Numerical analysis & scientific computing
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- A Framework Integrating the Dynamic Stiffness Matrix with Physics-Informed Neural Networks for Solving Eigenvalue Problems and Analysing Dynamic Response
- Two-level domain-decomposition AdaGrad method for scalable training of graph neural networks
- Approximation and composition of functions in quantized tensor trains via orthogonal polynomial expansions
- Generative modeling via hierarchical tensor sketching
- Convergence and acceleration of a nonlinear fixed-point iteration for computing the Fitness Centrality of general graphs
- Automated Numerical Stability Analysis of Deep Learning Operators
- The Augmented Lagrangian Methods: Overview and Recent Advances
- Finite-n Estimate of Dedekind Numbers by Layer-Ratio Monte Carlo
- Fast Randomized Entropically Regularized Semidefinite Programming
- Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA
- Regularized dynamical parametric approximation
- Approximation of solutions of parameter-dependent problems by residual neural networks
- First-Order Optimality Conditions for Non-Commutative Optimization Problems
- Fix-and-propagate heuristics using low-precision first-order LP solutions for large-scale mixed-integer linear optimization
- A highly efficient iterative approach for inverse acoustic obstacle scattering problems in three dimensions
- Identifiability of points and rigidity of hypergraphs under algebraic constraints
- Implementation of Hyperelastic Physics-Augmented Neural Networks in the Explicit Finite Element Codes Simcenter Radioss and OpenRadioss with Applications to Impact Events
- A neural delta-f particle-in-cell method: evolving the background with learned backward flows
- Hypocoercivity-preserving space-time Galerkin methods for kinetic Fokker-Planck equations
- Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
- \chisao{}: A GPU-Native Parallel Optimizer for Multimodal Black-Box Functions via Convergence-Anticonvergence Oscillation
- The Effect of Quadrature on the Convergence of Policy Iteration for Hamilton-Jacobi-Bellman Equations
- INI-VPINN: A Variational Physics-Informed Neural Network with Implicit Neumann and Interface Handling for Multi-Material Domains with Geometric Singularities
- Average Energy Dissipation Rates of Implicit-Explicit Runge-Kutta Methods for Gradient Flow Problems
- Tracking in-silico Lagrangian sensors in a lab-scale stirred tank reactor