--- _id: '10772' abstract: - lang: eng text: We introduce tropical corals, balanced trees in a half-space, and show that they correspond to holomorphic polygons capturing the product rule in Lagrangian Floer theory for the elliptic curve. We then prove a correspondence theorem equating counts of tropical corals to punctured log Gromov–Witten invariants of the Tate curve. This implies that the homogeneous coordinate ring of the mirror to the Tate curve is isomorphic to the degree-zero part of symplectic cohomology, confirming a prediction of homological mirror symmetry. acknowledgement: 'This paper is based on my PhD thesis, which would not be possible without the support of my advisor Bernd Siebert. I also thank Dan Abramovich, Mohammed Abouzaid, Mark Gross, Tom Coates and Dimitri Zvonkine for many useful conversations. Finally, I thank the anonymous referees for their many insightful comments and valuable suggestions which have resulted in major improvements to this article. This project has received funding from the EuropeanResearch Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement Number: 682603), and from Fondation Mathématique Jacques Hadamard. ' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Nuroemuer Huelya full_name: Arguez, Nuroemuer Huelya id: 3c26b22e-c843-11eb-aa56-d38ffa0bdd08 last_name: Arguez citation: ama: Arguez NH. Mirror symmetry for the Tate curve via tropical and log corals. Journal of the London Mathematical Society. 2022;105(1):343-411. doi:10.1112/jlms.12515 apa: Arguez, N. H. (2022). Mirror symmetry for the Tate curve via tropical and log corals. Journal of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/jlms.12515 chicago: Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” Journal of the London Mathematical Society. London Mathematical Society, 2022. https://doi.org/10.1112/jlms.12515. ieee: N. H. Arguez, “Mirror symmetry for the Tate curve via tropical and log corals,” Journal of the London Mathematical Society, vol. 105, no. 1. London Mathematical Society, pp. 343–411, 2022. ista: Arguez NH. 2022. Mirror symmetry for the Tate curve via tropical and log corals. Journal of the London Mathematical Society. 105(1), 343–411. mla: Arguez, Nuroemuer Huelya. “Mirror Symmetry for the Tate Curve via Tropical and Log Corals.” Journal of the London Mathematical Society, vol. 105, no. 1, London Mathematical Society, 2022, pp. 343–411, doi:10.1112/jlms.12515. short: N.H. Arguez, Journal of the London Mathematical Society 105 (2022) 343–411. corr_author: '1' date_created: 2022-02-20T23:01:33Z date_published: 2022-02-05T00:00:00Z date_updated: 2024-10-09T21:01:37Z day: '05' ddc: - '510' department: - _id: TaHa doi: 10.1112/jlms.12515 external_id: arxiv: - '1712.10260' isi: - '000751600600001' file: - access_level: open_access checksum: 8bd0fd9694be894a191857ddf27678f0 content_type: application/pdf creator: dernst date_created: 2022-02-21T11:22:58Z date_updated: 2022-02-21T11:22:58Z file_id: '10783' file_name: 2022_JournLondonMathSociety_Arguez.pdf file_size: 936873 relation: main_file success: 1 file_date_updated: 2022-02-21T11:22:58Z has_accepted_license: '1' intvolume: ' 105' isi: 1 issue: '1' language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: 343-411 publication: Journal of the London Mathematical Society publication_identifier: eissn: - 1469-7750 issn: - 0024-6107 publication_status: published publisher: London Mathematical Society quality_controlled: '1' scopus_import: '1' status: public title: Mirror symmetry for the Tate curve via tropical and log corals tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 105 year: '2022' ... --- _id: '10773' abstract: - lang: eng text: The Voronoi tessellation in Rd is defined by locally minimizing the power distance to given weighted points. Symmetrically, the Delaunay mosaic can be defined by locally maximizing the negative power distance to other such points. We prove that the average of the two piecewise quadratic functions is piecewise linear, and that all three functions have the same critical points and values. Discretizing the two piecewise quadratic functions, we get the alpha shapes as sublevel sets of the discrete function on the Delaunay mosaic, and analogous shapes as superlevel sets of the discrete function on the Voronoi tessellation. For the same non-critical value, the corresponding shapes are disjoint, separated by a narrow channel that contains no critical points but the entire level set of the piecewise linear function. acknowledgement: Open access funding provided by the Institute of Science and Technology (IST Austria). article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Ranita full_name: Biswas, Ranita id: 3C2B033E-F248-11E8-B48F-1D18A9856A87 last_name: Biswas orcid: 0000-0002-5372-7890 - first_name: Sebastiano full_name: Cultrera Di Montesano, Sebastiano id: 34D2A09C-F248-11E8-B48F-1D18A9856A87 last_name: Cultrera Di Montesano orcid: 0000-0001-6249-0832 - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Morteza full_name: Saghafian, Morteza last_name: Saghafian citation: ama: Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 2022;67:811-842. doi:10.1007/s00454-022-00371-2 apa: Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2022). Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-022-00371-2 chicago: Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry. Springer Nature, 2022. https://doi.org/10.1007/s00454-022-00371-2. ieee: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics,” Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842, 2022. ista: Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 67, 811–842. mla: Biswas, Ranita, et al. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry, vol. 67, Springer Nature, 2022, pp. 811–42, doi:10.1007/s00454-022-00371-2. short: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 67 (2022) 811–842. corr_author: '1' date_created: 2022-02-20T23:01:34Z date_published: 2022-04-01T00:00:00Z date_updated: 2024-10-09T21:01:38Z day: '01' ddc: - '510' department: - _id: HeEd doi: 10.1007/s00454-022-00371-2 external_id: isi: - '000752175300002' file: - access_level: open_access checksum: 9383d3b70561bacee905e335dc922680 content_type: application/pdf creator: dernst date_created: 2022-08-02T06:07:55Z date_updated: 2022-08-02T06:07:55Z file_id: '11718' file_name: 2022_DiscreteCompGeometry_Biswas.pdf file_size: 2518111 relation: main_file success: 1 file_date_updated: 2022-08-02T06:07:55Z has_accepted_license: '1' intvolume: ' 67' isi: 1 language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 811-842 publication: Discrete and Computational Geometry publication_identifier: eissn: - 1432-0444 issn: - 0179-5376 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics 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: 67 year: '2022' ... --- _id: '10774' abstract: - lang: eng text: We study the problem of specifying sequential information-flow properties of systems. Information-flow properties are hyperproperties, as they compare different traces of a system. Sequential information-flow properties can express changes, over time, in the information-flow constraints. For example, information-flow constraints during an initialization phase of a system may be different from information-flow constraints that are required during the operation phase. We formalize several variants of interpreting sequential information-flow constraints, which arise from different assumptions about what can be observed of the system. For this purpose, we introduce a first-order logic, called Hypertrace Logic, with both trace and time quantifiers for specifying linear-time hyperproperties. We prove that HyperLTL, which corresponds to a fragment of Hypertrace Logic with restricted quantifier prefixes, cannot specify the majority of the studied variants of sequential information flow, including all variants in which the transition between sequential phases (such as initialization and operation) happens asynchronously. Our results rely on new equivalences between sets of traces that cannot be distinguished by certain classes of formulas from Hypertrace Logic. This presents a new approach to proving inexpressiveness results for HyperLTL. acknowledgement: This work was funded in part by the Wittgenstein Award Z211-N23 of the Austrian Science Fund (FWF) and by the FWF project W1255-N23. alternative_title: - LNCS article_processing_charge: No arxiv: 1 author: - first_name: Ezio full_name: Bartocci, Ezio last_name: Bartocci - first_name: Thomas full_name: Ferrere, Thomas id: 40960E6E-F248-11E8-B48F-1D18A9856A87 last_name: Ferrere orcid: 0000-0001-5199-3143 - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 - first_name: Dejan full_name: Nickovic, Dejan id: 41BCEE5C-F248-11E8-B48F-1D18A9856A87 last_name: Nickovic - first_name: Ana Oliveira full_name: Da Costa, Ana Oliveira last_name: Da Costa citation: ama: 'Bartocci E, Ferrere T, Henzinger TA, Nickovic D, Da Costa AO. Flavors of sequential information flow. In: Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol 13182. Springer Nature; 2022:1-19. doi:10.1007/978-3-030-94583-1_1' apa: 'Bartocci, E., Ferrere, T., Henzinger, T. A., Nickovic, D., & Da Costa, A. O. (2022). Flavors of sequential information flow. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 13182, pp. 1–19). Philadelphia, PA, United States: Springer Nature. https://doi.org/10.1007/978-3-030-94583-1_1' chicago: Bartocci, Ezio, Thomas Ferrere, Thomas A Henzinger, Dejan Nickovic, and Ana Oliveira Da Costa. “Flavors of Sequential Information Flow.” In Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 13182:1–19. Springer Nature, 2022. https://doi.org/10.1007/978-3-030-94583-1_1. ieee: E. Bartocci, T. Ferrere, T. A. Henzinger, D. Nickovic, and A. O. Da Costa, “Flavors of sequential information flow,” in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Philadelphia, PA, United States, 2022, vol. 13182, pp. 1–19. ista: 'Bartocci E, Ferrere T, Henzinger TA, Nickovic D, Da Costa AO. 2022. Flavors of sequential information flow. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). VMCAI: Verifcation, Model Checking, and Abstract Interpretation, LNCS, vol. 13182, 1–19.' mla: Bartocci, Ezio, et al. “Flavors of Sequential Information Flow.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13182, Springer Nature, 2022, pp. 1–19, doi:10.1007/978-3-030-94583-1_1. short: E. Bartocci, T. Ferrere, T.A. Henzinger, D. Nickovic, A.O. Da Costa, in:, Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Springer Nature, 2022, pp. 1–19. conference: end_date: 2022-01-18 location: Philadelphia, PA, United States name: 'VMCAI: Verifcation, Model Checking, and Abstract Interpretation' start_date: 2022-01-16 date_created: 2022-02-20T23:01:34Z date_published: 2022-01-14T00:00:00Z date_updated: 2026-04-16T09:13:43Z day: '14' department: - _id: ToHe doi: 10.1007/978-3-030-94583-1_1 external_id: arxiv: - '2105.02013' isi: - '001059208500001' intvolume: ' 13182' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: ' https://doi.org/10.48550/arXiv.2105.02013' month: '01' oa: 1 oa_version: Preprint page: 1-19 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: Formal methods for the design and analysis of complex systems publication: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) publication_identifier: eisbn: - '9783030945831' eissn: - 1611-3349 isbn: - '9783030945824' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Flavors of sequential information flow type: conference user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd volume: 13182 year: '2022' ... --- _id: '10775' abstract: - lang: eng text: List-decodability of Reed–Solomon codes has received a lot of attention, but the best-possible dependence between the parameters is still not well-understood. In this work, we focus on the case where the list-decoding radius is of the form r = 1-ε for ε tending to zero. Our main result states that there exist Reed–Solomon codes with rate Ω(ε) which are (1 - ε, O(1/ε))-list-decodable, meaning that any Hamming ball of radius 1-ε contains at most O(1/ε) codewords. This trade-off between rate and list-decoding radius is best-possible for any code with list size less than exponential in the block length. By achieving this trade-off between rate and list-decoding radius we improve a recent result of Guo, Li, Shangguan, Tamo, and Wootters, and resolve the main motivating question of their work. Moreover, while their result requires the field to be exponentially large in the block length, we only need the field size to be polynomially large (and in fact, almost-linear suffices). We deduce our main result from a more general theorem, in which we prove good list-decodability properties of random puncturings of any given code with very large distance. acknowledgement: Research supported by NSF Award DMS-1953990. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Asaf full_name: Ferber, Asaf last_name: Ferber - first_name: Matthew Alan full_name: Kwan, Matthew Alan id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3 last_name: Kwan orcid: 0000-0002-4003-7567 - first_name: Lisa full_name: Sauermann, Lisa last_name: Sauermann citation: ama: Ferber A, Kwan MA, Sauermann L. List-decodability with large radius for Reed-Solomon codes. IEEE Transactions on Information Theory. 2022;68(6):3823-3828. doi:10.1109/TIT.2022.3148779 apa: Ferber, A., Kwan, M. A., & Sauermann, L. (2022). List-decodability with large radius for Reed-Solomon codes. IEEE Transactions on Information Theory. IEEE. https://doi.org/10.1109/TIT.2022.3148779 chicago: Ferber, Asaf, Matthew Alan Kwan, and Lisa Sauermann. “List-Decodability with Large Radius for Reed-Solomon Codes.” IEEE Transactions on Information Theory. IEEE, 2022. https://doi.org/10.1109/TIT.2022.3148779. ieee: A. Ferber, M. A. Kwan, and L. Sauermann, “List-decodability with large radius for Reed-Solomon codes,” IEEE Transactions on Information Theory, vol. 68, no. 6. IEEE, pp. 3823–3828, 2022. ista: Ferber A, Kwan MA, Sauermann L. 2022. List-decodability with large radius for Reed-Solomon codes. IEEE Transactions on Information Theory. 68(6), 3823–3828. mla: Ferber, Asaf, et al. “List-Decodability with Large Radius for Reed-Solomon Codes.” IEEE Transactions on Information Theory, vol. 68, no. 6, IEEE, 2022, pp. 3823–28, doi:10.1109/TIT.2022.3148779. short: A. Ferber, M.A. Kwan, L. Sauermann, IEEE Transactions on Information Theory 68 (2022) 3823–3828. corr_author: '1' date_created: 2022-02-20T23:01:34Z date_published: 2022-06-01T00:00:00Z date_updated: 2025-07-10T11:50:08Z day: '01' department: - _id: MaKw doi: 10.1109/TIT.2022.3148779 external_id: arxiv: - '2012.10584' isi: - '000799622500022' intvolume: ' 68' isi: 1 issue: '6' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2012.10584 month: '06' oa: 1 oa_version: Preprint page: 3823-3828 publication: IEEE Transactions on Information Theory publication_identifier: eissn: - 1557-9654 issn: - 0018-9448 publication_status: published publisher: IEEE quality_controlled: '1' related_material: record: - id: '11145' relation: earlier_version status: public scopus_import: '1' status: public title: List-decodability with large radius for Reed-Solomon codes type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 68 year: '2022' ... --- _id: '10776' abstract: - lang: eng text: 'Let K be a convex body in Rn (i.e., a compact convex set with nonempty interior). Given a point p in the interior of K, a hyperplane h passing through p is called barycentric if p is the barycenter of K∩h. In 1961, Grünbaum raised the question whether, for every K, there exists an interior point p through which there are at least n+1 distinct barycentric hyperplanes. Two years later, this was seemingly resolved affirmatively by showing that this is the case if p=p0 is the point of maximal depth in K. However, while working on a related question, we noticed that one of the auxiliary claims in the proof is incorrect. Here, we provide a counterexample; this re-opens Grünbaum’s question. It follows from known results that for n≥2, there are always at least three distinct barycentric cuts through the point p0∈K of maximal depth. Using tools related to Morse theory we are able to improve this bound: four distinct barycentric cuts through p0 are guaranteed if n≥3.' acknowledgement: The work by Zuzana Patáková has been partially supported by Charles University Research Center Program No. UNCE/SCI/022, and part of it was done during her research stay at IST Austria. The work by Martin Tancer is supported by the GAČR Grant 19-04113Y and by the Charles University Projects PRIMUS/17/SCI/3 and UNCE/SCI/004. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Zuzana full_name: Patakova, Zuzana id: 48B57058-F248-11E8-B48F-1D18A9856A87 last_name: Patakova orcid: 0000-0002-3975-1683 - first_name: Martin full_name: Tancer, Martin last_name: Tancer - first_name: Uli full_name: Wagner, Uli id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: Patakova Z, Tancer M, Wagner U. Barycentric cuts through a convex body. Discrete and Computational Geometry. 2022;68:1133-1154. doi:10.1007/s00454-021-00364-7 apa: Patakova, Z., Tancer, M., & Wagner, U. (2022). Barycentric cuts through a convex body. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-021-00364-7 chicago: Patakova, Zuzana, Martin Tancer, and Uli Wagner. “Barycentric Cuts through a Convex Body.” Discrete and Computational Geometry. Springer Nature, 2022. https://doi.org/10.1007/s00454-021-00364-7. ieee: Z. Patakova, M. Tancer, and U. Wagner, “Barycentric cuts through a convex body,” Discrete and Computational Geometry, vol. 68. Springer Nature, pp. 1133–1154, 2022. ista: Patakova Z, Tancer M, Wagner U. 2022. Barycentric cuts through a convex body. Discrete and Computational Geometry. 68, 1133–1154. mla: Patakova, Zuzana, et al. “Barycentric Cuts through a Convex Body.” Discrete and Computational Geometry, vol. 68, Springer Nature, 2022, pp. 1133–54, doi:10.1007/s00454-021-00364-7. short: Z. Patakova, M. Tancer, U. Wagner, Discrete and Computational Geometry 68 (2022) 1133–1154. date_created: 2022-02-20T23:01:35Z date_published: 2022-12-01T00:00:00Z date_updated: 2023-08-02T14:38:58Z day: '01' department: - _id: UlWa doi: 10.1007/s00454-021-00364-7 external_id: arxiv: - '2003.13536' isi: - '000750681500001' intvolume: ' 68' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2003.13536 month: '12' oa: 1 oa_version: Preprint page: 1133-1154 publication: Discrete and Computational Geometry publication_identifier: eissn: - 1432-0444 issn: - 0179-5376 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Barycentric cuts through a convex body type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 68 year: '2022' ... --- _id: '10787' abstract: - lang: eng text: "A species distributed across diverse environments may adapt to local conditions. We ask how quickly such a species changes its range in response to changed conditions. Szép et al. (Szép E, Sachdeva H, Barton NH. 2021 Polygenic local adaptation in metapopulations: a stochastic eco-evolutionary model. Evolution75, 1030–1045 (doi:10.1111/evo.14210)) used the infinite island model to find the stationary distribution of allele frequencies and deme sizes. We extend this to find how a metapopulation responds to changes in carrying capacity, selection strength, or migration rate when deme sizes are fixed. We further develop a ‘fixed-state’ approximation. Under this approximation, polymorphism is only possible for a narrow range of habitat proportions when selection is weak compared to drift, but for a much wider range otherwise. When rates of selection or migration relative to drift change in a single deme of the metapopulation, the population takes a time of order m−1 to reach the new equilibrium. However, even with many loci, there can be substantial fluctuations in net adaptation, because at each locus, alleles randomly get lost or fixed. Thus, in a finite metapopulation, variation may gradually be lost by chance, even if it would persist in an infinite metapopulation. When conditions change across the whole metapopulation, there can be rapid change, which is predicted well by the fixed-state approximation. This work helps towards an understanding of how metapopulations extend their range across diverse environments.\r\nThis article is part of the theme issue ‘Species’ ranges in the face of changing environments (Part II)’." acknowledgement: This research was partly funded by the Austrian Science Fund (FWF) [FWF P-32896B]. article_processing_charge: No article_type: original author: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Oluwafunmilola O full_name: Olusanya, Oluwafunmilola O id: 41AD96DC-F248-11E8-B48F-1D18A9856A87 last_name: Olusanya orcid: 0000-0003-1971-8314 citation: ama: 'Barton NH, Olusanya OO. The response of a metapopulation to a changing environment. Philosophical Transactions of the Royal Society B: Biological Sciences. 2022;377(1848). doi:10.1098/rstb.2021.0009' apa: 'Barton, N. H., & Olusanya, O. O. (2022). The response of a metapopulation to a changing environment. Philosophical Transactions of the Royal Society B: Biological Sciences. The Royal Society. https://doi.org/10.1098/rstb.2021.0009' chicago: 'Barton, Nicholas H, and Oluwafunmilola O Olusanya. “The Response of a Metapopulation to a Changing Environment.” Philosophical Transactions of the Royal Society B: Biological Sciences. The Royal Society, 2022. https://doi.org/10.1098/rstb.2021.0009.' ieee: 'N. H. Barton and O. O. Olusanya, “The response of a metapopulation to a changing environment,” Philosophical Transactions of the Royal Society B: Biological Sciences, vol. 377, no. 1848. The Royal Society, 2022.' ista: 'Barton NH, Olusanya OO. 2022. The response of a metapopulation to a changing environment. Philosophical Transactions of the Royal Society B: Biological Sciences. 377(1848).' mla: 'Barton, Nicholas H., and Oluwafunmilola O. Olusanya. “The Response of a Metapopulation to a Changing Environment.” Philosophical Transactions of the Royal Society B: Biological Sciences, vol. 377, no. 1848, The Royal Society, 2022, doi:10.1098/rstb.2021.0009.' short: 'N.H. Barton, O.O. Olusanya, Philosophical Transactions of the Royal Society B: Biological Sciences 377 (2022).' corr_author: '1' date_created: 2022-02-21T16:08:10Z date_published: 2022-04-11T00:00:00Z date_updated: 2026-04-07T12:54:28Z day: '11' ddc: - '570' department: - _id: GradSch - _id: NiBa doi: 10.1098/rstb.2021.0009 external_id: isi: - '000758140300001' pmid: - '35184588' file: - access_level: open_access checksum: 3b0243738f01bf3c07e0d7e8dc64f71d content_type: application/pdf creator: dernst date_created: 2022-08-02T06:14:32Z date_updated: 2022-08-02T06:14:32Z file_id: '11719' file_name: 2022_PhilosophicalTransactionsRSB_Barton.pdf file_size: 1349672 relation: main_file success: 1 file_date_updated: 2022-08-02T06:14:32Z has_accepted_license: '1' intvolume: ' 377' isi: 1 issue: '1848' keyword: - General Agricultural and Biological Sciences - General Biochemistry - Genetics and Molecular Biology language: - iso: eng month: '04' oa: 1 oa_version: Published Version pmid: 1 project: - _id: c08d3278-5a5b-11eb-8a69-fdb09b55f4b8 grant_number: P32896 name: Causes and consequences of population fragmentation publication: 'Philosophical Transactions of the Royal Society B: Biological Sciences' publication_identifier: eissn: - 1471-2970 issn: - 0962-8436 publication_status: published publisher: The Royal Society quality_controlled: '1' related_material: record: - id: '14711' relation: dissertation_contains status: public scopus_import: '1' status: public title: The response of a metapopulation to a changing environment 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: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 377 year: '2022' ... --- _id: '10788' abstract: - lang: eng text: "We determine an asymptotic formula for the number of integral points of\r\nbounded height on a certain toric variety, which is incompatible with part of a\r\npreprint by Chambert-Loir and Tschinkel. We provide an alternative\r\ninterpretation of the asymptotic formula we get. To do so, we construct an\r\nanalogue of Peyre's constant $\\alpha$ and describe its relation to a new\r\nobstruction to the Zariski density of integral points in certain regions of\r\nvarieties." acknowledgement: "Part of this work was conducted as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.\r\nDuring this time, I had interesting and fruitful discussions on the interpretation of the result for\r\nthe toric variety discussed in Section 3 with Antoine Chambert-Loir. I wish to thank him for these\r\nopportunities and for his useful remarks on earlier versions of this article. This work was partly\r\nfunded by FWF grant P 32428-N35." article_number: '2202.10909' article_processing_charge: No arxiv: 1 author: - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv. doi:10.48550/arXiv.2202.10909 apa: Wilsch, F. A. (n.d.). Integral points of bounded height on a certain toric variety. arXiv. https://doi.org/10.48550/arXiv.2202.10909 chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2202.10909. ieee: F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. . ista: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv, 2202.10909. mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, 2202.10909, doi:10.48550/arXiv.2202.10909. short: F.A. Wilsch, ArXiv (n.d.). corr_author: '1' date_created: 2022-02-23T09:04:43Z date_published: 2022-02-22T00:00:00Z date_updated: 2025-04-15T07:39:01Z day: '22' department: - _id: TiBr doi: 10.48550/arXiv.2202.10909 external_id: arxiv: - '2202.10909' keyword: - Integral point - toric variety - Manin's conjecture language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2202.10909 month: '02' oa: 1 oa_version: Preprint project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: arXiv publication_status: submitted status: public title: Integral points of bounded height on a certain toric variety type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '10791' abstract: - lang: eng text: The mammalian neocortex is composed of diverse neuronal and glial cell classes that broadly arrange in six distinct laminae. Cortical layers emerge during development and defects in the developmental programs that orchestrate cortical lamination are associated with neurodevelopmental diseases. The developmental principle of cortical layer formation depends on concerted radial projection neuron migration, from their birthplace to their final target position. Radial migration occurs in defined sequential steps, regulated by a large array of signaling pathways. However, based on genetic loss-of-function experiments, most studies have thus far focused on the role of cell-autonomous gene function. Yet, cortical neuron migration in situ is a complex process and migrating neurons traverse along diverse cellular compartments and environments. The role of tissue-wide properties and genetic state in radial neuron migration is however not clear. Here we utilized mosaic analysis with double markers (MADM) technology to either sparsely or globally delete gene function, followed by quantitative single-cell phenotyping. The MADM-based gene ablation paradigms in combination with computational modeling demonstrated that global tissue-wide effects predominate cell-autonomous gene function albeit in a gene-specific manner. Our results thus suggest that the genetic landscape in a tissue critically affects the overall migration phenotype of individual cortical projection neurons. In a broader context, our findings imply that global tissue-wide effects represent an essential component of the underlying etiology associated with focal malformations of cortical development in particular, and neurological diseases in general. acknowledged_ssus: - _id: LifeSc - _id: PreCl - _id: Bio acknowledgement: "A.H.H. was a recipient of a DOC Fellowship (24812) of the Austrian Academy of Sciences. This work also received support from IST Austria institutional funds; the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013) under REA grant agreement No 618444 to S.H.\r\nAPC funding was obtained by IST Austria institutional funds.\r\nWe thank A. Sommer and C. Czepe (VBCF GmbH, NGS Unit), L. Andersen, J. Sonntag and J. Renno for technical support and/or initial experiments; M. Sixt, J. Nimpf and all members of the Hippenmeyer lab for discussion. This research was supported by the Scientific Service Units of IST Austria through resources provided by the Imaging and Optics Facility, Lab Support Facility and Preclinical Facility." article_number: kvac009 article_processing_charge: No article_type: original author: - first_name: Andi H full_name: Hansen, Andi H id: 38853E16-F248-11E8-B48F-1D18A9856A87 last_name: Hansen - first_name: Florian full_name: Pauler, Florian id: 48EA0138-F248-11E8-B48F-1D18A9856A87 last_name: Pauler orcid: 0000-0002-7462-0048 - first_name: Michael full_name: Riedl, Michael id: 3BE60946-F248-11E8-B48F-1D18A9856A87 last_name: Riedl orcid: 0000-0003-4844-6311 - first_name: Carmen full_name: Streicher, Carmen id: 36BCB99C-F248-11E8-B48F-1D18A9856A87 last_name: Streicher - first_name: Anna-Magdalena full_name: Heger, Anna-Magdalena id: 4B76FFD2-F248-11E8-B48F-1D18A9856A87 last_name: Heger - first_name: Susanne full_name: Laukoter, Susanne id: 2D6B7A9A-F248-11E8-B48F-1D18A9856A87 last_name: Laukoter orcid: 0000-0002-7903-3010 - first_name: Christoph M full_name: Sommer, Christoph M id: 4DF26D8C-F248-11E8-B48F-1D18A9856A87 last_name: Sommer orcid: 0000-0003-1216-9105 - first_name: Armel full_name: Nicolas, Armel id: 2A103192-F248-11E8-B48F-1D18A9856A87 last_name: Nicolas - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 - first_name: Li Huei full_name: Tsai, Li Huei last_name: Tsai - first_name: Thomas full_name: Rülicke, Thomas last_name: Rülicke - first_name: Simon full_name: Hippenmeyer, Simon id: 37B36620-F248-11E8-B48F-1D18A9856A87 last_name: Hippenmeyer orcid: 0000-0003-2279-1061 citation: ama: Hansen AH, Pauler F, Riedl M, et al. Tissue-wide effects override cell-intrinsic gene function in radial neuron migration. Oxford Open Neuroscience. 2022;1(1). doi:10.1093/oons/kvac009 apa: Hansen, A. H., Pauler, F., Riedl, M., Streicher, C., Heger, A.-M., Laukoter, S., … Hippenmeyer, S. (2022). Tissue-wide effects override cell-intrinsic gene function in radial neuron migration. Oxford Open Neuroscience. Oxford University Press. https://doi.org/10.1093/oons/kvac009 chicago: Hansen, Andi H, Florian Pauler, Michael Riedl, Carmen Streicher, Anna-Magdalena Heger, Susanne Laukoter, Christoph M Sommer, et al. “Tissue-Wide Effects Override Cell-Intrinsic Gene Function in Radial Neuron Migration.” Oxford Open Neuroscience. Oxford University Press, 2022. https://doi.org/10.1093/oons/kvac009. ieee: A. H. Hansen et al., “Tissue-wide effects override cell-intrinsic gene function in radial neuron migration,” Oxford Open Neuroscience, vol. 1, no. 1. Oxford University Press, 2022. ista: Hansen AH, Pauler F, Riedl M, Streicher C, Heger A-M, Laukoter S, Sommer CM, Nicolas A, Hof B, Tsai LH, Rülicke T, Hippenmeyer S. 2022. Tissue-wide effects override cell-intrinsic gene function in radial neuron migration. Oxford Open Neuroscience. 1(1), kvac009. mla: Hansen, Andi H., et al. “Tissue-Wide Effects Override Cell-Intrinsic Gene Function in Radial Neuron Migration.” Oxford Open Neuroscience, vol. 1, no. 1, kvac009, Oxford University Press, 2022, doi:10.1093/oons/kvac009. short: A.H. Hansen, F. Pauler, M. Riedl, C. Streicher, A.