Showing 1–20 of 29 results
/ Date/ Name
Sep 1, 2021A Weight Initialization Based on the Linear Product Structure for Neural NetworksAug 7, 2025Deep Neural Networks with General Activations: Super-Convergence in Sobolev NormsDec 21, 2023Deep Neural Networks and Finite Elements of Any Order on Arbitrary DimensionsAug 10, 2023On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition TheoremSep 1, 2021Approximation Properties of Deep ReLU CNNsDec 14, 2021An Interpretive Constrained Linear Model for ResNet and MgNetFeb 2, 2023An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential EquationsFeb 2, 2023FV-MgNet: Fully Connected V-cycle MgNet for Interpretable Time Series ForecastingAug 28, 2025Self-Composing Neural Operators with Depth and Accuracy Scaling via Adaptive Train-and-Unroll ApproachMar 30, 2026Divergence-free Linearized Neural Networks: Integral Representation and Optimal Approximation RatesJul 11, 2018Make $\ell_1$ Regularization Effective in Training Sparse CNNJul 11, 2018ReLU Deep Neural Networks and Linear Finite ElementsOct 16, 2023MgNO: Efficient Parameterization of Linear Operators via MultigridMay 10, 2021ReLU Deep Neural Networks from the Hierarchical Basis PerspectiveFeb 25, 2021Power Series Expansion Neural NetworkNov 23, 2019Constrained Linear Data-feature Mapping for Image ClassificationMar 1, 2022Side Effects of Learning from Low-dimensional Data Embedded in a Euclidean SpaceDec 27, 2023Expressivity and Approximation Properties of Deep Neural Networks with ReLU$^k$ ActivationJan 29, 2019MgNet: A Unified Framework of Multigrid and Convolutional Neural NetworkJan 31, 2024Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss