Cover Image

Introduction to optimization methods for training SciML models

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kopaničáková, Alena, Riccietti, Elisa
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis Artificial Intelligence Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints
by: Kothari, Hardik, et al.
Published: (2022)

A multilevel stochastic regularized first-order method with application to finite sum minimization
by: Marini, Filippo, et al.
Published: (2024)

Frugality in second-order optimization: floating-point approximations for Newton's method
by: Carrino, Giuseppe, et al.
Published: (2025)

Properties of Fixed Points of Generalised Extra Gradient Methods Applied to Min-Max Problems
by: Farzin, Amir Ali, et al.
Published: (2025)

Practical Topics in Optimization
by: Lu, Jun
Published: (2025)

Regularized methods via cubic model subspace minimization for nonconvex optimization
by: Bellavia, Stefania, et al.
Published: (2023)

A direct optimization algorithm for input-constrained MPC
by: Wu, Liang, et al.
Published: (2023)

A second-order method landing on the Stiefel manifold via Newton$\unicode{x2013}$Schulz iteration
by: Xiong, Xinhui, et al.
Published: (2026)

Bioluminescence tomography via a shape optimization method based on a complex-valued model
by: Wu, Qianqian, et al.
Published: (2025)

Limited memory gradient methods for unconstrained optimization
by: Ferrandi, Giulia, et al.
Published: (2023)

An augmented Lagrangian trust-region method with inexact gradient evaluations to accelerate constrained optimization problems using model hyperreduction
by: Wen, Tianshu, et al.
Published: (2024)

Particle method for a nonlinear multimarginal optimal transport problem
by: Cances, Adrien, et al.
Published: (2026)

IETI-based Low-Rank method for PDE-constrained optimization
by: Bünger, Alexandra, et al.
Published: (2024)

Anderson-type acceleration method for Deep Neural Network optimization
by: Ito, Kazufumi, et al.
Published: (2025)

On a fixed-point continuation method for a convex optimization problem
by: Fest, Jean-Baptiste, et al.
Published: (2022)

Gauss-Southwell type descent methods for low-rank matrix optimization
by: Olikier, Guillaume, et al.
Published: (2023)

An accelerated gradient method with adaptive restart for convex multiobjective optimization problems
by: Luo, Hao, et al.
Published: (2025)

Non-overlapping Schwarz methods in time for parabolic optimal control problems
by: Gander, Martin Jakob, et al.
Published: (2024)

A robust and stable phase field method for structural topology optimization
by: Chen, Huangxin, et al.
Published: (2025)

Leveraging Operator Learning to Accelerate Convergence of the Preconditioned Conjugate Gradient Method
by: Kopaničáková, Alena, et al.
Published: (2025)

Weak Scalability of time parallel Schwarz methods for parabolic optimal control problems
by: Lu, Liu-Di, et al.
Published: (2026)

Reliable optimal controls for SEIR models in epidemiology
by: Cacace, Simone, et al.
Published: (2023)

A Riemannian rank-adaptive method for higher-order tensor completion in the tensor-train format
by: Vermeylen, Charlotte, et al.
Published: (2024)

Fast algorithms enabling optimization and deep learning for photoacoustic tomography in a circular detection geometry
by: Hauptmann, Andreas, et al.
Published: (2025)

SciML Agents: Write the Solver, Not the Solution
by: Gaonkar, Saarth, et al.
Published: (2025)

Augmented Lagrangian methods for infeasible convex optimization problems and diverging proximal-point algorithms
by: Andrews, Roland, et al.
Published: (2025)

Error estimates of $hp$-finite element method for elliptic optimal control problems with robin boundary
by: Lin, Xingyuan, et al.
Published: (2026)

An unfitted finite element method for PDE-constrained shape optimization via shape gradient flow
by: Gong, Wei, et al.
Published: (2026)

Damping optimization of discrete mechanical systems -- rod/string model
by: Truhar, Ninoslav, et al.
Published: (2025)

Numerical method for approximately optimal solutions of two-stage distributionally robust optimization with marginal constraints
by: Neufeld, Ariel, et al.
Published: (2022)

A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs
by: Meng, Tingwei, et al.
Published: (2024)

Two-level overlapping additive Schwarz preconditioner for training scientific machine learning applications
by: Lee, Youngkyu, et al.
Published: (2024)

A trust-region framework for optimization using Hermite kernel surrogate models
by: Ullmann, Sven, et al.
Published: (2025)

Transformers Can Implement Preconditioned Richardson Iteration for In-Context Gaussian Kernel Regression
by: Yan, Mingsong, et al.
Published: (2026)

PRISM: Distribution-free Adaptive Computation of Matrix Functions for Accelerating Neural Network Training
by: Yang, Shenghao, et al.
Published: (2026)

Muon is Not That Special: Random or Inverted Spectra Work Just as Well
by: Shumaylov, Zakhar, et al.
Published: (2026)

Parametrizing Convex Sets Using Sublinear Neural Networks
by: Martinet, Eloi
Published: (2026)

Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks
by: Jnini, Anas, et al.
Published: (2026)

Geometric Data Valuation via Leverage Scores
by: Mendoza-Smith, Rodrigo
Published: (2025)

Min-Max Optimisation for Nonconvex-Nonconcave Functions Using a Random Zeroth-Order Extragradient Algorithm
by: Farzin, Amir Ali, et al.
Published: (2025)