-M. Heger, S. Laukoter, C.M. Sommer, A. Nicolas, B. Hof, L.H. Tsai, T. Rülicke, S. Hippenmeyer, Oxford Open Neuroscience 1 (2022). corr_author: '1' date_created: 2022-02-25T07:52:11Z date_published: 2022-07-07T00:00:00Z date_updated: 2026-04-07T13:29:13Z day: '07' ddc: - '570' department: - _id: SiHi - _id: BjHo - _id: LifeSc - _id: EM-Fac doi: 10.1093/oons/kvac009 ec_funded: 1 external_id: pmid: - '38596707' file: - access_level: open_access checksum: 822e76e056c07099d1fb27d1ece5941b content_type: application/pdf creator: dernst date_created: 2023-08-16T08:00:30Z date_updated: 2023-08-16T08:00:30Z file_id: '14061' file_name: 2023_OxfordOpenNeuroscience_Hansen.pdf file_size: 4846551 relation: main_file success: 1 file_date_updated: 2023-08-16T08:00:30Z has_accepted_license: '1' intvolume: ' 1' issue: '1' language: - iso: eng month: '07' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 25D61E48-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '618444' name: Molecular Mechanisms of Cerebral Cortex Development - _id: 2625A13E-B435-11E9-9278-68D0E5697425 grant_number: '24812' name: Molecular mechanisms of radial neuronal migration publication: Oxford Open Neuroscience publication_identifier: eissn: - 2753-149X publication_status: published publisher: Oxford University Press quality_controlled: '1' related_material: record: - id: '12726' relation: dissertation_contains status: public - id: '14530' relation: dissertation_contains status: public status: public title: Tissue-wide effects override cell-intrinsic gene function in radial neuron migration 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: 1 year: '2022' ... --- _id: '10792' abstract: - lang: eng text: "Background\r\nProper cerebral cortical development depends on the tightly orchestrated migration of newly born neurons from the inner ventricular and subventricular zones to the outer cortical plate. Any disturbance in this process during prenatal stages may lead to neuronal migration disorders (NMDs), which can vary in extent from focal to global. Furthermore, NMDs show a substantial comorbidity with other neurodevelopmental disorders, notably autism spectrum disorders (ASDs). Our previous work demonstrated focal neuronal migration defects in mice carrying loss-of-function alleles of the recognized autism risk gene WDFY3. However, the cellular origins of these defects in Wdfy3 mutant mice remain elusive and uncovering it will provide critical insight into WDFY3-dependent disease pathology .\r\nMethods\r\nHere, in an effort to untangle the origins of NMDs in Wdfy3lacZ mice, we employed mosaic analysis with double markers (MADM). MADM technology enabled us to genetically distinctly track and phenotypically analyze mutant and wild type cells concomitantly in vivo using immunofluorescent techniques.\r\nResults\r\nWe revealed a cell autonomous requirement of WDFY3 for accurate laminar positioning of cortical projection neurons and elimination of mispositioned cells during early postnatal life. In addition, we identified significant deviations in dendritic arborization, as well as synaptic density and morphology between wild type, heterozygous, and homozygous Wdfy3 mutant neurons in Wdfy3-MADM reporter mice at postnatal stages. Limitations While Wdfy3 mutant mice have provided valuable insight into prenatal aspects of ASD pathology that remain inaccessible to investigation in humans, like most animal models, they do not a perfectly replicate all aspects of human ASD biology. The lack of human data makes it indeterminate whether morphological deviations described here apply to ASD patients.\r\nConclusions\r\n\uFEFFOur genetic approach revealed several cell autonomous requirements of Wdfy3 in neuronal development that could underly the pathogenic mechanisms of WDFY3-related ASD conditions. The results are also consistent with findings in other ASD animal models and patients and suggest an important role for Wdfy3 in regulating neuronal function and interconnectivity in postnatal life." article_processing_charge: No author: - first_name: Zachary full_name: Schaaf, Zachary last_name: Schaaf - first_name: Lyvin full_name: Tat, Lyvin last_name: Tat - first_name: Noemi full_name: Cannizzaro, Noemi last_name: Cannizzaro - first_name: Ralph full_name: Green, Ralph last_name: Green - first_name: Thomas full_name: Rülicke, Thomas last_name: Rülicke - first_name: Simon full_name: Hippenmeyer, Simon id: 37B36620-F248-11E8-B48F-1D18A9856A87 last_name: Hippenmeyer orcid: 0000-0003-2279-1061 - first_name: K full_name: Zarbalis, K last_name: Zarbalis citation: ama: Schaaf Z, Tat L, Cannizzaro N, et al. WDFY3 cell autonomously controls neuronal migration. doi:10.21203/rs.3.rs-1316167/v1 apa: Schaaf, Z., Tat, L., Cannizzaro, N., Green, R., Rülicke, T., Hippenmeyer, S., & Zarbalis, K. (n.d.). WDFY3 cell autonomously controls neuronal migration. Research Square. https://doi.org/10.21203/rs.3.rs-1316167/v1 chicago: Schaaf, Zachary, Lyvin Tat, Noemi Cannizzaro, Ralph Green, Thomas Rülicke, Simon Hippenmeyer, and K Zarbalis. “WDFY3 Cell Autonomously Controls Neuronal Migration.” Research Square, n.d. https://doi.org/10.21203/rs.3.rs-1316167/v1. ieee: Z. Schaaf et al., “WDFY3 cell autonomously controls neuronal migration.” Research Square. ista: Schaaf Z, Tat L, Cannizzaro N, Green R, Rülicke T, Hippenmeyer S, Zarbalis K. WDFY3 cell autonomously controls neuronal migration. 10.21203/rs.3.rs-1316167/v1. mla: Schaaf, Zachary, et al. WDFY3 Cell Autonomously Controls Neuronal Migration. Research Square, doi:10.21203/rs.3.rs-1316167/v1. short: Z. Schaaf, L. Tat, N. Cannizzaro, R. Green, T. Rülicke, S. Hippenmeyer, K. Zarbalis, (n.d.). date_created: 2022-02-25T07:53:26Z date_published: 2022-02-16T00:00:00Z date_updated: 2023-10-17T13:06:52Z day: '16' department: - _id: SiHi doi: 10.21203/rs.3.rs-1316167/v1 external_id: pmid: - PPR454733 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.21203/rs.3.rs-1316167/v1 month: '02' oa: 1 oa_version: Preprint page: '30' pmid: 1 publication_identifier: eissn: - 2693-5015 publication_status: submitted publisher: Research Square status: public title: WDFY3 cell autonomously controls neuronal migration 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: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '10797' abstract: - lang: eng text: We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then we derive new orthogonal polynomial dualities. From the classical dualities, we derive the uniqueness of the non-equilibrium steady state and obtain correlation inequalities. Starting from the orthogonal polynomial dualities, we show universal properties of n-point correlation functions in the non-equilibrium steady state for systems with at most two different reservoir parameters, such as a chain with reservoirs at left and right ends. - lang: fre text: Nous considérons des processus d’exclusion partielle, et des processus d’inclusion sur un graphe général en contact avec des réservoirs. Nous autorisons la présence de inhomogenéités sur les arrêts ainsi que sur les sommets du graph. Nous généralisons les “dualités classiques” dans ce contexte et nous démontrons des nouvelles dualités orthogonales. À partir des dualités classiques, nous démontrons l’unicité de l’état stationnaire non-équilibre, ainsi que des inégalités de corrélation. À partir des dualités orthogonales nous démontrons des propriétés universelles des fonctions de corrélation à n points dans l’état stationnaire non-équilibre pour des systèmes avec deux paramètres de réservoirs inégaux, comme par exemple une chaîne avec des réservoirs à droite et à gauche. acknowledgement: The authors would like to thank Gioia Carinci and Cristian Giardinà for useful discussions. F.R. and S.F. thank Jean-René Chazottes for a stay at CPHT (Institut Polytechnique de Paris), in the realm of Chaire d’Alembert (Paris-Saclay University), where part of this work was performed. S.F. acknowledges Simona Villa for her support in creating the picture. S.F. acknowledges financial support from NWO via the grant TOP1.17.019. F.S. acknowledges financial support from the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Simone full_name: Floreani, Simone last_name: Floreani - first_name: Frank full_name: Redig, Frank last_name: Redig - first_name: Federico full_name: Sau, Federico id: E1836206-9F16-11E9-8814-AEFDE5697425 last_name: Sau citation: ama: Floreani S, Redig F, Sau F. Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2022;58(1):220-247. doi:10.1214/21-AIHP1163 apa: Floreani, S., Redig, F., & Sau, F. (2022). Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/21-AIHP1163 chicago: Floreani, Simone, Frank Redig, and Federico Sau. “Orthogonal Polynomial Duality of Boundary Driven Particle Systems and Non-Equilibrium Correlations.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2022. https://doi.org/10.1214/21-AIHP1163. ieee: S. Floreani, F. Redig, and F. Sau, “Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 58, no. 1. Institute of Mathematical Statistics, pp. 220–247, 2022. ista: Floreani S, Redig F, Sau F. 2022. Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations. Annales de l’institut Henri Poincare (B) Probability and Statistics. 58(1), 220–247. mla: Floreani, Simone, et al. “Orthogonal Polynomial Duality of Boundary Driven Particle Systems and Non-Equilibrium Correlations.” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 58, no. 1, Institute of Mathematical Statistics, 2022, pp. 220–47, doi:10.1214/21-AIHP1163. short: S. Floreani, F. Redig, F. Sau, Annales de l’institut Henri Poincare (B) Probability and Statistics 58 (2022) 220–247. date_created: 2022-02-27T23:01:50Z date_published: 2022-02-01T00:00:00Z date_updated: 2025-04-14T07:43:48Z day: '01' department: - _id: JaMa doi: 10.1214/21-AIHP1163 ec_funded: 1 external_id: arxiv: - '2007.08272' isi: - '000752489300010' intvolume: ' 58' isi: 1 issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2007.08272 month: '02' oa: 1 oa_version: Preprint page: 220-247 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Annales de l'institut Henri Poincare (B) Probability and Statistics publication_identifier: issn: - 0246-0203 publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' scopus_import: '1' status: public title: Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 58 year: '2022' ... --- OA_place: publisher _id: '10799' abstract: - lang: eng text: "Because of the increasing popularity of machine learning methods, it is becoming important to understand the impact of learned components on automated decision-making systems and to guarantee that their consequences are beneficial to society. In other words, it is necessary to ensure that machine learning is sufficiently trustworthy to be used in real-world applications. This thesis studies two properties of machine learning models that are highly desirable for the\r\nsake of reliability: robustness and fairness. In the first part of the thesis we study the robustness