--- _id: '179' abstract: - lang: eng text: An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariski dense subset of the biprojective hypersurface x1y21+⋯+x4y24=0 in ℙ3×ℙ3. This confirms the modified Manin conjecture for this variety, in which the removal of a thin set of rational points is allowed. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Roger full_name: Heath Brown, Roger last_name: Heath Brown citation: ama: Browning TD, Heath Brown R. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 2020;169(16):3099-3165. doi:10.1215/00127094-2020-0031 apa: Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031 chicago: Browning, Timothy D, and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal. Duke University Press, 2020. https://doi.org/10.1215/00127094-2020-0031. ieee: T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in ℙ3×ℙ3,” Duke Mathematical Journal, vol. 169, no. 16. Duke University Press, pp. 3099–3165, 2020. ista: Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165. mla: Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal, vol. 169, no. 16, Duke University Press, 2020, pp. 3099–165, doi:10.1215/00127094-2020-0031. short: T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165. date_created: 2018-12-11T11:45:02Z date_published: 2020-09-10T00:00:00Z date_updated: 2023-10-17T12:51:10Z day: '10' department: - _id: TiBr doi: 10.1215/00127094-2020-0031 external_id: arxiv: - '1805.10715' isi: - '000582676300002' intvolume: ' 169' isi: 1 issue: '16' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1805.10715 month: '09' oa: 1 oa_version: Preprint page: 3099-3165 publication: Duke Mathematical Journal publication_identifier: issn: - 0012-7094 publication_status: published publisher: Duke University Press quality_controlled: '1' status: public title: Density of rational points on a quadric bundle in ℙ3×ℙ3 type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 169 year: '2020' ... --- _id: '14125' abstract: - lang: eng text: "Motivation: Recent technological advances have led to an increase in the production and availability of single-cell data. The ability to integrate a set of multi-technology measurements would allow the identification of biologically or clinically meaningful observations through the unification of the perspectives afforded by each technology. In most cases, however, profiling technologies consume the used cells and thus pairwise correspondences between datasets are lost. Due to the sheer size single-cell datasets can acquire, scalable algorithms that are able to universally match single-cell measurements carried out in one cell to its corresponding sibling in another technology are needed.\r\nResults: We propose Single-Cell data Integration via Matching (SCIM), a scalable approach to recover such correspondences in two or more technologies. SCIM assumes that cells share a common (low-dimensional) underlying structure and that the underlying cell distribution is approximately constant across technologies. It constructs a technology-invariant latent space using an autoencoder framework with an adversarial objective. Multi-modal datasets are integrated by pairing cells across technologies using a bipartite matching scheme that operates on the low-dimensional latent representations. We evaluate SCIM on a simulated cellular branching process and show that the cell-to-cell matches derived by SCIM reflect the same pseudotime on the simulated dataset. Moreover, we apply our method to two real-world scenarios, a melanoma tumor sample and a human bone marrow sample, where we pair cells from a scRNA dataset to their sibling cells in a CyTOF dataset achieving 90% and 78% cell-matching accuracy for each one of the samples, respectively." article_processing_charge: No article_type: original author: - first_name: Stefan G full_name: Stark, Stefan G last_name: Stark - first_name: Joanna full_name: Ficek, Joanna last_name: Ficek - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Ximena full_name: Bonilla, Ximena last_name: Bonilla - first_name: Stéphane full_name: Chevrier, Stéphane last_name: Chevrier - first_name: Franziska full_name: Singer, Franziska last_name: Singer - first_name: Rudolf full_name: Aebersold, Rudolf last_name: Aebersold - first_name: Faisal S full_name: Al-Quaddoomi, Faisal S last_name: Al-Quaddoomi - first_name: Jonas full_name: Albinus, Jonas last_name: Albinus - first_name: Ilaria full_name: Alborelli, Ilaria last_name: Alborelli - first_name: Sonali full_name: Andani, Sonali last_name: Andani - first_name: Per-Olof full_name: Attinger, Per-Olof last_name: Attinger - first_name: Marina full_name: Bacac, Marina last_name: Bacac - first_name: Daniel full_name: Baumhoer, Daniel last_name: Baumhoer - first_name: Beatrice full_name: Beck-Schimmer, Beatrice last_name: Beck-Schimmer - first_name: Niko full_name: Beerenwinkel, Niko last_name: Beerenwinkel - first_name: Christian full_name: Beisel, Christian last_name: Beisel - first_name: Lara full_name: Bernasconi, Lara last_name: Bernasconi - first_name: Anne full_name: Bertolini, Anne last_name: Bertolini - first_name: Bernd full_name: Bodenmiller, Bernd last_name: Bodenmiller - first_name: Ximena full_name: Bonilla, Ximena last_name: Bonilla - first_name: Ruben full_name: Casanova, Ruben last_name: Casanova - first_name: Stéphane full_name: Chevrier, Stéphane last_name: Chevrier - first_name: Natalia full_name: Chicherova, Natalia last_name: Chicherova - first_name: Maya full_name: D'Costa, Maya last_name: D'Costa - first_name: Esther full_name: Danenberg, Esther last_name: Danenberg - first_name: Natalie full_name: Davidson, Natalie last_name: Davidson - first_name: Monica-Andreea Dră full_name: gan, Monica-Andreea Dră last_name: gan - first_name: Reinhard full_name: Dummer, Reinhard last_name: Dummer - first_name: Stefanie full_name: Engler, Stefanie last_name: Engler - first_name: Martin full_name: Erkens, Martin last_name: Erkens - first_name: Katja full_name: Eschbach, Katja last_name: Eschbach - first_name: Cinzia full_name: Esposito, Cinzia last_name: Esposito - first_name: André full_name: Fedier, André last_name: Fedier - first_name: Pedro full_name: Ferreira, Pedro last_name: Ferreira - first_name: Joanna full_name: Ficek, Joanna last_name: Ficek - first_name: Anja L full_name: Frei, Anja L last_name: Frei - first_name: Bruno full_name: Frey, Bruno last_name: Frey - first_name: Sandra full_name: Goetze, Sandra last_name: Goetze - first_name: Linda full_name: Grob, Linda last_name: Grob - first_name: Gabriele full_name: Gut, Gabriele last_name: Gut - first_name: Detlef full_name: Günther, Detlef last_name: Günther - first_name: Martina full_name: Haberecker, Martina last_name: Haberecker - first_name: Pirmin full_name: Haeuptle, Pirmin last_name: Haeuptle - first_name: Viola full_name: Heinzelmann-Schwarz, Viola last_name: Heinzelmann-Schwarz - first_name: Sylvia full_name: Herter, Sylvia last_name: Herter - first_name: Rene full_name: Holtackers, Rene last_name: Holtackers - first_name: Tamara full_name: Huesser, Tamara last_name: Huesser - first_name: Anja full_name: Irmisch, Anja last_name: Irmisch - first_name: Francis full_name: Jacob, Francis last_name: Jacob - first_name: Andrea full_name: Jacobs, Andrea last_name: Jacobs - first_name: Tim M full_name: Jaeger, Tim M last_name: Jaeger - first_name: Katharina full_name: Jahn, Katharina last_name: Jahn - first_name: Alva R full_name: James, Alva R last_name: James - first_name: Philip M full_name: Jermann, Philip M last_name: Jermann - first_name: André full_name: Kahles, André last_name: Kahles - first_name: Abdullah full_name: Kahraman, Abdullah last_name: Kahraman - first_name: Viktor H full_name: Koelzer, Viktor H last_name: Koelzer - first_name: Werner full_name: Kuebler, Werner last_name: Kuebler - first_name: Jack full_name: Kuipers, Jack last_name: Kuipers - first_name: Christian P full_name: Kunze, Christian P last_name: Kunze - first_name: Christian full_name: Kurzeder, Christian last_name: Kurzeder - first_name: Kjong-Van full_name: Lehmann, Kjong-Van last_name: Lehmann - first_name: Mitchell full_name: Levesque, Mitchell last_name: Levesque - first_name: Sebastian full_name: Lugert, Sebastian last_name: Lugert - first_name: Gerd full_name: Maass, Gerd last_name: Maass - first_name: Markus full_name: Manz, Markus last_name: Manz - first_name: Philipp full_name: Markolin, Philipp last_name: Markolin - first_name: Julien full_name: Mena, Julien last_name: Mena - first_name: Ulrike full_name: Menzel, Ulrike last_name: Menzel - first_name: Julian M full_name: Metzler, Julian M last_name: Metzler - first_name: Nicola full_name: Miglino, Nicola last_name: Miglino - first_name: Emanuela S full_name: Milani, Emanuela S last_name: Milani - first_name: Holger full_name: Moch, Holger last_name: Moch - first_name: Simone full_name: Muenst, Simone last_name: Muenst - first_name: Riccardo full_name: Murri, Riccardo last_name: Murri - first_name: Charlotte KY full_name: Ng, Charlotte KY last_name: Ng - first_name: Stefan full_name: Nicolet, Stefan last_name: Nicolet - first_name: Marta full_name: Nowak, Marta last_name: Nowak - first_name: Patrick GA full_name: Pedrioli, Patrick GA last_name: Pedrioli - first_name: Lucas full_name: Pelkmans, Lucas last_name: Pelkmans - first_name: Salvatore full_name: Piscuoglio, Salvatore last_name: Piscuoglio - first_name: Michael full_name: Prummer, Michael last_name: Prummer - first_name: Mathilde full_name: Ritter, Mathilde last_name: Ritter - first_name: Christian full_name: Rommel, Christian last_name: Rommel - first_name: María L full_name: Rosano-González, María L last_name: Rosano-González - first_name: Gunnar full_name: Rätsch, Gunnar last_name: Rätsch - first_name: Natascha full_name: Santacroce, Natascha last_name: Santacroce - first_name: Jacobo Sarabia del full_name: Castillo, Jacobo Sarabia del last_name: Castillo - first_name: Ramona full_name: Schlenker, Ramona last_name: Schlenker - first_name: Petra C full_name: Schwalie, Petra C last_name: Schwalie - first_name: Severin full_name: Schwan, Severin last_name: Schwan - first_name: Tobias full_name: Schär, Tobias last_name: Schär - first_name: Gabriela full_name: Senti, Gabriela last_name: Senti - first_name: Franziska full_name: Singer, Franziska last_name: