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In the supervised learning domain, considering the recent prevalence of algorithms with high computational cost, the attention is steering towards simpler, lighter, and less computationally extensive training and inference approaches. In…

机器学习 · 计算机科学 2022-09-02 Antonello Rosato , Massimo Panella , Denis Kleyko

Distributed optimization algorithms have been studied extensively in the literature; however, underlying most algorithms is a linear consensus scheme, i.e. averaging variables from neighbors via doubly stochastic matrices. We consider…

最优化与控制 · 数学 2023-03-14 Hsu Kao , Vijay Subramanian

Lifted probabilistic inference algorithms have been successfully applied to a large number of symmetric graphical models. Unfortunately, the majority of real-world graphical models is asymmetric. This is even the case for relational…

人工智能 · 计算机科学 2014-12-02 Guy Van den Broeck , Mathias Niepert

We recently proposed the use of consensus optimization as a viable and effective way to improve the quality of calibration of radio interferometric data. We showed that it is possible to obtain far more accurate calibration solutions and…

天体物理仪器与方法 · 物理学 2016-05-31 Sarod Yatawatta

Developing efficient solutions for inference problems in intelligent sensor networks is crucial for the next generation of location, tracking, and mapping services. This paper develops a scalable distributed probabilistic inference…

机器学习 · 计算机科学 2023-10-24 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

统计理论 · 数学 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

This study addresses a distributed optimization with a novel class of coupling of variables, called clique-wise coupling. A clique is a node set of a complete subgraph of an undirected graph. This setup is an extension of pairwise coupled…

最优化与控制 · 数学 2023-04-24 Yuto Watanabe , Kazunori Sakurama

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

最优化与控制 · 数学 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

机器学习 · 统计学 2017-04-18 Alexandros Nathan , Diego Klabjan

This paper studies a distributed stochastic optimization problem over random networks with imperfect communications subject to a global constraint, which is the intersection of local constraint sets assigned to agents. The global cost…

最优化与控制 · 数学 2016-07-25 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

We propose a distributed method for simultaneous inference for datasets with sample size much larger than the number of covariates, i.e., N >> p, in the generalized linear models framework. When such datasets are too big to be analyzed…

统计方法学 · 统计学 2020-07-23 Lu Tang , Ling Zhou , Peter X. -K. Song

We study the averaging-based distributed optimization solvers over random networks. We show a general result on the convergence of such schemes using weight-matrices that are row-stochastic almost surely and column-stochastic in expectation…

最优化与控制 · 数学 2020-10-06 Adel Aghajan , Behrouz Touri

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

最优化与控制 · 数学 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

An unsupervised classification method for point events occurring on a network of lines is proposed. The idea relies on the distributional flexibility and practicality of random partition models to discover the clustering structure featuring…

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

统计计算 · 统计学 2014-08-01 Manuela Cattelan , Nicola Sartori

Variational inference methods for latent variable statistical models have gained popularity because they are relatively fast, can handle large data sets, and have deterministic convergence guarantees. However, in practice it is unclear…

统计方法学 · 统计学 2017-03-22 Hachem Saddiki , Andrew C. Trapp , Patrick Flaherty

Distributed optimization methods with local updates have recently attracted a lot of attention due to their potential to reduce the communication cost of distributed methods. In these algorithms, a collection of nodes performs several local…

最优化与控制 · 数学 2023-10-11 Sulaiman A. Alghunaim

A fundamental problem arising in many areas of machine learning is the evaluation of the likelihood of a given observation under different nominal distributions. Frequently, these nominal distributions are themselves estimated from data,…

In diverse fields ranging from finance to omics, it is increasingly common that data is distributed and with multiple individual sources (referred to as ``clients'' in some studies). Integrating raw data, although powerful, is often not…

统计方法学 · 统计学 2022-11-08 Yuanxing Chen , Qingzhao Zhang , Shuangge Ma , Kuangnan Fang

There has been an increasing necessity for scalable optimization methods, especially due to the explosion in the size of datasets and model complexity in modern machine learning applications. Scalable solvers often distribute the…

最优化与控制 · 数学 2020-09-08 Guilherme França , José Bento