--- references: - id: AguehBarycenters2011 accessed: - year: 2021 month: 3 day: 15 author: - family: Agueh given: Martial - family: Carlier given: Guillaume citation-key: AguehBarycenters2011 container-title: SIAM Journal on Mathematical Analysis container-title-short: SIAM J. Math. Anal. DOI: 10.1137/100805741 ISSN: 0036-1410, 1095-7154 issue: '2' issued: - year: 2011 month: 1 language: en page: 904-924 title: Barycenters in the Wasserstein Space type: article-journal volume: '43' - id: AlayaScreening2019 accessed: - year: 2021 month: 3 day: 15 author: - family: Alaya given: Mokhtar Z. - family: Berar given: Maxime - family: Gasso given: Gilles - family: Rakotomamonjy given: Alain citation-key: AlayaScreening2019 container-title: Advances in Neural Information Processing Systems issued: - year: 2019 language: en title: Screening Sinkhorn Algorithm for Regularized Optimal Transport type: article-journal URL: >- https://papers.nips.cc/paper/2019/hash/95688ba636a4720a85b3634acfec8cdd-Abstract.html volume: '32' - id: AltschulerNearlinear author: - family: Altschuler given: Jason - family: Niles-Weed given: Jonathan - family: Rigollet given: Philippe citation-key: AltschulerNearlinear issued: - year: 2017 language: en page: '11' title: >- Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration type: paper-conference - id: BardenetFew2017 accessed: - year: 2022 month: 8 day: 25 author: - family: Bardenet given: Rémi - family: Lavancier given: Frédéric - family: Mary given: Xavier - family: Vasseur given: Aurélien citation-key: BardenetFew2017 container-title: 'ESAIM: Proceedings and Surveys' container-title-short: 'ESAIM: Procs' DOI: 10.1051/proc/201760180 editor: - family: Coeurjolly given: Jean-François - family: Leclercq-Samson given: Adeline ISSN: 2267-3059 issued: - year: 2017 language: en page: 180-202 title: On a few statistical applications of determinantal point processes type: article-journal URL: http://www.esaim-proc.org/10.1051/proc/201760180 volume: '60' - id: BelhadjiKernel2019 accessed: - year: 2021 month: 3 day: 15 author: - family: Belhadji given: Ayoub - family: Bardenet given: R. - family: Chainais given: Pierre citation-key: BelhadjiKernel2019 container-title: >- NeurIPS 2019 - Thirty-third Conference on Neural Information Processing Systems event-place: Vancouver, Canada issued: - year: 2019 month: 6 publisher-place: Vancouver, Canada title: Kernel quadrature with DPPs type: paper-conference URL: http://arxiv.org/abs/1906.07832 - id: BenamouIterative2014 accessed: - year: 2021 month: 3 day: 15 author: - family: Benamou given: Jean-David - family: Carlier given: Guillaume - family: Cuturi given: Marco - family: Nenna given: Luca - family: Peyré given: Gabriel citation-key: BenamouIterative2014 container-title: arXiv:1412.5154 [math] issued: - year: 2014 month: 12 day: 16 language: en title: Iterative Bregman Projections for Regularized Transportation Problems type: article-journal URL: http://arxiv.org/abs/1412.5154 - id: BenHoughDeterminantal2006 accessed: - year: 2018 month: 8 day: 6 author: - family: Ben Hough given: J. - family: Krishnapur given: Manjunath - family: Peres given: Yuval - family: Virág given: Bálint citation-key: BenHoughDeterminantal2006 container-title: Probability Surveys DOI: 10.1214/154957806000000078 ISSN: 1549-5787 issue: '0' issued: - year: 2006 language: en page: 206-229 title: Determinantal Processes and Independence type: article-journal URL: http://arxiv.org/abs/math/0503110 volume: '3' - id: BenHoughZeros2009 author: - family: Ben Hough given: John - family: Krishnapur given: Manjunath - family: Peres given: Yuval - family: Virág given: Bálint call-number: QA274.4 .Z47 2009 citation-key: BenHoughZeros2009 collection-number: v. 51 collection-title: University