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This paper bridges optimization and control, and presents a novel closed-loop control framework based on natural gradient descent, offering a trajectory-oriented alternative to traditional cost-function tuning. By leveraging the Fisher…

系统与控制 · 电气工程与系统科学 2025-03-11 Ramin Esmzad , Farnaz Adib Yaghmaie , Hamidreza Modares

The goal of policy gradient approaches is to find a policy in a given class of policies which maximizes the expected return. Given a differentiable model of the policy, we want to apply a gradient-ascent technique to reach a local optimum.…

机器学习 · 计算机科学 2019-11-13 Mattis Manfred Kämmerer

We revisit the Reinforce policy gradient algorithm from the literature. Note that this algorithm typically works with cost returns obtained over random length episodes obtained from either termination upon reaching a goal state (as with…

机器学习 · 计算机科学 2023-10-10 Shalabh Bhatnagar

Natural gradients have long been studied in deep reinforcement learning due to their fast convergence properties and covariant weight updates. However, computing natural gradients requires inversion of the Fisher Information Matrix (FIM) at…

机器学习 · 计算机科学 2026-02-12 Yingxiao Huo , Satya Prakash Dash , Radu Stoican , Samuel Kaski , Mingfei Sun

We study a new two-time-scale stochastic gradient method for solving optimization problems, where the gradients are computed with the aid of an auxiliary variable under samples generated by time-varying MDPs controlled by the underlying…

最优化与控制 · 数学 2024-08-27 Sihan Zeng , Thinh T. Doan , Justin Romberg

In many sequential decision-making problems we may want to manage risk by minimizing some measure of variability in rewards in addition to maximizing a standard criterion. Variance related risk measures are among the most common…

机器学习 · 计算机科学 2015-03-19 Prashanth L. A. , Mohammad Ghavamzadeh

In a variety of problems originating in supervised, unsupervised, and reinforcement learning, the loss function is defined by an expectation over a collection of random variables, which might be part of a probabilistic model or the external…

机器学习 · 计算机科学 2016-01-06 John Schulman , Nicolas Heess , Theophane Weber , Pieter Abbeel

A deep neural network is a hierarchical nonlinear model transforming input signals to output signals. Its input-output relation is considered to be stochastic, being described for a given input by a parameterized conditional probability…

机器学习 · 计算机科学 2018-08-23 Shun-ichi Amari , Ryo Karakida , Masafumi Oizumi

This paper deals with estimating model parameters in graphical models. We reformulate it as an information geometric optimization problem and introduce a natural gradient descent strategy that incorporates additional meta parameters. We…

机器学习 · 计算机科学 2019-05-15 Eric Benhamou , Jamal Atif , Rida Laraki , David Saltiel

Reinforcement learning, mathematically described by Markov Decision Problems, may be approached either through dynamic programming or policy search. Actor-critic algorithms combine the merits of both approaches by alternating between steps…

机器学习 · 计算机科学 2023-01-31 Harshat Kumar , Alec Koppel , Alejandro Ribeiro

Deterministic policy gradient algorithms are foundational for actor-critic methods in controlling continuous systems, yet they often encounter inaccuracies due to their dependence on the derivative of the critic's value estimates with…

机器学习 · 计算机科学 2025-02-11 Baturay Saglam , Dionysis Kalogerias

Reinforcement learning is a promising approach to learning robotics controllers. It has recently been shown that algorithms based on finite-difference estimates of the policy gradient are competitive with algorithms based on the policy…

机器学习 · 计算机科学 2021-10-12 Osbert Bastani

We cast Amari's natural gradient in statistical learning as a specific case of Kalman filtering. Namely, applying an extended Kalman filter to estimate a fixed unknown parameter of a probabilistic model from a series of observations, is…

机器学习 · 统计学 2018-08-29 Yann Ollivier

We consider sequential decision problems in which we adaptively choose one of finitely many alternatives and observe a stochastic reward. We offer a new perspective of interpreting Bayesian ranking and selection problems as adaptive…

机器学习 · 计算机科学 2016-06-16 Yingfei Wang , Warren Powell

The goal of this paper is to analyze distributional Markov Decision Processes as a class of control problems in which the objective is to learn policies that steer the distribution of a cumulative reward toward a prescribed target law,…

最优化与控制 · 数学 2026-02-09 Nicole Bäuerle , Athanasios Vasileiadis

Reinforcement learning considers the problem of finding policies that maximize an expected cumulative reward in a Markov decision process with unknown transition probabilities. In this paper we consider the problem of finding optimal…

机器学习 · 计算机科学 2020-10-19 Santiago Paternain , Juan Andres Bazerque , Alejandro Ribeiro

In this work, we propose a stochastic gradient descent (SGD) framework to design data-driven policy gradient descent algorithms for the linear quadratic regulator problem. Two alternative schemes are considered to estimate the policy…

系统与控制 · 电气工程与系统科学 2026-02-24 Bowen Song , Simon Weissmann , Mathias Staudigl , Andrea Iannelli

We develop policy gradients methods for stochastic control with exit time in a model-free setting. We propose two types of algorithms for learning either directly the optimal policy or by learning alternately the value function (critic) and…

计算金融 · 定量金融 2023-02-16 Mohamed Hamdouche , Pierre Henry-Labordere , Huyen Pham

We study policy gradient for mean-field control in continuous time in a reinforcement learning setting. By considering randomised policies with entropy regularisation, we derive a gradient expectation representation of the value function,…

机器学习 · 统计学 2023-03-14 Noufel Frikha , Maximilien Germain , Mathieu Laurière , Huyên Pham , Xuanye Song

Temporal abstraction allows reinforcement learning agents to represent knowledge and develop strategies over different temporal scales. The option-critic framework has been demonstrated to learn temporally extended actions, represented as…

机器学习 · 计算机科学 2025-11-21 Anand Kamat , Doina Precup