001 Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains arXiv Paper Rama Cont Yesterday 002 Separation Capacity of Scattering Networks on Low-Dimensional Datasets arXiv Paper Konstantin Haberle, Helmut Bolcskei Jul 7 003 Function-Counting Theory for Low-Dimensional Data Structures arXiv Paper Konstantin Haberle, Helmut Bolcskei Jul 1 004 Recovering Governing Equations from Solution Data: Identifiability Bounds for Linear and Nonlinear ODEs arXiv Paper Yang Pan, Helmut Bolcskei Jun 25 005 Limitations of Learning Tanh Neural Networks with Finite Precision arXiv Paper Philipp Grohs, Matvej Trodler Jun 9 006 Almost-Orthogonality in Lp Spaces: A Case Study with Grok arXiv Paper Ziang Chen, Jaume de Dios Pont et al. May 6 007 Grokability in five inequalities arXiv Paper P. Ivanisvili, Xinyuan Xie May 6 008 Exact ReLU realization of tensor-product refinement iterates arXiv Paper T. Gantumur May 5 009 Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements arXiv Paper Boldsaikhan Bolorkhuu, T. Gantumur May 3 010 A Determinantal Approach to a Sharp $\ell^1-\ell^\infty-\ell^2$ Norm Inequality arXiv Paper Jose Antonio Lara Benitez Apr 2 011 Geometric separation and constructive universal approximation with two hidden layers arXiv Paper Chanyoung Sung Feb 12 012 ImprovEvolve: Basin-Hopping Meets LLM-Guided Evolutionary Search arXiv Paper Alexey Kravatskiy, V. Khrulkov et al. Feb 10 013 A Refinement of Vapnik--Chervonenkis' Theorem arXiv Paper A. Iosevich et al. Jan 23 014 Incremental Generation is Necessary and Sufficient for Universality in Flow-Based Modelling arXiv Paper Hossein Rouhvarzi et al. Nov 13, 2025 015 Mathematical exploration and discovery at scale arXiv Paper Bogdan Georgiev et al. Nov 3, 2025 016 Critical attention scaling in long-context transformers arXiv Paper Shi Chen et al. Oct 7, 2025 017 A note on Cybenko's Universal Approximation Theorem arXiv Paper Kun Wang Aug 26, 2025 018 Fast Convergence for High-Order ODE Solvers in Diffusion Probabilistic Models arXiv Paper Daniel Zhengyu Huang et al. Jun 16, 2025 019 Provable wavelet-based neural approximation arXiv Paper Youngmi Hur, Hyojae Lim et al. Apr 23, 2025 020 Optimal Scheduling of Dynamic Transport arXiv Paper Panos Tsimpos et al. Apr 19, 2025 021 Limits of Discrete Energy of Families of Increasing Sets arXiv Paper Hari Sarang Nathan Apr 15, 2025 022 Numerical and statistical analysis of NeuralODE with Runge-Kutta time integration arXiv Paper Emily C. Ehrhardt et al. Mar 13, 2025 023 Bi-Lipschitz Ansatz for Anti-Symmetric Functions arXiv Paper Nadav Dym et al. Mar 6, 2025 024 On the kernel learning problem arXiv Paper Yang Li, Feng Ruan Feb 17, 2025 025 Reconstruction of frequency-localized functions from pointwise samples via least squares and deep learning arXiv Paper A. M. Neuman, Andrés Felipe et al. Feb 13, 2025 026 Poincaré Inequality for Local Log-Polyak-Lojasiewicz Measures : Non-asymptotic Analysis in Low-temperature Regime arXiv Paper Yun Gong et al. Feb 8, 2025 027 Distribution learning via neural differential equations: minimal energy regularization and approximation theory arXiv Paper Youssef Marzouk et al. Feb 6, 2025 028 Signature Reconstruction from Randomized Signatures arXiv Paper Mie Glückstad et al. Feb 5, 2025 029 The common ground of DAE approaches. An overview of diverse DAE frameworks emphasizing their commonalities arXiv Paper Diana Estévez Schwarz et al. Dec 20, 2024 030 Attraction-Repulsion Swarming: A Generalized Framework of t-SNE via Force Normalization and Tunable Interactions arXiv Paper Jingcheng Lu et al. Nov 15, 2024 031 Near-Optimal and Tractable Estimation under Shift-Invariance arXiv Paper Dmitrii M. Ostrovskii