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Steve Oudot
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- affiliation: Inria and Institut Polytechnique de Paris, France
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2020 – today
- 2024
- [j24]Steve Oudot, Luis Scoccola:
On the Stability of Multigraded Betti Numbers and Hilbert Functions. SIAM J. Appl. Algebra Geom. 8(1): 54-88 (2024) - [c32]Luis Scoccola, Siddharth Setlur, David Loiseaux, Mathieu Carrière, Steve Oudot:
Differentiability and Optimization of Multiparameter Persistent Homology. ICML 2024 - [c31]Diana Marin, Amal Dev Parakkat, Stefan Ohrhallinger, Michael Wimmer, Steve Oudot, Pooran Memari:
SING: Stability-Incorporated Neighborhood Graph. SIGGRAPH Asia 2024: 130:1-130:10 - [c30]Vadim Lebovici, Steve Oudot, Hugo Passe:
Efficient Computation of Topological Integral Transforms. SEA 2024: 22:1-22:19 - [i30]Vadim Lebovici, Steve Oudot, Hugo Passe:
Efficient computation of topological integral transforms. CoRR abs/2405.02256 (2024) - [i29]Soham Mukherjee, Shreyas N. Samaga, Cheng Xin, Steve Oudot, Tamal K. Dey:
D-GRIL: End-to-End Topological Learning with 2-parameter Persistence. CoRR abs/2406.07100 (2024) - [i28]Luis Scoccola, Siddharth Setlur, David Loiseaux, Mathieu Carrière, Steve Oudot:
Differentiability and Optimization of Multiparameter Persistent Homology. CoRR abs/2406.07224 (2024) - [i27]Julie Mordacq, Léo Milecki, Maria Vakalopoulou, Steve Oudot, Vicky Kalogeiton:
ADAPT: Multimodal Learning for Detecting Physiological Changes under Missing Modalities. CoRR abs/2407.03836 (2024) - [i26]Alex Fernandes, Steve Oudot, François Petit:
Computation of γ-linear projected barcodes for multiparameter persistence. CoRR abs/2408.01065 (2024) - 2023
- [j23]Jacob Leygonie, Mathieu Carrière, Théo Lacombe, Steve Oudot:
A gradient sampling algorithm for stratified maps with applications to topological data analysis. Math. Program. 202(1): 199-239 (2023) - [c29]David Loiseaux, Luis Scoccola, Mathieu Carrière, Magnus Bakke Botnan, Steve Oudot:
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures. NeurIPS 2023 - [i25]David Loiseaux, Luis Scoccola, Mathieu Carrière, Magnus Bakke Botnan, Steve Oudot:
Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures. CoRR abs/2306.03801 (2023) - 2022
- [j22]Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot:
On Rectangle-Decomposable 2-Parameter Persistence Modules. Discret. Comput. Geom. 68(4): 1078-1101 (2022) - [j21]Jacob Leygonie, Steve Oudot, Ulrike Tillmann:
A Framework for Differential Calculus on Persistence Barcodes. Found. Comput. Math. 22(4): 1069-1131 (2022) - [c28]Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot:
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions. SoCG 2022: 19:1-19:18 - [i24]Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot, Luis Scoccola:
On the bottleneck stability of rank decompositions of multi-parameter persistence modules. CoRR abs/2208.00300 (2022) - 2021
- [i23]Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot:
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions. CoRR abs/2107.06800 (2021) - [i22]Jacob Leygonie, Mathieu Carrière, Théo Lacombe, Steve Oudot:
A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis. CoRR abs/2109.00530 (2021) - [i21]Steve Oudot, Luis Scoccola:
On the stability of multigraded Betti numbers and Hilbert functions. CoRR abs/2112.11901 (2021) - 2020