lecture series event-place: Providence, R.I ISBN: 978-0-8218-4373-4 issued: - year: 2009 language: en number-of-pages: '170' publisher: American Mathematical Soc. publisher-place: Providence, R.I title: Zeros of Gaussian Analytic Functions and Determinantal Point Processes type: book URL: http://math.iisc.ernet.in/~manju/GAF_book.pdf - id: BlondelSmooth2018 accessed: - year: 2021 month: 3 day: 15 author: - family: Blondel given: Mathieu - family: Seguy given: Vivien - family: Rolet given: Antoine citation-key: BlondelSmooth2018 container-title: AISTATS 2018 event-title: AISTATS issued: - year: 2018 month: 2 day: 20 title: Smooth and Sparse Optimal Transport type: paper-conference URL: http://arxiv.org/abs/1710.06276 - id: BonneelDisplacement author: - family: Bonneel given: Nicolas citation-key: BonneelDisplacement language: en page: '11' title: Displacement Interpolation Using Lagrangian Mass Transport type: article-journal - id: BorodinDeterminantal2009 accessed: - year: 2018 month: 7 day: 30 author: - family: Borodin given: Alexei citation-key: BorodinDeterminantal2009 container-title: Oxford Handbook of Random Matrix Theory issued: - year: 2009 month: 11 day: 5 title: Determinantal point processes type: chapter URL: http://arxiv.org/abs/0911.1153 - id: ChizatScaling2017 accessed: - year: 2021 month: 3 day: 15 author: - family: Chizat given: Lenaic - family: Peyré given: Gabriel - family: Schmitzer given: Bernhard - family: Vialard given: François-Xavier citation-key: ChizatScaling2017 container-title: arXiv:1607.05816 [math] issued: - year: 2017 month: 5 day: 22 language: en title: Scaling Algorithms for Unbalanced Transport Problems type: article-journal URL: http://arxiv.org/abs/1607.05816 - id: CourtyOptimal2016 accessed: - year: 2021 month: 3 day: 15 author: - family: Courty given: Nicolas - family: Flamary given: Rémi - family: Tuia given: Devis - family: Rakotomamonjy given: Alain citation-key: CourtyOptimal2016 container-title: arXiv:1507.00504 [cs] issued: - year: 2016 month: 6 day: 22 language: en title: Optimal Transport for Domain Adaptation type: article-journal URL: http://arxiv.org/abs/1507.00504 - id: CuturiFast2014 accessed: - year: 2021 month: 3 day: 15 author: - family: Cuturi given: Marco - family: Doucet given: Arnaud citation-key: CuturiFast2014 container-title: International Conference on Machine Learning event-title: International Conference on Machine Learning ISSN: 1938-7228 issued: - year: 2014 month: 6 day: 18 language: en page: 685-693 publisher: PMLR title: Fast Computation of Wasserstein Barycenters type: paper-conference URL: http://proceedings.mlr.press/v32/cuturi14.html - id: CuturiSinkhorn2013 accessed: - year: 2019 month: 5 day: 29 author: - family: Cuturi given: Marco citation-key: CuturiSinkhorn2013 container-title: Advances in Neural Information Processing Systems 26 event-title: NIPS issued: - year: 2013 month: 6 day: 4 language: en title: >- Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances type: paper-conference URL: https://arxiv.org/abs/1306.0895v1 - id: FlamaryOptimal author: - family: Flamary given: Remi - family: Rakotomamonjy given: Alain - family: Courty given: Nicolas - family: Tuia given: Devis citation-key: FlamaryOptimal language: en page: '10' title: Optimal transport with Laplacian regularization type: article-journal - id: FlamaryWasserstein2018 accessed: - year: 2021 month: 3 day: 15 author: - family: Flamary given: Rémi - family: Cuturi given: Marco - family: Courty given: Nicolas - family: Rakotomamonjy given: Alain citation-key: FlamaryWasserstein2018 container-title: Machine Learning container-title-short: Mach Learn DOI: 10.1007/s10994-018-5717-1 ISSN: 0885-6125, 1573-0565 issue: '12' issued: - year: 2018 month: 12 language: en page: 1923-1945 title: Wasserstein Discriminant Analysis type: article-journal URL: http://arxiv.org/abs/1608.08063 volume: '107' - id: FrognerLearning2015 accessed: - year: 2018 month: 8 day: 29 author: - family: Frogner given: Charlie - family: Zhang given: Chiyuan - family: Mobahi given: Hossein - family: Araya given: Mauricio - family: Poggio given: Tomaso A citation-key: FrognerLearning2015 container-title: Advances in Neural Information Processing Systems 28 editor: - family: Cortes given: C. - family: Lawrence given: N. D. - family: Lee given: D. D. - family: Sugiyama given: M. - family: Garnett given: R. issued: - year: 2015 page: 2053–2061 publisher: Curran Associates, Inc. title: Learning with a Wasserstein Loss type: paper-conference URL: http://papers.nips.cc/paper/5679-learning-with-a-wasserstein-loss.pdf - id: GenevayLearning2017 accessed: - year: 2021 month: 3 day: 15 author: - family: Genevay given: Aude - family: Peyré given: Gabriel - family: Cuturi given: Marco citation-key: GenevayLearning2017 container-title: arXiv:1706.00292 [stat] issued: - year: 2017 month: 10 day: 20 title: Learning Generative Models with Sinkhorn Divergences type: article-journal URL: http://arxiv.org/abs/1706.00292 - id: GenevayStochastic2016 author: - family: Genevay given: Aude - family: Cuturi given: Marco - family: Peyré given: Gabriel - family: Bach given: Francis citation-key: GenevayStochastic2016 container-title: Advances in Neural Information Processing Systems 29 editor: - family: Lee given: D. D. - family: Sugiyama given: M. - family: Luxburg given: U. V. - family: Guyon given: I. - family: Garnett given: R. issued: - year: 2016 page: 3432–3440 publisher: Curran Associates, Inc. title: Stochastic Optimization for Large-scale Optimal Transport type: paper-conference URL: >- http://papers.nips.cc/paper/6566-stochastic-optimization-for-large-scale-optimal-transport.pdf - id: GillenwaterExpectationMaximization2014 accessed: - year: 2018 month: 8 day: 8 author: - family: Gillenwater given: Jennifer A - family: Kulesza given: Alex - family: Fox given: Emily - family: Taskar given: Ben citation-key: GillenwaterExpectationMaximization2014 container-title: Advances in Neural Information Processing Systems 27 editor: - family: Ghahramani given: Z. - family: Welling given: M. - family: Cortes given: C. - family: Lawrence given: N. D. - family: Weinberger given: K. Q. issued: - year: 2014 page: 3149–3157 publisher: Curran Associates, Inc. title: Expectation-Maximization for Learning Determinantal Point Processes type: chapter URL: >- http://papers.nips.cc/paper/5564-expectation-maximization-for-learning-determinantal-point-processes.pdf - id: IyerSubmodular2015 accessed: - year: 2018 month: 8 day: 8 author: - family: Iyer given: Rishabh - family: Bilmes given: Jeffrey citation-key: IyerSubmodular2015 container-title: Artificial Intelligence and Statistics event-title: Artificial Intelligence and Statistics issued: - year: 2015 month: 2 day: 21 language: en page: 388-397 title: Submodular Point Processes with Applications to Machine learning type: paper-conference URL: http://proceedings.mlr.press/v38/iyer15.html - id: KnottOptimal1984 accessed: - year: 2019 month: 2 day: 19 author: - family: Knott given: M. - family: Smith given: C. S. citation-key: KnottOptimal1984 container-title: Journal of Optimization Theory and Applications container-title-short: J Optim Theory Appl DOI: 10.1007/BF00934745 ISSN: 1573-2878 issue: '1' issued: - year: 1984 month: 5 day: 1 language: en page: 39-49 title: On the optimal mapping of distributions type: article-journal volume: '43' - id: KrishnapurZeros2006 accessed: - year: 2019 month: 7 day: 19 author: - family: Krishnapur given: Manjunath citation-key: KrishnapurZeros2006 container-title: arXiv:math/0607504 issued: - year: 2006 month: 7 day: 20 title: Zeros of Random Analytic Functions type: article-journal URL: http://arxiv.org/abs/math/0607504 - id: KuleszaDeterminantal2012 accessed: - year: 2018 month: 7 day: 30 author: - family: Kulesza given: Alex - family: Taskar given: Ben citation-key: KuleszaDeterminantal2012 collection-number: 5,2-3 collection-title: Foundations and Trends® in Machine Learning event-place: Boston, Mass. ISBN: 978-1-60198-628-3 issued: - year: 2012 month: 12 day: 18 language: English number-of-pages: '166' publisher: Now Foundations and Trends publisher-place: Boston, Mass. title: Determinantal Point Processes for Machine Learning type: book URL: http://www.alexkulesza.com/pubs/dpps_fnt12.pdf volume: '5' - id: KuleszaLearning2011 accessed: - year: 2018 month: 8 day: 13 author: - family: Kulesza given: Alex - family: Taskar given: Ben citation-key: KuleszaLearning2011 collection-title: UAI'11 container-title: >- Proceedings of the Twenty-Seventh Conference on Uncertainty in Artificial Intelligence event-place: Arlington, Virginia, United States ISBN: 978-0-9749039-7-2 issued: - year: 2011 page: 419–427 publisher: AUAI Press publisher-place: Arlington, Virginia, United States title: Learning Determinantal Point Processes type: paper-conference URL: http://arxiv.org/abs/1202.3738 - id: LavancierDeterminantal2015 accessed: - year: 2019 month: 10 day: 10 author: - family: Lavancier given: Frédéric - family: Møller given: Jesper - family: Rubak given: Ege citation-key: LavancierDeterminantal2015 container-title: 'Journal of the Royal Statistical Society: Series B (Statistical Methodology)' DOI: 10.1111/rssb.12096 ISSN: 1467-9868 issue: '4' issued: - year: 2015 language: en page: 853-877 title: Determinantal point process models and statistical inference type: article-journal URL: http://arxiv.org/abs/1205.4818 volume: '77' - id: LiEfficient2015 accessed: - year: 2022 month: 8 day: 25 author: - family: Li given: Chengtao - family: Jegelka given: Stefanie - family: Sra given: Suvrit citation-key: LiEfficient2015 DOI: 10.48550/arXiv.1509.01618 issued: - year: 2015 month: 9 day: 4 language: en title: Efficient Sampling for k-Determinantal Point Processes type: article-journal URL: https://arxiv.org/abs/1509.01618v2 - id: LiuDeterminantal2022 accessed: - year: 2022 month: 8 day: 24 author: - family: Liu given: Yuli - family: Walder given: Christian - family: Xie given: Lexing citation-key: LiuDeterminantal2022 collection-title: SIGIR '22 container-title: >- Proceedings of the 45th International ACM SIGIR Conference on Research and Development in Information Retrieval DOI: 10.1145/3477495.3531965 event-place: New York, NY, USA ISBN: 978-1-4503-8732-3 issued: - year: 2022 month: 7 day: 6 page: 1653–1663 publisher: Association for Computing Machinery publisher-place: New York, NY, USA title: Determinantal Point Process Likelihoods for Sequential Recommendation type: paper-conference - id: LyonsDeterminantal2003 accessed: - year: 2018 month: 8 day: 6 author: - family: Lyons given: Russell citation-key: LyonsDeterminantal2003 container-title: Publications Mathématiques de l'Institut des Hautes Études Scientifiques container-title-short: Publ. Math. DOI: 10.1007/s10240-003-0016-0 ISSN: 0073-8301, 1618-1913 issue: '1' issued: - year: 2003 month: 12 day: 1 language: en page: 167-212 title: Determinantal probability measures type: article-journal URL: http://arxiv.org/abs/math/0204325 volume: '98' - id: LyonsProbability2016 author: - family: Lyons given: Russell - family: Peres given: Y. call-number: QA274 .L956 2016 citation-key: LyonsProbability2016 collection-title: Cambridge series in statistical and probabilistic mathematics event-place: New York NY ISBN: 978-1-107-16015-6 issued: - year: 2016 publisher: Cambridge University Press publisher-place: New York NY title: Probability on trees and networks type: book - id: MarietLearning2016 accessed: - year: 2022 month: 8 day: 25 author: - family: Mariet given: Zelda Elaine citation-key: MarietLearning2016 genre: Thesis issued: - year: 2016 language: eng publisher: Massachusetts Institute of Technology title: Learning and enforcing diversity with Determinantal Point Processes type: thesis URL: https://dspace.mit.edu/handle/1721.1/103671 - id: McCullaghPermanental2006 accessed: - year: 2019 month: 8 day: 19 author: - family: McCullagh given: Peter - family: Møller given: Jesper citation-key: McCullaghPermanental2006 container-title: Advances in Applied Probability DOI: 10.1017/S0001867800001361 ISSN: 0001-8678, 1475-6064 issue: '4' issued: - year: 2006 month: 12 language: en page: 873-888 title: The permanental process type: article-journal URL: https://vbn.aau.dk/en/publications/the-permanent-process volume: '38' - id: MollerModern2007 accessed: - year: 2014 month: 2 day: 20 author: - family: Møller given: Jesper - family: Waagepetersen given: Rasmus Plenge citation-key: MollerModern2007 container-title: Scandinavian Journal of Statistics DOI: 10.1111/j.1467-9469.2007.00569.x ISSN: 1467-9469 issue: '4' issued: - year: 2007 language: en page: 643–684 title: Modern Statistics for Spatial Point Processes type: article-journal URL: https://www.math.ntnu.no/~joeid/TMA4250/point_proc.pdf volume: '34' - id: MollerRecent2017 accessed: - year: 2019 month: 10 day: 10 author: - family: Møller given: Jesper - family: Waagepetersen given: Rasmus citation-key: MollerRecent2017 container-title: Annual Review of Statistics and Its Application DOI: 10.1146/annurev-statistics-060116-054055 issue: '1' issued: - year: 2017 page: 317-342 title: Some Recent Developments in Statistics for Spatial Point Patterns type: article-journal URL: https://arxiv.org/abs/1609.00908 volume: '4' - id: OsogamiDynamic2018 accessed: - year: 2018 month: 7 day: 30 author: - family: Osogami given: Takayuki - family: Raymond given: Rudy - family: Goel given: Akshay - family: Shirai given: Tomoyuki - family: Maehara given: Takanori citation-key: OsogamiDynamic2018 container-title: Thirty-Second AAAI Conference on Artificial Intelligence event-title: Thirty-Second AAAI Conference on Artificial Intelligence issued: - year: 2018 month: 4 day: 29 language: en title: Dynamic Determinantal Point Processes type: paper-conference URL: https://www.aaai.org/ocs/index.php/AAAI/AAAI18/paper/view/16081 - id: PemantleDistribution2013 author: - family: Pemantle given: Robin - family: Rivin given: Igor citation-key: PemantleDistribution2013 container-title: Advances in Combinatorics editor: - family: Kotsireas given: Ilias S. - family: Zima given: Eugene V. ISBN: 978-3-642-30979-3 issued: - year: 2013 language: en page: 259-273 publisher: Springer Berlin Heidelberg title: The Distribution of Zeros of the Derivative of a Random Polynomial type: paper-conference - id: PerrotMapping author: - family: Perrot given: Michaël - family: Courty given: Nicolas - family: Flamary given: Rémi - family: Habrard given: Amaury citation-key: PerrotMapping language: en page: '9' title: Mapping Estimation for Discrete Optimal Transport type: article-journal - id: PeyreGromovWasserstein2016 accessed: - year: 2021 month: 3 day: 15 author: - family: Peyré given: Gabriel - family: Cuturi given: Marco - family: Solomon given: Justin citation-key: PeyreGromovWasserstein2016 container-title: International Conference on Machine Learning event-title: International Conference on Machine Learning ISSN: 1938-7228 issued: - year: 2016 month: 6 day: 11 language: en page: 2664-2672 publisher: PMLR title: Gromov-Wasserstein Averaging