approximation theory

HyRNN: Hybrid Recurrent Neural Networks for Approximating Hybrid Dynamical Systems AAAI 2026 Memorization and Expressivity in Transformers: A Learning-Theoretic Perspective AAAI 2026 DRM Revisited: A Complete Error Analysis JMLR 2025 Finite Expression Method for Solving High-Dimensional Partial Differential Equations JMLR 2025 Higher-Order Graphon Neural Networks: Approximation and Cut Distance ICLR 2025 Nonlinear functional regression by functional deep neural network with kernel embedding JMLR 2025 On the expressiveness and spectral bias of KANs ICLR 2025 Operator Learning for Hyperbolic PDEs JMLR 2025 Optimal Control Operator Perspective and a Neural Adaptive Spectral Method AAAI 2025 Polynomial Composition Activations: Unleashing the Dynamics of Large Language Models ICLR 2025 Posterior Concentrations of Fully-Connected Bayesian Neural Networks with General Priors on the Weights JMLR 2025 Rethinking Neural-based Matrix Inversion: Why can’t, and Where can AISTATS 2025 Stable learning using spiking neural networks equipped with affine encoders and decoders JMLR 2025 Towards Understanding the Universality of Transformers for Next-Token Prediction ICLR 2025 Understanding Multi-layered Transmission Matrices CVPR 2025 Deep Network Approximation: Beyond ReLU to Diverse Activation Functions JMLR 2024 Grounding and Enhancing Grid-based Models for Neural Fields CVPR 2024 Inverse Approximation Theory for Nonlinear Recurrent Neural Networks ICLR 2024 Minimum width for universal approximation using ReLU networks on compact domain ICLR 2024 Multi-layer random features and the approximation power of neural networks UAI 2024 One Sample Fits All: Approximating All Probabilistic Values Simultaneously and Efficiently NeurIPS 2024 On the Generalization and Approximation Capacities of Neural Controlled Differential Equations ICLR 2024 Selective Explanations NeurIPS 2024 Understanding Scaling Laws with Statistical and Approximation Theory for Transformer Neural Networks on Intrinsically Low-dimensional Data NeurIPS 2024 Understanding the difficulty of solving Cauchy problems with PINNs L4DC 2024