English
Related papers

Related papers: A Reusable Library for Second-Order Orbital Optimi…

200 papers

Offline reinforcement learning suffers from the out-of-distribution issue and extrapolation error. Most policy constraint methods regularize the density of the trained policy towards the behavior policy, which is too restrictive in most…

Machine Learning · Computer Science 2023-11-16 Yixiu Mao , Hongchang Zhang , Chen Chen , Yi Xu , Xiangyang Ji

Trust region methods are a popular tool in reinforcement learning as they yield robust policy updates in continuous and discrete action spaces. However, enforcing such trust regions in deep reinforcement learning is difficult. Hence, many…

Machine Learning · Computer Science 2021-03-10 Fabian Otto , Philipp Becker , Ngo Anh Vien , Hanna Carolin Ziesche , Gerhard Neumann

In this paper, a new alternating direction trust region method based on conic model is used to solve unconstrained optimization problems. By use of the alternating direction method, the new conic model trust region subproblem is solved by…

Optimization and Control · Mathematics 2018-12-06 Honglan Zhu , Qin Ni , Chuangyin Dang

In this paper, we study a few challenging theoretical and numerical issues on the well known trust region policy optimization for deep reinforcement learning. The goal is to find a policy that maximizes the total expected reward when the…

Optimization and Control · Mathematics 2019-11-27 Mingming Zhao , Yongfeng Li , Zaiwen Wen

Out-of-distribution (OOD) generalization is a challenging machine learning problem yet highly desirable in many high-stake applications. Existing methods suffer from overly pessimistic modeling with low generalization confidence. As…

Machine Learning · Computer Science 2024-06-10 Fengchun Qiao , Xi Peng

A method is proposed for solving equality constrained nonlinear optimization problems involving twice continuously differentiable functions. The method employs a trust funnel approach consisting of two phases: a first phase to locate an…

Numerical Analysis · Mathematics 2017-07-04 Frank E. Curtis , Daniel P. Robinson , Mohammadreza Samadi

We extend Robust Optimization to fractional programming, where both the objective and the constraints contain uncertain parameters. Earlier work did not consider uncertainty in both the objective and the constraints, or did not use Robust…

Optimization and Control · Mathematics 2015-08-21 Bram L. Gorissen

We target the problem of finding a local minimum in non-convex finite-sum minimization. Towards this goal, we first prove that the trust region method with inexact gradient and Hessian estimation can achieve a convergence rate of order…

Optimization and Control · Mathematics 2019-03-06 Zebang Shen , Pan Zhou , Cong Fang , Alejandro Ribeiro

An algorithm is proposed for solving stochastic and finite sum minimization problems. Based on a trust region methodology, the algorithm employs normalized steps, at least as long as the norms of the stochastic gradient estimates are within…

Optimization and Control · Mathematics 2018-06-27 Frank E. Curtis , Katya Scheinberg , Rui Shi

We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

Optimization and Control · Mathematics 2023-10-30 Donato Maragno , Holly Wiberg , Dimitris Bertsimas , S. Ilker Birbil , Dick den Hertog , Adejuyigbe Fajemisin

A novel derivative-free algorithm, optimization by moving ridge functions (OMoRF), for unconstrained and bound-constrained optimization is presented. This algorithm couples trust region methodologies with output-based dimension reduction to…

Optimization and Control · Mathematics 2021-01-07 James C. Gross , Geoffrey T. Parks

Quantum simulation promises to address many challenges in fields ranging from quantum chemistry to material science, and high-energy physics, and could be implemented in noisy intermediate-scale quantum devices. A challenge in building good…

Quantum Physics · Physics 2020-07-22 Yi-Xiang Liu , Jordan Hines , Zhi Li , Ashok Ajoy , Paola Cappellaro

We present a new framework for solving general topology optimization (TO) problems that find an optimal material distribution within a design space to maximize the performance of a structure while satisfying design constraints. These…

Numerical Analysis · Mathematics 2024-11-20 Zisheng Ye , Wenxiao Pan

In this paper a library for spin--angular integration in LS-coupling for many-electron atoms is presented. The software is an implementation of a methodology based on the second quantization in coupled tensorial form, the angular momentum…

Atomic Physics · Physics 2007-05-23 G. Gaigalas

This paper presents an optimization approach for generating custom manipulator configurations using a proposed unconventional modular library. An end-to-end solution is presented in which the resulting optimal models of the modular…

Robotics · Computer Science 2023-05-16 Anubhav Dogra , Srikant Sekhar Padhee , Ekta Singla

We develop a Trust Region method with Regularized Barzilai-Borwein step-size obtained in a previous paper for solving large-scale unconstrained optimization problems. Simultaneously, the non-monotone technique is combined to formulate an…

Optimization and Control · Mathematics 2024-09-24 Xin Xu , Congpei An

Riemannian optimization is concerned with problems, where the independent variable lies on a smooth manifold. There is a number of problems from numerical linear algebra that fall into this category, where the manifold is usually specified…

Numerical Analysis · Mathematics 2024-06-27 Rasmus Jensen , Ralf Zimmermann

We present a code modularization approach to design efficient and massively parallel cubic and linear-scaling solvers for electronic structure calculations using atomic orbitals. The modular implementation of the orbital minimization…

Materials Science · Physics 2023-04-27 Irina V. Lebedeva , Alberto Garcia , Emilio Artacho , Pablo Ordejon

The problem we consider is a multi-objective optimization problem, in which the goal is to find an optimal value of a vector function representing various criteria. The aim of this work is to develop an algorithm which utilizes the trust…

Optimization and Control · Mathematics 2026-05-15 Nataša Krejić , Nataša Krklec Jerinkić , Luka Rutešić