Singer - first_name: Sujana full_name: Sivapatham, Sujana last_name: Sivapatham - first_name: Berend full_name: Snijder, Berend last_name: Snijder - first_name: Bettina full_name: Sobottka, Bettina last_name: Sobottka - first_name: Vipin T full_name: Sreedharan, Vipin T last_name: Sreedharan - first_name: Stefan full_name: Stark, Stefan last_name: Stark - first_name: Daniel J full_name: Stekhoven, Daniel J last_name: Stekhoven - first_name: Alexandre PA full_name: Theocharides, Alexandre PA last_name: Theocharides - first_name: Tinu M full_name: Thomas, Tinu M last_name: Thomas - first_name: Markus full_name: Tolnay, Markus last_name: Tolnay - first_name: Vinko full_name: Tosevski, Vinko last_name: Tosevski - first_name: Nora C full_name: Toussaint, Nora C last_name: Toussaint - first_name: Mustafa A full_name: Tuncel, Mustafa A last_name: Tuncel - first_name: Marina full_name: Tusup, Marina last_name: Tusup - first_name: Audrey Van full_name: Drogen, Audrey Van last_name: Drogen - first_name: Marcus full_name: Vetter, Marcus last_name: Vetter - first_name: Tatjana full_name: Vlajnic, Tatjana last_name: Vlajnic - first_name: Sandra full_name: Weber, Sandra last_name: Weber - first_name: Walter P full_name: Weber, Walter P last_name: Weber - first_name: Rebekka full_name: Wegmann, Rebekka last_name: Wegmann - first_name: Michael full_name: Weller, Michael last_name: Weller - first_name: Fabian full_name: Wendt, Fabian last_name: Wendt - first_name: Norbert full_name: Wey, Norbert last_name: Wey - first_name: Andreas full_name: Wicki, Andreas last_name: Wicki - first_name: Bernd full_name: Wollscheid, Bernd last_name: Wollscheid - first_name: Shuqing full_name: Yu, Shuqing last_name: Yu - first_name: Johanna full_name: Ziegler, Johanna last_name: Ziegler - first_name: Marc full_name: Zimmermann, Marc last_name: Zimmermann - first_name: Martin full_name: Zoche, Martin last_name: Zoche - first_name: Gregor full_name: Zuend, Gregor last_name: Zuend - first_name: Gunnar full_name: Rätsch, Gunnar last_name: Rätsch - first_name: Kjong-Van full_name: Lehmann, Kjong-Van last_name: Lehmann citation: ama: 'Stark SG, Ficek J, Locatello F, et al. SCIM: Universal single-cell matching with unpaired feature sets. Bioinformatics. 2020;36(Supplement_2):i919-i927. doi:10.1093/bioinformatics/btaa843' apa: 'Stark, S. G., Ficek, J., Locatello, F., Bonilla, X., Chevrier, S., Singer, F., … Lehmann, K.-V. (2020). SCIM: Universal single-cell matching with unpaired feature sets. Bioinformatics. Oxford University Press. https://doi.org/10.1093/bioinformatics/btaa843' chicago: 'Stark, Stefan G, Joanna Ficek, Francesco Locatello, Ximena Bonilla, Stéphane Chevrier, Franziska Singer, Rudolf Aebersold, et al. “SCIM: Universal Single-Cell Matching with Unpaired Feature Sets.” Bioinformatics. Oxford University Press, 2020. https://doi.org/10.1093/bioinformatics/btaa843.' ieee: 'S. G. Stark et al., “SCIM: Universal single-cell matching with unpaired feature sets,” Bioinformatics, vol. 36, no. Supplement_2. Oxford University Press, pp. i919–i927, 2020.' ista: 'Stark SG et al. 2020. SCIM: Universal single-cell matching with unpaired feature sets. Bioinformatics. 36(Supplement_2), i919–i927.' mla: 'Stark, Stefan G., et al. “SCIM: Universal Single-Cell Matching with Unpaired Feature Sets.” Bioinformatics, vol. 36, no. Supplement_2, Oxford University Press, 2020, pp. i919–27, doi:10.1093/bioinformatics/btaa843.' short: S.G. Stark, J. Ficek, F. Locatello, X. Bonilla, S. Chevrier, F. Singer, R. Aebersold, F.S. Al-Quaddoomi, J. Albinus, I. Alborelli, S. Andani, P.-O. Attinger, M. Bacac, D. Baumhoer, B. Beck-Schimmer, N. Beerenwinkel, C. Beisel, L. Bernasconi, A. Bertolini, B. Bodenmiller, X. Bonilla, R. Casanova, S. Chevrier, N. Chicherova, M. D’Costa, E. Danenberg, N. Davidson, M.-A.D. gan, R. Dummer, S. Engler, M. Erkens, K. Eschbach, C. Esposito, A. Fedier, P. Ferreira, J. Ficek, A.L. Frei, B. Frey, S. Goetze, L. Grob, G. Gut, D. Günther, M. Haberecker, P. Haeuptle, V. Heinzelmann-Schwarz, S. Herter, R. Holtackers, T. Huesser, A. Irmisch, F. Jacob, A. Jacobs, T.M. Jaeger, K. Jahn, A.R. James, P.M. Jermann, A. Kahles, A. Kahraman, V.H. Koelzer, W. Kuebler, J. Kuipers, C.P. Kunze, C. Kurzeder, K.-V. Lehmann, M. Levesque, S. Lugert, G. Maass, M. Manz, P. Markolin, J. Mena, U. Menzel, J.M. Metzler, N. Miglino, E.S. Milani, H. Moch, S. Muenst, R. Murri, C.K. Ng, S. Nicolet, M. Nowak, P.G. Pedrioli, L. Pelkmans, S. Piscuoglio, M. Prummer, M. Ritter, C. Rommel, M.L. Rosano-González, G. Rätsch, N. Santacroce, J.S. del Castillo, R. Schlenker, P.C. Schwalie, S. Schwan, T. Schär, G. Senti, F. Singer, S. Sivapatham, B. Snijder, B. Sobottka, V.T. Sreedharan, S. Stark, D.J. Stekhoven, A.P. Theocharides, T.M. Thomas, M. Tolnay, V. Tosevski, N.C. Toussaint, M.A. Tuncel, M. Tusup, A.V. Drogen, M. Vetter, T. Vlajnic, S. Weber, W.P. Weber, R. Wegmann, M. Weller, F. Wendt, N. Wey, A. Wicki, B. Wollscheid, S. Yu, J. Ziegler, M. Zimmermann, M. Zoche, G. Zuend, G. Rätsch, K.-V. Lehmann, Bioinformatics 36 (2020) i919–i927. date_created: 2023-08-21T12:28:20Z date_published: 2020-12-01T00:00:00Z date_updated: 2023-09-11T10:21:00Z day: '01' department: - _id: FrLo doi: 10.1093/bioinformatics/btaa843 extern: '1' external_id: pmid: - '33381818' intvolume: ' 36' issue: Supplement_2 keyword: - Computational Mathematics - Computational Theory and Mathematics - Computer Science Applications - Molecular Biology - Biochemistry - Statistics and Probability language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1093/bioinformatics/btaa843 month: '12' oa: 1 oa_version: Published Version page: i919-i927 pmid: 1 publication: Bioinformatics publication_identifier: eissn: - 1367-4811 publication_status: published publisher: Oxford University Press quality_controlled: '1' related_material: link: - relation: software url: https://github.com/ratschlab/scim scopus_import: '1' status: public title: 'SCIM: Universal single-cell matching with unpaired feature sets' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 36 year: '2020' ... --- _id: '14186' abstract: - lang: eng text: "The goal of the unsupervised learning of disentangled representations is to\r\nseparate the independent explanatory factors of variation in the data without\r\naccess to supervision. In this paper, we summarize the results of Locatello et\r\nal., 2019, and focus on their implications for practitioners. We discuss the\r\ntheoretical result showing that the unsupervised learning of disentangled\r\nrepresentations is fundamentally impossible without inductive biases and the\r\npractical challenges it entails. Finally, we comment on our experimental\r\nfindings, highlighting the limitations of state-of-the-art approaches and\r\ndirections for future research." article_processing_charge: No arxiv: 1 author: - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Stefan full_name: Bauer, Stefan last_name: Bauer - first_name: Mario full_name: Lucic, Mario last_name: Lucic - first_name: Gunnar full_name: Rätsch, Gunnar last_name: Rätsch - first_name: Sylvain full_name: Gelly, Sylvain last_name: Gelly - first_name: Bernhard full_name: Schölkopf, Bernhard last_name: Schölkopf - first_name: Olivier full_name: Bachem, Olivier last_name: Bachem citation: ama: 'Locatello F, Bauer S, Lucic M, et al. A commentary on the unsupervised learning of disentangled representations. In: The 34th AAAI Conference on Artificial Intelligence. Vol 34. Association for the Advancement of Artificial Intelligence; 2020:13681-13684. doi:10.1609/aaai.v34i09.7120' apa: 'Locatello, F., Bauer, S., Lucic, M., Rätsch, G., Gelly, S., Schölkopf, B., & Bachem, O. (2020). A commentary on the unsupervised learning of disentangled representations. In The 34th AAAI Conference on Artificial Intelligence (Vol. 34, pp. 13681–13684). New York, NY, United States: Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v34i09.7120' chicago: Locatello, Francesco, Stefan Bauer, Mario Lucic, Gunnar Rätsch, Sylvain Gelly, Bernhard Schölkopf, and Olivier Bachem. “A Commentary on the Unsupervised Learning of Disentangled Representations.” In The 34th AAAI Conference on Artificial Intelligence, 34:13681–84. Association for the Advancement of Artificial Intelligence, 2020. https://doi.org/10.1609/aaai.v34i09.7120. ieee: F. Locatello et al., “A commentary on the unsupervised learning of disentangled representations,” in The 34th AAAI Conference on Artificial Intelligence, New York, NY, United States, 2020, vol. 34, no. 9, pp. 13681–13684. ista: 'Locatello F, Bauer S, Lucic M, Rätsch G, Gelly S, Schölkopf B, Bachem O. 2020. A commentary on the unsupervised learning of disentangled representations. The 34th AAAI Conference on Artificial Intelligence. AAAI: Conference on Artificial Intelligence vol. 34, 13681–13684.' mla: Locatello, Francesco, et al. “A Commentary on the Unsupervised Learning of Disentangled Representations.” The 34th AAAI Conference on Artificial Intelligence, vol. 34, no. 9, Association for the Advancement of Artificial Intelligence, 2020, pp. 13681–84, doi:10.1609/aaai.v34i09.7120. short: F. Locatello, S. Bauer, M. Lucic, G. Rätsch, S. Gelly, B. Schölkopf, O. Bachem, in:, The 34th AAAI Conference on Artificial Intelligence, Association for the Advancement of Artificial Intelligence, 2020, pp. 13681–13684. conference: end_date: 2020-02-12 location: New York, NY, United States name: 'AAAI: Conference on Artificial Intelligence' start_date: 2020-02-07 date_created: 2023-08-22T14:07:26Z date_published: 2020-07-28T00:00:00Z date_updated: 2023-09-12T07:44:48Z day: '28' department: - _id: FrLo doi: 10.1609/aaai.v34i09.7120 extern: '1' external_id: arxiv: - '2007.14184' intvolume: ' 34' issue: '9' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2007.14184 month: '07' oa: 1 oa_version: Preprint page: 13681-13684 publication: The 34th AAAI Conference on Artificial Intelligence publication_identifier: eissn: - 2374-3468 isbn: - '9781577358350' publication_status: published publisher: Association for the Advancement of Artificial Intelligence quality_controlled: '1' scopus_import: '1' status: public title: A commentary on the unsupervised learning of disentangled representations type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 34 year: '2020' ... --- _id: '14187' abstract: - lang: eng text: "We propose a novel Stochastic Frank-Wolfe (a.k.a. conditional gradient)\r\nalgorithm for constrained smooth finite-sum minimization with a generalized\r\nlinear prediction/structure. This class of problems includes empirical risk\r\nminimization with sparse, low-rank, or other structured constraints. The\r\nproposed method is simple to implement, does not require step-size tuning, and\r\nhas a constant per-iteration cost that is independent of the dataset size.\r\nFurthermore, as a byproduct of the method we obtain a stochastic estimator of\r\nthe Frank-Wolfe gap that can be used as a stopping criterion. Depending on the\r\nsetting, the proposed method matches or improves on the best computational\r\nguarantees for Stochastic Frank-Wolfe algorithms. Benchmarks on several\r\ndatasets highlight different regimes in which the proposed method exhibits a\r\nfaster empirical convergence than related methods. Finally, we provide an\r\nimplementation of all considered methods in an open-source package." alternative_title: - PMLR article_processing_charge: No arxiv: 1 author: - first_name: Geoffrey full_name: Négiar, Geoffrey last_name: Négiar - first_name: Gideon full_name: Dresdner, Gideon last_name: Dresdner - first_name: Alicia full_name: Tsai, Alicia last_name: Tsai - first_name: Laurent El full_name: Ghaoui, Laurent El last_name: Ghaoui - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Robert M. full_name: Freund, Robert M. last_name: Freund - first_name: Fabian full_name: Pedregosa, Fabian last_name: Pedregosa citation: ama: 'Négiar G, Dresdner G, Tsai A, et al. Stochastic Frank-Wolfe for constrained finite-sum minimization. In: Proceedings of the 37th International Conference on Machine Learning. Vol 119. ; 2020:7253-7262.' apa: Négiar, G., Dresdner, G., Tsai, A., Ghaoui, L. E., Locatello, F., Freund, R. M., & Pedregosa, F. (2020). Stochastic Frank-Wolfe for constrained finite-sum minimization. In Proceedings of the 37th International Conference on Machine Learning (Vol. 119, pp. 7253–7262). Virtual. chicago: Négiar, Geoffrey, Gideon Dresdner, Alicia Tsai, Laurent El Ghaoui, Francesco Locatello, Robert M. Freund, and Fabian Pedregosa. “Stochastic Frank-Wolfe for Constrained Finite-Sum Minimization.” In Proceedings of the 37th International Conference on Machine Learning, 119:7253–62, 2020. ieee: G. Négiar et al., “Stochastic Frank-Wolfe for constrained finite-sum minimization,” in Proceedings of the 37th International Conference on Machine Learning, Virtual, 2020, vol. 119, pp. 7253–7262. ista: Négiar G, Dresdner G, Tsai A, Ghaoui LE, Locatello F, Freund RM, Pedregosa F. 2020. Stochastic Frank-Wolfe for constrained finite-sum minimization. Proceedings of the 37th International Conference on Machine Learning. International Conference on Machine Learning, PMLR, vol. 119, 7253–7262. mla: Négiar, Geoffrey, et al. “Stochastic Frank-Wolfe for Constrained Finite-Sum Minimization.” Proceedings of the 37th International Conference on Machine Learning, vol. 119, 2020, pp. 7253–62. short: G. Négiar, G. Dresdner, A. Tsai, L.E. Ghaoui, F. Locatello, R.M. Freund, F. Pedregosa, in:, Proceedings of the 37th International Conference on Machine Learning, 2020, pp. 7253–7262. conference: end_date: 2020-07-18 location: Virtual name: International Conference on Machine Learning start_date: 2020-07-13 date_created: 2023-08-22T14:07:52Z date_published: 2020-07-27T00:00:00Z date_updated: 2023-09-12T08:03:40Z day: '27' department: - _id: FrLo extern: '1' external_id: arxiv: - '2002.11860' intvolume: ' 119' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2002.11860 month: '07' oa: 1 oa_version: Preprint page: 7253-7262 publication: Proceedings of the 37th International Conference on Machine Learning publication_status: published quality_controlled: '1' status: public title: Stochastic Frank-Wolfe for constrained finite-sum minimization type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 119 year: '2020' ... --- _id: '14188' abstract: - lang: eng text: "Intelligent agents should be able to learn useful representations by\r\nobserving changes in their environment. We model such observations as pairs of\r\nnon-i.i.d. images sharing at least one of the underlying factors of variation.\r\nFirst, we theoretically show that only knowing how many factors have changed,\r\nbut not which ones, is sufficient to learn disentangled representations.\r\nSecond, we provide practical algorithms that learn disentangled representations\r\nfrom pairs of images without requiring annotation of groups, individual\r\nfactors, or the number of factors that have changed. Third, we perform a\r\nlarge-scale empirical study and show that such pairs of observations are\r\nsufficient to reliably learn disentangled representations on several benchmark\r\ndata sets. Finally, we evaluate our learned representations and find that they\r\nare simultaneously useful on a diverse suite of tasks, including generalization\r\nunder covariate shifts, fairness, and abstract reasoning. Overall, our results\r\ndemonstrate that weak supervision enables learning of useful disentangled\r\nrepresentations in realistic scenarios." alternative_title: - PMLR article_processing_charge: No arxiv: 1 author: - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Ben full_name: Poole, Ben last_name: Poole - first_name: Gunnar full_name: Rätsch, Gunnar last_name: Rätsch - first_name: Bernhard full_name: Schölkopf, Bernhard last_name: Schölkopf - first_name: Olivier full_name: Bachem, Olivier last_name: Bachem - first_name: Michael full_name: Tschannen, Michael last_name: Tschannen citation: ama: 'Locatello F, Poole B, Rätsch G, Schölkopf B, Bachem O, Tschannen M. Weakly-supervised disentanglement without compromises. In: Proceedings of the 37th International Conference on Machine Learning. Vol 119. ; 2020:6348–6359.' apa: Locatello, F., Poole, B., Rätsch, G., Schölkopf, B., Bachem, O., & Tschannen, M. (2020). Weakly-supervised disentanglement without compromises. In Proceedings of the 37th International Conference on Machine Learning (Vol. 119, pp. 6348–6359). Virtual. chicago: Locatello, Francesco, Ben Poole, Gunnar Rätsch, Bernhard Schölkopf, Olivier Bachem, and Michael Tschannen. “Weakly-Supervised Disentanglement without Compromises.” In Proceedings of the 37th International Conference on Machine Learning, 119:6348–6359, 2020. ieee: F. Locatello, B. Poole, G. Rätsch, B. Schölkopf, O. Bachem, and M. Tschannen, “Weakly-supervised disentanglement without compromises,” in Proceedings of the 37th International Conference on Machine Learning, Virtual, 2020, vol. 119, pp. 6348–6359. ista: Locatello F, Poole B, Rätsch G, Schölkopf B, Bachem O, Tschannen M. 2020. Weakly-supervised disentanglement without compromises. Proceedings of the 37th International Conference on Machine Learning. International Conference on Machine Learning, PMLR, vol. 119, 6348–6359. mla: Locatello, Francesco, et al. “Weakly-Supervised Disentanglement without Compromises.” Proceedings of the 37th International Conference on Machine Learning, vol. 119, 2020, pp. 6348–6359. short: F. Locatello, B. Poole, G. Rätsch, B. Schölkopf, O. Bachem, M. Tschannen, in:, Proceedings of the 37th International Conference on Machine Learning, 2020, pp. 6348–6359. conference: end_date: 2020-07-18 location: Virtual name: International Conference on Machine Learning start_date: 2020-07-13 date_created: 2023-08-22T14:08:14Z date_published: 2020-07-07T00:00:00Z date_updated: 2023-09-12T07:59:29Z day: '07' department: - _id: FrLo extern: '1' external_id: arxiv: - '2002.02886' intvolume: ' 119' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2002.02886 month: '07' oa: 1 oa_version: Preprint page: 6348–6359 publication: Proceedings of the 37th International Conference on Machine Learning publication_status: published quality_controlled: '1' scopus_import: '1' status: public title: Weakly-supervised disentanglement without compromises type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 119 year: '2020' ... --- _id: '14195' abstract: - lang: eng text: "The idea behind the unsupervised learning of disentangled representations is that real-world data is generated by a few explanatory factors of variation which can be recovered by unsupervised learning algorithms. In this paper, we provide a sober look at recent progress in the field and challenge some common assumptions. We first theoretically show that the unsupervised learning of disentangled representations is fundamentally impossible without inductive biases on both the models and the data. Then, we train over 14000\r\n models covering most prominent methods and evaluation metrics in a reproducible large-scale experimental study on eight data sets. We observe that while the different methods successfully enforce properties “encouraged” by the corresponding losses, well-disentangled models seemingly cannot be identified without supervision. Furthermore, different evaluation metrics do not always agree on what should be considered “disentangled” and exhibit systematic differences in the estimation. Finally, increased disentanglement does not seem to necessarily lead to a decreased sample complexity of learning for downstream tasks. Our results suggest that future work on disentanglement learning should be explicit about the role of inductive biases and (implicit) supervision, investigate concrete benefits of enforcing disentanglement of the learned representations, and consider a reproducible experimental setup covering several data sets." article_number: '209' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Stefan full_name: Bauer, Stefan last_name: Bauer - first_name: Mario full_name: Lucic, Mario last_name: Lucic - first_name: Gunnar full_name: Rätsch, Gunnar last_name: Rätsch - first_name: Sylvain full_name: Gelly, Sylvain last_name: Gelly - first_name: Bernhard full_name: Schölkopf, Bernhard last_name: Schölkopf - first_name: Olivier full_name: Bachem, Olivier last_name: Bachem citation: ama: Locatello F, Bauer S, Lucic M, et al. A sober look at the unsupervised learning of disentangled representations and their evaluation. Journal of Machine Learning Research. 