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Markov Decision Processes (MDPs) are a formal framework for modeling and solving sequential decision-making problems. In finite-time horizons such problems are relevant for instance for optimal stopping or specific supply chain problems,…

最优化与控制 · 数学 2024-05-07 Sara Klein , Simon Weissmann , Leif Döring

We study reinforcement learning by combining recent advances in regularized linear programming formulations with the classical theory of stochastic approximation. Motivated by the challenge of designing algorithms that leverage off-policy…

最优化与控制 · 数学 2026-04-15 Axel Friedrich Wolter , Tobias Sutter

Human motion prediction is important for mobile service robots and intelligent vehicles to operate safely and smoothly around people. The more accurate predictions are, particularly over extended periods of time, the better a system can,…

Currently, usual approaches for fast robot control are largely reliant on solving online optimal control problems. Such methods are known to be computationally intensive and sensitive to model accuracy. On the other hand, animals plan…

机器人学 · 计算机科学 2020-06-24 Guilherme Maeda , Okan Koc , Jun Morimoto

Using convex combination and linesearch techniques, we introduce a novel primal-dual algorithm for solving structured convex-concave saddle point problems with a generic smooth nonbilinear coupling term. Our adaptive linesearch strategy…

最优化与控制 · 数学 2024-01-17 Xiaokai Chang , Junfeng Yang , Hongchao Zhang

The Alternating Direction Method of Multipliers (ADMM) is a widely used method for structured convex optimization, and its practical performance depends strongly on the choice of penalty and relaxation parameters. Motivated by settings such…

最优化与控制 · 数学 2026-04-30 Junan Lin , Paul J. Goulart , Luca Furieri

This paper explores a new framework for reinforcement learning based on online convex optimization, in particular mirror descent and related algorithms. Mirror descent can be viewed as an enhanced gradient method, particularly suited to…

机器学习 · 计算机科学 2012-10-19 Sridhar Mahadevan , Bo Liu

We study algorithms for online change-point detection (OCPD), where samples that are potentially heavy-tailed, are presented one at a time and a change in the underlying mean must be detected as early as possible. We present an algorithm…

机器学习 · 统计学 2023-07-04 Abishek Sankararaman , Balakrishnan , Narayanaswamy

This work explores the relationship between state space methods and Koopman operator-based methods for predicting the time-evolution of nonlinear dynamical systems. We demonstrate that extended dynamic mode decomposition with dictionary…

混沌动力学 · 物理学 2025-03-17 Jake Buzhardt , C. Ricardo Constante-Amores , Michael D. Graham

Physics-based motion imitation is central to humanoid control, yet current evaluation metrics (e.g., joint position error) only measure how well a policy imitates but not how difficult the motion itself is. This conflates policy performance…

图形学 · 计算机科学 2025-12-09 Zhaorui Meng , Lu Yin , Xinrui Chen , Anjun Chen , Shihui Guo , Yipeng Qin

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

机器学习 · 计算机科学 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

Sample efficiency is critical in solving real-world reinforcement learning problems, where agent-environment interactions can be costly. Imitation learning from expert advice has proved to be an effective strategy for reducing the number of…

机器学习 · 计算机科学 2018-10-16 Ching-An Cheng , Xinyan Yan , Evangelos A. Theodorou , Byron Boots

We develop a first-order accelerated algorithm for a class of constrained bilinear saddle-point problems with applications to network systems. The algorithm is a modified time-varying primal-dual version of an accelerated mirror-descent…

最优化与控制 · 数学 2024-10-04 Weijian Li , Xianlin Zeng , Lacra Pavel

Accurate prediction of future trajectories of traffic agents is essential for ensuring safe autonomous driving. However, partially observed trajectories can significantly degrade the performance of even state-of-the-art models. Previous…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Peng Shu , Pengfei Zhu , Mengshi Qi , Liang Liu

We study generative modeling on convex domains using flow matching and mirror maps, and identify two fundamental challenges. First, standard log-barrier mirror maps induce heavy-tailed dual distributions, leading to ill-posed dynamics.…

机器学习 · 统计学 2025-10-13 Yunrui Guan , Krishnakumar Balasubramanian , Shiqian Ma

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

应用统计 · 统计学 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

The stochastic mirror descent (SMD) algorithm is a general class of training algorithms, which includes the celebrated stochastic gradient descent (SGD), as a special case. It utilizes a mirror potential to influence the implicit bias of…

机器学习 · 计算机科学 2022-10-28 Taylan Kargin , Fariborz Salehi , Babak Hassibi

We study episodic reinforcement learning (RL) in non-stationary linear kernel Markov decision processes (MDPs). In this setting, both the reward function and the transition kernel are linear with respect to the given feature maps and are…

机器学习 · 计算机科学 2024-12-24 Han Zhong , Zhongren Chen , Zhuoran Yang , Zhaoran Wang , Csaba Szepesvári

Policy Mirror Descent (PMD) is a general family of algorithms that covers a wide range of novel and fundamental methods in reinforcement learning. Motivated by the instability of policy iteration (PI) with inexact policy evaluation, PMD…

最优化与控制 · 数学 2023-11-23 Emmeran Johnson , Ciara Pike-Burke , Patrick Rebeschini

As the development of cities, traffic congestion becomes an increasingly pressing issue, and traffic prediction is a classic method to relieve that issue. Traffic prediction is one specific application of spatio-temporal prediction…

机器学习 · 计算机科学 2023-11-01 Maoxiang Sun , Weilong Ding , Tianpu Zhang , Zijian Liu , Mengda Xing
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