arxiv":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Published Version","date_updated":"2023-12-13T11:36:20Z","type":"journal_article","day":"24","department":[{"_id":"JaMa"}],"doi":"10.1007/s00208-023-02680-0","language":[{"iso":"eng"}],"acknowledgement":"The research of A.V. is supported by NSF DMS-1900286, DMS-2154402 and by Hausdorff Center for Mathematics. H.Z. is supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. This work is partially supported by NSF DMS-1929284 while both authors were in residence at the Institute for Computational and Experimental Research in Mathematics in Providence, RI, during the Harmonic Analysis and Convexity program."},{"project":[{"_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","name":"Gradient flow techniques for quantum Markov semigroups","grant_number":"ESP156_N"}],"publication_status":"published","abstract":[{"text":"We prove that the generator of the L2 implementation of a KMS-symmetric quantum Markov semigroup can be expressed as the square of a derivation with values in a Hilbert bimodule, extending earlier results by Cipriani and Sauvageot for tracially symmetric semigroups and the second-named author for GNS-symmetric semigroups. This result hinges on the introduction of a new completely positive map on the algebra of bounded operators on the GNS Hilbert space. This transformation maps symmetric Markov operators to symmetric Markov operators and is essential to obtain the required inner product on the Hilbert bimodule.","lang":"eng"}],"title":"Derivations and KMS-symmetric quantum Markov semigroups","publication":"Communications in Mathematical Physics","ddc":["510"],"oa":1,"_id":"13319","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2023","citation":{"mla":"Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.” <i>Communications in Mathematical Physics</i>, vol. 403, Springer Nature, 2023, pp. 381–416, doi:<a href=\"https://doi.org/10.1007/s00220-023-04795-6\">10.1007/s00220-023-04795-6</a>.","apa":"Vernooij, M., &#38; Wirth, M. (2023). Derivations and KMS-symmetric quantum Markov semigroups. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-023-04795-6\">https://doi.org/10.1007/s00220-023-04795-6</a>","short":"M. Vernooij, M. Wirth, Communications in Mathematical Physics 403 (2023) 381–416.","chicago":"Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00220-023-04795-6\">https://doi.org/10.1007/s00220-023-04795-6</a>.","ista":"Vernooij M, Wirth M. 2023. Derivations and KMS-symmetric quantum Markov semigroups. Communications in Mathematical Physics. 403, 381–416.","ieee":"M. Vernooij and M. Wirth, “Derivations and KMS-symmetric quantum Markov semigroups,” <i>Communications in Mathematical Physics</i>, vol. 403. Springer Nature, pp. 381–416, 2023.","ama":"Vernooij M, Wirth M. Derivations and KMS-symmetric quantum Markov semigroups. <i>Communications in Mathematical Physics</i>. 2023;403:381-416. doi:<a href=\"https://doi.org/10.1007/s00220-023-04795-6\">10.1007/s00220-023-04795-6</a>"},"author":[{"last_name":"Vernooij","first_name":"Matthijs","full_name":"Vernooij, Matthijs"},{"last_name":"Wirth","first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","full_name":"Wirth, Melchior","orcid":"0000-0002-0519-4241"}],"quality_controlled":"1","date_created":"2023-07-30T22:01:03Z","month":"10","status":"public","intvolume":"       403","isi":1,"file_date_updated":"2024-01-30T12:15:11Z","publisher":"Springer Nature","article_type":"original","volume":403,"acknowledgement":"The authors are grateful to Martijn Caspers for helpful comments on a preliminary version of this manuscript. M. V. was supported by the NWO Vidi grant VI.Vidi.192.018 ‘Non-commutative harmonic analysis and rigidity of operator algebras’. M. W. was funded by the Austrian Science Fund (FWF) under the Esprit Programme [ESP 156]. For the purpose of Open Access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission. Open access funding provided by Austrian Science Fund (FWF).","doi":"10.1007/s00220-023-04795-6","language":[{"iso":"eng"}],"department":[{"_id":"JaMa"}],"has_accepted_license":"1","date_updated":"2024-01-30T12:16:32Z","type":"journal_article","oa_version":"Published Version","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","arxiv":1,"publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"scopus_import":"1","date_published":"2023-10-01T00:00:00Z","external_id":{"arxiv":["2303.15949"],"isi":["001033655400002"]},"file":[{"creator":"dernst","content_type":"application/pdf","file_size":481209,"date_created":"2024-01-30T12:15:11Z","relation":"main_file","access_level":"open_access","checksum":"cca204e81891270216a0c84eb8bcd398","file_name":"2023_CommMathPhysics_Vernooij.pdf","date_updated":"2024-01-30T12:15:11Z","file_id":"14905","success":1}],"page":"381-416"},{"conference":{"name":"ITW: Information Theory Workshop","end_date":"2023-04-28","start_date":"2023-04-23","location":"Saint-Malo, France"},"month":"05","date_created":"2023-07-30T22:01:04Z","status":"public","isi":1,"publisher":"Institute of Electrical and Electronics Engineers","project":[{"name":"Prix Lopez-Loretta 2019 - Marco Mondelli","_id":"059876FA-7A3F-11EA-A408-12923DDC885E"}],"abstract":[{"lang":"eng","text":"We consider the problem of reconstructing the signal and the hidden variables from observations coming from a multi-layer network with rotationally invariant weight matrices. The multi-layer structure models inference from deep generative priors, and the rotational invariance imposed on the weights generalizes the i.i.d. Gaussian assumption by allowing for a complex correlation structure, which is typical in applications. In this work, we present a new class of approximate message passing (AMP) algorithms and give a state evolution recursion which precisely characterizes their performance in the large system limit. In contrast with the existing multi-layer VAMP (ML-VAMP) approach, our proposed AMP – dubbed multilayer rotationally invariant generalized AMP (ML-RI-GAMP) – provides a natural generalization beyond Gaussian designs, in the sense that it recovers the existing Gaussian AMP as a special case. Furthermore, ML-RI-GAMP exhibits a significantly lower complexity than ML-VAMP, as the computationally intensive singular value decomposition is replaced by an estimation of the moments of the design matrices. Finally, our numerical results show that this complexity gain comes at little to no cost in the performance of the algorithm."