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While modern machine learning models rely on increasingly large training datasets, data is often limited in privacy-sensitive domains. Generative models trained with differential privacy (DP) on sensitive data can sidestep this challenge,…

机器学习 · 统计学 2024-01-02 Tim Dockhorn , Tianshi Cao , Arash Vahdat , Karsten Kreis

We propose graph-dependent implicit regularisation strategies for distributed stochastic subgradient descent (Distributed SGD) for convex problems in multi-agent learning. Under the standard assumptions of convexity, Lipschitz continuity,…

机器学习 · 计算机科学 2018-09-20 Dominic Richards , Patrick Rebeschini

Linear discriminant analysis (LDA) is a fundamental classification and dimension reduction method that achieves Bayes optimality under Gaussian mixture, but often struggles in high-dimensional settings where the covariance matrix cannot be…

统计计算 · 统计学 2026-04-06 Cencheng Shen , Yuexiao Dong

Existing machine learning literature lacks graph-based domain adaptation techniques capable of handling large distribution shifts, primarily due to the difficulty in simulating a coherent evolutionary path from source to target graph. To…

机器学习 · 计算机科学 2026-05-14 Pui Ieng Lei , Ximing Chen , Yijun Sheng , Yanyan Liu , Zhiguo Gong , Qiang Yang

Variational Bayes (VB) applied to latent Dirichlet allocation (LDA) has become the most popular algorithm for aspect modeling. While sufficiently successful in text topic extraction from large corpora, VB is less successful in identifying…

机器学习 · 计算机科学 2022-08-22 Rebecca M. C. Taylor , Johan A. du Preez

Latent variable models are powerful tools for learning low-dimensional manifolds from high-dimensional data. However, when dealing with constrained data such as unit-norm vectors or symmetric positive-definite matrices, existing approaches…

机器学习 · 计算机科学 2025-03-10 Leonel Rozo , Miguel González-Duque , Noémie Jaquier , Søren Hauberg

The decentralized gradient descent (DGD) algorithm, and its sibling, diffusion, are workhorses in decentralized machine learning, distributed inference and estimation, and multi-agent coordination. We propose a novel, principled framework…

信号处理 · 电气工程与系统科学 2025-06-04 Erik G. Larsson , Nicolo Michelusi

This paper presents an algorithm for the unsupervised learning of latent variable models from unlabeled sets of data. We base our technique on spectral decomposition, providing a technique that proves to be robust both in theory and in…

机器学习 · 统计学 2017-04-05 Matteo Ruffini , Marta Casanellas , Ricard Gavaldà

We develop a Distributed Event-Triggered Stochastic GRAdient Descent (DETSGRAD) algorithm for solving non-convex optimization problems typically encountered in distributed deep learning. We propose a novel communication triggering mechanism…

最优化与控制 · 数学 2019-09-12 Jemin George , Prudhvi Gurram

In many applications of practical interest, solutions of partial differential equation models arise as critical points of an underlying (energy) functional. If such solutions are saddle points, rather than being maxima or minima, then the…

数值分析 · 数学 2020-09-07 Pascal Heid , Thomas P. Wihler

Latent Dirichlet analysis, or topic modeling, is a flexible latent variable framework for modeling high-dimensional sparse count data. Various learning algorithms have been developed in recent years, including collapsed Gibbs sampling,…

机器学习 · 计算机科学 2012-05-14 Arthur Asuncion , Max Welling , Padhraic Smyth , Yee Whye Teh

Stochastic gradient Langevin dynamics (SGLD) and stochastic gradient Hamiltonian Monte Carlo (SGHMC) are two popular Markov Chain Monte Carlo (MCMC) algorithms for Bayesian inference that can scale to large datasets, allowing to sample from…

机器学习 · 统计学 2021-08-30 Mert Gürbüzbalaban , Xuefeng Gao , Yuanhan Hu , Lingjiong Zhu

We consider a distributed non-convex optimization where a network of agents aims at minimizing a global function over the Stiefel manifold. The global function is represented as a finite sum of smooth local functions, where each local…

最优化与控制 · 数学 2021-02-16 Shixiang Chen , Alfredo Garcia , Mingyi Hong , Shahin Shahrampour

Topic models, and more specifically the class of Latent Dirichlet Allocation (LDA), are widely used for probabilistic modeling of text. MCMC sampling from the posterior distribution is typically performed using a collapsed Gibbs sampler. We…

机器学习 · 统计学 2017-08-16 Måns Magnusson , Leif Jonsson , Mattias Villani , David Broman

Distributed machine learning has been widely studied in the literature to scale up machine learning model training in the presence of an ever-increasing amount of data. We study distributed machine learning from another perspective, where…

分布式、并行与集群计算 · 计算机科学 2019-05-16 Yaochen Hu , Di Niu , Jianming Yang , Shengping Zhou

Natural Gradient Descent, a second-degree optimization method motivated by the information geometry, makes use of the Fisher Information Matrix instead of the Hessian which is typically used. However, in many cases, the Fisher Information…

机器学习 · 计算机科学 2023-03-10 Rajesh Shrestha

We introduce a new family of MCMC samplers that combine auxiliary variables, Gibbs sampling and Taylor expansions of the target density. Our approach permits the marginalisation over the auxiliary variables yielding marginal samplers, or…

机器学习 · 统计学 2018-01-26 Michalis K. Titsias , Omiros Papaspiliopoulos

We devise a distributional variant of gradient temporal-difference (TD) learning. Distributional reinforcement learning has been demonstrated to outperform the regular one in the recent study \citep{bellemare2017distributional}. In the…

机器学习 · 计算机科学 2019-04-04 Chao Qu , Shie Mannor , Huan Xu

As the emergence and the thriving development of social networks, a huge number of short texts are accumulated and need to be processed. Inferring latent topics of collected short texts is useful for understanding its hidden structure and…

机器学习 · 统计学 2018-04-04 Zhenghang Cui , Issei Sato , Masashi Sugiyama

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

机器学习 · 统计学 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd