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Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

Closed-form stochastic filtering equations can be derived in a general setting where probability distributions are replaced by some specific outer measures. In this article, we study how the principles of the sequential Monte Carlo method…

Methodology · Statistics 2018-05-07 Jeremie Houssineau , Branko Ristic

Deep reinforcement learning has led to several recent breakthroughs, though the learned policies are often based on black-box neural networks. This makes them difficult to interpret and to impose desired specification constraints during…

Machine Learning · Computer Science 2018-07-05 Surya Bhupatiraju , Kumar Krishna Agrawal , Rishabh Singh

We study the problem of programmatic reinforcement learning, in which policies are represented as short programs in a symbolic language. Programmatic policies can be more interpretable, generalizable, and amenable to formal verification…

Machine Learning · Computer Science 2021-01-21 Abhinav Verma , Hoang M. Le , Yisong Yue , Swarat Chaudhuri

We introduce a constrained optimization method for policy gradient reinforcement learning, which uses a virtual trust region to regulate each policy update. In addition to using the proximity of one single old policy as the normal trust…

Machine Learning · Computer Science 2022-09-19 Hung Le , Thommen Karimpanal George , Majid Abdolshah , Dung Nguyen , Kien Do , Sunil Gupta , Svetha Venkatesh

A statistical learning approach for parametric PDEs related to Uncertainty Quantification is derived. The method is based on the minimization of an empirical risk on a selected model class and it is shown to be applicable to a broad range…

Numerical Analysis · Mathematics 2020-01-07 Martin Eigel , Reinhold Schneider , Philipp Trunschke , Sebastian Wolf

Multi-task reinforcement learning (RL) aims to find a single policy that effectively solves multiple tasks at the same time. This paper presents a constrained formulation for multi-task RL where the goal is to maximize the average…

Optimization and Control · Mathematics 2024-05-07 Sihan Zeng , Thinh T. Doan , Justin Romberg

We consider the problem of improving the efficiency of randomized Fourier feature maps to accelerate training and testing speed of kernel methods on large datasets. These approximate feature maps arise as Monte Carlo approximations to…

Machine Learning · Statistics 2015-08-11 Haim Avron , Vikas Sindhwani , Jiyan Yang , Michael Mahoney

Deep reinforcement learning methods have achieved state-of-the-art results in a variety of challenging, high-dimensional domains ranging from video games to locomotion. The key to success has been the use of deep neural networks used to…

Machine Learning · Computer Science 2020-11-17 Hiteshi Sharma , Rahul Jain

Optimizing or sampling complex cost functions of combinatorial optimization problems is a longstanding challenge across disciplines and applications. When employing family of conventional algorithms based on Markov Chain Monte Carlo (MCMC)…

Machine Learning · Computer Science 2025-08-15 Dmitrii Dobrynin , Masoud Mohseni , John Paul Strachan

The problem of optimising functions with intractable gradients frequently arise in machine learning and statistics, ranging from maximum marginal likelihood estimation procedures to fine-tuning of generative models. Stochastic approximation…

Machine Learning · Statistics 2026-01-30 James Cuin , Davide Carbone , Yanbo Tang , O. Deniz Akyildiz

Many reinforcement learning algorithms use value functions to guide the search for better policies. These methods estimate the value of a single policy while generalizing across many states. The core idea of this paper is to flip this…

Machine Learning · Computer Science 2020-02-28 Jean Harb , Tom Schaul , Doina Precup , Pierre-Luc Bacon

Classical algorithms in numerical analysis for numerical integration (quadrature/cubature) follow the principle of approximate and integrate: the integrand is approximated by a simple function (e.g. a polynomial), which is then integrated…

Numerical Analysis · Mathematics 2018-06-15 Yuji Nakatsukasa

Policy gradient methods in reinforcement learning have become increasingly prevalent for state-of-the-art performance in continuous control tasks. Novel methods typically benchmark against a few key algorithms such as deep deterministic…

Machine Learning · Computer Science 2017-08-15 Riashat Islam , Peter Henderson , Maziar Gomrokchi , Doina Precup

Monte Carlo (MC) sampling algorithms are an extremely widely-used technique to estimate expectations of functions f(x), especially in high dimensions. Control variates are a very powerful technique to reduce the error of such estimates, but…

Machine Learning · Statistics 2016-06-08 Brendan D. Tracey , David H. Wolpert

Population Monte Carlo (PMC) sampling methods are powerful tools for approximating distributions of static unknowns given a set of observations. These methods are iterative in nature: at each step they generate samples from a proposal…

Computation · Statistics 2022-01-17 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

We present an off-policy actor-critic algorithm for Reinforcement Learning (RL) that combines ideas from gradient-free optimization via stochastic search with learned action-value function. The result is a simple procedure consisting of…

Supervised approaches for text summarisation suffer from the problem of mismatch between the target labels/scores of individual sentences and the evaluation score of the final summary. Reinforcement learning can solve this problem by…

Computation and Language · Computer Science 2017-11-15 Diego Molla

We consider the problem of control in the setting of reinforcement learning (RL), where model information is not available. Policy gradient algorithms are a popular solution approach for this problem and are usually shown to converge to a…

Machine Learning · Computer Science 2023-04-24 Mizhaan Prajit Maniyar , Akash Mondal , Prashanth L. A. , Shalabh Bhatnagar

Recent advances in large language models (LLMs) have increasingly relied on reinforcement learning (RL) to improve their reasoning capabilities. Three types of approaches have been widely adopted: The first relies on a deep neural network…

Machine Learning · Computer Science 2026-05-19 Shijin Gong , Kai Ye , Jin Zhu , Xinyu Zhang , Hongyi Zhou , Chengchun Shi