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Inverse reinforcement learning (IRL) aims to estimate the reward function of optimizing agents by observing their response (estimates or actions). This paper considers IRL when noisy estimates of the gradient of a reward function generated…

机器学习 · 计算机科学 2021-01-19 Vikram Krishnamurthy , George Yin

Inverse reinforcement learning (IRL) recovers the loss function of a forward learner from its observed responses. Adaptive IRL aims to reconstruct the loss function of a forward learner by passively observing its gradients as it performs…

机器学习 · 计算机科学 2026-05-07 Vikram Krishnamurthy , Luke Snow

Langevin algorithms are gradient descent methods with additive noise. They have been used for decades in Markov chain Monte Carlo (MCMC) sampling, optimization, and learning. Their convergence properties for unconstrained non-convex…

机器学习 · 计算机科学 2020-12-23 Andrew Lamperski

Continuous-time models provide important insights into the training dynamics of optimization algorithms in deep learning. In this work, we establish a non-asymptotic convergence analysis of stochastic gradient Langevin dynamics (SGLD),…

机器学习 · 计算机科学 2026-01-30 Noah Oberweis , Semih Cayci

Stochastic Gradient Langevin Dynamics (SGLD) is a popular variant of Stochastic Gradient Descent, where properly scaled isotropic Gaussian noise is added to an unbiased estimate of the gradient at each iteration. This modest change allows…

机器学习 · 计算机科学 2017-06-06 Maxim Raginsky , Alexander Rakhlin , Matus Telgarsky

This monograph, spanning three chapters, explores Inverse Reinforcement Learning (IRL). The first two chapters view inverse reinforcement learning (IRL) through the lens of revealed preferences from microeconomics while the third chapter…

机器学习 · 计算机科学 2025-07-08 Vikram Krishnamurthy

We propose an adaptively weighted stochastic gradient Langevin dynamics algorithm (SGLD), so-called contour stochastic gradient Langevin dynamics (CSGLD), for Bayesian learning in big data statistics. The proposed algorithm is essentially a…

机器学习 · 统计学 2022-05-24 Wei Deng , Guang Lin , Faming Liang

Stochastic Gradient Langevin Dynamics (SGLD) is a powerful algorithm for optimizing a non-convex objective, where a controlled and properly scaled Gaussian noise is added to the stochastic gradients to steer the iterates towards a global…

最优化与控制 · 数学 2020-06-04 Yuanhan Hu , Xiaoyu Wang , Xuefeng Gao , Mert Gurbuzbalaban , Lingjiong Zhu

We consider the problem of sampling from a target distribution, which is \emph {not necessarily logconcave}, in the context of empirical risk minimization and stochastic optimization as presented in Raginsky et al. (2017). Non-asymptotic…

统计理论 · 数学 2021-02-03 Ngoc Huy Chau , Éric Moulines , Miklos Rásonyi , Sotirios Sabanis , Ying Zhang

We study the Stochastic Gradient Langevin Dynamics (SGLD) algorithm for non-convex optimization. The algorithm performs stochastic gradient descent, where in each step it injects appropriately scaled Gaussian noise to the update. We analyze…

机器学习 · 计算机科学 2018-04-10 Yuchen Zhang , Percy Liang , Moses Charikar

We provide a new convergence analysis of stochastic gradient Langevin dynamics (SGLD) for sampling from a class of distributions that can be non-log-concave. At the core of our approach is a novel conductance analysis of SGLD using an…

机器学习 · 计算机科学 2021-02-24 Difan Zou , Pan Xu , Quanquan Gu

Stochastic gradient Langevin dynamics (SGLD) is a computationally efficient sampler for Bayesian posterior inference given a large scale dataset. Although SGLD is designed for unbounded random variables, many practical models incorporate…

机器学习 · 统计学 2019-06-21 Soma Yokoi , Takuma Otsuka , Issei Sato

We introduce a novel and efficient algorithm called the stochastic approximate gradient descent (SAGD), as an alternative to the stochastic gradient descent for cases where unbiased stochastic gradients cannot be trivially obtained.…

机器学习 · 计算机科学 2020-02-14 Yixuan Qiu , Xiao Wang

In this paper, the inverse reinforcement learning (IRL) problem is addressed to reconstruct the unknown cost function underlying an observed optimal policy in a model-free manner, whose online adaptation with completely off-policy system…

最优化与控制 · 数学 2025-11-20 Yibei Li , Yuexin Cao , Zhixin Liu , Lihua Xie

One way to avoid overfitting in machine learning is to use model parameters distributed according to a Bayesian posterior given the data, rather than the maximum likelihood estimator. Stochastic gradient Langevin dynamics (SGLD) is one…

机器学习 · 统计学 2017-12-05 Gaétan Marceau-Caron , Yann Ollivier

A new approach in stochastic optimization via the use of stochastic gradient Langevin dynamics (SGLD) algorithms, which is a variant of stochastic gradient decent (SGD) methods, allows us to efficiently approximate global minimizers of…

投资组合管理 · 定量金融 2020-07-06 Sotirios Sabanis , Ying Zhang

While low-precision optimization has been widely used to accelerate deep learning, low-precision sampling remains largely unexplored. As a consequence, sampling is simply infeasible in many large-scale scenarios, despite providing…

机器学习 · 计算机科学 2022-06-22 Ruqi Zhang , Andrew Gordon Wilson , Christopher De Sa

Stochastic gradients have been widely integrated into Langevin-based methods to improve their scalability and efficiency in solving large-scale sampling problems. However, the proximal sampler, which exhibits much faster convergence than…

机器学习 · 统计学 2024-05-28 Xunpeng Huang , Difan Zou , Yi-An Ma , Hanze Dong , Tong Zhang

The stochastic gradient Langevin Dynamics is one of the most fundamental algorithms to solve sampling problems and non-convex optimization appearing in several machine learning applications. Especially, its variance reduced versions have…

机器学习 · 计算机科学 2022-11-22 Yuri Kinoshita , Taiji Suzuki

We study the problem of non-convex optimization using Stochastic Gradient Langevin Dynamics (SGLD). SGLD is a natural and popular variation of stochastic gradient descent where at each step, appropriately scaled Gaussian noise is added. To…

机器学习 · 计算机科学 2024-07-08 August Y. Chen , Ayush Sekhari , Karthik Sridharan
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