2020;21. apa: Locatello, F., Bauer, S., Lucic, M., Rätsch, G., Gelly, S., Schölkopf, B., & Bachem, O. (2020). A sober look at the unsupervised learning of disentangled representations and their evaluation. Journal of Machine Learning Research. MIT Press. chicago: Locatello, Francesco, Stefan Bauer, Mario Lucic, Gunnar Rätsch, Sylvain Gelly, Bernhard Schölkopf, and Olivier Bachem. “A Sober Look at the Unsupervised Learning of Disentangled Representations and Their Evaluation.” Journal of Machine Learning Research. MIT Press, 2020. ieee: F. Locatello et al., “A sober look at the unsupervised learning of disentangled representations and their evaluation,” Journal of Machine Learning Research, vol. 21. MIT Press, 2020. ista: Locatello F, Bauer S, Lucic M, Rätsch G, Gelly S, Schölkopf B, Bachem O. 2020. A sober look at the unsupervised learning of disentangled representations and their evaluation. Journal of Machine Learning Research. 21, 209. mla: Locatello, Francesco, et al. “A Sober Look at the Unsupervised Learning of Disentangled Representations and Their Evaluation.” Journal of Machine Learning Research, vol. 21, 209, MIT Press, 2020. short: F. Locatello, S. Bauer, M. Lucic, G. Rätsch, S. Gelly, B. Schölkopf, O. Bachem, Journal of Machine Learning Research 21 (2020). date_created: 2023-08-22T14:10:34Z date_published: 2020-09-01T00:00:00Z date_updated: 2023-09-12T09:23:56Z day: '01' ddc: - '000' department: - _id: FrLo extern: '1' external_id: arxiv: - '2010.14766' has_accepted_license: '1' intvolume: ' 21' language: - iso: eng main_file_link: - open_access: '1' url: https://jmlr.csail.mit.edu/papers/v21/19-976.html month: '09' oa: 1 oa_version: Published Version publication: Journal of Machine Learning Research publication_status: published publisher: MIT Press quality_controlled: '1' scopus_import: '1' status: public title: A sober look at the unsupervised learning of disentangled representations and their evaluation tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 21 year: '2020' ... --- _id: '14326' abstract: - lang: eng text: "Learning object-centric representations of complex scenes is a promising step towards enabling efficient abstract reasoning from low-level perceptual features. Yet, most deep learning approaches learn distributed representations that do not capture the compositional properties of natural scenes. In this paper, we present the Slot Attention module, an architectural component that interfaces with perceptual representations such as the output of a convolutional neural network and produces a set of task-dependent abstract representations which we call slots. These slots are exchangeable and can bind to any object in the input by specializing through a competitive procedure over multiple rounds of attention. We empirically demonstrate that Slot Attention can extract object-centric representations that enable generalization to unseen compositions when trained on unsupervised object discovery and supervised property prediction tasks.\r\n\r\n" article_processing_charge: No arxiv: 1 author: - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Dirk full_name: Weissenborn, Dirk last_name: Weissenborn - first_name: Thomas full_name: Unterthiner, Thomas last_name: Unterthiner - first_name: Aravindh full_name: Mahendran, Aravindh last_name: Mahendran - first_name: Georg full_name: Heigold, Georg last_name: Heigold - first_name: Jakob full_name: Uszkoreit, Jakob last_name: Uszkoreit - first_name: Alexey full_name: Dosovitskiy, Alexey last_name: Dosovitskiy - first_name: Thomas full_name: Kipf, Thomas last_name: Kipf citation: ama: 'Locatello F, Weissenborn D, Unterthiner T, et al. Object-centric learning with slot attention. In: Advances in Neural Information Processing Systems. Vol 33. Curran Associates; 2020:11525-11538.' apa: 'Locatello, F., Weissenborn, D., Unterthiner, T., Mahendran, A., Heigold, G., Uszkoreit, J., … Kipf, T. (2020). Object-centric learning with slot attention. In Advances in Neural Information Processing Systems (Vol. 33, pp. 11525–11538). Virtual: Curran Associates.' chicago: Locatello, Francesco, Dirk Weissenborn, Thomas Unterthiner, Aravindh Mahendran, Georg Heigold, Jakob Uszkoreit, Alexey Dosovitskiy, and Thomas Kipf. “Object-Centric Learning with Slot Attention.” In Advances in Neural Information Processing Systems, 33:11525–38. Curran Associates, 2020. ieee: F. Locatello et al., “Object-centric learning with slot attention,” in Advances in Neural Information Processing Systems, Virtual, 2020, vol. 33, pp. 11525–11538. ista: 'Locatello F, Weissenborn D, Unterthiner T, Mahendran A, Heigold G, Uszkoreit J, Dosovitskiy A, Kipf T. 2020. Object-centric learning with slot attention. Advances in Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems vol. 33, 11525–11538.' mla: Locatello, Francesco, et al. “Object-Centric Learning with Slot Attention.” Advances in Neural Information Processing Systems, vol. 33, Curran Associates, 2020, pp. 11525–38. short: F. Locatello, D. Weissenborn, T. Unterthiner, A. Mahendran, G. Heigold, J. Uszkoreit, A. Dosovitskiy, T. Kipf, in:, Advances in Neural Information Processing Systems, Curran Associates, 2020, pp. 11525–11538. conference: end_date: 2020-12-12 location: Virtual name: 'NeurIPS: Neural Information Processing Systems' start_date: 2020-12-06 date_created: 2023-09-13T12:03:46Z date_published: 2020-01-01T00:00:00Z date_updated: 2023-09-13T12:19:19Z department: - _id: FrLo extern: '1' external_id: arxiv: - '2006.15055' intvolume: ' 33' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2006.15055 oa: 1 oa_version: Preprint page: 11525-11538 publication: Advances in Neural Information Processing Systems publication_identifier: isbn: - '9781713829546' publication_status: published publisher: Curran Associates quality_controlled: '1' status: public title: Object-centric learning with slot attention type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 33 year: '2020' ... --- _id: '14592' abstract: - lang: eng text: Cryo-electron microscopy (cryo-EM) of cellular specimens provides insights into biological processes and structures within a native context. However, a major challenge still lies in the efficient and reproducible preparation of adherent cells for subsequent cryo-EM analysis. This is due to the sensitivity of many cellular specimens to the varying seeding and culturing conditions required for EM experiments, the often limited amount of cellular material and also the fragility of EM grids and their substrate. Here, we present low-cost and reusable 3D printed grid holders, designed to improve specimen preparation when culturing challenging cellular samples directly on grids. The described grid holders increase cell culture reproducibility and throughput, and reduce the resources required for cell culturing. We show that grid holders can be integrated into various cryo-EM workflows, including micro-patterning approaches to control cell seeding on grids, and for generating samples for cryo-focused ion beam milling and cryo-electron tomography experiments. Their adaptable design allows for the generation of specialized grid holders customized to a large variety of applications. article_processing_charge: No author: - first_name: Florian KM full_name: Schur, Florian KM id: 48AD8942-F248-11E8-B48F-1D18A9856A87 last_name: Schur orcid: 0000-0003-4790-8078 citation: ama: Schur FK. STL-files for 3D-printed grid holders described in  Fäßler F, Zens B, et al.; 3D printed cell culture grid holders for improved cellular specimen preparation in cryo-electron microscopy. 2020. doi:10.15479/AT:ISTA:14592 apa: Schur, F. K. (2020). STL-files for 3D-printed grid holders described in  Fäßler F, Zens B, et al.; 3D printed cell culture grid holders for improved cellular specimen preparation in cryo-electron microscopy. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:14592 chicago: Schur, Florian KM. “STL-Files for 3D-Printed Grid Holders Described in  Fäßler F, Zens B, et Al.; 3D Printed Cell Culture Grid Holders for Improved Cellular Specimen Preparation in Cryo-Electron Microscopy.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:14592. ieee: F. K. Schur, “STL-files for 3D-printed grid holders described in  Fäßler F, Zens B, et al.; 3D printed cell culture grid holders for improved cellular specimen preparation in cryo-electron microscopy.” Institute of Science and Technology Austria, 2020. ista: Schur FK. 2020. STL-files for 3D-printed grid holders described in  Fäßler F, Zens B, et al.; 3D printed cell culture grid holders for improved cellular specimen preparation in cryo-electron microscopy, Institute of Science and Technology Austria, 10.15479/AT:ISTA:14592. mla: Schur, Florian KM. STL-Files for 3D-Printed Grid Holders Described in  Fäßler F, Zens B, et Al.; 3D Printed Cell Culture Grid Holders for Improved Cellular Specimen Preparation in Cryo-Electron Microscopy. