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Bilevel optimization has been successfully applied to many important machine learning problems. Algorithms for solving bilevel optimization have been studied under various settings. In this paper, we study the nonconvex-strongly-convex…

最优化与控制 · 数学 2022-06-14 Xuxing Chen , Minhui Huang , Shiqian Ma

We consider the fully decentralized machine learning scenario where many users with personal datasets collaborate to learn models through local peer-to-peer exchanges, without a central coordinator. We propose to train personalized models…

机器学习 · 计算机科学 2024-12-20 Valentina Zantedeschi , Aurélien Bellet , Marc Tommasi

This paper presents a decentralized algorithm for non-convex optimization over tree-structured networks. We assume that each node of this network can solve small-scale optimization problems and communicate approximate value functions with…

最优化与控制 · 数学 2020-11-02 Yuning Jiang , Dimitris Kouzoupis , Haoyu Yin , Moritz Diehl , Boris Houska

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

最优化与控制 · 数学 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems…

机器学习 · 计算机科学 2012-12-27 Miguel Á. Carreira-Perpiñán , Weiran Wang

This paper studies the problem of mapping optimization in decentralized control problems. A global optimization algorithm is proposed based on the ideas of ``deterministic annealing" - a powerful non-convex optimization framework derived…

系统与控制 · 计算机科学 2014-03-24 Mustafa Mehmetoglu , Emrah Akyol , Kenneth Rose

Decentralized optimization is a common paradigm used in distributed signal processing and sensing as well as privacy-preserving and large-scale machine learning. It is assumed that several computational entities locally hold objective…

最优化与控制 · 数学 2023-01-12 Alexander Rogozin , Demyan Yarmoshik , Ksenia Kopylova , Alexander Gasnikov

In this paper, a distributed stochastic approximation algorithm is studied. Applications of such algorithms include decentralized estimation, optimization, control or computing. The algorithm consists in two steps: a local step, where each…

最优化与控制 · 数学 2013-12-03 Pascal Bianchi , Gersende Fort , Walid Hachem

Distributed optimization and learning algorithms are designed to operate over large scale networks enabling processing of vast amounts of data effectively and efficiently. One of the main challenges for ensuring a smooth learning process in…

系统与控制 · 电气工程与系统科学 2026-01-21 Apostolos I. Rikos , Nicola Bastianello , Themistoklis Charalambous , Karl H. Johansson

We present a methodology to automatically compute worst-case performance bounds for a large class of first-order decentralized optimization algorithms. These algorithms aim at minimizing the average of local functions that are distributed…

最优化与控制 · 数学 2023-12-14 Sebastien Colla , Julien M. Hendrickx

We derive an adaptive hierarchical method of estimating high dimensional probability density functions. We call this method of density estimation the "adaptive cluster expansion" or ACE for short. We present an application of this approach,…

神经与进化计算 · 计算机科学 2010-12-17 Stephen Luttrell

Modeling heterogeneity by extraction and exploitation of high-order information from heterogeneous information networks (HINs) has been attracting immense research attention in recent times. Such heterogeneous network embedding (HNE)…

机器学习 · 计算机科学 2022-01-11 Mubashir Imran , Hongzhi Yin , Tong Chen , Zi Huang , Kai Zheng

Observations collected by agents in a network may be unreliable due to observation noise or interference. This paper proposes a distributed algorithm that allows each node to improve the reliability of its own observation by relying solely…

机器学习 · 计算机科学 2022-03-21 Roula Nassif , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

This paper provides an algorithmic framework for obtaining fast distributed algorithms for a highly-dynamic setting, in which *arbitrarily many* edge changes may occur in each round. Our algorithm significantly improves upon prior work in…

分布式、并行与集群计算 · 计算机科学 2020-10-13 Keren Censor-Hillel , Neta Dafni , Victor I. Kolobov , Ami Paz , Gregory Schwartzman

In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

机器学习 · 计算机科学 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Model-based diagnosis reasons backwards from a functional schematic of a system to isolate faults given observations of anomalous behavior. We develop a fully probabilistic approach to model based diagnosis and extend it to support…

人工智能 · 计算机科学 2013-02-28 Sampath Srinivas

We consider the problem of decentralized hypothesis testing under communication constraints in a topology where several peripheral nodes are arranged in tandem. Each node receives an observation and transmits a message to its successor, and…

信息论 · 计算机科学 2015-06-19 Alla Tarighati , Joakim Jalden

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

最优化与控制 · 数学 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

Flexible and scalable decentralized learning solutions are fundamentally important in the application of multi-agent systems. While several recent approaches introduce (ensembles of) kernel machines in the distributed setting, Bayesian…

机器学习 · 计算机科学 2025-02-11 Fernando Llorente , Daniel Waxman , Petar M. Djurić

We address the problem of sequentially selecting and observing processes from a given set to find the anomalies among them. The decision-maker observes a subset of the processes at any given time instant and obtains a noisy binary indicator…

机器学习 · 计算机科学 2021-12-10 Geethu Joseph , Chen Zhong , M. Cenk Gursoy , Senem Velipasalar , Pramod K. Varshney