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Training neural network models with discrete (categorical or structured) latent variables can be computationally challenging, due to the need for marginalization over large or combinatorial sets. To circumvent this issue, one typically…

机器学习 · 计算机科学 2020-12-29 Gonçalo M. Correia , Vlad Niculae , Wilker Aziz , André F. T. Martins

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

最优化与控制 · 数学 2013-01-08 Enlu Zhou , Jiaqiao Hu

In this paper, we introduce an unbiased gradient simulation algorithms for solving convex optimization problem with stochastic function compositions. We show that the unbiased gradient generated from the algorithm has finite variance and…

最优化与控制 · 数学 2017-11-22 Jose Blanchet , Donald Goldfarb , Garud Iyengar , Fengpei Li , Chaoxu Zhou

Stochastic coordinate descent algorithms are efficient methods in which each iterate is obtained by fixing most coordinates at their values from the current iteration, and approximately minimizing the objective with respect to the remaining…

机器学习 · 统计学 2025-04-02 Eméric Gbaguidi

We study a version of the proximal gradient algorithm for which the gradient is intractable and is approximated by Monte Carlo methods (and in particular Markov Chain Monte Carlo). We derive conditions on the step size and the Monte Carlo…

统计理论 · 数学 2016-11-22 Yves F. Atchade , Gersende Fort , Eric Moulines

We introduce and compare computational techniques for sharp extreme event probability estimates in stochastic differential equations with small additive Gaussian noise. In particular, we focus on strategies that are scalable, i.e. their…

统计计算 · 统计学 2023-11-27 Timo Schorlepp , Shanyin Tong , Tobias Grafke , Georg Stadler

In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

应用统计 · 统计学 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

Within many machine learning algorithms, a fundamental problem concerns efficient calculation of an unbiased gradient wrt parameters $\gammav$ for expectation-based objectives $\Ebb_{q_{\gammav} (\yv)} [f(\yv)]$. Most existing methods…

机器学习 · 统计学 2019-01-21 Yulai Cong , Miaoyun Zhao , Ke Bai , Lawrence Carin

Black box discrete optimization (BBDO) appears in wide range of engineering tasks. Evolutionary or other BBDO approaches have been applied, aiming at automating necessary tuning of system parameters, such as hyper parameter tuning of…

机器学习 · 计算机科学 2018-09-19 Kouhei Nishida , Hernan Aguirre , Shota Saito , Shinichi Shirakawa , Youhei Akimoto

We propose a general and scalable approximate sampling strategy for probabilistic models with discrete variables. Our approach uses gradients of the likelihood function with respect to its discrete inputs to propose updates in a…

机器学习 · 计算机科学 2021-06-08 Will Grathwohl , Kevin Swersky , Milad Hashemi , David Duvenaud , Chris J. Maddison

We consider distributed optimization over networks where each agent is associated with a smooth and strongly convex local objective function. We assume that the agents only have access to unbiased estimators of the gradient of their…

最优化与控制 · 数学 2021-10-14 Farzad Yousefian , Jayesh Yevale , Harshal D. Kaushik

There are several applications of stochastic optimization where one can benefit from a robust estimate of the gradient. For example, domains such as distributed learning with corrupted nodes, the presence of large outliers in the training…

机器学习 · 统计学 2025-10-30 Fabian Schaipp , Guillaume Garrigos , Umut Simsekli , Robert Gower

Recent progress in deep latent variable models has largely been driven by the development of flexible and scalable variational inference methods. Variational training of this type involves maximizing a lower bound on the log-likelihood,…

机器学习 · 计算机科学 2016-06-02 Andriy Mnih , Danilo J. Rezende

We present a filtering framework for online joint state estimation and parameter identification in nonlinear, time-varying systems. The algorithm uses Rao-Blackwellization technique to infer joint state-parameter posteriors efficiently. In…

系统与控制 · 电气工程与系统科学 2026-03-25 Milad Banitalebi Dehkordi , Manas Mejari , Dario Piga

Selective inference methods are developed for group lasso estimators for use with a wide class of distributions and loss functions. The method includes the use of exponential family distributions, as well as quasi-likelihood modeling for…

统计方法学 · 统计学 2024-03-28 Yiling Huang , Sarah Pirenne , Snigdha Panigrahi , Gerda Claeskens

We present on-line policy gradient algorithms for computing the locally optimal policy of a constrained, average cost, finite state Markov Decision Process. The stochastic approximation algorithms require estimation of the gradient of the…

最优化与控制 · 数学 2018-12-18 Vikram Krishnamurthy , Felisa Vazquez Abad

We introduce a new class of Monte Carlo based approximations of expectations of random variables such that their laws are only available via certain discretizations. Sampling from the discretized versions of these laws can typically…

统计计算 · 统计学 2017-10-17 Dan Crisan , Pierre Del Moral , Jeremie Houssineau , Ajay Jasra

In this work, we consider a distributed multi-agent stochastic optimization problem, where each agent holds a local objective function that is smooth and convex, and that is subject to a stochastic process. The goal is for all agents to…

最优化与控制 · 数学 2022-10-12 Elissa Mhanna , Mohamad Assaad

First-order methods for stochastic optimization have undeniable relevance, in part due to their pivotal role in machine learning. Variance reduction for these algorithms has become an important research topic. In contrast to common…

机器学习 · 计算机科学 2021-09-08 Manuel Madeira , Renato Negrinho , João Xavier , Pedro M. Q. Aguiar

We consider the problem of statistical inference for a class of partially-observed diffusion processes, with discretely-observed data and finite-dimensional parameters. We construct unbiased estimators of the score function, i.e. the…

统计方法学 · 统计学 2021-05-12 Jeremy Heng , Jeremie Houssineau , Ajay Jasra