Numerical Analysis

On the Approximation of Kernel functions JMLR 2025 Operator Learning for Hyperbolic PDEs JMLR 2025 Optimal Stochastic Trace Estimation in Generative Modeling AISTATS 2025 Precise Integral in NeRFs: Overcoming the Approximation Errors of Numerical Quadrature WACV 2025 Preconditioners for the Stochastic Training of Neural Fields CVPR 2025 Predictive Monitoring of Black-Box Dynamical Systems L4DC 2025 Randomized Iterative Solver as Iterative Refinement: A Simple Fix Towards Backward Stability AISTATS 2025 Reduced-rank Factorized Fourier Neural Operator ACML 2025 Alias-Free Mamba Neural Operator NeurIPS 2024 An operator preconditioning perspective on training in physics-informed machine learning ICLR 2024 A PDE-based Explanation of Extreme Numerical Sensitivities and Edge of Stability in Training Neural Networks JMLR 2024 A projected semismooth Newton method for a class of nonconvex composite programs with strong prox-regularity JMLR 2024 AROMA: Preserving Spatial Structure for Latent PDE Modeling with Local Neural Fields NeurIPS 2024 A Statistical Experimental Design Method for Constructing Deterministic Sensing Matrices for Compressed Sensing JMLR 2024 Asynchronous Randomized Trace Estimation AISTATS 2024 Complexity of Neural Network Training and ETR: Extensions with Effectively Continuous Functions AAAI 2024 Conditional Bayesian Quadrature UAI 2024 Correction to "Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations" JMLR 2024 Distributed Least Squares in Small Space via Sketching and Bias Reduction NeurIPS 2024 Efficient Learning of PDEs via Taylor Expansion and Sparse Decomposition into Value and Fourier Domains AAAI 2024 Efficient Leverage Score Sampling for Tensor Train Decomposition NeurIPS 2024 Fast and Accurate Estimation of Low-Rank Matrices from Noisy Measurements via Preconditioned Non-Convex Gradient Descent AISTATS 2024 Fast Fourier Bayesian Quadrature AISTATS 2024 Generalized Tensor Decomposition for Understanding Multi-Output Regression under Combinatorial Shifts NeurIPS 2024 Gradients of Functions of Large Matrices NeurIPS 2024