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:14592. short: F.K. Schur, (2020). contributor: - contributor_type: researcher first_name: Florian id: 404F5528-F248-11E8-B48F-1D18A9856A87 last_name: Fäßler orcid: 0000-0001-7149-769X - contributor_type: researcher first_name: Bettina id: 45FD126C-F248-11E8-B48F-1D18A9856A87 last_name: Zens - contributor_type: researcher first_name: Robert id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87 last_name: Hauschild - contributor_type: researcher first_name: Florian KM id: 48AD8942-F248-11E8-B48F-1D18A9856A87 last_name: Schur orcid: 0000-0003-4790-8078 date_created: 2023-11-22T15:00:57Z date_published: 2020-12-01T00:00:00Z date_updated: 2024-02-21T12:44:48Z day: '01' ddc: - '570' department: - _id: FlSc doi: 10.15479/AT:ISTA:14592 file: - access_level: open_access checksum: 0108616e2a59e51879ea51299a29b091 content_type: application/zip creator: fschur date_created: 2023-11-22T14:58:44Z date_updated: 2023-11-22T14:58:44Z file_id: '14593' file_name: 3Dprint-files_download_v2.zip file_size: 49297 relation: main_file success: 1 - access_level: open_access checksum: 4c66ddedee4d01c1c4a7978208350cfc content_type: text/plain creator: cchlebak date_created: 2023-12-01T10:39:59Z date_updated: 2023-12-01T10:39:59Z file_id: '14637' file_name: readme.txt file_size: 641 relation: main_file success: 1 file_date_updated: 2023-12-01T10:39:59Z has_accepted_license: '1' license: https://creativecommons.org/licenses/by-nc-sa/4.0/ month: '12' oa: 1 oa_version: Published Version project: - _id: 9B954C5C-BA93-11EA-9121-9846C619BF3A grant_number: P33367 name: Structure and isoform diversity of the Arp2/3 complex publisher: Institute of Science and Technology Austria related_material: record: - id: '8586' relation: research_data status: public status: public title: STL-files for 3D-printed grid holders described in Fäßler F, Zens B, et al.; 3D printed cell culture grid holders for improved cellular specimen preparation in cryo-electron microscopy tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: research_data user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '14694' abstract: - lang: eng text: We study the unique solution m of the Dyson equation \( -m(z)^{-1} = z\1 - a + S[m(z)] \) on a von Neumann algebra A with the constraint Imm≥0. Here, z lies in the complex upper half-plane, a is a self-adjoint element of A and S is a positivity-preserving linear operator on A. We show that m is the Stieltjes transform of a compactly supported A-valued measure on R. Under suitable assumptions, we establish that this measure has a uniformly 1/3-Hölder continuous density with respect to the Lebesgue measure, which is supported on finitely many intervals, called bands. In fact, the density is analytic inside the bands with a square-root growth at the edges and internal cubic root cusps whenever the gap between two bands vanishes. The shape of these singularities is universal and no other singularity may occur. We give a precise asymptotic description of m near the singular points. These asymptotics generalize the analysis at the regular edges given in the companion paper on the Tracy-Widom universality for the edge eigenvalue statistics for correlated random matrices [the first author et al., Ann. Probab. 48, No. 2, 963--1001 (2020; Zbl 1434.60017)] and they play a key role in the proof of the Pearcey universality at the cusp for Wigner-type matrices [G. Cipolloni et al., Pure Appl. Anal. 1, No. 4, 615--707 (2019; Zbl 07142203); the second author et al., Commun. Math. Phys. 378, No. 2, 1203--1278 (2020; Zbl 07236118)]. We also extend the finite dimensional band mass formula from [the first author et al., loc. cit.] to the von Neumann algebra setting by showing that the spectral mass of the bands is topologically rigid under deformations and we conclude that these masses are quantized in some important cases. article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Johannes full_name: Alt, Johannes id: 36D3D8B6-F248-11E8-B48F-1D18A9856A87 last_name: Alt - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Torben H full_name: Krüger, Torben H id: 3020C786-F248-11E8-B48F-1D18A9856A87 last_name: Krüger orcid: 0000-0002-4821-3297 citation: ama: 'Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. 2020;25:1421-1539. doi:10.4171/dm/780' apa: 'Alt, J., Erdös, L., & Krüger, T. H. (2020). The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. EMS Press. https://doi.org/10.4171/dm/780' chicago: 'Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps.” Documenta Mathematica. EMS Press, 2020. https://doi.org/10.4171/dm/780.' ieee: 'J. Alt, L. Erdös, and T. H. Krüger, “The Dyson equation with linear self-energy: Spectral bands, edges and cusps,” Documenta Mathematica, vol. 25. EMS Press, pp. 1421–1539, 2020.' ista: 'Alt J, Erdös L, Krüger TH. 2020. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. 25, 1421–1539.' mla: 'Alt, Johannes, et al. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps.” Documenta Mathematica, vol. 25, EMS Press, 2020, pp. 1421–539, doi:10.4171/dm/780.' short: J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539. date_created: 2023-12-18T10:37:43Z date_published: 2020-09-01T00:00:00Z date_updated: 2023-12-18T10:46:09Z day: '01' ddc: - '510' department: - _id: LaEr doi: 10.4171/dm/780 external_id: arxiv: - '1804.07752' file: - access_level: open_access checksum: 12aacc1d63b852ff9a51c1f6b218d4a6 content_type: application/pdf creator: dernst date_created: 2023-12-18T10:42:32Z date_updated: 2023-12-18T10:42:32Z file_id: '14695' file_name: 2020_DocumentaMathematica_Alt.pdf file_size: 1374708 relation: main_file success: 1 file_date_updated: 2023-12-18T10:42:32Z has_accepted_license: '1' intvolume: ' 25' keyword: - General Mathematics language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 1421-1539 publication: Documenta Mathematica publication_identifier: eissn: - 1431-0643 issn: - 1431-0635 publication_status: published publisher: EMS Press quality_controlled: '1' related_material: record: - id: '6183' relation: earlier_version status: public status: public title: 'The Dyson equation with linear self-energy: Spectral bands, edges and cusps' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 25 year: '2020' ... --- _id: '5681' abstract: - lang: eng text: 'We introduce dynamically warping grids for adaptive liquid simulation. Our primary contributions are a strategy for dynamically deforming regular grids over the course of a simulation and a method for efficiently utilizing these deforming grids for liquid simulation. Prior work has shown that unstructured grids are very effective for adaptive fluid simulations. However, unstructured grids often lead to complicated implementations and a poor cache hit rate due to inconsistent memory access. Regular grids, on the other hand, provide a fast, fixed memory access pattern and straightforward implementation. Our method combines the advantages of both: we leverage the simplicity of regular grids while still achieving practical and controllable spatial adaptivity. We demonstrate that our method enables adaptive simulations that are fast, flexible, and robust to null-space issues. At the same time, our method is simple to implement and takes advantage of existing highly-tuned algorithms.' acknowledged_ssus: - _id: ScienComp acknowledgement: This work was partially supported by JSPS Grant-in-Aid forYoung Scientists (Start-up) 16H07410, the ERC StartingGrantsrealFlow(StG-2015-637014) andBigSplash(StG-2014-638176). This research was supported by the Scientific Ser-vice Units (SSU) of IST Austria through resources providedby Scientific Computing. We would like to express my grati-tude to Nobuyuki Umetani and Tomas Skrivan for insight-ful discussion. article_processing_charge: No article_type: original author: - first_name: Ibayashi full_name: Hikaru, Ibayashi last_name: Hikaru - first_name: Christopher J full_name: Wojtan, Christopher J id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87 last_name: Wojtan orcid: 0000-0001-6646-5546 - first_name: Nils full_name: Thuerey, Nils last_name: Thuerey - first_name: Takeo full_name: Igarashi, Takeo last_name: Igarashi - first_name: Ryoichi full_name: Ando, Ryoichi last_name: Ando citation: ama: Hikaru I, Wojtan C, Thuerey N, Igarashi T, Ando R. Simulating liquids on dynamically warping grids. IEEE Transactions on Visualization and Computer Graphics. 2020;26(6):2288-2302. doi:10.1109/TVCG.2018.2883628 apa: Hikaru, I., Wojtan, C., Thuerey, N., Igarashi, T., & Ando, R. (2020). Simulating liquids on dynamically warping grids. IEEE Transactions on Visualization and Computer Graphics. IEEE. https://doi.org/10.1109/TVCG.2018.2883628 chicago: Hikaru, Ibayashi, Chris Wojtan, Nils Thuerey, Takeo Igarashi, and Ryoichi Ando. “Simulating Liquids on Dynamically Warping Grids.” IEEE Transactions on Visualization and Computer Graphics. IEEE, 2020. https://doi.org/10.1109/TVCG.2018.2883628. ieee: I. Hikaru, C. Wojtan, N. Thuerey, T. Igarashi, and R. Ando, “Simulating liquids on dynamically warping grids,” IEEE Transactions on Visualization and Computer Graphics, vol. 26, no. 6. IEEE, pp. 2288–2302, 2020. ista: Hikaru I, Wojtan C, Thuerey N, Igarashi T, Ando R. 2020. Simulating liquids on dynamically warping grids. IEEE Transactions on Visualization and Computer Graphics. 26(6), 2288–2302. mla: Hikaru, Ibayashi, et al. “Simulating Liquids on Dynamically Warping Grids.” IEEE Transactions on Visualization and Computer Graphics, vol. 26, no. 6, IEEE, 2020, pp. 2288–302, doi:10.1109/TVCG.2018.2883628. short: I. Hikaru, C. Wojtan, N. Thuerey, T. Igarashi, R. Ando, IEEE Transactions on Visualization and Computer Graphics 26 (2020) 2288–2302. date_created: 2018-12-16T22:59:21Z date_published: 2020-06-01T00:00:00Z date_updated: 2023-09-18T09:30:01Z day: '01' ddc: - '006' department: - _id: ChWo doi: 10.1109/TVCG.2018.2883628 external_id: isi: - '000532295600014' pmid: - '30507534' file: - access_level: open_access checksum: 8d4c55443a0ee335bb5bb652de503042 content_type: application/pdf creator: wojtan date_created: 2020-10-08T08:34:53Z date_updated: 2020-10-08T08:34:53Z file_id: '8626' file_name: preprint.pdf file_size: 21910098 relation: main_file success: 1 file_date_updated: 2020-10-08T08:34:53Z has_accepted_license: '1' intvolume: ' 26' isi: 1 issue: '6' language: - iso: eng month: '06' oa: 1 oa_version: Submitted Version page: 2288-2302 pmid: 1 publication: IEEE Transactions on Visualization and Computer Graphics publication_identifier: eissn: - '19410506' issn: - '10772626' publication_status: published publisher: IEEE quality_controlled: '1' scopus_import: '1' status: public title: Simulating liquids on dynamically warping grids type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 26 year: '2020' ... --- _id: '6184' abstract: - lang: eng text: We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wigner matrices with arbitrary expectation. Our theorem also applies to internal edges of the self-consistent density of states. In particular, we establish a strong form of band rigidity which excludes mismatches between location and label of eigenvalues close to internal edges in these general models. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Johannes full_name: Alt, Johannes id: 36D3D8B6-F248-11E8-B48F-1D18A9856A87 last_name: Alt - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Torben H full_name: Krüger, Torben H id: 3020C786-F248-11E8-B48F-1D18A9856A87 last_name: Krüger orcid: 0000-0002-4821-3297 - first_name: Dominik J full_name: Schröder, Dominik J id: 408ED176-F248-11E8-B48F-1D18A9856A87 last_name: Schröder orcid: 0000-0002-2904-1856 citation: ama: 'Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 2020;48(2):963-1001. doi:10.1214/19-AOP1379' apa: 'Alt, J., Erdös, L., Krüger, T. H., & Schröder, D. J. (2020). Correlated random matrices: Band rigidity and edge universality. Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/19-AOP1379' chicago: 'Alt, Johannes, László Erdös, Torben H Krüger, and Dominik J Schröder. “Correlated Random Matrices: Band Rigidity and Edge Universality.” Annals of Probability. Institute of Mathematical Statistics, 2020. https://doi.org/10.1214/19-AOP1379.' ieee: 'J. Alt, L. Erdös, T. H. Krüger, and D. J. Schröder, “Correlated random matrices: Band rigidity and edge universality,” Annals of Probability, vol. 48, no. 2. Institute of Mathematical Statistics, pp. 963–1001, 2020.' ista: 'Alt J, Erdös L, Krüger TH, Schröder DJ. 2020. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 48(2), 963–1001.' mla: 'Alt, Johannes, et al. “Correlated Random Matrices: Band Rigidity and Edge Universality.” Annals of Probability, vol. 48, no. 2, Institute of Mathematical Statistics, 2020, pp. 963–1001, doi:10.1214/19-AOP1379.' short: J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001. date_created: 2019-03-28T09:20:08Z date_published: 2020-03-01T00:00:00Z date_updated: 2024-02-22T14:34:33Z day: '01' department: - _id: LaEr doi: 10.1214/19-AOP1379 ec_funded: 1 external_id: arxiv: - '1804.07744' isi: - '000528269100013' intvolume: ' 48' isi: 1 issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1804.07744 month: '03' oa: 1 oa_version: Preprint page: 963-1001 project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems publication: Annals of Probability publication_identifier: issn: - 0091-1798 publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' related_material: record: - id: '149' relation: dissertation_contains status: public - id: '6179' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Correlated random matrices: Band rigidity and edge universality' type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 48 year: '2020' ... --- _id: '6185' abstract: - lang: eng text: For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue statistics are universal and form a Pearcey process. Since the density of states typically exhibits only square root or cubic root cusp singularities, our work complements previous results on the bulk and edge universality and it thus completes the resolution of the Wigner–Dyson–Mehta universality conjecture for the last remaining universality type in the complex Hermitian class. Our analysis holds not only for exact cusps, but approximate cusps as well, where an extended Pearcey process emerges. As a main technical ingredient we prove an optimal local law at the cusp for both symmetry classes. This result is also the key input in the companion paper (Cipolloni et al. in Pure Appl Anal, 2018. arXiv:1811.04055) where the cusp universality for real symmetric Wigner-type matrices is proven. The novel cusp fluctuation mechanism is also essential for the recent results on the spectral radius of non-Hermitian random matrices (Alt et al. in Spectral radius of random matrices with independent entries, 2019. arXiv:1907.13631), and the non-Hermitian edge universality (Cipolloni et al. in Edge universality for non-Hermitian random matrices, 2019. arXiv:1908.00969). acknowledgement: Open access funding provided by Institute of Science and Technology (IST Austria). The authors are very grateful to Johannes Alt for numerous discussions on the Dyson equation and for his invaluable help in adjusting [10] to the needs of the present work. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Torben H full_name: Krüger, Torben H id: 3020C786-F248-11E8-B48F-1D18A9856A87 last_name: Krüger orcid: 0000-0002-4821-3297 - first_name: Dominik J full_name: Schröder, Dominik J id: 408ED176-F248-11E8-B48F-1D18A9856A87 last_name: Schröder orcid: 0000-0002-2904-1856 citation: ama: 'Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. 2020;378:1203-1278. doi:10.1007/s00220-019-03657-4' apa: 'Erdös, L., Krüger, T. H., & Schröder, D. J. (2020). Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03657-4' chicago: 'Erdös, László, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03657-4.' ieee: 'L. Erdös, T. H. Krüger, and D. J. Schröder, “Cusp universality for random matrices I: Local law and the complex Hermitian case,” Communications in Mathematical Physics, vol. 378. Springer Nature, pp. 1203–1278, 2020.' ista: 'Erdös L, Krüger TH, Schröder DJ. 2020. Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. 378, 1203–1278.' mla: 'Erdös, László, et al. “Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case.” Communications in Mathematical Physics, vol. 378, Springer Nature, 2020, pp. 1203–78, doi:10.1007/s00220-019-03657-4.' short: L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics 378 (2020) 1203–1278. date_created: 2019-03-28T10:21:15Z date_published: 2020-09-01T00:00:00Z date_updated: 2023-09-07T12:54:12Z day: '01' ddc: - '530' - '510' department: - _id: LaEr doi: 10.1007/s00220-019-03657-4 ec_funded: 1 external_id: arxiv: - '1809.03971' isi: - '000529483000001' file: - access_level: open_access checksum: c3a683e2afdcea27afa6880b01e53dc2 content_type: application/pdf creator: dernst date_created: 2020-11-18T11:14:37Z date_updated: 2020-11-18T11:14:37Z file_id: '8771' file_name: 2020_CommMathPhysics_Erdoes.pdf file_size: 2904574 relation: main_file success: 1 file_date_updated: 2020-11-18T11:14:37Z has_accepted_license: '1' intvolume: ' 378' isi: 1 language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 1203-1278 project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Communications in Mathematical Physics publication_identifier: eissn: - 1432-0916 issn: - 0010-3616 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '6179' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Cusp universality for random matrices I: Local law and the complex Hermitian case' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 378 year: '2020' ... --- _id: '6358' abstract: - lang: eng text: We study dynamical optimal transport metrics between density matricesassociated to symmetric Dirichlet forms on finite-dimensional C∗-algebras. Our settingcovers arbitrary skew-derivations and it provides a unified framework that simultaneously generalizes recently constructed transport metrics for Markov chains, Lindblad equations, and the Fermi Ornstein–Uhlenbeck semigroup. We develop a non-nommutative differential calculus that allows us to obtain non-commutative Ricci curvature bounds, logarithmic Sobolev inequalities, transport-entropy inequalities, andspectral gap estimates. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Eric A. full_name: Carlen, Eric A. last_name: Carlen - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 citation: ama: Carlen EA, Maas J. Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems. Journal of Statistical Physics. 2020;178(2):319-378. doi:10.1007/s10955-019-02434-w apa: Carlen, E. A., & Maas, J. (2020). Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-019-02434-w chicago: Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02434-w. ieee: E. A. Carlen and J. Maas, “Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems,” Journal of Statistical Physics, vol. 178, no. 2. Springer Nature, pp. 319–378, 2020. ista: Carlen EA, Maas J. 2020. Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems. Journal of Statistical Physics. 178(2), 319–378. mla: Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.” Journal of Statistical Physics, vol. 178, no. 2, Springer Nature, 2020, pp. 319–78, doi:10.1007/s10955-019-02434-w. short: E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378. date_created: 2019-04-30T07:34:18Z date_published: 2020-01-01T00:00:00Z date_updated: 2023-08-17T13:49:40Z day: '01' ddc: - '500' department: - _id: JaMa doi: 10.1007/s10955-019-02434-w ec_funded: 1 external_id: arxiv: - '1811.04572' isi: - '000498933300001' file: - access_level: open_access checksum: 7b04befbdc0d4982c0ee945d25d19872 content_type: application/pdf creator: dernst date_created: 2019-12-23T12:03:09Z date_updated: 2020-07-14T12:47:28Z file_id: '7209' file_name: 2019_JourStatistPhysics_Carlen.pdf file_size: 905538 relation: main_file file_date_updated: 2020-07-14T12:47:28Z has_accepted_license: '1' intvolume: ' 178' isi: 1 issue: '2' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 319-378 project: - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund - _id: 256E75B8-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '716117' name: Optimal Transport and Stochastic Dynamics - _id: 260482E2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: ' F06504' name: Taming Complexity in Partial Di erential Systems publication: Journal of Statistical Physics publication_identifier: eissn: - '15729613' issn: - '00224715' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: link: - relation: erratum url: https://doi.org/10.1007/s10955-020-02671-4 scopus_import: '1' status: public title: Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 178 year: '2020' ... --- _id: '6359' abstract: - lang: eng text: The strong rate of convergence of the Euler-Maruyama scheme for nondegenerate SDEs with irregular drift coefficients is considered. In the case of α-Hölder drift in the recent literature the rate α/2 was proved in many related situations. By exploiting the regularising effect of the noise more efficiently, we show that the rate is in fact arbitrarily close to 1/2 for all α>0. The result extends to Dini continuous coefficients, while in d=1 also to all bounded measurable coefficients. article_number: '82' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Konstantinos full_name: Dareiotis, Konstantinos last_name: Dareiotis - first_name: Mate full_name: Gerencser, Mate id: 44ECEDF2-F248-11E8-B48F-1D18A9856A87 last_name: Gerencser citation: ama: Dareiotis K, Gerencser M. On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift. Electronic Journal of Probability. 2020;25. doi:10.1214/20-EJP479 apa: Dareiotis, K., & Gerencser, M. (2020). On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift. Electronic Journal of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/20-EJP479 chicago: Dareiotis, Konstantinos, and Mate Gerencser. “On the Regularisation of the Noise for the Euler-Maruyama Scheme with Irregular Drift.