Zobrazeno 1 - 10
of 91 159
pro vyhledávání: '"Mathematics - Optimization and Control"'
Training deep neural networks--and more recently, large models--demands efficient and scalable optimizers. Adaptive gradient algorithms like Adam, AdamW, and their variants have been central to this task. Despite the development of numerous variance
Externí odkaz:
http://arxiv.org/abs/2411.10438
In this paper, we propose algorithms that exploit negative curvature for solving noisy nonlinear nonconvex unconstrained optimization problems. We consider both deterministic and stochastic inexact settings, and develop two-step algorithms that combi
Externí odkaz:
http://arxiv.org/abs/2411.10378
In this paper, we provide a tutorial overview and an extension of a recently developed framework for data-driven control of unknown nonlinear systems with rigorous closed-loop guarantees. The proposed approach relies on the Koopman operator represent
Externí odkaz:
http://arxiv.org/abs/2411.10359
We consider an assortment optimization problem under the multinomial logit choice model with general covering constraints. In this problem, the seller offers an assortment that should contain a minimum number of products from multiple categories. We
Externí odkaz:
http://arxiv.org/abs/2411.10310
Autor:
Barbu, Viorel
The mean-field game system is treated as an Euler Lagrange system corresponding to an optimal control problem governed by Fokker-Planck equation.
Externí odkaz:
http://arxiv.org/abs/2411.10301
In this work, we propose novel offline and online Inverse Differential Game (IDG) methods for nonlinear Differential Games (DG), which identify the cost functions of all players from control and state trajectories constituting a feedback Nash equilib
Externí odkaz:
http://arxiv.org/abs/2411.10297
Autor:
Huang, Hui, Kouhkouh, Hicham
Publikováno v:
Published in the journal: Applied Mathematics Letters, 2024, p. 109372
A self-interacting dynamics that mimics the standard Consensus-Based Optimization (CBO) model is introduced. This single-particle dynamics is shown to converge to a unique invariant measure that approximates the global minimum of a given function. As
Externí odkaz:
http://arxiv.org/abs/2411.10295
The aim of this work is to analyse a shape optimization problem in a mechanical friction context. Precisely we perform a shape sensitivity analysis of a Tresca friction problem, that is, a boundary value problem involving the usual linear elasticity
Externí odkaz:
http://arxiv.org/abs/2411.10158
Quantum Approximate Optimization Algorithm (QAOA) is one of the most short-term promising quantum-classical algorithm to solve unconstrained combinatorial optimization problems. It alternates between the execution of a parametrized quantum circuit an
Externí odkaz:
http://arxiv.org/abs/2411.10062
We study the effect of the streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method on the discretization of optimal control problems governed by linear advection-diffusion equations. We compare two approaches for the numerical solut
Externí odkaz:
http://arxiv.org/abs/2411.09828