TN
Tom Needham
math.MGmath.DGmath.ATcs.CGcs.LGmath.OCmath.FAstat.MLmath.SGstat.ME
On Valency
published · living versionsW_qmxhkx46·v1 · currentpublished
Landscape Intervals: A Geometric Framework for Multiparameter Persistence Landscapes
with Pan Fang, Washington Mio
1 version
Preprints & journals
54 papers in the corpus · 2017–2026Certifiably Correct Fréchet Means in Orbit Spaces2610.24191v2 · Dustin G. Mixon, Tom Needham, Nathan Willey2026 · 0 citationsarXiv
Metric Geometry of Lebesgue, Wasserstein, and Gromov-Wasserstein Spaces: Submetries, Curvature, and Geodesics2608.11680v1 · Martin Bauer, Facundo M'emoli, Tom Needham et al.2026 · 0 citationsarXiv
The Observable Wasserstein Distance2605.09916v2 · Edivaldo Lopes dos Santos, Leandro Vicente Mauri, Washington Mio et al.2026 · 0 citationsarXiv
Geometric Perspective on Concentration Phenomena in Frame Theory2605.03867v2 · Samuel A. Ballas, Ferhat Karabatman, Tom Needham2026 · 0 citationsarXiv
On the Hausdorff stability of barcodes over posets2601.16947v1 · Mujtaba Ali, Tom Needham, Anastasios Stefanou et al.2026 · 0 citationsarXiv
A Benamou-Brenier Proximal Splitting Method for Constrained Unbalanced Optimal Transport2512.09250v1 · Mao Nishino, Martin Bauer, Tom Needham et al.2025 · 0 citationsarXiv
Flexible and Probabilistic Topology Tracking With Partial Optimal Transport.40232922 · Li, Mingzhe, Yan, Xinyuan, Yan, Lin et al.2025 · 7 citationsIEEE transactions on visualization and computer graphics. 2025;31(10):7951-7969
Metrics for Parametric Families of Networks2509.22549v1 · Mario G'omez, Guanqun Ma, Tom Needham et al.2025 · 0 citationsarXiv
Conic Formulations of Transport Metrics for Unbalanced Measure Networks and Hypernetworks2508.10888v2 · Mary Chriselda Antony Oliver, Emmanuel Hartman, Tom Needham2025 · 0 citationsarXiv
Equivalence of Landscape and Erosion Distances for Persistence Diagrams2506.21488v3 · Cagatay Ayhan, Tom Needham2025 · 0 citationsarXiv
Optimization and the Topology of Spaces of Parseval Frames2505.14860v1 · Anthony Caine, Tom Needham, Clayton Shonkwiler2025 · 0 citationsSIAM Journal on Matrix Analysis and Applications 47 (2026), no. 3, 1375-1399
Robust Representation and Estimation of Barycenters and Modes of Probability Measures on Metric Spaces2505.09609v2 · Washington Mio, Tom Needham2025 · 0 citationsarXiv
Stability of Hypergraph Invariants and Transformations2412.02020v1 · Tom Needham, Ethan Semrad2024 · 0 citationsarXiv
Fused Gromov-Wasserstein Variance Decomposition with Linear Optimal Transport2411.10204v1 · Michael Wilson, Tom Needham, Anuj Srivastava2024 · 1 citationarXiv
Cortical Coding of Gustatory and Thermal Signals in Active Licking Mice.39185224 · Nash, Audrey N, Shakeshaft, Morgan, Bouaichi, Cecilia G et al.2025 · 3 citationsbioRxiv : the preprint server for biology. 2024
Statistical Analysis of Complex Shape Graphs.38857130 · Bal, Aditi Basu, Guo, Xiaoyang, Needham, Tom et al.2024 · 6 citationsIEEE transactions on pattern analysis and machine intelligence. 2024;46(12):8788-8805
Metric properties of partial and robust Gromov-Wasserstein distances2411.02198v2 · Jannatul Chhoa, Michael Ivanitskiy, Fushuai Jiang et al.2024 · 0 citationsarXiv
Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework2409.06302v2 · Stephen Y Zhang, Fangfei Lan, Youjia Zhou et al.2024 · 0 citationsarXiv
The Z-Gromov-Wasserstein Distance2408.08233v4 · Martin Bauer, Facundo M'emoli, Tom Needham et al.2024 · 0 citationsarXiv
Generalized Dimension Reduction Using Semi-Relaxed Gromov-Wasserstein Distance2405.15959v3 · Ranthony A. Clark, Tom Needham, Thomas Weighill2024 · 4 citationsarXiv
Geometric Approaches to Matrix Normalization and Graph Balancing2405.06190v2 · Tom Needham, Clayton Shonkwiler2024 · 0 citationsForum of Mathematics, Sigma 13 (2025) e149
Topological Optimal Transport for Geometric Cycle Matching2403.19097v2 · Stephen Y Zhang, Michael P H Stumpf, Tom Needham et al.2024 · 2 citationsarXiv
Path constrained unbalanced optimal transport2402.15860v4 · Martin Bauer, Nicolas Charon, Tom Needham et al.2024 · 1 citationNonlinearity, 38(7): 075019 (35pp), 2025
A Wasserstein-Type Distance for Gaussian Mixtures on Vector Bundles with Applications to Shape Analysis.40746640 · Wilson, Michael, Needham, Tom, Park, Chiwoo et al.2026 · 3 citationsSIAM journal on imaging sciences. 2024;17(3):1433-1466
