Functional Analysis

Adaptive Fourier Decomposition-guided Neural Operator Design for Inverse PDE Problems UAI 2026 Functional Mean Flow in Hilbert Space CVPR 2026 Koopman Operator for Stability Analysis: Theory with a Linear–Radial Product Reproducing Kernel L4DC 2026 Nonlocal Techniques for the Analysis of Deep ReLU Neural Network Approximations JMLR 2026 Spectral Truncation Kernels: Noncommutativity in C*-algebraic Kernel Machines JMLR 2026 Worst-case Error Bounds for Online Learning of Smooth Functions COLT 2026 Extending Mercer's expansion to indefinite and asymmetric kernels ICLR 2025 Towards Unified Native Spaces in Kernel Methods JMLR 2025 A Data-Adaptive RKHS Prior for Bayesian Learning of Kernels in Operators JMLR 2024 Contraction of Markovian Operators in Orlicz Spaces and Error Bounds for Markov Chain Monte Carlo (Extended Abstract) COLT 2024 Geometric Learning with Positively Decomposable Kernels JMLR 2024 Inverse M-Kernels for Linear Universal Approximators of Non-Negative Functions NeurIPS 2024 Optimal deep learning of holomorphic operators between Banach spaces NeurIPS 2024 Sparse Representer Theorems for Learning in Reproducing Kernel Banach Spaces JMLR 2024 Gradient Descent in Neural Networks as Sequential Learning in Reproducing Kernel Banach Space ICML 2023 Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces JMLR 2023 Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective ICML 2023 Kernel interpolation in Sobolev spaces is not consistent in low dimensions COLT 2022 Sobolev Norm Learning Rates for Conditional Mean Embeddings AISTATS 2022 A Data Driven, Convex Optimization Approach to Learning Koopman Operators L4DC 2021 Functions with average smoothness: structure, algorithms, and learning COLT 2021 On the Approximation Power of Two-Layer Networks of Random ReLUs COLT 2021 On Universal Approximation and Error Bounds for Fourier Neural Operators JMLR 2021 Ivanov-Regularised Least-Squares Estimators over Large RKHSs and Their Interpolation Spaces JMLR 2019 Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators NeurIPS 2018