--- _id: '15063' abstract: - lang: eng text: We consider the least singular value of a large random matrix with real or complex i.i.d. Gaussian entries shifted by a constant z∈C. We prove an optimal lower tail estimate on this singular value in the critical regime where z is around the spectral edge, thus improving the classical bound of Sankar, Spielman and Teng (SIAM J. Matrix Anal. Appl. 28:2 (2006), 446–476) for the particular shift-perturbation in the edge regime. Lacking Brézin–Hikami formulas in the real case, we rely on the superbosonization formula (Comm. Math. Phys. 283:2 (2008), 343–395). acknowledgement: Partially supported by ERC Advanced Grant No. 338804. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 66538 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 - 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: Cipolloni G, Erdös L, Schröder DJ. Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics. 2020;1(1):101-146. doi:10.2140/pmp.2020.1.101 apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2020). Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics. Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2020.1.101 chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble.” Probability and Mathematical Physics. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/pmp.2020.1.101. ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Optimal lower bound on the least singular value of the shifted Ginibre ensemble,” Probability and Mathematical Physics, vol. 1, no. 1. Mathematical Sciences Publishers, pp. 101–146, 2020. ista: Cipolloni G, Erdös L, Schröder DJ. 2020. Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics. 1(1), 101–146. mla: Cipolloni, Giorgio, et al. “Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble.” Probability and Mathematical Physics, vol. 1, no. 1, Mathematical Sciences Publishers, 2020, pp. 101–46, doi:10.2140/pmp.2020.1.101. short: G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146. date_created: 2024-03-04T10:27:57Z date_published: 2020-11-16T00:00:00Z date_updated: 2024-03-04T10:33:15Z day: '16' department: - _id: LaEr doi: 10.2140/pmp.2020.1.101 ec_funded: 1 external_id: arxiv: - '1908.01653' intvolume: ' 1' issue: '1' keyword: - General Medicine language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.1908.01653 month: '11' oa: 1 oa_version: Preprint page: 101-146 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: Probability and Mathematical Physics publication_identifier: issn: - 2690-1005 - 2690-0998 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' scopus_import: '1' status: public title: Optimal lower bound on the least singular value of the shifted Ginibre ensemble type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 1 year: '2020' ... --- _id: '15064' abstract: - lang: eng text: We call a continuous self-map that reveals itself through a discrete set of point-value pairs a sampled dynamical system. Capturing the available information with chain maps on Delaunay complexes, we use persistent homology to quantify the evidence of recurrent behavior. We establish a sampling theorem to recover the eigenspaces of the endomorphism on homology induced by the self-map. Using a combinatorial gradient flow arising from the discrete Morse theory for Čech and Delaunay complexes, we construct a chain map to transform the problem from the natural but expensive Čech complexes to the computationally efficient Delaunay triangulations. The fast chain map algorithm has applications beyond dynamical systems. acknowledgement: This research has been supported by the DFG Collaborative Research Center SFB/TRR 109 “Discretization in Geometry and Dynamics”, by Polish MNiSzW Grant No. 2621/7.PR/12/2013/2, by the Polish National Science Center under Maestro Grant No. 2014/14/A/ST1/00453 and Grant No. DEC-2013/09/N/ST6/02995. Open Access funding provided by Projekt DEAL. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: U. full_name: Bauer, U. last_name: Bauer - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Grzegorz full_name: Jablonski, Grzegorz id: 4483EF78-F248-11E8-B48F-1D18A9856A87 last_name: Jablonski orcid: 0000-0002-3536-9866 - first_name: M. full_name: Mrozek, M. last_name: Mrozek citation: ama: Bauer U, Edelsbrunner H, Jablonski G, Mrozek M. Čech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. 