Nov 5, 2024 032 Universal approximation results for neural networks with non-polynomial activation function over non-compact domains arXiv Paper Ariel Neufeld, Philipp Schmocker Oct 18, 2024 033 Stochastic neighborhood embedding and the gradient flow of relative entropy arXiv Paper Ben Weinkove Sep 25, 2024 034 Convergence Analysis of Probability Flow ODE for Score-based Generative Models arXiv Paper D. Huang, Jiaoyang Huang et al. Apr 15, 2024 035 Structure of universal formulas arXiv Paper Dmitry Yarotsky Nov 7, 2023 036 A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces arXiv Paper Jonathan W. Siegel et al. Oct 26, 2023 037 Distribution learning via neural differential equations: a nonparametric statistical perspective arXiv Paper Youssef Marzouk, Zhi Ren et al. Sep 3, 2023 038 Mercer Large-Scale Kernel Machines from Ridge Function Perspective arXiv Paper Karol Dziedziul, Sergey Kryzhevich et al. Jul 21, 2023 039 On the Expressive Power of Neural Networks arXiv Paper Jan Holstermann May 31, 2023 040 Orthogonal polynomial approximation and Extended Dynamic Mode Decomposition in chaos arXiv Paper Caroline L. Wormell May 14, 2023 041 A structural characterization of Compactly Supported OEP-based balanced dual multiframelets arXiv Paper Ran Lu Apr 3, 2023 042 Phase-shifted Adversarial Training arXiv Paper Yeachan Kim, Seongyeon Kim et al. Jan 12, 2023 043 Fast expansion into harmonics on the disk: a steerable basis with fast radial convolutions arXiv Paper Nicholas F. Marshall et al. Jul 27, 2022 044 Signature Methods in Machine Learning arXiv Paper Terry Lyons, Andrew McLeod Jun 29, 2022 045 Orthonormal Expansions for Translation-Invariant Kernels arXiv Paper Filip Tronarp et al. Jun 17, 2022 046 On the balance between the training time and interpretability of neural ODE for time series modelling arXiv Paper Yakov Golovanev et al. Jun 7, 2022 047 An optimal scheduled learning rate for a randomized Kaczmarz algorithm arXiv Paper Nicholas F. Marshall, Oscar Mickelin Feb 24, 2022 048 Clustering by Hill-Climbing: Consistency Results arXiv Paper Ery Arias-Castro, Wanli Qiao Feb 18, 2022 049 Algebraic function based Banach space valued ordinary and fractional neural network approximations arXiv Paper George A. Anastassiou Feb 11, 2022 050 Approximation error of single hidden layer neural networks with fixed weights arXiv Paper Vugar E. Ismailov Feb 7, 2022 051 On Neural Differential Equations arXiv Paper Patrick Kidger Feb 4, 2022 052 Stability of Deep Neural Networks via discrete rough paths arXiv Paper Christian Bayer, P. Friz et al. Jan 19, 2022 053 A note on averaging prediction accuracy, Green's functions and other kernels arXiv Paper J. Galvis et al. Nov 15, 2021 054 Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks arXiv Paper Annan Yu, Chloé Becquey et al. Sep 23, 2021 055 Iterated Vector Fields and Conservatism, with Applications to Federated Learning arXiv Paper Zachary Charles, Keith Rush Sep 8, 2021 056 On Integral Theorems and their Statistical Properties arXiv Paper Nhat Ho et al. Jul 22, 2021 057 On the Whitney near extension problem, BMO, alignment of data, best approximation in algebraic geometry, manifold learning and their beautiful connections: A modern treatment arXiv Paper Steven B. Damelin Mar 17, 2021 058 On $L^q$ Convergence of the Hamiltonian Monte Carlo arXiv Paper Soumyadip Ghosh et al. Jan 21, 2021 059 Deep Reinforcement Learning with Function Properties in Mean Reversion Strategies arXiv Paper Sophia Gu Jan 9, 2021 060 Universal Approximation Properties for an ODENet and a ResNet: Mathematical Analysis and Numerical Experiments arXiv Paper Yuto Aizawa, Masato Kimura Dec 22, 2020