- [j20]Jérémy Cochoy, Steve Oudot:
Decomposition of Exact pfd Persistence Bimodules. Discret. Comput. Geom. 63(2): 255-293 (2020) - [j19]Michael Kerber, Michael Lesnick, Steve Oudot:
Exact computation of the matching distance on 2-parameter persistence modules. J. Comput. Geom. 11(2): 4-25 (2020) - [c27]Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot:
On Rectangle-Decomposable 2-Parameter Persistence Modules. SoCG 2020: 22:1-22:16 - [c26]Clément Maria, Steve Oudot, Elchanan Solomon:
Intrinsic Topological Transforms via the Distance Kernel Embedding. SoCG 2020: 56:1-56:15 - [i20]Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot:
On rectangle-decomposable 2-parameter persistence modules. CoRR abs/2002.08894 (2020)
2010 – 2019
- 2019
- [j18]Rachel Jeitziner, Mathieu Carrière, Jacques Rougemont, Steve Oudot, Kathryn Hess, Cathrin Brisken:
Two-Tier Mapper, an unbiased topology-based clustering method for enhanced global gene expression analysis. Bioinform. 35(18): 3339-3347 (2019) - [c25]Michael Kerber, Michael Lesnick, Steve Oudot:
Exact Computation of the Matching Distance on 2-Parameter Persistence Modules. SoCG 2019: 46:1-46:15 - [i19]Nicolas Berkouk, Grégory Ginot, Steve Oudot:
Level-sets persistence and sheaf theory. CoRR abs/1907.09759 (2019) - [i18]Ellen Gasparovic, Elizabeth Munch, Steve Oudot, Katharine Turner, Bei Wang, Yusu Wang:
Intrinsic Interleaving Distance for Merge Trees. CoRR abs/1908.00063 (2019) - [i17]Jacob Leygonie, Steve Oudot, Ulrike Tillmann:
A Framework for Differential Calculus on Persistence Barcodes. CoRR abs/1910.00960 (2019) - 2018
- [j17]Mathieu Carrière, Steve Oudot:
Structure and Stability of the One-Dimensional Mapper. Found. Comput. Math. 18(6): 1333-1396 (2018) - [j16]Mathieu Carrière, Bertrand Michel, Steve Oudot:
Statistical Analysis and Parameter Selection for Mapper. J. Mach. Learn. Res. 19: 12:1-12:39 (2018) - [j15]Thomas Bonis, Steve Oudot:
A fuzzy clustering algorithm for the mode-seeking framework. Pattern Recognit. Lett. 102: 37-43 (2018) - [c24]Théo Lacombe, Marco Cuturi, Steve Oudot:
Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport. NeurIPS 2018: 9792-9802 - [i16]Théo Lacombe, Marco Cuturi, Steve Oudot:
Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport. CoRR abs/1805.08331 (2018) - [i15]Steve Oudot, Elchanan Solomon:
Inverse Problems in Topological Persistence. CoRR abs/1810.10813 (2018) - [i14]Michael Kerber, Michael Lesnick, Steve Oudot:
Exact computation of the matching distance on 2-parameter persistence modules. CoRR abs/1812.09085 (2018) - 2017
- [j14]Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh, Steve Y. Oudot:
Only distances are required to reconstruct submanifolds. Comput. Geom. 66: 32-67 (2017) - [c23]Mathieu Carrière, Steve Oudot:
Local Equivalence and Intrinsic Metrics between Reeb Graphs. SoCG 2017: 25:1-25:15 - [c22]Mathieu Carrière, Marco Cuturi, Steve Oudot:
Sliced Wasserstein Kernel for Persistence Diagrams. ICML 2017: 664-673 - [i13]Mathieu Carrière, Steve Oudot:
Local Equivalence and Intrinsic Metrics between Reeb Graphs. CoRR abs/1703.02901 (2017) - [i12]Mathieu Carrière, Bertrand Michel, Steve Oudot:
Statistical Analysis and Parameter Selection for Mapper. CoRR abs/1706.00204 (2017) - [i11]Mathieu Carrière, Marco Cuturi, Steve Oudot:
Sliced Wasserstein Kernel for Persistence Diagrams. CoRR abs/1706.03358 (2017) - 2016