2020;4(4):455-480. doi:10.1007/s41468-020-00058-8 apa: Bauer, U., Edelsbrunner, H., Jablonski, G., & Mrozek, M. (2020). Čech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-020-00058-8 chicago: Bauer, U., Herbert Edelsbrunner, Grzegorz Jablonski, and M. Mrozek. “Čech-Delaunay Gradient Flow and Homology Inference for Self-Maps.” Journal of Applied and Computational Topology. Springer Nature, 2020. https://doi.org/10.1007/s41468-020-00058-8. ieee: U. Bauer, H. Edelsbrunner, G. Jablonski, and M. Mrozek, “Čech-Delaunay gradient flow and homology inference for self-maps,” Journal of Applied and Computational Topology, vol. 4, no. 4. Springer Nature, pp. 455–480, 2020. ista: Bauer U, Edelsbrunner H, Jablonski G, Mrozek M. 2020. Čech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. 4(4), 455–480. mla: Bauer, U., et al. “Čech-Delaunay Gradient Flow and Homology Inference for Self-Maps.” Journal of Applied and Computational Topology, vol. 4, no. 4, Springer Nature, 2020, pp. 455–80, doi:10.1007/s41468-020-00058-8. short: U. Bauer, H. Edelsbrunner, G. Jablonski, M. Mrozek, Journal of Applied and Computational Topology 4 (2020) 455–480. date_created: 2024-03-04T10:47:49Z date_published: 2020-12-01T00:00:00Z date_updated: 2024-03-04T10:54:04Z day: '01' ddc: - '500' department: - _id: HeEd doi: 10.1007/s41468-020-00058-8 file: - access_level: open_access checksum: eed1168b6e66cd55272c19bb7fca8a1c content_type: application/pdf creator: dernst date_created: 2024-03-04T10:52:42Z date_updated: 2024-03-04T10:52:42Z file_id: '15065' file_name: 2020_JourApplCompTopology_Bauer.pdf file_size: 851190 relation: main_file success: 1 file_date_updated: 2024-03-04T10:52:42Z has_accepted_license: '1' intvolume: ' 4' issue: '4' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '12' oa: 1 oa_version: Published Version page: 455-480 publication: Journal of Applied and Computational Topology publication_identifier: eissn: - 2367-1734 issn: - 2367-1726 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Čech-Delaunay gradient flow and homology inference for self-maps 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: 4 year: '2020' ... --- _id: '15074' abstract: - lang: eng text: We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for the stable orientation problem, which is a special case of the more general locally optimal semi-matching problem. The prior work by Czygrinow et al. (DISC 2012) finds a locally optimal semi-matching in O(Δ⁵) rounds in graphs of maximum degree Δ, which directly implies an algorithm with the same runtime for stable orientations. We improve the runtime to O(Δ⁴) for stable orientations and prove a lower bound of Ω(Δ) rounds. alternative_title: - LIPIcs article_number: '40' article_processing_charge: No arxiv: 1 author: - first_name: Sebastian full_name: Brandt, Sebastian last_name: Brandt - first_name: Barbara full_name: Keller, Barbara last_name: Keller - first_name: Joel full_name: Rybicki, Joel id: 334EFD2E-F248-11E8-B48F-1D18A9856A87 last_name: Rybicki orcid: 0000-0002-6432-6646 - first_name: Jukka full_name: Suomela, Jukka last_name: Suomela - first_name: Jara full_name: Uitto, Jara last_name: Uitto citation: ama: 'Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. Brief announcement: Efficient load-balancing through distributed token dropping. In: 34th International Symposium on Distributed Computing. Vol 179. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.DISC.2020.40' apa: 'Brandt, S., Keller, B., Rybicki, J., Suomela, J., & Uitto, J. (2020). Brief announcement: Efficient load-balancing through distributed token dropping. In 34th International Symposium on Distributed Computing (Vol. 179). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.DISC.2020.40' chicago: 'Brandt, Sebastian, Barbara Keller, Joel Rybicki, Jukka Suomela, and Jara Uitto. “Brief Announcement: Efficient Load-Balancing through Distributed Token Dropping.” In 34th International Symposium on Distributed Computing, Vol. 179. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.DISC.2020.40.' ieee: 'S. Brandt, B. Keller, J. Rybicki, J. Suomela, and J. Uitto, “Brief announcement: Efficient load-balancing through distributed token dropping,” in 34th International Symposium on Distributed Computing, Virtual, 2020, vol. 179.' ista: 'Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. 2020. Brief announcement: Efficient load-balancing through distributed token dropping. 