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Consider a Markov decision process (MDP) that admits a set of state-action features, which can linearly express the process's probabilistic transition model. We propose a parametric Q-learning algorithm that finds an approximate-optimal…

机器学习 · 计算机科学 2019-06-07 Lin F. Yang , Mengdi Wang

Empirical risk minimization, a cornerstone in machine learning, is often hindered by the Optimizer's Curse stemming from discrepancies between the empirical and true data-generating distributions.To address this challenge, the robust…

机器学习 · 计算机科学 2024-08-20 Haojie Yan , Minglong Zhou , Jiayi Guo

The Markov decision process is the mathematical formalization underlying the modern field of reinforcement learning when transition and reward functions are unknown. We derive a pseudo-Boolean cost function that is equivalent to a K-spin…

量子物理 · 物理学 2020-04-14 Eric B. Jones , Peter Graf , Eliot Kapit , Wesley Jones

Particle-based methods include a variety of techniques, such as Markov Chain Monte Carlo (MCMC) and Sequential Monte Carlo (SMC), for approximating a probabilistic target distribution with a set of weighted particles. In this paper, we…

机器学习 · 统计学 2024-12-03 Hadi Mohasel Afshar , Gilad Francis , Sally Cripps

We provide performance guarantees for a variant of simulation-based policy iteration for controlling Markov decision processes that involves the use of stochastic approximation algorithms along with state-of-the-art techniques that are…

机器学习 · 计算机科学 2022-10-17 Anna Winnicki , R. Srikant

This paper studies a discrete-time stochastic control problem with linear quadratic criteria over an infinite-time horizon. We focus on a class of control systems whose system matrices are associated with random parameters involving unknown…

最优化与控制 · 数学 2022-01-17 Zhaorong Zhang , Juanjuan Xu , Xun Li

Edge Computing (EC) offers a superior user experience by positioning cloud resources in close proximity to end users. The challenge of allocating edge resources efficiently while maximizing profit for the EC platform remains a sophisticated…

机器学习 · 计算机科学 2023-02-15 Jiaming Cheng , Duong Thuy Anh Nguyen , Lele Wang , Duong Tung Nguyen , Vijay K. Bhargava

Continuous-time stochastic processes underlie many natural and engineered systems. In healthcare, autonomous driving, and industrial control, direct interaction with the environment is often unsafe or impractical, motivating offline…

机器学习 · 统计学 2025-11-14 Nicolas Hoischen , Petar Bevanda , Max Beier , Stefan Sosnowski , Boris Houska , Sandra Hirche

In this paper, we consider the adaptive linear quadratic Gaussian control problem, where both the linear transformation matrix of the state $A$ and the control gain matrix $B$ are unknown. The proposed adaptive optimal control only assumes…

最优化与控制 · 数学 2024-09-17 Nian Liu , Cheng Zhao , Shaolin Tan , Jinhu Lü

\emph{Kullback-Leibler} (KL) regularization is ubiquitous in reinforcement learning algorithms in the form of \emph{reverse} or \emph{forward} KL. Recent studies have demonstrated $\epsilon^{-1}$-type fast rates for decision making under…

机器学习 · 计算机科学 2026-05-12 Qingyue Zhao , Kaixuan Ji , Heyang Zhao , Quanquan Gu

The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in engineering, biology and finance. In this paper, a stochastic…

最优化与控制 · 数学 2023-04-06 Caroline Geiersbach , Teresa Scarinci

A brain computer interface (BCI) is a system which provides direct communication between the mind of a person and the outside world by using only brain activity (EEG). The event-related potential (ERP)-based BCI problem consists of a binary…

计算机视觉与模式识别 · 计算机科学 2016-08-25 Victoria Peterson , Hugo Leonardo Rufiner , Ruben Daniel Spies

Reinforcement learning (RL) problems are fundamental in online decision-making and have been instrumental in finding an optimal policy for Markov decision processes (MDPs). Function approximations are usually deployed to handle large or…

机器学习 · 计算机科学 2025-05-20 Jiashuo Jiang , Yiming Zong , Yinyu Ye

The objective is to study an on-line Hidden Markov model (HMM) estimation-based Q-learning algorithm for partially observable Markov decision process (POMDP) on finite state and action sets. When the full state observation is available,…

机器学习 · 计算机科学 2018-09-25 Hyung-Jin Yoon , Donghwan Lee , Naira Hovakimyan

Kullback-Leibler (KL) regularization is widely used in offline decision-making and offers several benefits, motivating recent work on the sample complexity of offline learning with respect to KL-regularized performance metrics.…

机器学习 · 计算机科学 2026-05-05 Kaixuan Ji , Qiwei Di , Heyang Zhao , Qingyue Zhao , Quanquan Gu

In this paper we consider a control problem for a Partially Observable Piecewise Deterministic Markov Process of the following type: After the jump of the process the controller receives a noisy signal about the state and the aim is to…

最优化与控制 · 数学 2021-07-21 Nicole Bäuerle , Dirk Lange

Multi-objective reinforcement learning (MORL) is a relatively new field which builds on conventional Reinforcement Learning (RL) to solve multi-objective problems. One of common algorithm is to extend scalar value Q-learning by using vector…

机器学习 · 计算机科学 2022-11-17 Kewen Ding

Neural Network (Deep Learning) is a modern model in Artificial Intelligence and it has been exploited in Survival Analysis. Although several improvements have been shown by previous works, training an excellent deep learning model requires…

机器学习 · 统计学 2023-04-14 Li Liu , Xiangeng Fang , Di Wang , Weijing Tang , Kevin He

In this paper, we define and solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic Gaussian (LQG) and the linear-quadratic sensorimotor (LQS) control model. These Stochastic Optimal Control (SOC) models are…

最优化与控制 · 数学 2022-11-01 Philipp Karg , Simon Stoll , Simon Rothfuß , Sören Hohmann

NeuralODE is one example for generative machine learning based on the push forward of a simple source measure with a bijective mapping, which in the case of NeuralODE is given by the flow of a ordinary differential equation. Using…

机器学习 · 计算机科学 2025-03-17 Emily C. Ehrhardt , Hanno Gottschalk , Tobias J. Riedlinger