- [b3]Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Y. Oudot:
The Structure and Stability of Persistence Modules. Springer Briefs in Mathematics, Springer 2016, ISBN 978-3-319-42543-6, pp. I-X, 1-120 - [j13]Mickaël Buchet, Frédéric Chazal, Steve Y. Oudot, Donald R. Sheehy:
Efficient and robust persistent homology for measures. Comput. Geom. 58: 70-96 (2016) - [c21]Mathieu Carrière, Steve Oudot:
Structure and Stability of the 1-Dimensional Mapper. SoCG 2016: 25:1-25:16 - [c20]Thomas Bonis, Maks Ovsjanikov, Steve Oudot, Frédéric Chazal:
Persistence-Based Pooling for Shape Pose Recognition. CTIC 2016: 19-29 - [i10]Clément Maria, Steve Oudot:
Computing Zigzag Persistent Cohomology. CoRR abs/1608.06039 (2016) - 2015
- [b2]Steve Y. Oudot:
Persistence Theory - From Quiver Representations to Data Analysis. Mathematical surveys and monographs 209, American Mathematical Society 2015, ISBN 978-1-4704-2545-6, pp. 1-218 - [j12]Mathieu Carrière, Steve Y. Oudot, Maks Ovsjanikov:
Stable Topological Signatures for Points on 3D Shapes. Comput. Graph. Forum 34(5): 1-12 (2015) - [j11]Steve Y. Oudot, Donald R. Sheehy:
Zigzag Zoology: Rips Zigzags for Homology Inference. Found. Comput. Math. 15(5): 1151-1186 (2015) - [c19]Mickaël Buchet, Frédéric Chazal, Tamal K. Dey, Fengtao Fan, Steve Y. Oudot, Yusu Wang:
Topological Analysis of Scalar Fields with Outliers. SoCG 2015: 827-841 - [c18]Mickaël Buchet, Frédéric Chazal, Steve Y. Oudot, Donald R. Sheehy:
Efficient and Robust Persistent Homology for Measures. SODA 2015: 168-180 - [c17]Clément Maria, Steve Y. Oudot:
Zigzag Persistence via Reflections and Transpositions. SODA 2015: 181-199 - [i9]Mathieu Carrière, Steve Oudot:
Structure and Stability of the 1-Dimensional Mapper. CoRR abs/1511.05823 (2015) - 2014
- [i8]Jean-Daniel Boissonnat, Ramsay Dyer, Arijit Ghosh, Steve Y. Oudot:
Only distances are required to reconstruct submanifolds. CoRR abs/1410.7012 (2014) - [i7]Mickaël Buchet, Frédéric Chazal, Tamal K. Dey, Fengtao Fan, Steve Y. Oudot, Yusu Wang:
Topological analysis of scalar fields with outliers. CoRR abs/1412.1680 (2014) - 2013
- [j10]Tamal K. Dey, Steve Y. Oudot:
Guest Editors' Foreword. Discret. Comput. Geom. 49(4): 707-709 (2013) - [j9]Frédéric Chazal, Leonidas J. Guibas, Steve Y. Oudot, Primoz Skraba:
Persistence-Based Clustering in Riemannian Manifolds. J. ACM 60(6): 41:1-41:38 (2013) - [c16]Steve Y. Oudot, Donald R. Sheehy:
Zigzag zoology: rips zigzags for homology inference. SoCG 2013: 387-396 - [c15]Frédéric Chazal, Steve Y. Oudot:
Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis. GSI 2013: 587-592 - [i6]Mickaël Buchet, Frédéric Chazal, Steve Y. Oudot, Donald R. Sheehy:
Efficient and Robust Topological Data Analysis on Metric Spaces. CoRR abs/1306.0039 (2013) - 2012
- [i5]Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot:
The structure and stability of persistence modules. CoRR abs/1207.3674 (2012) - [i4]Frédéric Chazal, Vin de Silva, Steve Oudot:
Persistence stability for geometric complexes. CoRR abs/1207.3885 (2012) - 2011
- [j8]Frédéric Chazal, Leonidas J. Guibas, Steve Y. Oudot, Primoz Skraba:
Scalar Field Analysis over Point Cloud Data. Discret. Comput. Geom. 46(4): 743-775 (2011) - [c14]Frédéric Chazal, Leonidas J. Guibas, Steve Y. Oudot, Primoz Skraba:
Persistence-based clustering in riemannian manifolds. SCG 2011: 97-106 - 2010
- [j7]Steve Oudot, Laurent Rineau, Mariette Yvinec:
