--- _id: '61' abstract: - lang: eng text: 'We prove that there is no strongly regular graph (SRG) with parameters (460; 153; 32; 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs. ' article_processing_charge: No author: - first_name: Andriy full_name: Bondarenko, Andriy last_name: Bondarenko - first_name: Anton full_name: Mellit, Anton id: 388D3134-F248-11E8-B48F-1D18A9856A87 last_name: Mellit - first_name: Andriy full_name: Prymak, Andriy last_name: Prymak - first_name: Danylo full_name: Radchenko, Danylo last_name: Radchenko - first_name: Maryna full_name: Viazovska, Maryna last_name: Viazovska citation: ama: 'Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. There is no strongly regular graph with parameters (460; 153; 32; 60). In: Contemporary Computational Mathematics. Springer; 2018:131-134. doi:10.1007/978-3-319-72456-0_7' apa: Bondarenko, A., Mellit, A., Prymak, A., Radchenko, D., & Viazovska, M. (2018). There is no strongly regular graph with parameters (460; 153; 32; 60). In Contemporary Computational Mathematics (pp. 131–134). Springer. https://doi.org/10.1007/978-3-319-72456-0_7 chicago: Bondarenko, Andriy, Anton Mellit, Andriy Prymak, Danylo Radchenko, and Maryna Viazovska. “There Is No Strongly Regular Graph with Parameters (460; 153; 32; 60).” In Contemporary Computational Mathematics, 131–34. Springer, 2018. https://doi.org/10.1007/978-3-319-72456-0_7. ieee: A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, and M. Viazovska, “There is no strongly regular graph with parameters (460; 153; 32; 60),” in Contemporary Computational Mathematics, Springer, 2018, pp. 131–134. ista: 'Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. 2018.There is no strongly regular graph with parameters (460; 153; 32; 60). In: Contemporary Computational Mathematics. , 131–134.' mla: Bondarenko, Andriy, et al. “There Is No Strongly Regular Graph with Parameters (460; 153; 32; 60).” Contemporary Computational Mathematics, Springer, 2018, pp. 131–34, doi:10.1007/978-3-319-72456-0_7. short: A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, M. Viazovska, in:, Contemporary Computational Mathematics, Springer, 2018, pp. 131–134. date_created: 2018-12-11T11:44:25Z date_published: 2018-05-23T00:00:00Z date_updated: 2021-01-12T08:06:06Z day: '23' department: - _id: TaHa doi: 10.1007/978-3-319-72456-0_7 extern: '1' external_id: arxiv: - '1509.06286' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1509.06286 month: '05' oa: 1 oa_version: Preprint page: 131 - 134 publication: Contemporary Computational Mathematics publication_status: published publisher: Springer publist_id: '7993' quality_controlled: '1' status: public title: There is no strongly regular graph with parameters (460; 153; 32; 60) type: book_chapter user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 year: '2018' ... --- _id: '6354' abstract: - lang: eng text: Blood platelets are critical for hemostasis and thrombosis, but also play diverse roles during immune responses. We have recently reported that platelets migrate at sites of infection in vitro and in vivo. Importantly, platelets use their ability to migrate to collect and bundle fibrin (ogen)-bound bacteria accomplishing efficient intravascular bacterial trapping. Here, we describe a method that allows analyzing platelet migration in vitro, focusing on their ability to collect bacteria and trap bacteria under flow. acknowledgement: ' FöFoLe project 947 (F.G.), the Friedrich-Baur-Stiftung project 41/16 (F.G.)' article_number: e3018 author: - first_name: Shuxia full_name: Fan, Shuxia last_name: Fan - first_name: Michael full_name: Lorenz, Michael last_name: Lorenz - first_name: Steffen full_name: Massberg, Steffen last_name: Massberg - first_name: Florian R full_name: Gärtner, Florian R id: 397A88EE-F248-11E8-B48F-1D18A9856A87 last_name: Gärtner orcid: 0000-0001-6120-3723 citation: ama: Fan S, Lorenz M, Massberg S, Gärtner FR. Platelet migration and bacterial trapping assay under flow. Bio-Protocol. 