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We consider first and second order consensus algorithms in networks with stochastic disturbances. We quantify the deviation from consensus using the notion of network coherence, which can be expressed as an $H_2$ norm of the stochastic…

Systems and Control · Computer Science 2013-10-10 Stacy Patterson , Bassam Bamieh

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

Optimization and Control · Mathematics 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

We propose a new loss function that we call Laplacian loss, based on spatio-temporal Laplacian representation of the motion as a graph. This loss function is intended to be used in training models for motion reconstruction through 3D human…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Mansour Tchenegnon , Sylvie Gibet , Thibaut Le Naour

We study the synchronous dynamics of the Hopfield model when a random antisymmetric part is added to the otherwise symmetric synaptic matrix. We use a generating functional technique to derive analytical expressions for the order parameters…

Disordered Systems and Neural Networks · Physics 2007-05-23 Manoranjan P. Singh

In the operation of networked control systems, where multiple processes share a resource-limited and time-varying cost-sensitive network, communication delay is inevitable and primarily influenced by, first, the control systems deploying…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Mohammad H. Mamduhi , Dipankar Maity , Sandra Hirche , John S. Baras , Karl H. Johansson

The present paper is devoted to estimating the speed of convergence towards consensus for a general class of discrete-time multi-agent systems. In the systems considered here, both the topology of the interconnection graph and the weight of…

Optimization and Control · Mathematics 2020-10-02 David Angeli , Pierre-Alexandre Bliman

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

Dynamics on networks are often characterized by the second smallest eigenvalue of the Laplacian matrix of the network, which is called the spectral gap. Examples include the threshold coupling strength for synchronization and the relaxation…

Disordered Systems and Neural Networks · Physics 2010-11-01 Takamitsu Watanabe , Naoki Masuda

Graph Neural Networks (GNNs) have shown great promise in learning node embeddings for link prediction (LP). While numerous studies aim to improve the overall LP performance of GNNs, none have explored its varying performance across…

Machine Learning · Computer Science 2023-10-10 Yu Wang , Tong Zhao , Yuying Zhao , Yunchao Liu , Xueqi Cheng , Neil Shah , Tyler Derr

Multitask algorithms typically use task similarity information as a bias to speed up and improve the performance of learning processes. Tasks are learned jointly, sharing information across them, in order to construct models more accurate…

Machine Learning · Computer Science 2019-04-11 Marco Frasca , Giuliano Grossi , Giorgio Valentini

We present a series of modifications which improve upon Graph WaveNet's previously state-of-the-art performance on the METR-LA traffic prediction task. The goal of this task is to predict the future speed of traffic at each sensor in a…

Signal Processing · Electrical Eng. & Systems 2019-12-17 Sam Shleifer , Clara McCreery , Vamsi Chitters

This paper studies the continuous-time distributed optimization of a sum of convex functions over directed graphs. Contrary to what is known in the consensus literature, where the same dynamics works for both undirected and directed…

Optimization and Control · Mathematics 2015-03-20 Bahman Gharesifard , Jorge Cortes

Network topology inference is a fundamental problem in many applications of network science, such as locating the source of fake news, brain connectivity networks detection, etc. Many real-world situations suffer from a critical problem…

Applications · Statistics 2022-06-22 Yupeng Chen , Zhiguo Wang , Xiaojing Shen

We consider a graph theoretic approach to the performance and robustness of a platoon of vehicles, where each vehicle communicates with its $k$-nearest neighbors. In particular, we quantify the platoon's stability margin, robustness to…

Optimization and Control · Mathematics 2016-07-08 Mohammad Pirani , Ehsan Hashemi , John W. Simpson-Porco , Baris Fidan , Amir Khajepour

This paper proposes a spatiotemporal graph neural network-based performance prediction algorithm to address the challenge of forecasting performance fluctuations in distributed backend systems with multi-level service call structures. The…

Machine Learning · Computer Science 2025-08-12 Zhihao Xue , Yun Zi , Nia Qi , Ming Gong , Yujun Zou

We investigate the increasingly prominent task of jointly inferring multiple networks from nodal observations. While most joint inference methods assume that observations are available at all nodes, we consider the realistic and more…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

This article aims to improve the performance of networked multi-agent systems, which are common representations of cyber-physical systems. The rate of convergence to consensus of multi-agent networks is critical to ensure cohesive, rapid…

Systems and Control · Computer Science 2020-10-12 Santosh Devasia

Linear measures such as cross-correlation have been used successfully to determine time delays from the given processes. Such an analysis often precedes identifying possible causal relationships between the observed processes. The present…

Quantitative Methods · Quantitative Biology 2015-05-13 Radhakrishnan Nagarajan

In the present paper we consider Laplace deconvolution for discrete noisy data observed on the interval whose length may increase with a sample size. Although this problem arises in a variety of applications, to the best of our knowledge,…

Statistics Theory · Mathematics 2013-01-15 Felix Abramovich , Marianna Pensky , Yves Rozenholc