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In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

系统与控制 · 计算机科学 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

The loss surface of deep neural networks has recently attracted interest in the optimization and machine learning communities as a prime example of high-dimensional non-convex problem. Some insights were recently gained using spin glass…

机器学习 · 统计学 2017-06-05 C. Daniel Freeman , Joan Bruna

A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two computational problems associated to finding decompositions…

分子网络 · 定量生物学 2007-05-23 Bhaskar DasGupta , German Andres Enciso , Eduardo Sontag , Yi Zhang

We derive asymptotic properties for a stochastic dynamic network model in a stochastic dynamic population. In the model, nodes give birth to new nodes until they die, each node being equipped with a social index given at birth. During the…

概率论 · 数学 2019-07-10 Tom Britton , Mathias Lindholm , Tatyana Turova

We consider the problem of maintaining a maximal independent set (MIS) in a dynamic graph subject to edge insertions and deletions. Recently, Assadi, Onak, Schieber and Solomon (STOC 2018) showed that an MIS can be maintained in sublinear…

数据结构与算法 · 计算机科学 2018-08-31 Krzysztof Onak , Baruch Schieber , Shay Solomon , Nicole Wein

In this paper, we focus on the problem of data sharing over a wireless computer network (i.e., a wireless grid). Given a set of available data, we present a distributed algorithm which operates over a dynamically changing network, and…

系统与控制 · 电气工程与系统科学 2022-07-19 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions and abrupt resetting events to a set of reference values. The inclusion of the resetting mechanism not only provides the…

统计力学 · 物理学 2022-12-21 Oriol Artime

We study the spread of a novel state in a network, in the presence of an exogenous control. The considered controlled evolutionary dynamics is a non-homogeneous Markov process that describes the evolution of the states of all nodes in the…

系统与控制 · 电气工程与系统科学 2020-06-23 Lorenzo Zino , Giacomo Como , Fabio Fagnani

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

社会与信息网络 · 计算机科学 2017-07-25 Peter Wills , Francois G. Meyer

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

统计力学 · 物理学 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Inspired by the success of performing multiple local optimization steps between communication rounds in federated learning, incorporating such local updates into distributed optimization has recently attracted growing interest. However,…

系统与控制 · 电气工程与系统科学 2026-04-22 Zuang Wang , Yongqiang Wang

In this paper, we develop deterministic fully dynamic algorithms for computing approximate distances in a graph with worst-case update time guarantees. In particular, we obtain improved dynamic algorithms that, given an unweighted and…

数据结构与算法 · 计算机科学 2022-09-09 Jan van den Brand , Sebastian Forster , Yasamin Nazari

A crucial challenge in decentralized systems is state estimation in the presence of unknown inputs, particularly within heterogeneous sensor networks with dynamic topologies. While numerous consensus algorithms have been introduced, they…

系统与控制 · 电气工程与系统科学 2024-12-13 Zida Wu , Ankur Mehta

Distributed storage systems provide large-scale reliable data storage services by spreading redundancy across a large group of storage nodes. In such a large system, node failures take place on a regular basis. When a storage node breaks…

分布式、并行与集群计算 · 计算机科学 2016-03-17 Yan Wang , Xunrui Yin , Dongsheng Wei , Xin Wang , Yucheng He

Network topology and nodal dynamics are two fundamental stones of adaptive networks. Detailed and accurate knowledge of these two ingredients is crucial for understanding the evolution and mechanism of adaptive networks. In this paper, by…

物理与社会 · 物理学 2013-09-24 Jie Zhou , Gaoxi Xiao , Guanrong Chen

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

适应与自组织系统 · 物理学 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

A dynamic model for failures in biological organisms is proposed and studied both analytically and numerically. Each cell in the organism becomes dead under sufficiently strong stress, and is then allowed to be healed with some probability.…

细胞行为 · 定量生物学 2009-11-11 J. Choi , M. Y. Choi , B. -G. Yoon

We formulate the predicted-updates dynamic model, one of the first beyond-worst-case models for dynamic algorithms, which generalizes a large set of well-studied dynamic models including the offline dynamic, incremental, and decremental…

数据结构与算法 · 计算机科学 2023-11-29 Quanquan C. Liu , Vaidehi Srinivas

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

无序系统与神经网络 · 物理学 2015-06-04 Kristina Lerman , Rumi Ghosh

This paper studies epidemic processes over discrete-time periodic time-varying networks. We focus on the susceptible-infected-susceptible (SIS) model that accounts for a (possibly) mutating virus. We say that an agent is in the disease-free…

系统与控制 · 电气工程与系统科学 2020-11-18 Sebin Gracy , Philip. E. Pare , Henrik Sandberg , Karl Henrik Johansson