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We focus on developing efficient and reliable policy optimization strategies for robot learning with real-world data. In recent years, policy gradient methods have emerged as a promising paradigm for training control policies in simulation.…

Machine Learning · Computer Science 2023-11-07 Tyler Westenbroek , Jacob Levy , David Fridovich-Keil

In this paper a novel modification of the multilevel Monte Carlo approach, allowing for further significant complexity reduction, is proposed. The idea of the modification is to use the method of control variates to reduce variance at level…

Computational Finance · Quantitative Finance 2017-03-14 Denis Belomestny , Tigran Nagapetyan

Control variates are a variance-reduction technique for Monte Carlo integration. The principle involves approximating the integrand by a function that can be analytically integrated, and integrating using the Monte Carlo method only the…

Graphics · Computer Science 2025-09-22 Daniel Meister , Takahiro Harada

In this paper, we consider the problem of learning policies to control a large number of homogeneous robots. To this end, we propose a new algorithm we call Graph Policy Gradients (GPG) that exploits the underlying graph symmetry among the…

Robotics · Computer Science 2019-12-03 Arbaaz Khan , Ekaterina Tolstaya , Alejandro Ribeiro , Vijay Kumar

Despite its popularity in the reinforcement learning community, a provably convergent policy gradient method for continuous space-time control problems with nonlinear state dynamics has been elusive. This paper proposes proximal gradient…

Optimization and Control · Mathematics 2022-12-27 Christoph Reisinger , Wolfgang Stockinger , Yufei Zhang

Reinforcement learning algorithms utilizing policy gradients (PG) to optimize Conditional Value at Risk (CVaR) face significant challenges with sample inefficiency, hindering their practical applications. This inefficiency stems from two…

Machine Learning · Computer Science 2024-07-01 Yudong Luo , Yangchen Pan , Han Wang , Philip Torr , Pascal Poupart

We present a unified framework for learning continuous control policies using backpropagation. It supports stochastic control by treating stochasticity in the Bellman equation as a deterministic function of exogenous noise. The product is a…

Machine Learning · Computer Science 2015-11-02 Nicolas Heess , Greg Wayne , David Silver , Timothy Lillicrap , Yuval Tassa , Tom Erez

Multilevel Monte Carlo (MLMC) is a recently proposed variation of Monte Carlo (MC) simulation that achieves variance reduction by simulating the governing equations on a series of spatial (or temporal) grids with increasing resolution.…

Computation · Statistics 2017-04-26 Hillary Fairbanks , Alireza Doostan , Christian Ketelsen , Gianluca Iaccarino

Many continuous control tasks have bounded action spaces. When policy gradient methods are applied to such tasks, out-of-bound actions need to be clipped before execution, while policies are usually optimized as if the actions are not…

Machine Learning · Computer Science 2018-06-25 Yasuhiro Fujita , Shin-ichi Maeda

Originally designed for applications in computer graphics, visual computing (VC) methods synthesize information about physical and virtual worlds, using prescribed algorithms optimized for spatial computing. VC is used to analyze geometry,…

Direct policy search serves as one of the workhorses in modern reinforcement learning (RL), and its applications in continuous control tasks have recently attracted increasing attention. In this work, we investigate the convergence theory…

Optimization and Control · Mathematics 2022-01-03 Kaiqing Zhang , Xiangyuan Zhang , Bin Hu , Tamer Başar

Self-optimizing control is a strategy for selecting controlled variables, where the economic objective guides the selection and design of controlled variables, with the expectation that maintaining the controlled variables at constant…

Optimization and Control · Mathematics 2026-05-08 Chenchen Zhou , Shaoqi Wang , Hongxin Su , Xinhui Tang , Yi Cao , Shuang-Hua Yang

Gradient-based optimization is the foundation of deep learning and reinforcement learning. Even when the mechanism being optimized is unknown or not differentiable, optimization using high-variance or biased gradient estimates is still…

Machine Learning · Computer Science 2018-02-27 Will Grathwohl , Dami Choi , Yuhuai Wu , Geoffrey Roeder , David Duvenaud

It is well known that Markov chain Monte Carlo (MCMC) methods scale poorly with dataset size. A popular class of methods for solving this issue is stochastic gradient MCMC. These methods use a noisy estimate of the gradient of the log…

Computation · Statistics 2017-12-15 Jack Baker , Paul Fearnhead , Emily B. Fox , Christopher Nemeth

Existing reinforcement learning (RL)-based post-training methods for large language models have advanced rapidly, yet their design has largely been guided by heuristics rather than systematic theoretical principles. This gap limits our…

Machine Learning · Statistics 2026-01-16 Zixun Huang , Jiayi Sheng , Zeyu Zheng

In this paper we propose and discuss variance reduction techniques for the estimation of quantiles of the output of a complex model with random input parameters. These techniques are based on the use of a reduced model, such as a metamodel…

Methodology · Statistics 2009-01-27 Claire Cannamela , Josselin Garnier , Bertrand Iooss

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

In many sequential decision-making problems we may want to manage risk by minimizing some measure of variability in costs in addition to minimizing a standard criterion. Conditional value-at-risk (CVaR) is a relatively new risk measure that…

Artificial Intelligence · Computer Science 2014-07-14 Yinlam Chow , Mohammad Ghavamzadeh

Policy gradient methods hold great potential for solving complex continuous control tasks. Still, their training efficiency can be improved by exploiting structure within the optimization problem. Recent work indicates that supervised…

Machine Learning · Computer Science 2024-03-19 Jan Schneider , Pierre Schumacher , Simon Guist , Le Chen , Daniel Häufle , Bernhard Schölkopf , Dieter Büchler

We study the effect of baselines in on-policy stochastic policy gradient optimization, and close the gap between the theory and practice of policy optimization methods. Our first contribution is to show that the \emph{state value} baseline…

Machine Learning · Computer Science 2023-01-18 Jincheng Mei , Wesley Chung , Valentin Thomas , Bo Dai , Csaba Szepesvari , Dale Schuurmans