001 Graph Neural Multilevel Preconditioners for Iterative Solvers arXiv Paper Zechen Zhang et al. Yesterday 002 Learning features from Newton's algorithm: a way to accelerate nonlinear parametrized PDE solvers arXiv Paper Rémy Vallot et al. Yesterday 003 Windowed thinning and query complexity for the bouncy particle and Zigzag samplers arXiv Paper Jianfeng Lu et al. Yesterday 004 Comparison of a Parametric Physics-Informed Neural Network and a Tensorial Reduced-Order Model for the Shallow-Water Dam-Break Problem arXiv Paper A. Myshak, M. Mizan et al. 2 days ago 005 From Classification to Regression: Using a Fruitfly to Solve Equations arXiv Paper Shady E. Ahmed, Panos Stinis 2 days ago 006 A Physics-Informed Neural Operator for Thermal Ranking of Low-Cost Wall Materials in Hot-Dry Climates arXiv Paper Muhammad Akbar Khan, Fahim Raees et al. 3 days ago 007 A Riemannian View on Active Subspaces arXiv Paper Zachary J. Grey 3 days ago 008 Automated Numerical Stability Analysis of Deep Learning Operators arXiv Paper Xinye Chen 3 days ago 009 Denoising growth complexity: Data geometry and certified schedules for diffusion sampling arXiv Paper Martin J. Wainwright 3 days ago 010 Quasi-SVD: Learning a Lie-constrained matrix factorisation for real-time imaging arXiv Paper Christopher Hahne 3 days ago 011 Global Convergence of DGM and PINN Algorithms for Solving Nonlinear PDEs arXiv Paper Justin A. Sirignano, Konstantinos Spiliopoulos et al. 4 days ago 012 Low-Rank Dependence Decomposition via Accelerated Symmetric Non-negative Matrix Factorization arXiv Paper Lavinia Ghita, Dhruv Desai et al. 4 days ago 013 Perturbative-NeuSA: A Structured Spectral Framework for Time-Dependent PDEs arXiv Paper Xian Zhu, Jiale Yin 4 days ago 014 Score-Based Stabilization for Time-Dependent Problems arXiv Paper Eshed Gal, Eldad Haber et al. 4 days ago 015 GNN-based Multi-Agent Control of Traffic Shockwaves in Sparse Vehicular Ad-hoc Networks arXiv Paper Prachi Nandi, Madhuri Malakar et al. 5 days ago 016 Neural Network Learning of One-Bit Protocols for Qubit Measurement Simulation arXiv Paper Josep Escrig, Mani Zartab et al. 5 days ago 017 No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study arXiv Paper Georg Winkler, Martin Stoll 5 days ago 018 Data-Driven Diffusion Processes on Differential Forms via the Projected Ambient Connection Laplacian arXiv Paper Alvaro Almeida Gomez, Jorge Duque Franco 6 days ago 019 Learning Asymptotics with Convergence-Rate Guarantees using Linear Least Squares arXiv Paper C. Efrem 6 days ago 020 Closed-Loop Generative Selection: Convergence, Memory, and Noisy Oracles arXiv Paper K. Fackeldey, Christof Schütte 7 days ago 021 Convergence analysis of a family of Zermelo-type iterations for the Bradley--Terry model arXiv Paper Ruijian Han, Ding Lu et al. 7 days ago 022 Remedying Coarsening-Based GNN Training under Heterophily via Adaptive Complementary Enhancement arXiv Paper Mohammadreza Narimani, Vikram Anand et al. 7 days ago 023 Singular value soft-thresholding via the polar decomposition arXiv Paper Stephen Becker 7 days ago 024 A Structure-Adaptive Random Feature Method for High-Dimensional Elliptic PDEs arXiv Paper Jiale Linghu, Hao Dong et al. Jul 22 025 Hard Guarantees at a Measured Price: Entropy-Stable Learned Finite Volumes for Compressible Flow arXiv Paper D. Gueyffier Jul 22 026 PG-KINN: A Physics-Informed Petrov-Galerkin Kolmogorov-Arnold Network for Solving Forward and Inverse PDEs arXiv Paper Amirhossein Sadr, Nima Soltani et al. Jul 22 027 1-Lipschitz Neural Networks on Hadamard Manifolds arXiv Paper D. Murari, Marta Ghirardelli et al. Jul 21 028 A Splitting Architecture for Exact Reduced Coulomb Friction arXiv Paper Hong Song, Ye Fan et al. Jul 21 029 Boundary-Adapted PINNs for Elliptic Dirichlet Problems: $H^2(Ω)$ A Priori Error Bounds with Application to Mean Escape Time Computation arXiv Paper Nathanael Tepakbong, Jun Fan et al. Jul 21 030 Contraction-Gauge Preconditioning for Quantized Matrix Multiplication arXiv Paper Piyush Sao, N. Miniskar et al. Jul 21 031 Adaptive Mamba Neural Operators arXiv