On the existence of Parseval frames for vector bundles2312.13488v1 · Samuel A. Ballas, Tom Needham, Clayton Shonkwiler2023 · 1 citationTransactions of the American Mathematical Society, Series B 12 (2025), 395-416
Stability and Approximations for Decorated Reeb Spaces2312.01982v2 · Justin Curry, Washington Mio, Tom Needham et al.2023 · 0 citationsarXiv
Interleaving Distances, Monoidal Actions and 2-Categories2311.11936v1 · Patrick K. McFaddin, Tom Needham2023 · 0 citationsAlgebr. Geom. Topol. 26 (2026) 227-281
Comparing Morse Complexes Using Optimal Transport: An Experimental Study2309.04681v1 · Mingzhe Li, Carson Storm, Austin Yang Li et al.2023 · 1 citationarXiv
Topologically Attributed Graphs for Shape Discrimination2306.17805v1 · Justin Curry, Washington Mio, Tom Needham et al.2023 · 1 citationarXiv
Convergence of Leray Cosheaves for Decorated Mapper Graphs2303.00130v2 · Justin Curry, Washington Mio, Tom Needham et al.2023 · 0 citationsarXiv
Comparison Results for Gromov-Wasserstein and Gromov-Monge Distances2212.14123v3 · Facundo M'emoli, Tom Needham2022 · 4 citationsarXiv
Statistical Shape Analysis of Shape Graphs with Applications to Retinal Blood-Vessel Networks2211.15514v1 · Aditi Basu Bal, Xiaoyang Guo, Tom Needham et al.2022 · 1 citationarXiv
Active Licking Shapes Cortical Taste Coding.36195439 · Neese, Camden, Bouaichi, Cecilia G, Needham, Tom et al.2022 · 11 citationsThe Journal of neuroscience : the official journal of the Society for Neuroscience. 2022;42(46):8658-8669
Elastic Metrics on Spaces of Euclidean Curves: Theory and Algorithms2209.09862v1 · Martin Bauer, Nicolas Charon, Eric Klassen et al.2022 · 8 citationsarXiv
Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent2208.11045v1 · Tom Needham, Clayton Shonkwiler2022 · 1 citationJournal of Fourier Analysis and Applications 29 (2023), no. 4, 51
Hypergraph Co-Optimal Transport: Metric and Categorical Properties2112.03904v3 · Samir Chowdhury, Tom Needham, Ethan Semrad et al.2021 · 15 citationsarXiv
Three proofs of the Benedetto-Fickus theorem2112.02916v1 · Dustin G. Mixon, Tom Needham, Clayton Shonkwiler et al.2021 · 2 citationsIn: Stephen D. Casey, M. Maurice Dodson, Paulo J.S.G. Ferreira, Ahmed Zayed, editors, Sampling, Approximation, and Signal Analysis: Harmonic Analysis in the Spirit of J. Rowland Higgins, Birkh\"auser, Cham, 2023, 371-391
Toric Symplectic Geometry and Full Spark Frames2110.11295v2 · Tom Needham, Clayton Shonkwiler2021 · 4 citationsApplied and Computational Harmonic Analysis 61 (2022), 254-287
Admissibility and Frame Homotopy for Quaternionic Frames2108.02275v2 · Tom Needham, Clayton Shonkwiler2021 · 7 citationsLinear Algebra and its Applications 645 (2022), 237-255
Geometric averages of partitioned datasets2107.03460v1 · Tom Needham, Thomas Weighill2021 · 1 citationarXiv
Quantized Gromov-Wasserstein2104.02013v2 · Samir Chowdhury, David Miller, Tom Needham2021 · 21 citationsarXiv
Decorated Merge Trees for Persistent Topology2103.15804v5 · Justin Curry, Haibin Hang, Washington Mio et al.2021 · 19 citationsarXiv
Statistical Shape Analysis of Brain Arterial Networks (BAN)2007.04793v2 · Xiaoyang Guo, Aditi Basu Bal, Tom Needham et al.2020 · 11 citationsarXiv
The (homological) persistence of gerrymandering2007.02390v1 · Moon Duchin, Tom Needham, Thomas Weighill2020 · 10 citationsarXiv
Generalized Spectral Clustering via Gromov-Wasserstein Learning2006.04163v2 · Samir Chowdhury, Tom Needham2020 · 20 citationsarXiv
The Weighted Euler Curve Transform for Shape and Image Analysis2004.11128v1 · Qitong Jiang, Sebastian Kurtek, Tom Needham2020 · 17 citationsarXiv
Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves.34386150 · Needham, Tom, Kurtek, Sebastian2021 · 27 citationsSIAM journal on imaging sciences. 2020;13(1):445-473
Gromov-Wasserstein Averaging in a Riemannian Framework1910.04308v2 · Samir Chowdhury, Tom Needham2019 · 27 citationsarXiv
Distance distributions and inverse problems for metric measure spaces1810.09646v5 · Facundo M'emoli, Tom Needham2018 · 19 citationsarXiv
Shape analysis of framed space curves1807.03477v1 · Tom Needham2018 · 6 citationsarXiv
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