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Deep learning-based models have demonstrated remarkable success in solving illposed inverse problems; however, many fail to strictly adhere to the physical constraints imposed by the measurement process. In this work, we introduce a…

机器学习 · 计算机科学 2025-05-22 Jorge Bacca

We study reinforcement learning (RL) in the setting of continuous time and space, for an infinite horizon with a discounted objective and the underlying dynamics driven by a stochastic differential equation. Built upon recent advances in…

机器学习 · 计算机科学 2023-10-19 Hanyang Zhao , Wenpin Tang , David D. Yao

A stochastic second-order trust region method is proposed, which can be viewed as a second-order extension of the trust-region-ish (TRish) algorithm proposed by Curtis et al. (INFORMS J. Optim. 1(3) 200-220, 2019). In each iteration, a…

最优化与控制 · 数学 2019-11-19 Frank E. Curtis , Rui Shi

Many real-world sequential decision making problems are partially observable by nature, and the environment model is typically unknown. Consequently, there is great need for reinforcement learning methods that can tackle such problems given…

机器学习 · 计算机科学 2018-06-08 Maximilian Igl , Luisa Zintgraf , Tuan Anh Le , Frank Wood , Shimon Whiteson

Skilled robot task learning is best implemented by predictive action policies due to the inherent latency of sensorimotor processes. However, training such predictive policies is challenging as it involves finding a trajectory of motor…

机器人学 · 计算机科学 2017-03-03 Ali Ghadirzadeh , Atsuto Maki , Danica Kragic , Mårten Björkman

We address the problem of learning hierarchical deep neural network policies for reinforcement learning. In contrast to methods that explicitly restrict or cripple lower layers of a hierarchy to force them to use higher-level modulating…

机器学习 · 计算机科学 2018-09-05 Tuomas Haarnoja , Kristian Hartikainen , Pieter Abbeel , Sergey Levine

Update formulas for the Hessian approximations in quasi-Newton methods such as BFGS can be derived as analytical solutions to certain nearest-matrix problems. In this article, we propose a similar idea for deriving new limited memory…

最优化与控制 · 数学 2024-03-06 Erik Berglund , Mikael Johansson

Due to the rapid growth of data and computational resources, distributed optimization has become an active research area in recent years. While first-order methods seem to dominate the field, second-order methods are nevertheless attractive…

机器学习 · 计算机科学 2018-06-21 Celestine Dünner , Aurelien Lucchi , Matilde Gargiani , An Bian , Thomas Hofmann , Martin Jaggi

In this note, we present a derivative-free trust-region (TR) algorithm for reliability based optimization (RBO) problems. The proposed algorithm consists of solving a set of subproblems, in which simple surrogate models of the reliability…

统计计算 · 统计学 2016-10-04 Tian Gao , Jinglai Li

Data-driven deep learning has been successfully applied to various computed tomographic reconstruction problems. The deep inference models may outperform existing analytical and iterative algorithms, especially in ill-posed CT…

机器学习 · 计算机科学 2023-07-13 Hyojin Kim , Kyle Champley

Many large-scale optimization problems arising in science and engineering are naturally defined at multiple levels of discretization or model fidelity. Multilevel methods exploit this hierarchy to accelerate convergence by combining coarse-…

最优化与控制 · 数学 2025-12-02 Robert Baraldi , Michael Hintermüller , Qi Wang

Recent studies on transfer learning have shown that selectively fine-tuning a subset of layers or customizing different learning rates for each layer can greatly improve robustness to out-of-distribution (OOD) data and retain generalization…

计算机视觉与模式识别 · 计算机科学 2023-03-29 Junjiao Tian , Xiaoliang Dai , Chih-Yao Ma , Zecheng He , Yen-Cheng Liu , Zsolt Kira

Optimization with matrix gradient orthogonalization has recently demonstrated impressive results in the training of deep neural networks (Jordan et al., 2024; Liu et al., 2025). In this paper, we provide a theoretical analysis of this…

机器学习 · 计算机科学 2025-04-09 Dmitry Kovalev

Reinforcement Learning(RL) with sparse rewards is a major challenge. We propose \emph{Hindsight Trust Region Policy Optimization}(HTRPO), a new RL algorithm that extends the highly successful TRPO algorithm with \emph{hindsight} to tackle…

机器学习 · 计算机科学 2021-05-18 Hanbo Zhang , Site Bai , Xuguang Lan , David Hsu , Nanning Zheng

Intermediate features at different layers of a deep neural network are known to be discriminative for visual patterns of different complexities. However, most existing works ignore such cross-layer heterogeneities when classifying samples…

计算机视觉与模式识别 · 计算机科学 2016-07-20 Xiaojie Jin , Yunpeng Chen , Jian Dong , Jiashi Feng , Shuicheng Yan

Modern machine learning, especially the training of deep neural networks, depends on solving large-scale, highly nonconvex optimization problems, whose objective function exhibit a rough landscape. Motivated by the success of parallel…

数值分析 · 数学 2025-12-17 Samuel Cruz Alegría , Bindi Çapriqi , Shega Likaj , Ken Trotti , Rolf Krause

We develop and analyze a method for stochastic simulation optimization based on Gaussian process models within a trust-region framework. We focus on settings where the variance of the objective function is large, making accurate estimation…

最优化与控制 · 数学 2026-03-10 Mickael Binois , Jeffrey Larson

On-policy reinforcement learning methods, like Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO), often demand extensive data per update, leading to sample inefficiency. This paper introduces Reflective Policy…

机器学习 · 计算机科学 2024-06-07 Yaozhong Gan , Renye Yan , Zhe Wu , Junliang Xing

This paper proposes a differentiable robust LQR layer for reinforcement learning and imitation learning under model uncertainty and stochastic dynamics. The robust LQR layer can exploit the advantages of robust optimal control and…

机器人学 · 计算机科学 2021-06-11 Ngo Anh Vien , Gerhard Neumann

Recently, several studies proposed methods to utilize some classes of optimization problems in designing deep neural networks to encode constraints that conventional layers cannot capture. However, these methods are still in their infancy…

机器学习 · 计算机科学 2020-06-16 Younghan Jeon , Minsik Lee , Jin Young Choi