What is missing from this picture? Persistent homology and mixup barcodes as a means of investigating negative embedding space.

Peter Bubenik

Himanshu Yadav Thomas Bryan Smith Peter Bubenik Christopher McCarty What is missing from this picture? Persistent homology and mixup barcodes as a means of investigating negative embedding space. 2025 October abs/2510.14327 CoRR https://doi.org/10.48550/arXiv.2510.14327 db/journals/corr/corr2510.html#abs-2510-14327 streams/journals/corr

Peter Bubenik Iryna Hartsock Topological and metric properties of spaces of generalized persistence diagrams. 347-399 2024 June 8 J. Appl. Comput. Topol. 2 https://doi.org/10.1007/s41468-023-00157-2 db/journals/jact/jact8.html#BubenikH24

Peter Bubenik Nikola Milicevic Homotopy, homology, and persistent homology using closure spaces. 579-641 2024 September 8 J. Appl. Comput. Topol. 3 https://doi.org/10.1007/s41468-024-00183-8 db/journals/jact/jact8.html#BubenikM24 streams/journals/jact

Michael J. Catanzaro Sam Rizzo John J. Kopchick Asadur Chowdury David R. Rosenberg Peter Bubenik Vaibhav A. Diwadkar Topological Data Analysis Captures Task-Driven fMRI Profiles in Individual Participants: A Classification Pipeline Based on Persistence. 45-62 2024 January 22 Neuroinformatics 1 https://doi.org/10.1007/s12021-023-09645-3 db/journals/ni/ni22.html#CatanzaroRKCRBD24

Hubert Wagner Nickolas Arustamyan Matthew Wheeler Peter Bubenik Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds. 2024 abs/2402.15058 CoRR https://doi.org/10.48550/arXiv.2402.15058 db/journals/corr/corr2402.html#abs-2402-15058

Peter Bubenik Jonathan A. Scott Donald Stanley Exact weights, path metrics, and algebraic Wasserstein distances. 185-219 2023 June 7 J. Appl. Comput. Topol. 2 https://doi.org/10.1007/s41468-022-00103-8 db/journals/jact/jact7.html#BubenikSS23

Peter Bubenik Alex Elchesen Universality of persistence diagrams and the bottleneck and Wasserstein distances. 101882 2022 105-106 Comput. Geom. https://doi.org/10.1016/j.comgeo.2022.101882 https://www.wikidata.org/entity/Q114195523 db/journals/comgeo/comgeo105.html#BubenikE22

Leo Betthauser Peter Bubenik Parker B. Edwards Graded Persistence Diagrams and Persistence Landscapes. 203-230 2022 67 Discret. Comput. Geom. 1 https://doi.org/10.1007/s00454-021-00316-1 db/journals/dcg/dcg67.html#BetthauserBE22

Peter Bubenik Alex Elchesen Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces. 429-474 2022 6 J. Appl. Comput. Topol. 4 https://doi.org/10.1007/s41468-022-00091-9 db/journals/jact/jact6.html#BubenikE22

Peter Bubenik Nikola Milicevic Homological Algebra for Persistence Modules. 1233-1278 2021 21 Found. Comput. Math. 5 https://doi.org/10.1007/s10208-020-09482-9 db/journals/focm/focm21.html#BubenikM21

Ashleigh Thomas Kathleen Bates Alex Elchesen Iryna Hartsock Hang Lu Peter Bubenik Topological Data Analysis of C. elegans Locomotion and Behavior. 668395 2021 4 Frontiers Artif. Intell. https://doi.org/10.3389/frai.2021.668395 https://www.wikidata.org/entity/Q112754991 db/journals/frai/frai4.html#ThomasBEHLB21

Parker B. Edwards Kristen Skruber Nikola Milicevic James B. Heidings Tracy-Ann Read Peter Bubenik Eric A. Vitriol TDAExplore: Quantitative analysis of fluorescence microscopy images through topology-based machine learning. 100367 2021 2 Patterns 11 https://doi.org/10.1016/j.patter.2021.100367 https://www.wikidata.org/entity/Q112685647 db/journals/patterns/patterns2.html#EdwardsSMHRBV21

Matthew Wheeler Jose Bouza Peter Bubenik Activation Landscapes as a Topological Summary of Neural Network Performance. 3865-3870 2021 IEEE BigData https://doi.org/10.1109/BigData52589.2021.9671368 conf/bigdataconf/2021 db/conf/bigdataconf/bigdataconf2021.html#WheelerBB21

Matthew Wheeler Jose Bouza Peter Bubenik Activation Landscapes as a Topological Summary of Neural Network Performance. 2021 abs/2110.10136 CoRR https://arxiv.org/abs/2110.10136 db/journals/corr/corr2110.html#abs-2110-10136

Paul Bendich Peter Bubenik Alexander Wagner Stabilizing the unstable output of persistent homology computations. 309-338 2020 4 J. Appl. Comput. Topol. 2 https://doi.org/10.1007/s41468-019-00044-9 https://www.wikidata.org/entity/Q126827870 db/journals/jact/jact4.html#BendichBW20

Peter Bubenik Alexander Wagner Embeddings of persistence diagrams into Hilbert spaces. 339-351 2020 4 J. Appl. Comput. Topol. 3 https://doi.org/10.1007/s41468-020-00056-w db/journals/jact/jact4.html#BubenikW20

Peter Bubenik Alexander Wagner Embeddings of Persistence Diagrams into Hilbert Spaces. 2019 abs/1905.05604 CoRR http://arxiv.org/abs/1905.05604 db/journals/corr/corr1905.html#abs-1905-05604