}],"publication_status":"published","publication":"2023 IEEE Information Theory Workshop","title":"Approximate message passing for multi-layer estimation in rotationally invariant models","_id":"13321","oa":1,"year":"2023","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2212.01572"}],"citation":{"ieee":"Y. Xu, T. Q. Hou, S. S. Liang, and M. Mondelli, “Approximate message passing for multi-layer estimation in rotationally invariant models,” in <i>2023 IEEE Information Theory Workshop</i>, Saint-Malo, France, 2023, pp. 294–298.","ama":"Xu Y, Hou TQ, Liang SS, Mondelli M. Approximate message passing for multi-layer estimation in rotationally invariant models. In: <i>2023 IEEE Information Theory Workshop</i>. 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Saint-Malo, France: Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/ITW55543.2023.10160238\">https://doi.org/10.1109/ITW55543.2023.10160238</a>"},"quality_controlled":"1","author":[{"last_name":"Xu","first_name":"Yizhou","full_name":"Xu, Yizhou"},{"first_name":"Tian Qi","last_name":"Hou","full_name":"Hou, Tian Qi"},{"full_name":"Liang, Shan Suo","last_name":"Liang","first_name":"Shan Suo"},{"last_name":"Mondelli","first_name":"Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","full_name":"Mondelli, Marco","orcid":"0000-0002-3242-7020"}],"arxiv":1,"scopus_import":"1","publication_identifier":{"eissn":["2475-4218"],"isbn":["9798350301496"]},"external_id":{"arxiv":["2212.01572"],"isi":["001031733100053"]},"date_published":"2023-05-01T00:00:00Z","page":"294-298","acknowledgement":"Marco Mondelli was partially supported by the 2019 Lopez-Loreta prize.","department":[{"_id":"MaMo"}],"doi":"10.1109/ITW55543.2023.10160238","language":[{"iso":"eng"}],"oa_version":"Preprint","date_updated":"2024-09-10T13:03:19Z","type":"conference","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No"},{"alternative_title":["ISTA Master's Thesis"],"publication_identifier":{"issn":["2791-4585"]},"file":[{"file_size":28684,"content_type":"application/x-zip-compressed","creator":"skoese","date_created":"2023-07-31T10:16:32Z","relation":"source_file","access_level":"closed","file_name":"Exterior Algebra and Combinatorics.zip","checksum":"96ee518d796d02af71395622c45de03c","file_id":"13333","date_updated":"2023-07-31T10:16:32Z"},{"file_size":4953418,"creator":"skoese","content_type":"application/pdf","date_created":"2023-08-03T15:28:55Z","relation":"main_file","access_level":"open_access","checksum":"f610f4713f88bc477de576aaa46b114e","file_name":"thesis-pdfa.pdf","file_id":"13480","date_updated":"2023-08-03T15:28:55Z","success":1}],"date_published":"2023-07-31T00:00:00Z","page":"26","department":[{"_id":"GradSch"},{"_id":"UlWa"}],"has_accepted_license":"1","language":[{"iso":"eng"}],"doi":"10.15479/at:ista:13331","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","article_processing_charge":"No","oa_version":"Published Version","date_updated":"2023-10-04T11:54:56Z","type":"dissertation","supervisor":[{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli","first_name":"Uli","last_name":"Wagner"}],"day":"31","degree_awarded":"MS","month":"07","date_created":"2023-07-31T10:20:55Z","status":"public","file_date_updated":"2023-08-03T15:28:55Z","publisher":"Institute of Science and Technology Austria","title":"Exterior algebra and combinatorics","_id":"13331","oa":1,"related_material":{"record":[{"id":"12680","relation":"part_of_dissertation","status":"public"}]},"ddc":["510","516"],"abstract":[{"text":"The extension of extremal combinatorics to the setting of exterior algebra is a work\r\nin progress that gained attention recently. In this thesis, we study the combinatorial structure of exterior algebra by introducing a dictionary that translates the notions from the set systems into the framework of exterior algebra. We show both generalizations of celebrated Erdös--Ko--Rado theorem and Hilton--Milner theorem to the setting of exterior algebra in the simplest non-trivial case of two-forms.\r\n","lang":"eng"}],"publication_status":"published","citation":{"apa":"Köse, S. (2023). <i>Exterior algebra and combinatorics</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:13331\">https://doi.org/10.15479/at:ista:13331</a>","mla":"Köse, Seyda. <i>Exterior Algebra and Combinatorics</i>. 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Kleshnina, (2023).","ista":"Kleshnina M. 2023. kleshnina/stochgames_info: The effect of environmental information on evolution of cooperation in stochastic games, Zenodo, <a href=\"https://doi.org/10.5281/ZENODO.8059564\">10.5281/ZENODO.8059564</a>."},"main_file_link":[{"url":"https://doi.org/10.5281/zenodo.8059564","open_access":"1"}],"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Maria","last_name":"Kleshnina","id":"4E21749C-F248-11E8-B48F-1D18A9856A87","full_name":"Kleshnina, Maria"}],"oa_version":"Published Version","type":"research_data_reference","date_updated":"2025-07-14T09:09:53Z","year":"2023","day":"20","month":"06","date_created":"2023-07-31T11:30:46Z","status":"public","date_published":"2023-06-20T00:00:00Z","publisher":"Zenodo"}]