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2020. https://doi.org/10.1214/20-EJP479. ieee: K. Dareiotis and M. Gerencser, “On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift,” Electronic Journal of Probability, vol. 25. Institute of Mathematical Statistics, 2020. ista: Dareiotis K, Gerencser M. 2020. On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift. Electronic Journal of Probability. 25, 82. mla: Dareiotis, Konstantinos, and Mate Gerencser. “On the Regularisation of the Noise for the Euler-Maruyama Scheme with Irregular Drift.” Electronic Journal of Probability, vol. 25, 82, Institute of Mathematical Statistics, 2020, doi:10.1214/20-EJP479. short: K. Dareiotis, M. Gerencser, Electronic Journal of Probability 25 (2020). date_created: 2019-04-30T07:40:17Z date_published: 2020-07-16T00:00:00Z date_updated: 2023-10-16T09:22:50Z day: '16' ddc: - '510' department: - _id: JaMa doi: 10.1214/20-EJP479 external_id: arxiv: - '1812.04583' isi: - '000550150700001' file: - access_level: open_access checksum: 8e7c42e72596f6889d786e8e8b89994f content_type: application/pdf creator: dernst date_created: 2020-09-21T13:15:02Z date_updated: 2020-09-21T13:15:02Z file_id: '8549' file_name: 2020_EJournProbab_Dareiotis.pdf file_size: 273042 relation: main_file success: 1 file_date_updated: 2020-09-21T13:15:02Z has_accepted_license: '1' intvolume: ' 25' isi: 1 language: - iso: eng month: '07' oa: 1 oa_version: Published Version publication: Electronic Journal of Probability publication_identifier: eissn: - 1083-6489 publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' scopus_import: '1' status: public title: On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 25 year: '2020' ... --- _id: '6488' abstract: - lang: eng text: We prove a central limit theorem for the difference of linear eigenvalue statistics of a sample covariance matrix W˜ and its minor W. We find that the fluctuation of this difference is much smaller than those of the individual linear statistics, as a consequence of the strong correlation between the eigenvalues of W˜ and W. Our result identifies the fluctuation of the spatial derivative of the approximate Gaussian field in the recent paper by Dumitru and Paquette. Unlike in a similar result for Wigner matrices, for sample covariance matrices, the fluctuation may entirely vanish. article_number: '2050006' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Giorgio full_name: Cipolloni, Giorgio id: 42198EFA-F248-11E8-B48F-1D18A9856A87 last_name: Cipolloni orcid: 0000-0002-4901-7992 - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 citation: ama: 'Cipolloni G, Erdös L. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application. 2020;9(3). doi:10.1142/S2010326320500069' apa: 'Cipolloni, G., & Erdös, L. (2020). Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application. World Scientific Publishing. https://doi.org/10.1142/S2010326320500069' chicago: 'Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices: Theory and Application. World Scientific Publishing, 2020. https://doi.org/10.1142/S2010326320500069.' ieee: 'G. Cipolloni and L. Erdös, “Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices,” Random Matrices: Theory and Application, vol. 9, no. 3. World Scientific Publishing, 2020.' ista: 'Cipolloni G, Erdös L. 2020. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application. 9(3), 2050006.' mla: 'Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices: Theory and Application, vol. 9, no. 3, 2050006, World Scientific Publishing, 2020, doi:10.1142/S2010326320500069.' short: 'G. Cipolloni, L. Erdös, Random Matrices: Theory and Application 9 (2020).' date_created: 2019-05-26T21:59:14Z date_published: 2020-07-01T00:00:00Z date_updated: 2023-08-28T08:38:48Z day: '01' department: - _id: LaEr doi: 10.1142/S2010326320500069 ec_funded: 1 external_id: arxiv: - '1806.08751' isi: - '000547464400001' intvolume: ' 9' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1806.08751 month: '07' oa: 1 oa_version: Preprint project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: 'Random Matrices: Theory and Application' publication_identifier: eissn: - '20103271' issn: - '20103263' publication_status: published publisher: World Scientific Publishing quality_controlled: '1' scopus_import: '1' status: public title: Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 9 year: '2020' ... --- _id: '6563' abstract: - lang: eng text: "This paper presents two algorithms. The first decides the existence of a pointed homotopy between given simplicial maps \U0001D453,\U0001D454:\U0001D44B→\U0001D44C, and the second computes the group [\U0001D6F4\U0001D44B,\U0001D44C]∗ of pointed homotopy classes of maps from a suspension; in both cases, the target Y is assumed simply connected. More generally, these algorithms work relative to \U0001D434⊆\U0001D44B." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Marek full_name: Filakovský, Marek id: 3E8AF77E-F248-11E8-B48F-1D18A9856A87 last_name: Filakovský - first_name: Lukas full_name: Vokřínek, Lukas last_name: Vokřínek citation: ama: Filakovský M, Vokřínek L. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 2020;20:311-330. doi:10.1007/s10208-019-09419-x apa: Filakovský, M., & Vokřínek, L. (2020). Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. Springer Nature. https://doi.org/10.1007/s10208-019-09419-x chicago: Filakovský, Marek, and Lukas Vokřínek. “Are Two given Maps Homotopic? An Algorithmic Viewpoint.” Foundations of Computational Mathematics. Springer Nature, 2020. https://doi.org/10.1007/s10208-019-09419-x. ieee: M. Filakovský and L. Vokřínek, “Are two given maps homotopic? An algorithmic viewpoint,” Foundations of Computational Mathematics, vol. 20. Springer Nature, pp. 311–330, 2020. ista: Filakovský M, Vokřínek L. 2020. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 20, 311–330. mla: Filakovský, Marek, and Lukas Vokřínek. “Are Two given Maps Homotopic? An Algorithmic Viewpoint.” Foundations of Computational Mathematics, vol. 20, Springer Nature, 2020, pp. 311–30, doi:10.1007/s10208-019-09419-x. short: M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330. date_created: 2019-06-16T21:59:14Z date_published: 2020-04-01T00:00:00Z date_updated: 2023-08-17T13:50:44Z day: '01' department: - _id: UlWa doi: 10.1007/s10208-019-09419-x external_id: arxiv: - '1312.2337' isi: - '000522437400004' intvolume: ' 20' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1312.2337 month: '04' oa: 1 oa_version: Preprint page: 311-330 project: - _id: 26611F5C-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P31312 name: Algorithms for Embeddings and Homotopy Theory publication: Foundations of Computational Mathematics publication_identifier: eissn: - '16153383' issn: - '16153375' publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Are two given maps homotopic? An algorithmic viewpoint type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 20 year: '2020' ... --- _id: '6593' abstract: - lang: eng text: 'We consider the monotone variational inequality problem in a Hilbert space and describe a projection-type method with inertial terms under the following properties: (a) The method generates a strongly convergent iteration sequence; (b) The method requires, at each iteration, only one projection onto the feasible set and two evaluations of the operator; (c) The method is designed for variational inequality for which the underline operator is monotone and uniformly continuous; (d) The method includes an inertial term. The latter is also shown to speed up the convergence in our numerical results. A comparison with some related methods is given and indicates that the new method is promising.' acknowledgement: The research of this author is supported by the ERC grant at the IST. article_processing_charge: No article_type: original author: - first_name: Yekini full_name: Shehu, Yekini id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87 last_name: Shehu orcid: 0000-0001-9224-7139 - first_name: Xiao-Huan full_name: Li, Xiao-Huan last_name: Li - first_name: Qiao-Li full_name: Dong, Qiao-Li last_name: Dong citation: ama: Shehu Y, Li X-H, Dong Q-L. An efficient projection-type method for monotone variational inequalities in Hilbert spaces. Numerical Algorithms. 2020;84:365-388. doi:10.1007/s11075-019-00758-y apa: Shehu, Y., Li, X.-H., & Dong, Q.-L. (2020). An efficient projection-type method for monotone variational inequalities in Hilbert spaces. Numerical Algorithms. Springer Nature. https://doi.org/10.1007/s11075-019-00758-y chicago: Shehu, Yekini, Xiao-Huan Li, and Qiao-Li Dong. “An Efficient Projection-Type Method for Monotone Variational Inequalities in Hilbert Spaces.” Numerical Algorithms. Springer Nature, 2020. https://doi.org/10.1007/s11075-019-00758-y. ieee: Y. Shehu, X.-H. Li, and Q.-L. Dong, “An efficient projection-type method for monotone variational inequalities in Hilbert spaces,” Numerical Algorithms, vol. 84. Springer Nature, pp. 365–388, 2020. ista: Shehu Y, Li X-H, Dong Q-L. 2020. An efficient projection-type method for monotone variational inequalities in Hilbert spaces. Numerical Algorithms. 84, 365–388. mla: Shehu, Yekini, et al. “An Efficient Projection-Type Method for Monotone Variational Inequalities in Hilbert Spaces.” Numerical Algorithms, vol. 84, Springer Nature, 2020, pp. 365–88, doi:10.1007/s11075-019-00758-y. short: Y. Shehu, X.-H. Li, Q.-L. Dong, Numerical Algorithms 84 (2020) 365–388. date_created: 2019-06-27T20:09:33Z date_published: 2020-05-01T00:00:00Z date_updated: 2023-08-17T13:51:18Z day: '01' ddc: - '000' department: - _id: VlKo doi: 10.1007/s11075-019-00758-y ec_funded: 1 external_id: isi: - '000528979000015' file: - access_level: open_access checksum: bb1a1eb3ebb2df380863d0db594673ba content_type: application/pdf creator: kschuh date_created: 2019-10-01T13:14:10Z date_updated: 2020-07-14T12:47:34Z file_id: '6927' file_name: ExtragradientMethodPaper.pdf file_size: 359654 relation: main_file file_date_updated: 2020-07-14T12:47:34Z has_accepted_license: '1' intvolume: ' 84' isi: 1 language: - iso: eng month: '05' oa: 1 oa_version: Submitted Version page: 365-388 project: - _id: 25FBA906-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '616160' name: 'Discrete Optimization in Computer Vision: Theory and Practice' publication: Numerical Algorithms publication_identifier: eissn: - 1572-9265 issn: - 1017-1398 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: An efficient projection-type method for monotone variational inequalities in Hilbert spaces type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 84 year: '2020' ... --- _id: '6649' abstract: - lang: eng text: "While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n" article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Niels P full_name: Benedikter, Niels P id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87 last_name: Benedikter orcid: 0000-0002-1071-6091 - first_name: Phan Thành full_name: Nam, Phan Thành last_name: Nam - first_name: Marcello full_name: Porta, Marcello last_name: Porta - first_name: Benjamin full_name: Schlein, Benjamin last_name: Schlein - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5 apa: Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5 chicago: Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5. ieee: N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374. Springer Nature, pp. 2097–2150, 2020. ista: Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150. mla: Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5. short: N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150. date_created: 2019-07-18T13:30:04Z date_published: 2020-03-01T00:00:00Z date_updated: 2023-08-17T13:51:50Z day: '01' ddc: - '530' department: - _id: RoSe doi: 10.1007/s00220-019-03505-5 ec_funded: 1 external_id: arxiv: - '1809.01902' isi: - '000527910700019' file: - access_level: open_access checksum: f9dd6dd615a698f1d3636c4a092fed23 content_type: application/pdf creator: dernst date_created: 2019-07-24T07:19:10Z date_updated: 2020-07-14T12:47:35Z file_id: '6668' file_name: 2019_CommMathPhysics_Benedikter.pdf file_size: 853289 relation: main_file file_date_updated: 2020-07-14T12:47:35Z has_accepted_license: '1' intvolume: ' 374' isi: 1 language: - iso: eng month: '03' oa: 1 oa_version: Published Version page: 2097–2150 project: - _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1 call_identifier: FWF name: FWF Open Access Fund - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems publication: Communications in Mathematical Physics publication_identifier: eissn: - 1432-0916 issn: - 0010-3616 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 374 year: '2020' ... --- _id: '6748' abstract: - lang: eng text: "Fitting a function by using linear combinations of a large number N of `simple' components is one of the most fruitful ideas in statistical learning. This idea lies at the core of a variety of methods, from two-layer neural networks to kernel regression, to boosting. In general, the resulting risk minimization problem is non-convex and is solved by gradient descent or its variants. Unfortunately, little is known about global convergence properties of these approaches.\r\nHere we consider the problem of learning a concave function f on a compact convex domain Ω⊆ℝd, using linear combinations of `bump-like' components (neurons). The parameters to be fitted are the centers of N bumps, and the resulting empirical risk minimization problem is highly non-convex. We prove that, in the limit in which the number of neurons diverges, the evolution of gradient descent converges to a Wasserstein gradient flow in the space of probability distributions over Ω. Further, when the bump width δ tends to 0, this gradient flow has a limit which is a viscous porous medium equation. Remarkably, the cost function optimized by this gradient flow exhibits a special property known as displacement convexity, which implies exponential convergence rates for N→∞, δ→0. Surprisingly, this asymptotic theory appears to capture well the behavior for moderate values of δ,N. Explaining this phenomenon, and understanding the dependence on δ,N in a quantitative manner remains an outstanding challenge." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Adel full_name: Javanmard, Adel last_name: Javanmard - first_name: Marco full_name: Mondelli, Marco id: 27EB676C-8706-11E9-9510-7717E6697425 last_name: Mondelli orcid: 0000-0002-3242-7020 - first_name: Andrea full_name: Montanari, Andrea last_name: Montanari citation: ama: Javanmard A, Mondelli M, Montanari A. Analysis of a two-layer neural network via displacement convexity. Annals of Statistics. 2020;48(6):3619-3642. doi:10.1214/20-AOS1945 apa: Javanmard, A., Mondelli, M., & Montanari, A. (2020). Analysis of a two-layer neural network via displacement convexity. Annals of Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/20-AOS1945 chicago: Javanmard, Adel, Marco Mondelli, and Andrea Montanari. “Analysis of a Two-Layer Neural Network via Displacement Convexity.” Annals of Statistics. Institute of Mathematical Statistics, 2020. https://doi.org/10.1214/20-AOS1945. ieee: A. Javanmard, M. Mondelli, and A. Montanari, “Analysis of a two-layer neural network via displacement convexity,” Annals of Statistics, vol. 48, no. 6. Institute of Mathematical Statistics, pp. 3619–3642, 2020. ista: Javanmard A, Mondelli M, Montanari A. 2020. Analysis of a two-layer neural network via displacement convexity. Annals of Statistics. 48(6), 3619–3642. mla: Javanmard, Adel, et al. “Analysis of a Two-Layer Neural Network via Displacement Convexity.” Annals of Statistics, vol. 48, no. 6, Institute of Mathematical Statistics, 2020, pp. 3619–42, doi:10.1214/20-AOS1945. short: A. Javanmard, M. Mondelli, A. Montanari, Annals of Statistics 48 (2020) 3619–3642. date_created: 2019-07-31T09:39:42Z date_published: 2020-12-11T00:00:00Z date_updated: 2024-03-06T08:28:50Z day: '11' department: - _id: MaMo doi: 10.1214/20-AOS1945 external_id: arxiv: - '1901.01375' isi: - '000598369200021' intvolume: ' 48' isi: 1 issue: '6' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1901.01375 month: '12' oa: 1 oa_version: Preprint page: 3619-3642 publication: Annals of Statistics publication_identifier: eissn: - 1941-7330 issn: - 1932-6157 publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' status: public title: Analysis of a two-layer neural network via displacement convexity type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 48 year: '2020' ... --- _id: '6761' abstract: - lang: eng text: In resource allocation games, selfish players share resources that are needed in order to fulfill their objectives. The cost of using a resource depends on the load on it. In the traditional setting, the players make their choices concurrently and in one-shot. That is, a strategy for a player is a subset of the resources. We introduce and study dynamic resource allocation games. In this setting, the game proceeds in phases. In each phase each player chooses one resource. A scheduler dictates the order in which the players proceed in a phase, possibly scheduling several players to proceed concurrently. The game ends when each player has collected a set of resources that fulfills his objective. The cost for each player then depends on this set as well as on the load on the resources in it – we consider both congestion and cost-sharing games. We argue that the dynamic setting is the suitable setting for many applications in practice. We study the stability of dynamic resource allocation games, where the appropriate notion of stability is that of subgame perfect equilibrium, study the inefficiency incurred due to selfish behavior, and also study problems that are particular to the dynamic setting, like constraints on the order in which resources can be chosen or the problem of finding a scheduler that achieves stability. article_processing_charge: No article_type: original author: - first_name: Guy full_name: Avni, Guy id: 463C8BC2-F248-11E8-B48F-1D18A9856A87 last_name: Avni orcid: 0000-0001-5588-8287 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000−0002−2985−7724 - first_name: Orna full_name: Kupferman, Orna last_name: Kupferman citation: ama: Avni G, Henzinger TA, Kupferman O. Dynamic resource allocation games. Theoretical Computer Science. 2020;807:42-55. doi:10.1016/j.tcs.2019.06.031 apa: Avni, G., Henzinger, T. A., & Kupferman, O. (2020). Dynamic resource allocation games. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/j.tcs.2019.06.031 chicago: Avni, Guy, Thomas A Henzinger, and Orna Kupferman. “Dynamic Resource Allocation Games.” Theoretical Computer Science. Elsevier, 2020. https://doi.org/10.1016/j.tcs.2019.06.031. ieee: G. Avni, T. A. Henzinger, and O. Kupferman, “Dynamic resource allocation games,” Theoretical Computer Science, vol. 807. Elsevier, pp. 42–55, 2020. ista: Avni G, Henzinger TA, Kupferman O. 2020. Dynamic resource allocation games. Theoretical Computer Science. 807, 42–55. mla: Avni, Guy, et al. “Dynamic Resource Allocation Games.” Theoretical Computer Science, vol. 807, Elsevier, 2020, pp. 42–55, doi:10.1016/j.tcs.2019.06.031. short: G. Avni, T.A. Henzinger, O. Kupferman, Theoretical Computer Science 807 (2020) 42–55. date_created: 2019-08-04T21:59:20Z date_published: 2020-02-06T00:00:00Z date_updated: 2023-08-17T13:52:49Z day: '06' ddc: - '000' department: - _id: ToHe doi: 10.1016/j.tcs.2019.06.031 external_id: isi: - '000512219400004' file: - access_level: open_access checksum: e86635417f45eb2cd75778f91382f737 content_type: application/pdf creator: dernst date_created: 2020-10-09T06:31:22Z date_updated: 2020-10-09T06:31:22Z file_id: '8639' file_name: 2020_TheoreticalCS_Avni.pdf file_size: 1413001 relation: main_file success: 1 file_date_updated: 2020-10-09T06:31:22Z has_accepted_license: '1' intvolume: ' 807' isi: 1 language: - iso: eng month: '02' oa: 1 oa_version: Submitted Version page: 42-55 project: - _id: 25F2ACDE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11402-N23 name: Rigorous Systems Engineering - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 264B3912-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02369 name: Formal Methods meets Algorithmic Game Theory publication: Theoretical Computer Science publication_identifier: issn: - '03043975' publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '1341' relation: earlier_version status: public scopus_import: '1' status: public title: Dynamic resource allocation games type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 807 year: '2020' ...