34th International Symposium on Distributed Computing. DISC: Symposium on Distributed Computing, LIPIcs, vol. 179, 40.' mla: 'Brandt, Sebastian, et al. “Brief Announcement: Efficient Load-Balancing through Distributed Token Dropping.” 34th International Symposium on Distributed Computing, vol. 179, 40, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.DISC.2020.40.' short: S. Brandt, B. Keller, J. Rybicki, J. Suomela, J. Uitto, in:, 34th International Symposium on Distributed Computing, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-10-16 location: Virtual name: 'DISC: Symposium on Distributed Computing' start_date: 2020-10-12 date_created: 2024-03-05T07:09:12Z date_published: 2020-10-07T00:00:00Z date_updated: 2024-03-05T07:13:13Z day: '07' ddc: - '000' department: - _id: DaAl doi: 10.4230/LIPIcs.DISC.2020.40 external_id: arxiv: - '2005.07761' file: - access_level: open_access checksum: 23e2d9321aef53092dc1e24a8ab82d72 content_type: application/pdf creator: dernst date_created: 2024-03-05T07:08:27Z date_updated: 2024-03-05T07:08:27Z file_id: '15075' file_name: 2020_LIPIcs_Brandt.pdf file_size: 303529 relation: main_file success: 1 file_date_updated: 2024-03-05T07:08:27Z has_accepted_license: '1' intvolume: ' 179' language: - iso: eng license: https://creativecommons.org/licenses/by/3.0/ month: '10' oa: 1 oa_version: Published Version publication: 34th International Symposium on Distributed Computing publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' related_material: record: - id: '9678' relation: later_version status: public scopus_import: '1' status: public title: 'Brief announcement: Efficient load-balancing through distributed token dropping' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 179 year: '2020' ... --- _id: '15077' abstract: - lang: eng text: "We consider the following dynamic load-balancing process: given an underlying graph G with n nodes, in each step t≥ 0, one unit of load is created, and placed at a randomly chosen graph node. In the same step, the chosen node picks a random neighbor, and the two nodes balance their loads by averaging them. We are interested in the expected gap between the minimum and maximum loads at nodes as the process progresses, and its dependence on n and on the graph structure. Variants of the above graphical balanced allocation process have been studied previously by Peres, Talwar, and Wieder [Peres et al., 2015], and by Sauerwald and Sun [Sauerwald and Sun, 2015]. These authors left as open the question of characterizing the gap in the case of cycle graphs in the dynamic case, where weights are created during the algorithm’s execution. For this case, the only known upper bound is of \U0001D4AA(n log n), following from a majorization argument due to [Peres et al., 2015], which analyzes a related graphical allocation process. In this paper, we provide an upper bound of \U0001D4AA (√n log n) on the expected gap of the above process for cycles of length n. We introduce a new potential analysis technique, which enables us to bound the difference in load between k-hop neighbors on the cycle, for any k ≤ n/2. We complement this with a \"gap covering\" argument, which bounds the maximum value of the gap by bounding its value across all possible subsets of a certain structure, and recursively bounding the gaps within each subset. We provide analytical and experimental evidence that our upper bound on the gap is tight up to a logarithmic factor." acknowledgement: "The authors sincerely thank Thomas Sauerwald and George Giakkoupis for insightful discussions, and Mohsen Ghaffari, Yuval Peres, and Udi Wieder for feedback on earlier\r\nversions of this draft. We also thank the ICALP anonymous reviewers for their very useful comments.\r\nFunding: European Research Council funding award PR1042ERC01" alternative_title: - LIPIcs article_number: '7' article_processing_charge: No arxiv: 1 author: - first_name: Dan-Adrian full_name: Alistarh, Dan-Adrian id: 4A899BFC-F248-11E8-B48F-1D18A9856A87 last_name: Alistarh orcid: 0000-0003-3650-940X - first_name: Giorgi full_name: Nadiradze, Giorgi id: 3279A00C-F248-11E8-B48F-1D18A9856A87 last_name: Nadiradze orcid: 0000-0001-5634-0731 - first_name: Amirmojtaba full_name: Sabour, Amirmojtaba id: bcc145fd-e77f-11ea-ae8b-80d661dbff67 last_name: Sabour citation: ama: 'Alistarh D-A, Nadiradze G, Sabour A. Dynamic averaging load balancing on cycles. In: 47th International Colloquium on Automata, Languages, and Programming. Vol 168. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.ICALP.2020.7' apa: 'Alistarh, D.