of learning algorithms to training data corruption. Previous work has shown that machine learning models are vulnerable to a range\r\nof training set issues, varying from label noise through systematic biases to worst-case data manipulations. This is an especially relevant problem from a present perspective, since modern machine learning methods are particularly data hungry and therefore practitioners often have to rely on data collected from various external sources, e.g. from the Internet, from app users or via crowdsourcing. Naturally, such sources vary greatly in the quality and reliability of the\r\ndata they provide. With these considerations in mind, we study the problem of designing machine learning algorithms that are robust to corruptions in data coming from multiple sources. We show that, in contrast to the case of a single dataset with outliers, successful learning within this model is possible both theoretically and practically, even under worst-case data corruptions. The second part of this thesis deals with fairness-aware machine learning. There are multiple areas where machine learning models have shown promising results, but where careful considerations are required, in order to avoid discrimanative decisions taken by such learned components. Ensuring fairness can be particularly challenging, because real-world training datasets are expected to contain various forms of historical bias that may affect the learning process. In this thesis we show that data corruption can indeed render the problem of achieving fairness impossible, by tightly characterizing the theoretical limits of fair learning under worst-case data manipulations. However, assuming access to clean data, we also show how fairness-aware learning can be made practical in contexts beyond binary classification, in particular in the challenging learning to rank setting." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Nikola H full_name: Konstantinov, Nikola H id: 4B9D76E4-F248-11E8-B48F-1D18A9856A87 last_name: Konstantinov orcid: 0009-0009-5204-7621 citation: ama: Konstantinov NH. Robustness and fairness in machine learning. 2022. doi:10.15479/at:ista:10799 apa: Konstantinov, N. H. (2022). Robustness and fairness in machine learning. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10799 chicago: Konstantinov, Nikola H. “Robustness and Fairness in Machine Learning.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:10799. ieee: N. H. Konstantinov, “Robustness and fairness in machine learning,” Institute of Science and Technology Austria, 2022. ista: Konstantinov NH. 2022. Robustness and fairness in machine learning. Institute of Science and Technology Austria. mla: Konstantinov, Nikola H. Robustness and Fairness in Machine Learning. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:10799. short: N.H. Konstantinov, Robustness and Fairness in Machine Learning, Institute of Science and Technology Austria, 2022. corr_author: '1' date_created: 2022-02-28T13:03:49Z date_published: 2022-03-08T00:00:00Z date_updated: 2026-04-07T14:19:48Z day: '08' ddc: - '000' degree_awarded: PhD department: - _id: GradSch - _id: ChLa doi: 10.15479/at:ista:10799 ec_funded: 1 file: - access_level: open_access checksum: 626bc523ae8822d20e635d0e2d95182e content_type: application/pdf creator: nkonstan date_created: 2022-03-06T11:42:54Z date_updated: 2022-03-06T11:42:54Z file_id: '10823' file_name: thesis.pdf file_size: 4204905 relation: main_file success: 1 - access_level: closed checksum: e2ca2b88350ac8ea1515b948885cbcb1 content_type: application/x-zip-compressed creator: nkonstan date_created: 2022-03-06T11:42:57Z date_updated: 2022-03-10T12:11:48Z file_id: '10824' file_name: thesis.zip file_size: 22841103 relation: source_file file_date_updated: 2022-03-10T12:11:48Z has_accepted_license: '1' keyword: - robustness - fairness - machine learning - PAC learning - adversarial learning language: - iso: eng month: '03' oa: 1 oa_version: Published Version page: '176' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-015-2 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '10802' relation: part_of_dissertation status: public - id: '10803' relation: part_of_dissertation status: public - id: '6590' relation: part_of_dissertation status: public - id: '8724' relation: part_of_dissertation status: public status: public supervisor: - first_name: Christoph full_name: Lampert, Christoph id: 40C20FD2-F248-11E8-B48F-1D18A9856A87 last_name: Lampert orcid: 0000-0001-8622-7887 title: Robustness and fairness in machine learning type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2022' ... --- _id: '10802' abstract: - lang: eng text: "Addressing fairness concerns about machine learning models is a crucial step towards their long-term adoption in real-world automated systems. While many approaches have been developed for training fair models from data, little is known about the robustness of these methods to data corruption. In this work we consider fairness-aware learning under worst-case data manipulations. We show that an adversary can in some situations force any learner to return an overly biased classifier, regardless of the sample size and with or without degrading\r\naccuracy, and that the strength of the excess bias increases for learning problems with underrepresented protected groups in the data. We also prove that our hardness results are tight up to constant factors. To this end, we study two natural learning algorithms that optimize for both accuracy and fairness and show that these algorithms enjoy guarantees that are order-optimal in terms of the corruption ratio and the protected groups frequencies in the large data\r\nlimit." acknowledgement: The authors thank Eugenia Iofinova and Bernd Prach for providing feedback on early versions of this paper. This publication was made possible by an ETH AI Center postdoctoral fellowship to Nikola Konstantinov. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Nikola H full_name: Konstantinov, Nikola H id: 4B9D76E4-F248-11E8-B48F-1D18A9856A87 last_name: Konstantinov orcid: 0009-0009-5204-7621 - first_name: Christoph full_name: Lampert, Christoph id: 40C20FD2-F248-11E8-B48F-1D18A9856A87 last_name: Lampert orcid: 0000-0002-4561-241X citation: ama: Konstantinov NH, Lampert C. Fairness-aware PAC learning from corrupted data. Journal of Machine Learning Research. 2022;23:1-60. apa: Konstantinov, N. H., & Lampert, C. (2022). Fairness-aware PAC learning from corrupted data. Journal of Machine Learning Research. ML Research Press. chicago: Konstantinov, Nikola H, and Christoph Lampert. “Fairness-Aware PAC Learning from Corrupted Data.” Journal of Machine Learning Research. ML Research Press, 2022. ieee: N. H. Konstantinov and C. Lampert, “Fairness-aware PAC learning from corrupted data,” Journal of Machine Learning Research, vol. 23. ML Research Press, pp. 1–60, 2022. ista: Konstantinov NH, Lampert C. 2022. Fairness-aware PAC learning from corrupted data. Journal of Machine Learning Research. 23, 1–60. mla: Konstantinov, Nikola H., and Christoph Lampert. “Fairness-Aware PAC Learning from Corrupted Data.” Journal of Machine Learning Research, vol. 23, ML Research Press, 2022, pp. 1–60. short: N.H. Konstantinov, C. Lampert, Journal of Machine Learning Research 23 (2022) 1–60. corr_author: '1' date_created: 2022-02-28T14:05:42Z date_published: 2022-05-01T00:00:00Z date_updated: 2026-04-07T14:19:48Z day: '01' ddc: - '004' department: - _id: ChLa external_id: arxiv: - '2102.06004' file: - access_level: open_access checksum: 9cac897b54a0ddf3a553a2c33e88cfda content_type: application/pdf creator: kschuh date_created: 2022-07-12T15:08:28Z date_updated: 2022-07-12T15:08:28Z file_id: '11570' file_name: 2022_JournalMachineLearningResearch_Konstantinov.pdf file_size: 551862 relation: main_file success: 1 file_date_updated: 2022-07-12T15:08:28Z has_accepted_license: '1' intvolume: ' 23' keyword: - Fairness - robustness - data poisoning - trustworthy machine learning - PAC learning language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 1-60 publication: Journal of Machine Learning Research publication_identifier: eissn: - 1533-7928 issn: - 1532-4435 publication_status: published publisher: ML Research Press quality_controlled: '1' related_material: record: - id: '13241' relation: shorter_version status: public - id: '10799' relation: dissertation_contains status: public scopus_import: '1' status: public title: Fairness-aware PAC learning from corrupted data 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: 23 year: '2022' ... --- _id: '10812' abstract: - lang: eng text: Several promising strategies based on combining or cycling different antibiotics have been proposed to increase efficacy and counteract resistance evolution, but we still lack a deep understanding of the physiological responses and genetic mechanisms that underlie antibiotic interactions and the clinical applicability of these strategies. In antibiotic-exposed bacteria, the combined effects of physiological stress responses and emerging resistance mutations (occurring at different time scales) generate complex and often unpredictable dynamics. In this Review, we present our current understanding of bacterial cell physiology and genetics of responses to antibiotics. We emphasize recently discovered mechanisms of synergistic and antagonistic drug interactions, hysteresis in temporal interactions between antibiotics that arise from microbial physiology and interactions between antibiotics and resistance mutations that can cause collateral sensitivity or cross-resistance. We discuss possible connections between the different phenomena and indicate relevant research directions. A better and more unified understanding of drug and genetic interactions is likely to advance antibiotic therapy. acknowledgement: The authors thank B. Kavčič and H. Schulenburg for constructive feedback on the manuscript. article_processing_charge: No article_type: review author: - first_name: Roderich full_name: Römhild, Roderich id: 68E56E44-62B0-11EA-B963-444F3DDC885E last_name: Römhild orcid: 0000-0001-9480-5261 - first_name: Mark Tobias full_name: Bollenbach, Mark Tobias id: 3E6DB97A-F248-11E8-B48F-1D18A9856A87 last_name: Bollenbach orcid: 0000-0003-4398-476X - first_name: Dan I. full_name: Andersson, Dan I. last_name: Andersson citation: ama: Römhild R, Bollenbach MT, Andersson DI. The physiology and genetics of bacterial responses to antibiotic combinations. Nature Reviews Microbiology. 