001 A simplex-based measure of symmetry arXiv Paper Egor Bakaev, Amir Yehudayoff Jul 4 002 Magnitude-Based Features for Multispecies Spatial Data arXiv Paper Julia Sollberger et al. Jun 10 003 Non-Archimedean Polydisc Spaces and Applications to Optimisation arXiv Paper Paul Lezeau, Y. Fam et al. Jun 5 004 Fused Gromov-Wasserstein Distance with Feature Selection arXiv Paper Harlin Lee, Ying Yu et al. May 12 005 The Observable Wasserstein Distance arXiv Paper E. L. Santos, Leandro V. Mauri et al. May 11 006 Progress in Formalizing Sphere Packing in Dimension 8 arXiv Paper S. Hariharan, C. Birkbeck et al. Apr 25 007 A weighted angle distance on strings arXiv Paper G. Molnar Apr 22 008 Bistable Quad-Nets Composed of Four-Bar Linkages arXiv Paper Gudrun Szewieczek et al. Apr 1 009 Minimum Norm Interpolation via the Local Theory of Banach Spaces: The Role of $2$-Uniform Convexity arXiv Paper Gil Kur, Pierre Bizeul Mar 30 010 Neural collapse in the orthoplex regime arXiv Paper J. Alcala, R. Andreeva et al. Mar 21 011 Time warping with Hellinger elasticity arXiv Paper Yuly Billig Mar 9 012 ImprovEvolve: Basin-Hopping Meets LLM-Guided Evolutionary Search arXiv Paper Alexey Kravatskiy, V. Khrulkov et al. Feb 10 013 Metric geometry for ranking-based voting: Tools for learning electoral structure arXiv Paper Moon Duchin et al. Feb 10 014 Statistical Guarantees for Reasoning Probes on Looped Boolean Circuits arXiv Paper Anastasis Kratsios et al. Feb 3 015 Topological Residual Asymmetry for Bivariate Causal Direction arXiv Paper Mouad El Bouchattaoui Jan 31 016 Finding Kissing Numbers with Game-theoretic Reinforcement Learning arXiv Paper Chengdong Ma, Th'eo Tao Zhaowei et al. Nov 17, 2025 017 Reconstruction and Secrecy under Approximate Distance Queries arXiv Paper Shay Moran et al. Nov 9, 2025 018 Mathematical exploration and discovery at scale arXiv Paper Bogdan Georgiev et al. Nov 3, 2025 019 Quantitative Bounds for Sorting-Based Permutation-Invariant Embeddings arXiv Paper Nadav Dym et al. Oct 25, 2025 020 Busemann Functions in the Wasserstein Space: Existence, Closed-Forms, and Applications to Slicing arXiv Paper Clément Bonet et al. Oct 6, 2025 021 Optimal Regularization Under Uncertainty: Distributional Robustness and Convexity Constraints arXiv Paper Oscar Leong et al. Oct 3, 2025 022 Quantum-inspired Benchmark for Estimating Intrinsic Dimension arXiv Paper Aritra Das et al. Oct 1, 2025 023 Metrics for Parametric Families of Networks arXiv Paper Mario Gómez et al. Sep 26, 2025 024 Slicing Wasserstein Over Wasserstein Via Functional Optimal Transport arXiv Paper Moritz Piening et al. Sep 26, 2025 025 Maximum diversity and weighting for invariants of periodic time series arXiv Paper Byungchang So Sep 14, 2025 026 Learning from one graph: transductive learning guarantees via the geometry of small random worlds arXiv Paper Nils Detering et al. Sep 8, 2025 027 Quantum State Fidelity for Functional Neural Network Construction arXiv Paper Sk Chan, W. Smith et al. Aug 23, 2025 028 Conic Formulations of Transport Metrics for Unbalanced Measure Networks and Hypernetworks arXiv Paper Mary Chriselda Antony Oliver et al. Aug 14, 2025 029 Testing the variety hypothesis arXiv Paper A. Lerario et al. Jul 22, 2025 030 A Survey of Dimension Estimation Methods arXiv Paper James A. D. Binnie et al. Jul 18, 2025 031 Approximation Depth of Convex Polytopes arXiv Paper Egor Bakaev et al. Jul 10, 2025 032 Lipschitz Bounds for Persistent Laplacian Eigenvalues under One-Simplex Insertions arXiv Paper Le Vu Anh et al. Jun 