Paper Zeyuan Song, Zheyu Jiang Jul 20 032 FlowSonic: Stable Zero-Shot Music Editing via High-Order Trajectory Integration arXiv Paper ali boudaghi, Hadi Zare Jul 20 033 A Deep Second-Order Stochastic Residual Method for Fully Nonlinear Parabolic PDEs arXiv Paper Zhenhu Zhao, Jihao Long Jul 18 034 A zero-one law for one-shot system identification arXiv Paper N. Boullé, Diana Halikias et al. Jul 17 035 Cluster-Aware Matching via Laplacian Optimal Transport arXiv Paper Gabriel Samberg, Y. Hur et al. Jul 17 036 CoG-Guided Weight Correction for Fault-Tolerant Deep Neural Networks arXiv Paper Bahram Parchekani, Samira Nazari et al. Jul 17 037 Non-Asymptotic Variational Learning for Monotone Nonlinear Multiscale Elliptic Equations: Scale-Robust Primal-Dual Bounds and Strong-Form Statistical Ill-Conditioning arXiv Paper Ronald Katende Jul 17 038 Trainable Spline Representations for Physics-Informed Learning arXiv Paper Giovanni Canali, N. Demo et al. Jul 17 039 Fast and Scalable Caputo Fractional Gradient Descent via Perturbation-Preserving Memory Compression arXiv Paper Hwanseo Lee, Junseo Lee et al. Jul 16 040 Subgrid-Scale Parameterization in Burgers' Equation Using Structure-Preserving Neural Networks and Entropy Variables arXiv Paper A. Nazir, Ilya Timofeyev Jul 16 041 Tamed Stochastic Gradient Hamiltonian Monte Carlo arXiv Paper Zhuoran Wang, Ying Zhang Jul 16 042 Trajectory-Aware Flow Matching for Topology Optimisation arXiv Paper Shusheng Xiao, Jinshuai Bai et al. Jul 16 043 Accounting for Hysteresis and Eddy Currents in Finite Element Simulations of Ferromagnetic Laminated Cores using a Recurrent Neural Network arXiv Paper Florent Purnode, Louis Denis et al. Jul 15 044 Approximation of solutions of parameter-dependent problems by residual neural networks arXiv Paper Ana Carpio Jul 15 045 Microstructure-Conditioned Surrogate Models for Graded Multiscale Optimization of Mycelium Composites arXiv Paper J. Storm, I. Rocha et al. Jul 15 046 Operator-Informed Gaussian Processes for Complex Helmholtz Wavefields: From Synthetic Benchmarks to In Vivo Brain Elastography arXiv Paper Boyuan Deng, Kshitiz Upadhyay et al. Jul 15 047 Spectral-Informed Neural Networks Outperform Spectral Methods in High-dimensional PDEs arXiv Paper Tianchi Yu, I. Oseledets Jul 15 048 Deep Learning-based Surrogate Modelling of the LOD Method for Multiscale Problems arXiv Paper M. Haltmayer, J. Seo et al. Jul 14 049 Energy-Based Physics-Informed Form Finding for Clustered Tensegrity Structures arXiv Paper Jing Qin, Muhao Chen Jul 14 050 Ensemble Controlled-Flow Filtering for Implicit Data Assimilation arXiv Paper Zhuoyuan Li, Yue Zhao et al. Jul 14 051 Neural Discovery of Memory and Nonlocal Kernels in Integro-Differential Equations with Constrained Kolmogorov--Arnold Networks arXiv Paper Aruzhan Tleubek, Salah A. Faroughi Jul 13 052 Approximation of Analytic Functions by ReLU Neural Networks with Adjustable Depth and Width arXiv Paper Yanming Lai, Defeng Sun et al. Jul 12 053 Design Choices in Splitting-Based Self-Supervised Sparse-View CT Reconstruction arXiv Paper Nadja Gruber, Lukas Neumann et al. Jul 12 054 Hierarchical Bayesian Quadrature arXiv Paper Tim Weiland, Toni Karvonen et al. Jul 12 055 Projection-Domain Sensitivity Analysis of Vertebral DRRs Under Intrinsic Calibration Perturbation arXiv Paper Lin Li, Chaochao Zhou et al. Jul 12 056 The Singularity Space: A Generative Diffusion Framework for Signal Representation arXiv Paper Eli Bar-Yosef, Amir Averbuch et al. Jul 12 057 When is the combined load identifiable from a stress-intensity profile? A coupled forward-inverse study on SIFBench finite-element data arXiv Paper G. Cirrincione, Filippo Grassia Jul 12 058 A Hyperbolic Neural Closure for M1 Radiation Transfer arXiv Paper Bongseok Kim, Jiahao Zhang et al. Jul 11 059 Coupled Tensor-Matrix Recovery via Proximal Alternating Linearized Minimization, with an Application to Workforce Skill and Small-Business Health Estimation arXiv Paper A. Miranda Jul 11 060 The Differential Neural Tangent Kernel and Its Positivity arXiv Paper Bangti Jin, Longjun Wu Jul 11