2022;20:478-490. doi:10.1038/s41579-022-00700-5 apa: Römhild, R., Bollenbach, M. T., & Andersson, D. I. (2022). The physiology and genetics of bacterial responses to antibiotic combinations. Nature Reviews Microbiology. Springer Nature. https://doi.org/10.1038/s41579-022-00700-5 chicago: Römhild, Roderich, Mark Tobias Bollenbach, and Dan I. Andersson. “The Physiology and Genetics of Bacterial Responses to Antibiotic Combinations.” Nature Reviews Microbiology. Springer Nature, 2022. https://doi.org/10.1038/s41579-022-00700-5. ieee: R. Römhild, M. T. Bollenbach, and D. I. Andersson, “The physiology and genetics of bacterial responses to antibiotic combinations,” Nature Reviews Microbiology, vol. 20. Springer Nature, pp. 478–490, 2022. ista: Römhild R, Bollenbach MT, Andersson DI. 2022. The physiology and genetics of bacterial responses to antibiotic combinations. Nature Reviews Microbiology. 20, 478–490. mla: Römhild, Roderich, et al. “The Physiology and Genetics of Bacterial Responses to Antibiotic Combinations.” Nature Reviews Microbiology, vol. 20, Springer Nature, 2022, pp. 478–90, doi:10.1038/s41579-022-00700-5. short: R. Römhild, M.T. Bollenbach, D.I. Andersson, Nature Reviews Microbiology 20 (2022) 478–490. date_created: 2022-03-04T04:33:49Z date_published: 2022-08-01T00:00:00Z date_updated: 2023-08-02T14:41:44Z day: '01' department: - _id: CaGu doi: 10.1038/s41579-022-00700-5 external_id: isi: - '000763891900001' pmid: - '35241807' intvolume: ' 20' isi: 1 keyword: - General Immunology and Microbiology - Microbiology - Infectious Diseases language: - iso: eng month: '08' oa_version: None page: 478-490 pmid: 1 publication: Nature Reviews Microbiology publication_identifier: eissn: - 1740-1534 issn: - 1740-1526 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: The physiology and genetics of bacterial responses to antibiotic combinations type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 20 year: '2022' ... --- _id: '10813' abstract: - lang: eng text: Redox mediators could catalyse otherwise slow and energy-inefficient cycling of Li–S and Li–O2 batteries by shuttling electrons or holes between the electrode and the solid insulating storage materials. For mediators to work efficiently they need to oxidize the solid with fast kinetics but with the lowest possible overpotential. However, the dependence of kinetics and overpotential is unclear, which hinders informed improvement. Here, we find that when the redox potentials of mediators are tuned via, for example, Li+ concentration in the electrolyte, they exhibit distinct threshold potentials, where the kinetics accelerate several-fold within a range as small as 10 mV. This phenomenon is independent of types of mediator and electrolyte. The acceleration originates from the overpotentials required to activate fast Li+/e− extraction and the following chemical step at specific abundant surface facets. Efficient redox catalysis at insulating solids therefore requires careful consideration of the surface conditions of the storage materials and electrolyte-dependent redox potentials, which may be tuned by salt concentrations or solvents. acknowledgement: This work was financially supported by the National Natural Science Foundation of China (grant nos. 51773092, 21975124, 11874254, 51802187 and U2030206). It was further supported by Fujian science & technology innovation laboratory for energy devices of China (21C-LAB), Key Research Project of Zhejiang Laboratory (grant no. 2021PE0AC02) and the Cultivation Program for the Excellent Doctoral Dissertation of Nanjing Tech University. S.A.F. is indebted to IST Austria for support. article_processing_charge: No article_type: original author: - first_name: Deqing full_name: Cao, Deqing last_name: Cao - first_name: Xiaoxiao full_name: Shen, Xiaoxiao last_name: Shen - first_name: Aiping full_name: Wang, Aiping last_name: Wang - first_name: Fengjiao full_name: Yu, Fengjiao last_name: Yu - first_name: Yuping full_name: Wu, Yuping last_name: Wu - first_name: Siqi full_name: Shi, Siqi last_name: Shi - first_name: Stefan Alexander full_name: Freunberger, Stefan Alexander id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425 last_name: Freunberger orcid: 0000-0003-2902-5319 - first_name: Yuhui full_name: Chen, Yuhui last_name: Chen citation: ama: Cao D, Shen X, Wang A, et al. Threshold potentials for fast kinetics during mediated redox catalysis of insulators in Li–O2 and Li–S batteries. Nature Catalysis. 2022;5:193-201. doi:10.1038/s41929-022-00752-z apa: Cao, D., Shen, X., Wang, A., Yu, F., Wu, Y., Shi, S., … Chen, Y. (2022). Threshold potentials for fast kinetics during mediated redox catalysis of insulators in Li–O2 and Li–S batteries. Nature Catalysis. Springer Nature. https://doi.org/10.1038/s41929-022-00752-z chicago: Cao, Deqing, Xiaoxiao Shen, Aiping Wang, Fengjiao Yu, Yuping Wu, Siqi Shi, Stefan Alexander Freunberger, and Yuhui Chen. “Threshold Potentials for Fast Kinetics during Mediated Redox Catalysis of Insulators in Li–O2 and Li–S Batteries.” Nature Catalysis. Springer Nature, 2022. https://doi.org/10.1038/s41929-022-00752-z. ieee: D. Cao et al., “Threshold potentials for fast kinetics during mediated redox catalysis of insulators in Li–O2 and Li–S batteries,” Nature Catalysis, vol. 5. Springer Nature, pp. 193–201, 2022. ista: Cao D, Shen X, Wang A, Yu F, Wu Y, Shi S, Freunberger SA, Chen Y. 2022. Threshold potentials for fast kinetics during mediated redox catalysis of insulators in Li–O2 and Li–S batteries. Nature Catalysis. 5, 193–201. mla: Cao, Deqing, et al. “Threshold Potentials for Fast Kinetics during Mediated Redox Catalysis of Insulators in Li–O2 and Li–S Batteries.” Nature Catalysis, vol. 5, Springer Nature, 2022, pp. 193–201, doi:10.1038/s41929-022-00752-z. short: D. Cao, X. Shen, A. Wang, F. Yu, Y. Wu, S. Shi, S.A. Freunberger, Y. Chen, Nature Catalysis 5 (2022) 193–201. corr_author: '1' date_created: 2022-03-04T07:50:10Z date_published: 2022-03-03T00:00:00Z date_updated: 2024-10-09T21:01:46Z day: '03' department: - _id: StFr doi: 10.1038/s41929-022-00752-z external_id: isi: - '000763879400001' intvolume: ' 5' isi: 1 keyword: - Process Chemistry and Technology - Biochemistry - Bioengineering - Catalysis language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.21203/rs.3.rs-750965/v1 month: '03' oa: 1 oa_version: Preprint page: 193-201 publication: Nature Catalysis publication_identifier: issn: - 2520-1158 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '9978' relation: earlier_version status: public scopus_import: '1' status: public title: Threshold potentials for fast kinetics during mediated redox catalysis of insulators in Li–O2 and Li–S batteries type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 5 year: '2022' ... --- _id: '9364' abstract: - lang: eng text: 'Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H

0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1)) log log p, as p→∞. Finally, we prove a result on the growth of the moments of {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary); 14F20, 60F10 (Secondary).' acknowledgement: I am most thankful to my advisor, Emmanuel Kowalski, for suggesting this problem and for his guidance during these years. I also would like to thank Youness Lamzouri for informing me about his work on sum of incomplete Birch sums and Tal Horesh for her suggestions on a previous version of the paper. Finally, I am very grateful to the anonymous referee for their careful reading of the manuscript and their valuable comments. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Dante full_name: Bonolis, Dante id: 6A459894-5FDD-11E9-AF35-BB24E6697425 last_name: Bonolis citation: ama: Bonolis D. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172(3):563-590. doi:10.1017/S030500412100030X apa: Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S030500412100030X chicago: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2022. https://doi.org/10.1017/S030500412100030X. ieee: D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022. ista: Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590. mla: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:10.1017/S030500412100030X. short: D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590. date_created: 2021-05-02T22:01:29Z date_published: 2022-05-01T00:00:00Z date_updated: 2023-08-02T06:47:48Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1017/S030500412100030X external_id: arxiv: - '1811.10563' isi: - '000784421500001' file: - access_level: open_access checksum: 614d2e9b83a78100408e4ee7752a80a8 content_type: application/pdf creator: cchlebak date_created: 2021-12-01T14:01:54Z date_updated: 2021-12-01T14:01:54Z file_id: '10395' file_name: 2021_MathProcCamPhilSoc_Bonolis.pdf file_size: 334064 relation: main_file success: 1 file_date_updated: 2021-12-01T14:01:54Z has_accepted_license: '1' intvolume: ' 172' isi: 1 issue: '3' language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 563 - 590 publication: Mathematical Proceedings of the Cambridge Philosophical Society publication_identifier: eissn: - 1469-8064 issn: - 0305-0041 publication_status: published publisher: Cambridge University Press quality_controlled: '1' scopus_import: '1' status: public title: On the size of the maximum of incomplete Kloosterman sums 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: 172 year: '2022' ... --- _id: '9365' abstract: - lang: eng text: In this paper, we propose a new iterative method with alternated inertial step for solving split common null point problem in real Hilbert spaces. We obtain weak convergence of the proposed iterative algorithm. Furthermore, we introduce the notion of bounded linear regularity property for the split common null point problem and obtain the linear convergence property for the new algorithm under some mild assumptions. Finally, we provide some numerical examples to demonstrate the performance and efficiency of the proposed method. acknowledgement: The second author has received funding from the European Research Council (ERC) under the European Union's Seventh Framework Program (FP7-2007-2013) (Grant agreement No. 616160). article_processing_charge: No article_type: original author: - first_name: Ferdinard U. full_name: Ogbuisi, Ferdinard U. last_name: Ogbuisi - first_name: Yekini full_name: Shehu, Yekini id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87 last_name: Shehu orcid: 0000-0001-9224-7139 - first_name: Jen Chih full_name: Yao, Jen Chih last_name: Yao citation: ama: Ogbuisi FU, Shehu Y, Yao JC. Convergence analysis of new inertial method for the split common null point problem. Optimization. 