26, 2025 033 Spectral Contraction of Boundary-Weighted Filters on delta-Hyperbolic Graphs arXiv Paper Le Vu Anh et al. Jun 18, 2025 034 Infinity Search: Approximate Vector Search with Projections on q-Metric Spaces arXiv Paper Antonio Pariente et al. Jun 6, 2025 035 Vector valued optimal transport: from dynamic to static formulations arXiv Paper Katy Craig et al. May 6, 2025 036 How to Learn a Star: Binary Classification with Starshaped Polyhedral Sets arXiv Paper Marie-Charlotte Brandenburg, Katharina Jochemko May 2, 2025 037 Quaternion Domain Super MDS for 3D Localization arXiv Paper Keigo Masuoka et al. Apr 24, 2025 038 Robust Estimation in metric spaces: Achieving Exponential Concentration with a Fréchet Median arXiv Paper Jakwang Kim, Jiyoung Park et al. Apr 19, 2025 039 Limits of Discrete Energy of Families of Increasing Sets arXiv Paper Hari Sarang Nathan Apr 15, 2025 040 Tropical Bisectors and Carlini-Wagner Attacks arXiv Paper Gillian Grindstaff, Julia Lindberg et al. Mar 28, 2025 041 Linear-Size Neural Network Representation of Piecewise Affine Functions in $\mathbb{R}^2$ arXiv Paper Leo Zanotti Mar 17, 2025 042 Merging Hazy Sets with m-Schemes: A Geometric Approach to Data Visualization arXiv Paper Lukas Silvester Barth et al. Mar 3, 2025 043 Is magnitude 'generically continuous' for finite metric spaces? arXiv Paper Hirokazu Katsumasa et al. Jan 15, 2025 044 Emergence of Self-Identity in AI: A Mathematical Framework and Empirical Study with Generative Large Language Models arXiv Paper Minhyeok Lee Nov 27, 2024 045 A cohomology-based Gromov-Hausdorff metric approach for quantifying molecular similarity arXiv Paper JunJie Wee et al. Nov 21, 2024 046 On lower bounds of the density of planar periodic sets without unit distances arXiv Paper Alexander Tolmachev Nov 20, 2024 047 Linear Spherical Sliced Optimal Transport: A Fast Metric for Comparing Spherical Data arXiv Paper Xinran Liu, Yikun Bai et al. Nov 9, 2024 048 Metric properties of partial and robust Gromov-Wasserstein distances arXiv Paper Jannatul Chhoa et al. Nov 4, 2024 049 Expected Sliced Transport Plans arXiv Paper Xinran Liu, Roc'io D'iaz Mart'in et al. Oct 16, 2024 050 Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework arXiv Paper Stephen Y Zhang et al. Sep 10, 2024 051 Approximating Metric Magnitude of Point Sets arXiv Paper R. Andreeva, James Ward et al. Sep 6, 2024 052 Fitting trees to $\ell_1$-hyperbolic distances arXiv Paper Joon-Hyeok Yim, A. Gilbert Sep 2, 2024 053 The Star Geometry of Critic-Based Regularizer Learning arXiv Paper Oscar Leong, E. O'Reilly et al. Aug 29, 2024 054 Neural Spacetimes for DAG Representation Learning arXiv Paper Haitz Sáez de Ocáriz Borde, Anastasis Kratsios et al. Aug 25, 2024 055 The Z-Gromov-Wasserstein Distance arXiv Paper Martin Bauer, Facundo M'emoli et al. Aug 15, 2024 056 IsUMap: Manifold Learning and Data Visualization leveraging Vietoris-Rips filtrations arXiv Paper Lukas Silvester Barth, Fatemeh Fahimi et al. Jul 25, 2024 057 Modelling brain connectomes networks: Solv is a worthy competitor to hyperbolic geometry! arXiv Paper Dorota Celi'nska-Kopczy'nska, Eryk Kopczy'nski Jul 22, 2024 058 Scalar Function Topology Divergence: Comparing Topology of 3D Objects arXiv Paper I. Trofimov, Daria Voronkova et al. Jul 11, 2024 059 Fast and Stable Riemannian Metrics on SPD Manifolds via Cholesky Product Geometry arXiv Paper Ziheng Chen et al. Jul 2, 2024 060 Directed Metric Structures arising in Large Language Models arXiv Paper Stéphane Gaubert, Yiannis Vlassopoulos May 20, 2024