of Kernel and Distance Matrices type: paper-conference URL: http://proceedings.mlr.press/v48/peyre16.html - id: QiaoFast2016 accessed: - year: 2021 month: 3 day: 15 author: - family: Qiao given: Maoying - family: Xu given: Richard Yi Da - family: Bian given: Wei - family: Tao given: Dacheng citation-key: QiaoFast2016 container-title: ACM Transactions on Knowledge Discovery from Data container-title-short: ACM Trans. Knowl. Discov. Data DOI: 10.1145/2943785 ISSN: 1556-4681 issue: '1' issued: - year: 2016 month: 7 day: 20 page: 8:1–8:24 title: Fast Sampling for Time-Varying Determinantal Point Processes type: article-journal volume: '11' - id: RedkoOptimal2019 accessed: - year: 2021 month: 3 day: 15 author: - family: Redko given: Ievgen - family: Courty given: Nicolas - family: Flamary given: Rémi - family: Tuia given: Devis citation-key: RedkoOptimal2019 container-title: The 22nd International Conference on Artificial Intelligence and Statistics event-title: The 22nd International Conference on Artificial Intelligence and Statistics ISSN: 2640-3498 issued: - year: 2019 month: 4 day: 11 language: en page: 849-858 publisher: PMLR title: Optimal Transport for Multi-source Domain Adaptation under Target Shift type: paper-conference URL: http://proceedings.mlr.press/v89/redko19a.html - id: SchmitzerStabilized2019 accessed: - year: 2021 month: 3 day: 15 author: - family: Schmitzer given: Bernhard citation-key: SchmitzerStabilized2019 container-title: arXiv:1610.06519 [cs, math] issued: - year: 2019 month: 2 day: 11 language: en title: >- Stabilized Sparse Scaling Algorithms for Entropy Regularized Transport Problems type: article-journal URL: http://arxiv.org/abs/1610.06519 - id: SolomonConvolutional2015 accessed: - year: 2018 month: 8 day: 29 author: - family: Solomon given: Justin - family: Goes given: Fernando non-dropping-particle: de - family: Peyré given: Gabriel - family: Cuturi given: Marco - family: Butscher given: Adrian - family: Nguyen given: Andy - family: Du given: Tao - family: Guibas given: Leonidas citation-key: SolomonConvolutional2015 container-title: ACM Transactions on Graphics DOI: 10.1145/2766963 ISSN: 0730-0301 issue: '4' issued: - year: 2015 month: 7 page: 66:1–66:11 title: >- Convolutional Wasserstein Distances: Efficient Optimal Transportation on Geometric Domains type: article-journal URL: http://doi.acm.org/10.1145/2766963 volume: '34' - id: SoshnikovDeterminantal2000 accessed: - year: 2018 month: 8 day: 6 author: - family: Soshnikov given: A. citation-key: SoshnikovDeterminantal2000 container-title: Russian Mathematical Surveys container-title-short: Russ. Math. Surv. DOI: 10.1070/RM2000v055n05ABEH000321 ISSN: 0036-0279 issue: '5' issued: - year: 2000 language: en page: '923' title: Determinantal random point fields type: article-journal URL: http://arxiv.org/abs/math/0002099 volume: '55' - id: TorrisiLarge2014 accessed: - year: 2018 month: 7 day: 30 author: - family: Torrisi given: Giovanni Luca - family: Leonardi given: Emilio citation-key: TorrisiLarge2014 container-title: Stochastic Systems container-title-short: Stochastic Systems DOI: 10.1287/13-SSY109 ISSN: 1946-5238 issue: '1' issued: - year: 2014 month: 1 day: 27 page: 173-205 title: Large Deviations of the Interference in the Ginibre Network Model type: article-journal volume: '4' - id: XieDeep2017 accessed: - year: 2018 month: 8 day: 13 author: - family: Xie given: Pengtao - family: Salakhutdinov given: Ruslan - family: Mou given: Luntian - family: Xing given: Eric P. citation-key: XieDeep2017 DOI: 10.1109/ICCV.2017.59 ISBN: 978-1-5386-1032-9 issued: - year: 2017 month: 10 language: en page: 473-482 publisher: IEEE title: Deep Determinantal Point Process for Large-Scale Multi-label Classification type: paper-conference ...