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A guiding principle for data reduction in statistical inference is the sufficiency principle. This paper extends the classical sufficiency principle to decentralized inference, i.e., data reduction needs to be achieved in a decentralized…

信息论 · 计算机科学 2015-06-16 Ge Xu , Shengyu Zhu , Biao Chen

We study synchronization processes in networks of slightly non identical chaotic systems, for which a complete invariant synchronization manifold does not rigorously exist. We show and quantify how a slightly dispersed distribution in…

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

统计力学 · 物理学 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

最优化与控制 · 数学 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

Irregularly sampled time series data arise naturally in many application domains including biology, ecology, climate science, astronomy, and health. Such data represent fundamental challenges to many classical models from machine learning…

机器学习 · 计算机科学 2021-01-07 Satya Narayan Shukla , Benjamin M. Marlin

We show that a simple telescoping sum trick, together with the triangle inequality and a tensorisation property of expected-contractive coefficients of random channels, allow us to achieve general simultaneous decoupling for multiple users…

量子物理 · 物理学 2024-11-15 Pau Colomer , Andreas Winter

For an autonomous linear time-invariant (LTI) system, a distributed observer with time-triggered periodic observations and event-triggered communication is proposed to estimate the state of the system. It is shown that the sampling period…

系统与控制 · 电气工程与系统科学 2023-05-08 Shimin Wang , Zhan Shu , Tongwen Chen

In this paper, the fixed-time cluster synchronization problem for complex networks via pinning control is discussed. Fixed-time synchronization has been a hot topic in recent years, which means that the network can achieve synchronization…

系统与控制 · 计算机科学 2015-09-14 Xiwei Liu , Tianping Chen

Decentralized methods to solve finite-sum minimization problems are important in many signal processing and machine learning tasks where the data is distributed over a network of nodes and raw data sharing is not permitted due to privacy…

机器学习 · 计算机科学 2020-02-14 Ran Xin , Soummya Kar , Usman A. Khan

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

最优化与控制 · 数学 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov

A general decentralized computational framework for set-valued state estimation and prediction for the class of systems that accept a hybrid state machine representation is considered in this article. The decentralized scheme consists of a…

系统与控制 · 计算机科学 2013-02-28 Naim Bajcinca , Yashar Kouhi , Vladislav Nenchev , Jörg Raisch

Achieving deterministic computation results in asynchronous neuromorphic systems remains a fundamental challenge due to the inherent temporal stochasticity of continuous-time hardware. To address this, we develop a unified continuous-time…

机器学习 · 计算机科学 2026-03-18 Jing Yan , Kang You , Zhezhi He , Yaoyu Zhang

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

最优化与控制 · 数学 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

最优化与控制 · 数学 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

Deep neural networks are powerful tools to model observations over time with non-linear patterns. Despite the widespread use of neural networks in such settings, most theoretical developments of deep neural networks are under the assumption…

机器学习 · 统计学 2022-10-24 Mingliang Ma , Abolfazl Safikhani

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Complex networks are the subject of fundamental interest from the scientific community at large. Several metrics have been introduced to characterize the structure of these networks, such as the degree distribution, degree correlation, path…

物理与社会 · 物理学 2019-01-14 Francesco Sorrentino , Abu Bakar Siddique , Louis M. Pecora

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

最优化与控制 · 数学 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

Concurrent synchronization is a regime where diverse groups of fully synchronized dynamic systems stably coexist. We study global exponential synchronization and concurrent synchronization in the context of Lagrangian systems control. In a…

最优化与控制 · 数学 2009-05-18 Soon-Jo Chung , Jean-Jacques E. Slotine