Meshing volumes with curved boundaries. Eng. Comput. 26(3): 265-279 (2010) - [j6]Steve Oudot, Leonidas J. Guibas, Jie Gao, Yue Wang:
Geodesic delaunay triangulations in bounded planar domains. ACM Trans. Algorithms 6(4): 67:1-67:47 (2010) - [c13]Benoît Hudson, Gary L. Miller, Steve Oudot, Donald R. Sheehy:
Topological inference via meshing. SCG 2010: 277-286 - [i3]David Arthur, Steve Y. Oudot:
Reverse Nearest Neighbors Search in High Dimensions using Locality-Sensitive Hashing. CoRR abs/1011.4955 (2010)
2000 – 2009
- 2009
- [j5]Frédéric Chazal, David Cohen-Steiner, Leonidas J. Guibas, Facundo Mémoli, Steve Oudot:
Gromov-Hausdorff Stable Signatures for Shapes using Persistence. Comput. Graph. Forum 28(5): 1393-1403 (2009) - [j4]Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot:
Manifold Reconstruction in Arbitrary Dimensions Using Witness Complexes. Discret. Comput. Geom. 42(1): 37-70 (2009) - [c12]Frédéric Chazal, David Cohen-Steiner, Marc Glisse, Leonidas J. Guibas, Steve Oudot:
Proximity of persistence modules and their diagrams. SCG 2009: 237-246 - [c11]Frédéric Chazal, Leonidas J. Guibas, Steve Oudot, Primoz Skraba:
Analysis of scalar fields over point cloud data. SODA 2009: 1021-1030 - 2008
- [j3]Leonidas J. Guibas, Steve Oudot:
Reconstruction Using Witness Complexes. Discret. Comput. Geom. 40(3): 325-356 (2008) - [c10]Frédéric Chazal, Steve Oudot:
Towards persistence-based reconstruction in euclidean spaces. SCG 2008: 232-241 - [c9]Jie Gao, Leonidas J. Guibas, Steve Oudot, Yue Wang:
Geodesic Delaunay triangulation and witness complex in the plane. SODA 2008: 571-580 - [i2]Steve Oudot:
On the Topology of the Restricted Delaunay Triangulation and Witness Complex in Higher Dimensions. CoRR abs/0803.1296 (2008) - 2007
- [j2]Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot:
Learning smooth shapes by probing. Comput. Geom. 37(1): 38-58 (2007) - [c8]Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot:
Manifold reconstruction in arbitrary dimensions using witness complexes. SCG 2007: 194-203 - [c7]Leonidas J. Guibas, Steve Oudot:
Reconstruction using witness complexes. SODA 2007: 1076-1085 - [i1]Frédéric Chazal, Steve Oudot:
Towards Persistence-Based Reconstruction in Euclidean Spaces. CoRR abs/0712.2638 (2007) - 2006
- [c6]Jean-Daniel Boissonnat, Steve Oudot:
Provably good sampling and meshing of Lipschitz surfaces. SCG 2006: 337-346 - 2005
- [b1]Steve Y. Oudot:
Sampling and Meshing Surfaces with Guarantees. (Échantillonnage et maillage de surfaces avec garanties). École Polytechnique, Palaiseau, France, 2005 - [j1]Jean-Daniel Boissonnat, Steve Oudot:
Provably good sampling and meshing of surfaces. Graph. Model. 67(5): 405-451 (2005) - [c5]Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot:
Learning smooth objects by probing. SCG 2005: 198-207 - [c4]Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve Oudot:
Learning smooth objects by probing. SCG 2005: 364-365 - [c3]Steve Oudot, Laurent Rineau, Mariette Yvinec:
Meshing Volumes Bounded by Smooth Surfaces. IMR 2005: 203-219 - 2004
- [c2]Jean-Daniel Boissonnat, Steve Oudot:
An effective condition for sampling surfaces with guarantees. Symposium on Solid Modeling and Applications 2004: 101-112 - 2003
- [c1]Steve Oudot, Jean-Daniel Boissonnat:
Provably Good Surface Sampling and Approximation. Symposium on Geometry Processing 2003: 9-18
Coauthor Index
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