2022;71(13):3767-3795. doi:10.1080/02331934.2021.1914035 apa: Ogbuisi, F. U., Shehu, Y., & Yao, J. C. (2022). Convergence analysis of new inertial method for the split common null point problem. Optimization. Taylor and Francis. https://doi.org/10.1080/02331934.2021.1914035 chicago: Ogbuisi, Ferdinard U., Yekini Shehu, and Jen Chih Yao. “Convergence Analysis of New Inertial Method for the Split Common Null Point Problem.” Optimization. Taylor and Francis, 2022. https://doi.org/10.1080/02331934.2021.1914035. ieee: F. U. Ogbuisi, Y. Shehu, and J. C. Yao, “Convergence analysis of new inertial method for the split common null point problem,” Optimization, vol. 71, no. 13. Taylor and Francis, pp. 3767–3795, 2022. ista: Ogbuisi FU, Shehu Y, Yao JC. 2022. Convergence analysis of new inertial method for the split common null point problem. Optimization. 71(13), 3767–3795. mla: Ogbuisi, Ferdinard U., et al. “Convergence Analysis of New Inertial Method for the Split Common Null Point Problem.” Optimization, vol. 71, no. 13, Taylor and Francis, 2022, pp. 3767–95, doi:10.1080/02331934.2021.1914035. short: F.U. Ogbuisi, Y. Shehu, J.C. Yao, Optimization 71 (2022) 3767–3795. date_created: 2021-05-02T22:01:29Z date_published: 2022-11-01T00:00:00Z date_updated: 2024-11-04T13:52:36Z day: '01' department: - _id: VlKo doi: 10.1080/02331934.2021.1914035 ec_funded: 1 external_id: isi: - '000640109300001' intvolume: ' 71' isi: 1 issue: '13' language: - iso: eng month: '11' oa_version: None page: 3767-3795 project: - _id: 25FBA906-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '616160' name: 'Discrete Optimization in Computer Vision: Theory and Practice' publication: Optimization publication_identifier: eissn: - 1029-4945 issn: - 0233-1934 publication_status: published publisher: Taylor and Francis quality_controlled: '1' scopus_import: '1' status: public title: Convergence analysis of new inertial method for the split common null point problem type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 71 year: '2022' ... --- _id: '9469' abstract: - lang: eng text: In this paper, we consider reflected three-operator splitting methods for monotone inclusion problems in real Hilbert spaces. To do this, we first obtain weak convergence analysis and nonasymptotic O(1/n) convergence rate of the reflected Krasnosel'skiĭ-Mann iteration for finding a fixed point of nonexpansive mapping in real Hilbert spaces under some seemingly easy to implement conditions on the iterative parameters. We then apply our results to three-operator splitting for the monotone inclusion problem and consequently obtain the corresponding convergence analysis. Furthermore, we derive reflected primal-dual algorithms for highly structured monotone inclusion problems. Some numerical implementations are drawn from splitting methods to support the theoretical analysis. acknowledgement: The authors are grateful to the anonymous referees and the handling Editor for their insightful comments which have improved the earlier version of the manuscript greatly. The second author is grateful to the University of Hafr Al Batin. The last author has received funding from the European Research Council (ERC) under the European Union's Seventh Framework Program (FP7-2007-2013) (Grant agreement No. 616160). article_processing_charge: No article_type: original author: - first_name: Olaniyi S. full_name: Iyiola, Olaniyi S. last_name: Iyiola - first_name: Cyril D. full_name: Enyi, Cyril D. last_name: Enyi - first_name: Yekini full_name: Shehu, Yekini id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87 last_name: Shehu orcid: 0000-0001-9224-7139 citation: ama: Iyiola OS, Enyi CD, Shehu Y. Reflected three-operator splitting method for monotone inclusion problem. Optimization Methods and Software. 2022;37(4):1527-1565. doi:10.1080/10556788.2021.1924715 apa: Iyiola, O. S., Enyi, C. D., & Shehu, Y. (2022). Reflected three-operator splitting method for monotone inclusion problem. Optimization Methods and Software. Taylor and Francis. https://doi.org/10.1080/10556788.2021.1924715 chicago: Iyiola, Olaniyi S., Cyril D. Enyi, and Yekini Shehu. “Reflected Three-Operator Splitting Method for Monotone Inclusion Problem.” Optimization Methods and Software. Taylor and Francis, 2022. https://doi.org/10.1080/10556788.2021.1924715. ieee: O. S. Iyiola, C. D. Enyi, and Y. Shehu, “Reflected three-operator splitting method for monotone inclusion problem,” Optimization Methods and Software, vol. 37, no. 4. Taylor and Francis, pp. 1527–1565, 2022. ista: Iyiola OS, Enyi CD, Shehu Y. 2022. Reflected three-operator splitting method for monotone inclusion problem. Optimization Methods and Software. 37(4), 1527–1565. mla: Iyiola, Olaniyi S., et al. “Reflected Three-Operator Splitting Method for Monotone Inclusion Problem.” Optimization Methods and Software, vol. 37, no. 4, Taylor and Francis, 2022, pp. 1527–65, doi:10.1080/10556788.2021.1924715. short: O.S. Iyiola, C.D. Enyi, Y. Shehu, Optimization Methods and Software 37 (2022) 1527–1565. corr_author: '1' date_created: 2021-06-06T22:01:30Z date_published: 2022-07-01T00:00:00Z date_updated: 2024-11-04T13:52:36Z day: '01' department: - _id: VlKo doi: 10.1080/10556788.2021.1924715 ec_funded: 1 external_id: isi: - '000650507600001' intvolume: ' 37' isi: 1 issue: '4' language: - iso: eng month: '07' oa_version: None page: 1527-1565 project: - _id: 25FBA906-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '616160' name: 'Discrete Optimization in Computer Vision: Theory and Practice' publication: Optimization Methods and Software publication_identifier: eissn: - 1029-4937 issn: - 1055-6788 publication_status: published publisher: Taylor and Francis quality_controlled: '1' scopus_import: '1' status: public title: Reflected three-operator splitting method for monotone inclusion problem type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 37 year: '2022' ... --- _id: '9649' abstract: - lang: eng text: "Isomanifolds are the generalization of isosurfaces to arbitrary dimension and codimension, i.e. manifolds defined as the zero set of some multivariate vector-valued smooth function f : Rd → Rd−n. A natural (and efficient) way to approximate an isomanifold is to consider its Piecewise-Linear (PL) approximation based on a triangulation T of the ambient space Rd. In this paper, we give conditions under which the PL-approximation of an isomanifold is topologically equivalent to the isomanifold. The conditions are easy to satisfy in the sense that they can always be met by taking a sufficiently\r\nfine triangulation T . This contrasts with previous results on the triangulation of manifolds where, in arbitrary dimensions, delicate perturbations are needed to guarantee topological correctness, which leads to strong limitations in practice. We further give a bound on the Fréchet distance between the original isomanifold and its PL-approximation. Finally we show analogous results for the PL-approximation of an isomanifold with boundary." acknowledgement: "First and foremost, we acknowledge Siargey Kachanovich for discussions. We thank Herbert Edelsbrunner and all members of his group, all former and current members of the Datashape team (formerly known as Geometrica), and André Lieutier for encouragement. We further thank the reviewers of Foundations of Computational Mathematics and the reviewers and program committee of the Symposium on Computational Geometry for their feedback, which improved the exposition.\r\nThis work was funded by the European Research Council under the European Union’s ERC Grant Agreement number 339025 GUDHI (Algorithmic Foundations of Geometric Understanding in Higher Dimensions). This work was also supported by the French government, through the 3IA Côte d’Azur Investments in the Future project managed by the National Research Agency (ANR) with the reference number ANR-19-P3IA-0002. Mathijs Wintraecken also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 754411." article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Jean-Daniel full_name: Boissonnat, Jean-Daniel last_name: Boissonnat - first_name: Mathijs full_name: Wintraecken, Mathijs id: 307CFBC8-F248-11E8-B48F-1D18A9856A87 last_name: Wintraecken orcid: 0000-0002-7472-2220 citation: ama: Boissonnat J-D, Wintraecken M. The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . 2022;22:967-1012. doi:10.1007/s10208-021-09520-0 apa: Boissonnat, J.-D., & Wintraecken, M. (2022). The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . Springer Nature. https://doi.org/10.1007/s10208-021-09520-0 chicago: Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness of PL Approximations of Isomanifolds.” Foundations of Computational Mathematics . Springer Nature, 2022. https://doi.org/10.1007/s10208-021-09520-0. ieee: J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL approximations of isomanifolds,” Foundations of Computational Mathematics , vol. 22. Springer Nature, pp. 967–1012, 2022. ista: Boissonnat J-D, Wintraecken M. 2022. The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . 22, 967–1012. mla: Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness of PL Approximations of Isomanifolds.” Foundations of Computational Mathematics , vol. 22, Springer Nature, 2022, pp. 967–1012, doi:10.1007/s10208-021-09520-0. short: J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012. corr_author: '1' date_created: 2021-07-14T06:44:53Z date_published: 2022-01-01T00:00:00Z date_updated: 2025-04-22T13:45:18Z day: '01' ddc: - '516' department: - _id: HeEd doi: 10.1007/s10208-021-09520-0 ec_funded: 1 external_id: isi: - '000673039600001' file: - access_level: open_access checksum: f1d372ec3c08ec22e84f8e93e1126b8c content_type: application/pdf creator: mwintrae date_created: 2021-07-14T06:44:36Z date_updated: 2021-07-14T06:44:36Z file_id: '9650' file_name: Boissonnat-Wintraecken2021_Article_TheTopologicalCorrectnessOfPLA.pdf file_size: 1455699 relation: main_file file_date_updated: 2021-07-14T06:44:36Z has_accepted_license: '1' intvolume: ' 22' isi: 1 language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 967-1012 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 'Foundations of Computational Mathematics ' publication_identifier: eissn: - 1615-3383 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '7952' relation: earlier_version status: public scopus_import: '1' status: public title: The topological correctness of PL approximations of isomanifolds 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: 22 year: '2022' ... --- _id: '9695' abstract: - lang: eng text: Real-world data typically contain a large number of features that are often heterogeneous in nature, relevance, and also units of measure. When assessing the similarity between data points, one can build various distance measures using subsets of these features. Using the fewest features but still retaining sufficient information about the system is crucial in many statistical learning approaches, particularly when data are sparse. We introduce a statistical test that can assess the relative information retained when using two different distance measures, and determine if they are equivalent, independent, or if one is more informative than the other. This in turn allows finding the most informative distance measure out of a pool of candidates. The approach is applied to find the most relevant policy variables for controlling the Covid-19 epidemic and to find compact yet informative representations of atomic structures, but its potential applications are wide ranging in many branches of science. acknowledgement: "A.G., C.Z., and A.L. gratefully acknowledge support from the European Union’s Horizon 2020 research and innovation program (grant number 824143, MaX ’Materials design at the eXascale’ Centre of Excellence). The authors would like to thank M. Carli, D. Doimo, and I. Macocco (SISSA) for the discussions, M. Caro (Aalto University) for the precious help in using the TurboGap code, and D. Frenkel (University of Cambridge) and N. Bernstein (US Naval Research Laboratory) for useful feedback on the manuscript.\r\nThis work is supported in part by funds from the European Union’s Horizon 2020 research and innovation program (grant number 824143, MaX ’Materials design at the eXascale’ Centre of Excellence)." article_number: pgac039 article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Aldo full_name: Glielmo, Aldo last_name: Glielmo - first_name: Claudio full_name: Zeni, Claudio last_name: Zeni - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 - first_name: Gabor full_name: Csanyi, Gabor last_name: Csanyi - first_name: Alessandro full_name: Laio, Alessandro last_name: Laio citation: ama: Glielmo A, Zeni C, Cheng B, Csanyi G, Laio A. Ranking the information content of distance measures. PNAS Nexus. 2022;1(2). doi:10.1093/pnasnexus/pgac039 apa: Glielmo, A., Zeni, C., Cheng, B., Csanyi, G., & Laio, A. (2022). Ranking the information content of distance measures. PNAS Nexus. Oxford University Press. https://doi.org/10.1093/pnasnexus/pgac039 chicago: Glielmo, Aldo, Claudio Zeni, Bingqing Cheng, Gabor Csanyi, and Alessandro Laio. “Ranking the Information Content of Distance Measures.” PNAS Nexus. Oxford University Press, 2022. https://doi.org/10.1093/pnasnexus/pgac039. ieee: A. Glielmo, C. Zeni, B. Cheng, G. Csanyi, and A. Laio, “Ranking the information content of distance measures,” PNAS Nexus, vol. 1, no. 2. Oxford University Press, 2022. ista: Glielmo A, Zeni C, Cheng B, Csanyi G, Laio A. 2022. Ranking the information content of distance measures. PNAS Nexus. 1(2), pgac039. mla: Glielmo, Aldo, et al. “Ranking the Information Content of Distance Measures.” PNAS Nexus, vol. 1, no. 2, pgac039, Oxford University Press, 2022, doi:10.1093/pnasnexus/pgac039. short: A. Glielmo, C. Zeni, B. Cheng, G. Csanyi, A. Laio, PNAS Nexus 1 (2022). date_created: 2021-07-20T06:31:53Z date_published: 2022-05-01T00:00:00Z date_updated: 2025-06-12T06:23:20Z day: '01' ddc: - '000' department: - _id: BiCh doi: 10.1093/pnasnexus/pgac039 external_id: arxiv: - '2104.15079' pmid: - '36713323' file: - access_level: open_access checksum: f6552854d760eb574ce97abce2c8ef89 content_type: application/pdf creator: dernst date_created: 2024-05-29T06:21:33Z date_updated: 2024-05-29T06:21:33Z file_id: '17080' file_name: 2022_PNASNexus_Glielmo.pdf file_size: 2005167 relation: main_file success: 1 file_date_updated: 2024-05-29T06:21:33Z has_accepted_license: '1' intvolume: ' 1' issue: '2' language: - iso: eng month: '05' oa: 1 oa_version: Published Version pmid: 1 publication: PNAS Nexus publication_identifier: eissn: - 2752-6542 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: Ranking the information content of distance measures tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 1 year: '2022' ... --- _id: '9794' abstract: - lang: eng text: 'Lymph nodes (LNs) comprise two main structural elements: fibroblastic reticular cells that form dedicated niches for immune cell interaction and capsular fibroblasts that build a shell around the organ. Immunological challenge causes LNs to increase more than tenfold in size within a few days. Here, we characterized the biomechanics of LN swelling on the cellular and organ scale. We identified lymphocyte trapping by influx and proliferation as drivers of an outward pressure force, causing fibroblastic reticular cells of the T-zone (TRCs) and their associated conduits to stretch. After an initial phase of relaxation, TRCs sensed the resulting strain through cell matrix adhesions, which coordinated local growth and remodeling of the stromal network. While the expanded TRC network readopted its typical configuration, a massive fibrotic reaction of the organ capsule set in and countered further organ expansion. Thus, different fibroblast populations mechanically control LN swelling in a multitier fashion.' acknowledged_ssus: - _id: Bio - _id: EM-Fac - _id: PreCl - _id: LifeSc acknowledgement: This research was supported by the Scientific Service Units of IST Austria through resources provided by the Imaging and Optics, Electron Microscopy, Preclinical and Life Science Facilities. We thank C. Moussion for providing anti-PNAd antibody and D. Critchley for Talin1-floxed mice, and E. Papusheva for providing a custom 3D channel alignment script. This work was supported by a European Research Council grant ERC-CoG-72437 to M.S. M.H. was supported by Czech Sciencundation GACR 20-24603Y and Charles University PRIMUS/20/MED/013. article_processing_charge: No article_type: original author: - first_name: Frank P full_name: Assen, Frank P id: 3A8E7F24-F248-11E8-B48F-1D18A9856A87 last_name: Assen orcid: 0000-0003-3470-6119 - first_name: Jun full_name: Abe, Jun last_name: Abe - first_name: Miroslav full_name: Hons, Miroslav id: 4167FE56-F248-11E8-B48F-1D18A9856A87 last_name: Hons orcid: 0000-0002-6625-3348 - first_name: Robert full_name: Hauschild, Robert id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87 last_name: Hauschild orcid: 0000-0001-9843-3522 - first_name: Shayan full_name: Shamipour, Shayan id: 40B34FE2-F248-11E8-B48F-1D18A9856A87 last_name: Shamipour - first_name: Walter full_name: Kaufmann, Walter id: 3F99E422-F248-11E8-B48F-1D18A9856A87 last_name: Kaufmann orcid: 0000-0001-9735-5315 - first_name: Tommaso full_name: Costanzo, Tommaso id: D93824F4-D9BA-11E9-BB12-F207E6697425 last_name: Costanzo orcid: 0000-0001-9732-3815 - first_name: Gabriel full_name: Krens, Gabriel id: 2B819732-F248-11E8-B48F-1D18A9856A87 last_name: Krens orcid: 0000-0003-4761-5996 - first_name: Markus full_name: Brown, Markus id: 3DAB9AFC-F248-11E8-B48F-1D18A9856A87 last_name: Brown - first_name: Burkhard full_name: Ludewig, Burkhard last_name: Ludewig - first_name: Simon full_name: Hippenmeyer, Simon id: 37B36620-F248-11E8-B48F-1D18A9856A87 last_name: Hippenmeyer orcid: 0000-0003-2279-1061 - first_name: Carl-Philipp J full_name: Heisenberg, Carl-Philipp J id: 39427864-F248-11E8-B48F-1D18A9856A87 last_name: Heisenberg orcid: 0000-0002-0912-4566 - first_name: Wolfgang full_name: Weninger, Wolfgang last_name: Weninger - first_name: Edouard B full_name: Hannezo, Edouard B id: 3A9DB764-F248-11E8-B48F-1D18A9856A87 last_name: Hannezo orcid: 0000-0001-6005-1561 - first_name: Sanjiv A. full_name: Luther, Sanjiv A. last_name: Luther - first_name: Jens V. full_name: Stein, Jens V. last_name: Stein - first_name: Michael K full_name: Sixt, Michael K id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87 last_name: Sixt orcid: 0000-0002-4561-241X citation: ama: Assen FP, Abe J, Hons M, et al. Multitier mechanics control stromal adaptations in swelling lymph nodes. Nature Immunology. 2022;23:1246-1255. doi:10.1038/s41590-022-01257-4 apa: Assen, F. P., Abe, J., Hons, M., Hauschild, R., Shamipour, S., Kaufmann, W., … Sixt, M. K. (2022). Multitier mechanics control stromal adaptations in swelling lymph nodes. Nature Immunology. Springer Nature. https://doi.org/10.1038/s41590-022-01257-4 chicago: Assen, Frank P, Jun Abe, Miroslav Hons, Robert Hauschild, Shayan Shamipour, Walter Kaufmann, Tommaso Costanzo, et al. “Multitier Mechanics Control Stromal Adaptations in Swelling Lymph Nodes.” Nature Immunology. Springer Nature, 2022. https://doi.org/10.1038/s41590-022-01257-4. ieee: F. P. Assen et al., “Multitier mechanics control stromal adaptations in swelling lymph nodes,” Nature Immunology, vol. 23. Springer Nature, pp. 1246–1255, 2022. ista: Assen FP, Abe J, Hons M, Hauschild R, Shamipour S, Kaufmann W, Costanzo T, Krens G, Brown M, Ludewig B, Hippenmeyer S, Heisenberg C-PJ, Weninger W, Hannezo EB, Luther SA, Stein JV, Sixt MK. 2022. Multitier mechanics control stromal adaptations in swelling lymph nodes. Nature Immunology. 23, 1246–1255. mla: Assen, Frank P., et al. “Multitier Mechanics Control Stromal Adaptations in Swelling Lymph Nodes.” Nature Immunology, vol. 23, Springer Nature, 2022, pp. 1246–55, doi:10.1038/s41590-022-01257-4. short: F.P. Assen, J. Abe, M. Hons, R. Hauschild, S. Shamipour, W. Kaufmann, T. Costanzo, G. Krens, M. Brown, B. Ludewig, S. Hippenmeyer, C.-P.J. Heisenberg, W. Weninger, E.B. Hannezo, S.A. Luther, J.V. Stein, M.K. Sixt, Nature Immunology 23 (2022) 1246–1255. corr_author: '1' date_created: 2021-08-06T09:09:11Z date_published: 2022-07-11T00:00:00Z date_updated: 2025-06-11T13:52:43Z day: '11' ddc: - '570' department: - _id: SiHi - _id: CaHe - _id: EdHa - _id: EM-Fac - _id: Bio - _id: MiSi doi: 10.1038/s41590-022-01257-4 ec_funded: 1 external_id: isi: - '000822975900002' pmid: - '35817845' file: - access_level: open_access checksum: 628e7b49809f22c75b428842efe70c68 content_type: application/pdf creator: dernst date_created: 2022-07-25T07:11:32Z date_updated: 2022-07-25T07:11:32Z file_id: '11642' file_name: 2022_NatureImmunology_Assen.pdf file_size: 11475325 relation: main_file success: 1 file_date_updated: 2022-07-25T07:11:32Z has_accepted_license: '1' intvolume: ' 23' isi: 1 language: - iso: eng month: '07' oa: 1 oa_version: Published Version page: 1246-1255 pmid: 1 project: - _id: 25FE9508-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '724373' name: Cellular Navigation Along Spatial Gradients publication: Nature Immunology publication_identifier: eissn: - 1529-2916 issn: - 1529-2908 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Multitier mechanics control stromal adaptations in swelling lymph nodes 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: 23 year: '2022' ...