-A., Nadiradze, G., & Sabour, A. (2020). Dynamic averaging load balancing on cycles. In 47th International Colloquium on Automata, Languages, and Programming (Vol. 168). Saarbrücken, Germany, Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.ICALP.2020.7' chicago: Alistarh, Dan-Adrian, Giorgi Nadiradze, and Amirmojtaba Sabour. “Dynamic Averaging Load Balancing on Cycles.” In 47th International Colloquium on Automata, Languages, and Programming, Vol. 168. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.ICALP.2020.7. ieee: D.-A. Alistarh, G. Nadiradze, and A. Sabour, “Dynamic averaging load balancing on cycles,” in 47th International Colloquium on Automata, Languages, and Programming, Saarbrücken, Germany, Virtual, 2020, vol. 168. ista: 'Alistarh D-A, Nadiradze G, Sabour A. 2020. Dynamic averaging load balancing on cycles. 47th International Colloquium on Automata, Languages, and Programming. ICALP: International Colloquium on Automata, Languages, and Programming, LIPIcs, vol. 168, 7.' mla: Alistarh, Dan-Adrian, et al. “Dynamic Averaging Load Balancing on Cycles.” 47th International Colloquium on Automata, Languages, and Programming, vol. 168, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.ICALP.2020.7. short: D.-A. Alistarh, G. Nadiradze, A. Sabour, in:, 47th International Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-07-11 location: Saarbrücken, Germany, Virtual name: 'ICALP: International Colloquium on Automata, Languages, and Programming' start_date: 2020-07-08 date_created: 2024-03-05T07:25:37Z date_published: 2020-06-29T00:00:00Z date_updated: 2024-03-05T07:35:53Z day: '29' ddc: - '000' department: - _id: DaAl doi: 10.4230/LIPIcs.ICALP.2020.7 ec_funded: 1 external_id: arxiv: - '2003.09297' file: - access_level: open_access checksum: e5eb16199f4ccfd77a321977eb3f026f content_type: application/pdf creator: dernst date_created: 2024-03-05T07:25:15Z date_updated: 2024-03-05T07:25:15Z file_id: '15078' file_name: 2020_LIPIcs_Alistarh.pdf file_size: 782987 relation: main_file success: 1 file_date_updated: 2024-03-05T07:25:15Z has_accepted_license: '1' intvolume: ' 168' language: - iso: eng month: '06' oa: 1 oa_version: Published Version project: - _id: 268A44D6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '805223' name: Elastic Coordination for Scalable Machine Learning publication: 47th International Colloquium on Automata, Languages, and Programming publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' related_material: record: - id: '8286' relation: later_version status: public scopus_import: '1' status: public title: Dynamic averaging load balancing on cycles tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 168 year: '2020' ... --- _id: '15082' abstract: - lang: eng text: "Two plane drawings of geometric graphs on the same set of points are called disjoint compatible if their union is plane and they do not have an edge in common. For a given set S of 2n points two plane drawings of perfect matchings M1 and M2 (which do not need to be disjoint nor compatible) are disjoint tree-compatible if there exists a plane drawing of a spanning tree T on S which is disjoint compatible to both M1 and M2.\r\nWe show that the graph of all disjoint tree-compatible perfect geometric matchings on 2n points in convex position is connected if and only if 2n ≥ 10. Moreover, in that case the diameter\r\nof this graph is either 4 or 5, independent of n." acknowledgement: Research on this work was initiated at the 6th Austrian-Japanese-Mexican-Spanish Workshop on Discrete Geometry and continued during the 16th European Geometric Graph-Week, both held near Strobl, Austria. We are grateful to the participants for the inspiring atmosphere. We especially thank Alexander Pilz for bringing this class of problems to our attention and Birgit Vogtenhuber for inspiring discussions. D.P. is partially supported by the FWF grant I 3340-N35 (Collaborative DACH project Arrangements and Drawings). The research stay of P.P. at IST Austria is funded by the project CZ.02.2.69/0.0/0.0/17_050/0008466 Improvement of internationalization in the field of research and development at Charles University, through the support of quality projects MSCA-IF. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 734922. article_number: '56' article_processing_charge: No author: - first_name: Oswin full_name: Aichholzer, Oswin last_name: Aichholzer - first_name: Julia full_name: Obmann, Julia last_name: Obmann - first_name: Pavel full_name: Patak, Pavel id: B593B804-1035-11EA-B4F1-947645A5BB83 last_name: Patak - first_name: Daniel full_name: Perz, Daniel last_name: Perz - first_name: Josef full_name: Tkadlec, Josef id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87 last_name: Tkadlec orcid: 0000-0002-1097-9684 citation: ama: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. Disjoint tree-compatible plane perfect matchings. In: 36th European Workshop on Computational Geometry. ; 2020.' apa: Aichholzer, O., Obmann, J., Patak, P., Perz, D., & Tkadlec, J. (2020). Disjoint tree-compatible plane perfect matchings. In 36th European Workshop on Computational Geometry. Würzburg, Germany, Virtual. chicago: Aichholzer, Oswin, Julia Obmann, Pavel Patak, Daniel Perz, and Josef Tkadlec. “Disjoint Tree-Compatible Plane Perfect Matchings.” In 36th European Workshop on Computational Geometry, 2020. ieee: O. Aichholzer, J. Obmann, P. Patak, D. Perz, and J. Tkadlec, “Disjoint tree-compatible plane perfect matchings,” in 36th European Workshop on Computational Geometry, Würzburg, Germany, Virtual, 2020. ista: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. 2020. Disjoint tree-compatible plane perfect matchings. 36th European Workshop on Computational Geometry. EuroCG: European Workshop on Computational Geometry, 56.' mla: Aichholzer, Oswin, et al. “Disjoint Tree-Compatible Plane Perfect Matchings.” 36th European Workshop on Computational Geometry, 56, 2020. short: O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020. conference: end_date: 2020-03-18 location: Würzburg, Germany, Virtual name: 'EuroCG: European Workshop on Computational Geometry' start_date: 2020-03-16 date_created: 2024-03-05T08:57:17Z date_published: 2020-04-01T00:00:00Z date_updated: 2024-03-05T09:00:07Z day: '01' department: - _id: KrCh - _id: UlWa language: - iso: eng main_file_link: - open_access: '1' url: https://www1.pub.informatik.uni-wuerzburg.de/eurocg2020/data/uploads/papers/eurocg20_paper_56.pdf month: '04' oa: 1 oa_version: Published Version publication: 36th European Workshop on Computational Geometry publication_status: published quality_controlled: '1' status: public title: Disjoint tree-compatible plane perfect matchings type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '177' abstract: - lang: eng text: We develop a geometric version of the circle method and use it to compute the compactly supported cohomology of the space of rational curves through a point on a smooth affine hypersurface of sufficiently low degree. 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: Will full_name: Sawin, Will last_name: Sawin citation: ama: Browning TD, Sawin W. A geometric version of the circle method. Annals of Mathematics. 2020;191(3):893-948. doi:10.4007/annals.2020.191.3.4 apa: Browning, T. D., & Sawin, W. (2020). A geometric version of the circle method. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2020.191.3.4 chicago: Browning, Timothy D, and Will Sawin. “A Geometric Version of the Circle Method.” Annals of Mathematics. Princeton University, 2020. https://doi.org/10.4007/annals.2020.191.3.4. ieee: T. D. Browning and W. Sawin, “A geometric version of the circle method,” Annals of Mathematics, vol. 191, no. 3. Princeton University, pp. 893–948, 2020. ista: Browning TD, Sawin W. 2020. A geometric version of the circle method. Annals of Mathematics. 191(3), 893–948. mla: Browning, Timothy D., and Will Sawin. “A Geometric Version of the Circle Method.” Annals of Mathematics, vol. 191, no. 3, Princeton University, 2020, pp. 893–948, doi:10.4007/annals.2020.191.3.4. short: T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948. date_created: 2018-12-11T11:45:02Z date_published: 2020-05-01T00:00:00Z date_updated: 2023-08-17T07:12:37Z day: '01' department: - _id: TiBr doi: 10.4007/annals.2020.191.3.4 external_id: arxiv: - '1711.10451' isi: - '000526986300004' intvolume: ' 191' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1711.10451 month: '05' oa: 1 oa_version: Preprint page: 893-948 publication: Annals of Mathematics publication_status: published publisher: Princeton University publist_id: '7744' quality_controlled: '1' status: public title: A geometric version of the circle method type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 191 year: '2020' ... --- _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' ...