2018;8(18). doi:10.21769/bioprotoc.3018 apa: Fan, S., Lorenz, M., Massberg, S., & Gärtner, F. R. (2018). Platelet migration and bacterial trapping assay under flow. Bio-Protocol. Bio-Protocol. https://doi.org/10.21769/bioprotoc.3018 chicago: Fan, Shuxia, Michael Lorenz, Steffen Massberg, and Florian R Gärtner. “Platelet Migration and Bacterial Trapping Assay under Flow.” Bio-Protocol. Bio-Protocol, 2018. https://doi.org/10.21769/bioprotoc.3018. ieee: S. Fan, M. Lorenz, S. Massberg, and F. R. Gärtner, “Platelet migration and bacterial trapping assay under flow,” Bio-Protocol, vol. 8, no. 18. Bio-Protocol, 2018. ista: Fan S, Lorenz M, Massberg S, Gärtner FR. 2018. Platelet migration and bacterial trapping assay under flow. Bio-Protocol. 8(18), e3018. mla: Fan, Shuxia, et al. “Platelet Migration and Bacterial Trapping Assay under Flow.” Bio-Protocol, vol. 8, no. 18, e3018, Bio-Protocol, 2018, doi:10.21769/bioprotoc.3018. short: S. Fan, M. Lorenz, S. Massberg, F.R. Gärtner, Bio-Protocol 8 (2018). date_created: 2019-04-29T09:40:33Z date_published: 2018-09-20T00:00:00Z date_updated: 2021-01-12T08:07:12Z day: '20' ddc: - '570' department: - _id: MiSi doi: 10.21769/bioprotoc.3018 ec_funded: 1 file: - access_level: open_access checksum: d4588377e789da7f360b553ae02c5119 content_type: application/pdf creator: dernst date_created: 2019-04-30T08:04:33Z date_updated: 2020-07-14T12:47:28Z file_id: '6360' file_name: 2018_BioProtocol_Fan.pdf file_size: 2928337 relation: main_file file_date_updated: 2020-07-14T12:47:28Z has_accepted_license: '1' intvolume: ' 8' issue: '18' keyword: - Platelets - Cell migration - Bacteria - Shear flow - Fibrinogen - E. coli language: - iso: eng month: '09' oa: 1 oa_version: Published Version project: - _id: 260AA4E2-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '747687' name: Mechanical Adaptation of Lamellipodial Actin Networks in Migrating Cells publication: Bio-Protocol publication_identifier: issn: - 2331-8325 publication_status: published publisher: Bio-Protocol quality_controlled: '1' status: public title: Platelet migration and bacterial trapping assay under flow 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 8 year: '2018' ... --- _id: '6525' abstract: - lang: eng text: This chapter finds an agreement of equivariant indices of semi-classical homomorphisms between pairwise mirror branes in the GL2 Higgs moduli space on a Riemann surface. On one side of the agreement, components of the Lagrangian brane of U(1,1) Higgs bundles, whose mirror was proposed by Hitchin to be certain even exterior powers of the hyperholomorphic Dirac bundle on the SL2 Higgs moduli space, are present. The agreement arises from a mysterious functional equation. This gives strong computational evidence for Hitchin’s proposal. author: - first_name: Tamás full_name: Hausel, Tamás id: 4A0666D8-F248-11E8-B48F-1D18A9856A87 last_name: Hausel - first_name: Anton full_name: Mellit, Anton id: 388D3134-F248-11E8-B48F-1D18A9856A87 last_name: Mellit - first_name: Du full_name: Pei, Du last_name: Pei citation: ama: 'Hausel T, Mellit A, Pei D. Mirror symmetry with branes by equivariant verlinde formulas. In: Geometry and Physics: Volume I. Oxford University Press; 2018:189-218. doi:10.1093/oso/9780198802013.003.0009' apa: 'Hausel, T., Mellit, A., & Pei, D. (2018). Mirror symmetry with branes by equivariant verlinde formulas. In Geometry and Physics: Volume I (pp. 189–218). Oxford University Press. https://doi.org/10.1093/oso/9780198802013.003.0009' chicago: 'Hausel, Tamás, Anton Mellit, and Du Pei. “Mirror Symmetry with Branes by Equivariant Verlinde Formulas.” In Geometry and Physics: Volume I, 189–218. Oxford University Press, 2018. https://doi.org/10.1093/oso/9780198802013.003.0009.' ieee: 'T. Hausel, A. Mellit, and D. Pei, “Mirror symmetry with branes by equivariant verlinde formulas,” in Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218.' ista: 'Hausel T, Mellit A, Pei D. 2018.Mirror symmetry with branes by equivariant verlinde formulas. In: Geometry and Physics: Volume I. , 189–218.' mla: 'Hausel, Tamás, et al. “Mirror Symmetry with Branes by Equivariant Verlinde Formulas.” Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218, doi:10.1093/oso/9780198802013.003.0009.' short: 'T. Hausel, A. Mellit, D. Pei, in:, Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218.' date_created: 2019-06-06T12:42:01Z date_published: 2018-01-01T00:00:00Z date_updated: 2021-01-12T08:07:52Z day: '01' department: - _id: TaHa doi: 10.1093/oso/9780198802013.003.0009 language: - iso: eng month: '01' oa_version: None page: 189-218 publication: 'Geometry and Physics: Volume I' publication_identifier: isbn: - '9780198802013' - '9780191840500' publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: 1 status: public title: Mirror symmetry with branes by equivariant verlinde formulas type: book_chapter user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 year: '2018' ... --- _id: '690' abstract: - lang: eng text: We consider spectral properties and the edge universality of sparse random matrices, the class of random matrices that includes the adjacency matrices of the Erdős–Rényi graph model G(N, p). We prove a local law for the eigenvalue density up to the spectral edges. Under a suitable condition on the sparsity, we also prove that the rescaled extremal eigenvalues exhibit GOE Tracy–Widom fluctuations if a deterministic shift of the spectral edge due to the sparsity is included. For the adjacency matrix of the Erdős–Rényi graph this establishes the Tracy–Widom fluctuations of the second largest eigenvalue when p is much larger than N−2/3 with a deterministic shift of order (Np)−1. article_number: 543-616 author: - first_name: Jii full_name: Lee, Jii last_name: Lee - first_name: Kevin full_name: Schnelli, Kevin id: 434AD0AE-F248-11E8-B48F-1D18A9856A87 last_name: Schnelli orcid: 0000-0003-0954-3231 citation: ama: Lee J, Schnelli K. Local law and Tracy–Widom limit for sparse random matrices. Probability Theory and Related Fields. 2018;171(1-2). doi:10.1007/s00440-017-0787-8 apa: Lee, J., & Schnelli, K. (2018). Local law and Tracy–Widom limit for sparse random matrices. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-017-0787-8 chicago: Lee, Jii, and Kevin Schnelli. “Local Law and Tracy–Widom Limit for Sparse Random Matrices.” Probability Theory and Related Fields. Springer, 2018. https://doi.org/10.1007/s00440-017-0787-8. ieee: J. Lee and K. Schnelli, “Local law and Tracy–Widom limit for sparse random matrices,” Probability Theory and Related Fields, vol. 171, no. 1–2. Springer, 2018. ista: Lee J, Schnelli K. 2018. Local law and Tracy–Widom limit for sparse random matrices. Probability Theory and Related Fields. 171(1–2), 543–616. mla: Lee, Jii, and Kevin Schnelli. “Local Law and Tracy–Widom Limit for Sparse Random Matrices.” Probability Theory and Related Fields, vol. 171, no. 1–2, 543–616, Springer, 2018, doi:10.1007/s00440-017-0787-8. short: J. Lee, K. Schnelli, Probability Theory and Related Fields 171 (2018). date_created: 2018-12-11T11:47:56Z date_published: 2018-06-14T00:00:00Z date_updated: 2021-01-12T08:09:33Z day: '14' department: - _id: LaEr doi: 10.1007/s00440-017-0787-8 ec_funded: 1 external_id: arxiv: - '1605.08767' intvolume: ' 171' issue: 1-2 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1605.08767 month: '06' oa: 1 oa_version: Preprint project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems publication: Probability Theory and Related Fields publication_status: published publisher: Springer publist_id: '7017' quality_controlled: '1' scopus_import: 1 status: public title: Local law and Tracy–Widom limit for sparse random matrices type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 171 year: '2018' ... --- _id: '703' abstract: - lang: eng text: We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some labels of the considered graphical model either as (i) optimal, meaning that they belong to all optimal solutions of the inference problem; (ii) non-optimal if they provably do not belong to any solution. With access to an exact solver of a linear programming relaxation to the MAP-inference problem, our algorithm marks the maximal possible (in a specified sense) number of labels. We also present a version of the algorithm, which has access to a suboptimal dual solver only and still can ensure the (non-)optimality for the marked labels, although the overall number of the marked labels may decrease. We propose an efficient implementation, which runs in time comparable to a single run of a suboptimal dual solver. Our method is well-scalable and shows state-of-the-art results on computational benchmarks from machine learning and computer vision. author: - first_name: Alexander full_name: Shekhovtsov, Alexander last_name: Shekhovtsov - first_name: Paul full_name: Swoboda, Paul id: 446560C6-F248-11E8-B48F-1D18A9856A87 last_name: Swoboda - first_name: Bogdan full_name: Savchynskyy, Bogdan last_name: Savchynskyy citation: ama: Shekhovtsov A, Swoboda P, Savchynskyy B. Maximum persistency via iterative relaxed inference with graphical models. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2018;40(7):1668-1682. doi:10.1109/TPAMI.2017.2730884 apa: Shekhovtsov, A., Swoboda, P., & Savchynskyy, B. (2018). Maximum persistency via iterative relaxed inference with graphical models. IEEE Transactions on Pattern Analysis and Machine Intelligence. IEEE. https://doi.org/10.1109/TPAMI.2017.2730884 chicago: Shekhovtsov, Alexander, Paul Swoboda, and Bogdan Savchynskyy. “Maximum Persistency via Iterative Relaxed Inference with Graphical Models.” IEEE Transactions on Pattern Analysis and Machine Intelligence. IEEE, 2018. https://doi.org/10.1109/TPAMI.2017.2730884. ieee: A. Shekhovtsov, P. Swoboda, and B. Savchynskyy, “Maximum persistency via iterative relaxed inference with graphical models,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 40, no. 7. IEEE, pp. 1668–1682, 2018. ista: Shekhovtsov A, Swoboda P, Savchynskyy B. 2018. Maximum persistency via iterative relaxed inference with graphical models. IEEE Transactions on Pattern Analysis and Machine Intelligence. 40(7), 1668–1682. mla: Shekhovtsov, Alexander, et al. “Maximum Persistency via Iterative Relaxed Inference with Graphical Models.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 40, no. 7, IEEE, 2018, pp. 1668–82, doi:10.1109/TPAMI.2017.2730884. short: A. Shekhovtsov, P. Swoboda, B. Savchynskyy, IEEE Transactions on Pattern Analysis and Machine Intelligence 40 (2018) 1668–1682. date_created: 2018-12-11T11:48:01Z date_published: 2018-07-01T00:00:00Z date_updated: 2021-01-12T08:11:32Z day: '01' department: - _id: VlKo doi: 10.1109/TPAMI.2017.2730884 external_id: arxiv: - '1508.07902' intvolume: ' 40' issue: '7' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1508.07902 month: '07' oa: 1 oa_version: Preprint page: 1668-1682 publication: IEEE Transactions on Pattern Analysis and Machine Intelligence publication_identifier: issn: - '01628828' publication_status: published publisher: IEEE publist_id: '6992' quality_controlled: '1' scopus_import: 1 status: public title: Maximum persistency via iterative relaxed inference with graphical models type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 40 year: '2018' ...