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Complex dynamic systems can be investigated by fitting mechanistic stochastic dynamic models to time series data. In this context, commonly used Monte Carlo inference procedures for model selection and parameter estimation quickly become…

Methodology · Statistics 2025-11-24 Jesse Wheeler , Aaron J. Abkemeier , Edward L. Ionides

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or…

Machine Learning · Statistics 2018-04-04 Abubakar Abid , James Zou

The performance of ensemble-based data assimilation techniques that estimate the state of a dynamical system from partial observations depends crucially on the prescribed uncertainty of the model dynamics and of the observations. These are…

Computation · Statistics 2021-02-24 Tadeo Javier Cocucci , Manuel Pulido , Magdalena Lucini , Pierre Tandeo

A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this paper. It relies on the application of parameter estimation-based observers, where the state observation task is…

Systems and Control · Electrical Eng. & Systems 2020-05-28 Romeo Ortega , Emmanuel Nuño , Alexei Bobtsov

We study iterative blind symbol detection for block-fading linear inter-symbol interference channels. Based on the factor graph framework, we design a joint channel estimation and detection scheme that combines the expectation maximization…

Information Theory · Computer Science 2024-08-06 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

We study asymptotic performance of distributed detection in large scale connected sensor networks. Contrasting to the canonical parallel network where a single node has access to local decisions from all other nodes, each node can only…

Information Theory · Computer Science 2018-10-16 Shengyu Zhu , Biao Chen

A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mixture distribution is proposed. Expectation-maximization…

Computation · Statistics 2014-01-16 Xiaoling Dou , Satoshi Kuriki , Gwo Dong Lin , Donald Richards

Distributed change-point detection has been a fundamental problem when performing real-time monitoring using sensor-networks. We propose a distributed detection algorithm, where each sensor only exchanges CUSUM statistic with their…

Signal Processing · Electrical Eng. & Systems 2019-01-09 Qinghua Liu , Rui Zhang , Yao Xie

An important and often overlooked aspect of particle filtering methods is the estimation of unknown static parameters. A simple approach for addressing this problem is to augment the unknown static parameters as auxiliary states that are…

Signal Processing · Electrical Eng. & Systems 2024-11-01 Xiaokun Zhao , Marija Iloska , Yousef El-Laham , Mónica F. Bugallo

This paper addresses the estimation of uncertain distributed diffusion coefficients in elliptic systems based on noisy measurements of the model output. We formulate the parameter identification problem as an infinite dimensional…

Optimization and Control · Mathematics 2015-06-11 Jeff Borggaard , Hans-Werner van Wyk

This paper considers the problem of solving a symmetric positive definite system of linear equations over a network of agents with arbitrary asynchronous interactions and membership dynamics. The latter implies that each agent is allowed to…

Systems and Control · Computer Science 2016-06-14 Jie Lu , Choon Yik Tang

The distributed filtering problem sequentially estimates a global state variable using observations from a network of local sensors with different measurement models. In this work, we introduce a novel methodology for distributed nonlinear…

Multiagent Systems · Computer Science 2023-10-31 Daniel Grange , Ricardo Baptista , Amirhossein Taghvaei , Allen Tannenbaum , Sean Phillips

In the field of complex dynamics, multistable attractors have been gaining a significant attention due to its unpredictability in occurrence and extreme sensitivity to initial conditions. Co-existing attractors are abundant in diverse…

Adaptation and Self-Organizing Systems · Physics 2024-06-12 Mousumi Roy , Swarnendu Mandal , Chittaranjan Hens , Awadhesh Prasad , N. V. Kuznetsov , Manish Dev Shrimali

In this paper we consider a network scenario in which agents can evaluate each other according to a score graph that models some physical or social interaction. The goal is to design a distributed protocol, run by the agents, allowing them…

Optimization and Control · Mathematics 2017-06-14 Francesco Sasso , Angelo Coluccia , Giuseppe Notarstefano

We investigate the problem of stabilizing an unknown networked linear system under communication constraints and adversarial disturbances. We propose the first provably stabilizing algorithm for the problem. The algorithm uses a distributed…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Jing Yu , Dimitar Ho , Adam Wierman

This paper studies an approximation method for the log-likelihood function of a nonlinear diffusion process using the bridge of the diffusion. The main result (Theorem \refthm:approx) shows that this approximation converges uniformly to the…

Statistics Theory · Mathematics 2010-01-11 Aleksandar Mijatović , Paul Schneider

In this paper, a distributed learning leader-follower consensus protocol based on Gaussian process regression for a class of nonlinear multi-agent systems with unknown dynamics is designed. We propose a distributed learning approach to…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Zewen Yang , Stefan Sosnowski , Qingchen Liu , Junjie Jiao , Armin Lederer , Sandra Hirche

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

Methodology · Statistics 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

Methodology · Statistics 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu