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This paper introduces an innovative approach to enhance distributed cooperative learning using Gaussian process (GP) regression in multi-agent systems (MASs). The key contribution of this work is the development of an elective learning…

Machine Learning · Computer Science 2024-02-06 Zewen Yang , Xiaobing Dai , Akshat Dubey , Sandra Hirche , Georges Hattab

Inference for belief networks using Gibbs sampling produces a distribution for unobserved variables that differs from the correct distribution by a (usually) unknown error, since convergence to the right distribution occurs only…

Artificial Intelligence · Computer Science 2013-01-18 Michael Harvey , Radford M. Neal

We propose a new approach for propagating stable probability distributions through neural networks. Our method is based on local linearization, which we show to be an optimal approximation in terms of total variation distance for the ReLU…

Machine Learning · Computer Science 2024-02-14 Felix Petersen , Aashwin Mishra , Hilde Kuehne , Christian Borgelt , Oliver Deussen , Mikhail Yurochkin

Due to the intractable nature of exact lifted inference, research has recently focused on the discovery of accurate and efficient approximate inference algorithms in Statistical Relational Models (SRMs), such as Lifted First-Order Belief…

Artificial Intelligence · Computer Science 2016-07-01 David Smith , Parag Singla , Vibhav Gogate

A common divide-and-conquer approach for Bayesian computation with big data is to partition the data, perform local inference for each piece separately, and combine the results to obtain a global posterior approximation. While being…

Non linear regression models are a standard tool for modeling real phenomena, with several applications in machine learning, ecology, econometry... Estimating the parameters of the model has garnered a lot of attention during many years. We…

Statistics Theory · Mathematics 2020-09-17 Peggy Cénac , Antoine Godichon-Baggioni , Bruno Portier

Many datasets give partial information about an ordering or ranking by indicating which team won a game, which item a user prefers, or who infected whom. We define a continuous spin system whose Gibbs distribution is the posterior…

Artificial Intelligence · Computer Science 2022-06-07 George T. Cantwell , Cristopher Moore

The problem of state estimation for unobservable distribution systems is considered. A deep learning approach to Bayesian state estimation is proposed for real-time applications. The proposed technique consists of distribution learning of…

Machine Learning · Statistics 2019-02-26 Kursat Rasim Mestav , Jaime Luengo-Rozas , Lang Tong

This paper presents a new deterministic approximation technique in Bayesian networks. This method, "Expectation Propagation", unifies two previous techniques: assumed-density filtering, an extension of the Kalman filter, and loopy belief…

Artificial Intelligence · Computer Science 2013-01-14 Thomas P. Minka

This paper proposes a fully distributed robust state-estimation (D-RBSE) method that is applicable to multi-area power systems with nonlinear measurements. We extend the recently introduced bilinear formulation of state estimation problems…

Systems and Control · Computer Science 2015-08-18 Weiye Zheng , Wenchuan Wu , Antonio Gomez-Exposito , Boming Zhang

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

Optimization and Control · Mathematics 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

A classic inferential statistical problem is the goodness-of-fit (GOF) test. Such a test can be challenging when the hypothesized parametric model has an intractable likelihood and its distributional form is not available. Bayesian methods…

Machine Learning · Statistics 2023-11-13 Forough Fazeli-Asl , Michael Minyi Zhang , Lizhen Lin

The precise knowledge regarding the state of the power grid is important in order to ensure optimal and reliable grid operation. Specifically, knowing the state of the distribution grid becomes increasingly important as more renewable…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Jonatan Ostrometzky , Konstantin Berestizshevsky , Andrey Bernstein , Gil Zussman

Tensor network contraction is a fundamental computational challenge underlying quantum many-body physics, statistical mechanics, and machine learning. Belief propagation (BP) provides an efficient approximate solution, but introduces…

Distributed state estimation is examined for a sensor network tasked with reconstructing a system's state through the use of a distributed and event-triggered observer. Each agent in the sensor network employs a deep neural network (DNN) to…

Systems and Control · Electrical Eng. & Systems 2022-02-07 Federico M. Zegers , Runhan Sun , Girish Chowdhary , Warren E. Dixon

Dependent generalized extreme value (dGEV) models have attracted much attention due to the dependency structure that often appears in real datasets. To construct a dGEV model, a natural approach is to assume that some parameters in the…

Methodology · Statistics 2017-03-06 Bo Ning , Peter Bloomfield

Power System State Estimation (PSSE) has been a research area of interest for power engineers for a long period of time. Due to the intermittent nature of renewable energy sources, which are applied in the power network more than before,…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Sajjad Asefi , Sergei Parsegov , Elena Gryazina

The cluster variation method has been developed into a general theoretical framework for treating short-range correlations in many-body systems after it was first proposed by Kikuchi in 1951. On the numerical side, a message-passing…

Information Theory · Computer Science 2014-04-22 Chuang Wang , Hai-Jun Zhou

Neural network has attracted great attention for a long time and many researchers are devoted to improve the effectiveness of neural network training algorithms. Though stochastic gradient descent (SGD) and other explicit gradient-based…

Optimization and Control · Mathematics 2020-02-11 Ren Liu , Xiaoqun Zhang

In this work, with combined belief propagation (BP), mean field (MF) and expectation propagation (EP), an iterative receiver is designed for joint phase noise (PN) estimation, equalization and decoding in a coded communication system. The…

Information Theory · Computer Science 2016-09-07 Wei Wang , Zhongyong Wang , Chuanzong Zhang , Qinghua Guo , Peng Sun , Xingye Wang