Peter Bubenik Michael Hull Dhruv Patel Benjamin Whittle Persistent homology detects curvature. 2019 abs/1905.13196 CoRR http://arxiv.org/abs/1905.13196 db/journals/corr/corr1905.html#abs-1905-13196

Peter Bubenik Alex Elchesen Universality of persistence diagrams and the bottleneck and Wasserstein distances. 2019 abs/1912.02563 CoRR http://arxiv.org/abs/1912.02563 db/journals/corr/corr1912.html#abs-1912-02563

Peter Bubenik Tane Vergili Topological spaces of persistence modules and their properties. 233-269 2018 2 J. Appl. Comput. Topol. 3-4 https://doi.org/10.1007/s41468-018-0022-4 db/journals/jact/jact2.html#BubenikV18

Peter Bubenik Pawel Dlotko A persistence landscapes toolbox for topological statistics. 91-114 2017 78 J. Symb. Comput. https://doi.org/10.1016/j.jsc.2016.03.009 https://www.wikidata.org/entity/Q59442804 db/journals/jsc/jsc78.html#BubenikD17

Peter Bubenik Vin de Silva Vidit Nanda Higher Interpolation and Extension for Persistence Modules. 272-284 2017 1 SIAM J. Appl. Algebra Geom. 1 https://doi.org/10.1137/16M1100472 db/journals/siaga/siaga1.html#BubenikSN17

Peter Bubenik Vin de Silva Jonathan A. Scott Metrics for Generalized Persistence Modules. 1501-1531 2015 15 Found. Comput. Math. 6 https://doi.org/10.1007/s10208-014-9229-5 https://www.wikidata.org/entity/Q59442794 db/journals/focm/focm15.html#BubenikSS15

Peter Bubenik Statistical topological data analysis using persistence landscapes. 77-102 2015 16 J. Mach. Learn. Res. https://dl.acm.org/doi/10.5555/2789272.2789275 db/journals/jmlr/jmlr16.html#Bubenik15

Peter Bubenik Pawel Dlotko A persistence landscapes toolbox for topological statistics. 2015 abs/1501.00179 CoRR http://arxiv.org/abs/1501.00179 db/journals/corr/corr1501.html#BubenikD15

Paul Bendich Peter Bubenik Stabilizing the output of persistent homology computations. 2015 abs/1512.01700 CoRR http://arxiv.org/abs/1512.01700 db/journals/corr/corr1512.html#BendichB15

Peter Bubenik Jonathan A. Scott Categorification of Persistent Homology. 600-627 2014 51 Discret. Comput. Geom. 3 https://doi.org/10.1007/s00454-014-9573-x https://www.wikidata.org/entity/Q59442793 db/journals/dcg/dcg51.html#BubenikS14

Peter Bubenik Vin de Silva Jonathan A. Scott Metrics for generalized persistence modules. 2013 abs/1312.3829 CoRR http://arxiv.org/abs/1312.3829 db/journals/corr/corr1312.html#BubenikSS13

Peter Bubenik Jonathan A. Scott Categorification of persistent homology http://arxiv.org/abs/1205.3669 2012 CoRR abs/1205.3669 db/journals/corr/corr1205.html#abs-1205-3669

Peter Bubenik Statistical topology using persistence landscapes http://arxiv.org/abs/1207.6437 2012 CoRR abs/1207.6437 db/journals/corr/corr1207.html#abs-1207-6437

Yuliy M. Baryshnikov Peter Bubenik Matthew Kahle Min-type Morse theory for configuration spaces of hard spheres http://arxiv.org/abs/1108.3061 2011 CoRR abs/1108.3061 db/journals/corr/corr1108.html#abs-1108-3061

Peter Bubenik Simplicial Models for Concurrency. 3-12 2010 conf/getco/2010 GETCO https://doi.org/10.1016/j.entcs.2012.05.002 https://www.wikidata.org/entity/Q113318126 db/journals/entcs/entcs283.html#Bubenik12

Peter Bubenik Simplicial models for concurrency http://arxiv.org/abs/1011.6599 2010 CoRR abs/1011.6599 db/journals/corr/corr1011.html#abs-1011-6599

Moo K. Chung Peter Bubenik Peter T. Kim Persistence Diagrams of Cortical Surface Data. 386-397 2009 IPMI https://doi.org/10.1007/978-3-642-02498-6_32 https://www.wikidata.org/entity/Q33495288 conf/ipmi/2009 db/conf/ipmi/ipmi2009.html#ChungBK09

Peter Bubenik Context for models of concurrency http://arxiv.org/abs/math/0608733 2006 CoRR abs/math/0608733 db/journals/corr/corr0608.html#abs-math-0608733

Peter Bubenik Context for Models of Concurrency. 3-21 2004 conf/getco/2004-5-6 GETCO@DISC https://doi.org/10.1016/j.entcs.2009.02.014 db/journals/entcs/entcs230.html#Bubenik09 Nickolas Arustamyan Yuliy M. Baryshnikov Kathleen Bates Paul Bendich Leo Betthauser Jose Bouza Michael J. Catanzaro Asadur Chowdury Moo K. Chung Vaibhav A. Diwadkar Pawel Dlotko Parker B. Edwards Alexander ElchesenAlex Elchesen Iryna Hartsock James B. Heidings Michael Hull Matthew Kahle Peter T. Kim John J. Kopchick Hang Lu Christopher McCarty Nikola Milicevic Vidit Nanda Dhruv Patel Tracy-Ann Read Sam Rizzo David R. Rosenberg Jonathan A. Scott Vin de Silva Kristen Skruber Thomas Bryan Smith Donald Stanley Ashleigh Thomas Tane Vergili Eric A. Vitriol Alexander Wagner Hubert Wagner Matthew Wheeler Benjamin Whittle Himanshu Yadav