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The non-smooth finite-sum minimization is a fundamental problem in machine learning. This paper develops a distributed stochastic proximal-gradient algorithm with random reshuffling to solve the finite-sum minimization over time-varying…

最优化与控制 · 数学 2022-10-11 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen , Lihua Xie

Flexible variational distributions improve variational inference but are harder to optimize. In this work we present a control variate that is applicable for any reparameterizable distribution with known mean and covariance matrix, e.g.…

机器学习 · 计算机科学 2020-10-26 Tomas Geffner , Justin Domke

We consider distributed optimization methods for problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We leverage randomized sketches for reducing the problem dimensions as well as…

最优化与控制 · 数学 2022-03-21 Burak Bartan , Mert Pilanci

We deal with the problem of gradient estimation for stochastic differentiable relaxations of algorithms, operators, simulators, and other non-differentiable functions. Stochastic smoothing conventionally perturbs the input of a…

机器学习 · 计算机科学 2024-10-11 Felix Petersen , Christian Borgelt , Aashwin Mishra , Stefano Ermon

In this paper we consider distributed optimization problems in which the cost function is separable (i.e., a sum of possibly non-smooth functions all sharing a common variable) and can be split into a strongly convex term and a convex one.…

最优化与控制 · 数学 2016-09-20 Ivano Notarnicola , Giuseppe Notarstefano

We study distributed optimization to minimize a global objective that is a sum of smooth and strongly-convex local cost functions. Recently, several algorithms over undirected and directed graphs have been proposed that use a gradient…

最优化与控制 · 数学 2018-08-13 Ran Xin , Usman A. Khan

We introduce a new algorithm for approximate inference that combines reparametrization, Markov chain Monte Carlo and variational methods. We construct a very flexible implicit variational distribution synthesized by an arbitrary Markov…

机器学习 · 统计学 2017-08-07 Michalis K. Titsias

The global average treatment effect (GATE) is a primary quantity of interest in the study of causal inference under network interference. With a correctly specified exposure model of the interference, the Horvitz-Thompson (HT) and H\'ajek…

统计方法学 · 统计学 2020-09-07 Johan Ugander , Hao Yin

The analysis of surface wave dispersion curves is a way to infer the vertical distribution of shear-wave velocity. The range of applicability is extremely wide going, for example, from seismological studies to geotechnical characterizations…

地球物理 · 物理学 2021-02-25 Giulio Vignoli , Julien Guillemoteau , Jeniffer Barreto , Matteo Rossi

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

最优化与控制 · 数学 2019-05-28 Lukáš Adam , Martin Branda

Spectral clustering and its extensions usually consist of two steps: (1) constructing a graph and computing the relaxed solution; (2) discretizing relaxed solutions. Although the former has been extensively investigated, the discretization…

机器学习 · 计算机科学 2023-10-20 Hongyuan Zhang , Xuelong Li

For on-policy reinforcement learning, discretizing action space for continuous control can easily express multiple modes and is straightforward to optimize. However, without considering the inherent ordering between the discrete atomic…

机器学习 · 计算机科学 2024-08-02 Yuanyang Zhu , Zhi Wang , Yuanheng Zhu , Chunlin Chen , Dongbin Zhao

We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

机器学习 · 计算机科学 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

Stochastic neurons and hard non-linearities can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such…

机器学习 · 计算机科学 2013-08-16 Yoshua Bengio , Nicholas Léonard , Aaron Courville

Regularization is often used in high-dimensional regression settings to generate a sparse model, which can save tremendous computing resources and identify predictors that are most strongly associated with the response. When the predictors…

机器学习 · 统计学 2026-05-07 Jia Wei He , R. Ayesha Ali , Gerarda Darlington

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

数据结构与算法 · 计算机科学 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Dropout is used as a practical tool to obtain uncertainty estimates in large vision models and reinforcement learning (RL) tasks. But to obtain well-calibrated uncertainty estimates, a grid-search over the dropout probabilities is necessary…

机器学习 · 统计学 2017-05-23 Yarin Gal , Jiri Hron , Alex Kendall

We study a general framework of distributional computational graphs: computational graphs whose inputs are probability distributions rather than point values. We analyze the discretization error that arises when these graphs are evaluated…

机器学习 · 统计学 2026-02-13 Olof Hallqvist Elias , Michael Selby , Phillip Stanley-Marbell

Discrete Diffusion and Flow Matching models have significantly advanced generative modeling for discrete structures, including graphs. However, the dependencies between intermediate noisy states lead to error accumulation and propagation…

机器学习 · 计算机科学 2025-06-24 Yoann Boget

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

数据结构与算法 · 计算机科学 2019-04-12 He Sun , Luca Zanetti