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Recently the dynamics of signed networks, where the ties among the agents can be both positive (attractive) or negative (repulsive) have attracted substantial attention of the research community. Examples of such networks are models of…

Systems and Control · Computer Science 2017-03-21 Anton V. Proskurnikov , Ming Cao

Practitioners of Bayesian statistics have long depended on Markov chain Monte Carlo (MCMC) to obtain samples from intractable posterior distributions. Unfortunately, MCMC algorithms are typically serial, and do not scale to the large…

Machine Learning · Statistics 2015-06-11 Maxim Rabinovich , Elaine Angelino , Michael I. Jordan

Traditionally model averaging has been viewed as an alternative to model selection with the ultimate goal to incorporate the uncertainty associated with the model selection process in standard errors and confidence intervals by using a…

Methodology · Statistics 2021-03-05 Michael Schomaker , Christian Heumann

Distributed consensus and other linear systems with system stochastic matrices $W_k$ emerge in various settings, like opinion formation in social networks, rendezvous of robots, and distributed inference in sensor networks. The matrices…

Probability · Mathematics 2015-06-04 Dragana Bajovic , Joao Xavier , Jose M. F. Moura , Bruno Sinopoli

To devise efficient solutions for approximating a mean partition in consensus clustering, Dimitriadou et al. [3] presented a necessary condition of optimality for a consensus function based on least square distances. We show that their…

Machine Learning · Computer Science 2016-04-27 Brijnesh J. Jain

This paper investigates the distributed optimal output consensus problem of heterogeneous linear multi-agent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to…

Optimization and Control · Mathematics 2022-09-02 Jin Zhang , Lu Liu , Haibo Ji , Xinghu Wang

We propose a method for combining probabilistic outputs of classifiers to make a single consensus class prediction when no further information about the individual classifiers is available, beyond that they have been trained for the same…

Machine Learning · Computer Science 2020-09-02 Jordan F. Masakuna , Simukai W. Utete , Steve Kroon

The paper investigates the distributed estimation problem under low bit rate communications. Based on the signal-comparison (SC) consensus protocol under binary-valued communications, a new consensus+innovations type distributed estimation…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Jieming Ke , Xiaodong Lu , Yanlong Zhao , Ji-Feng Zhang

Distributed optimization algorithms have been studied extensively in the literature; however, underlying most algorithms is a linear consensus scheme, i.e. averaging variables from neighbors via doubly stochastic matrices. We consider…

Optimization and Control · Mathematics 2023-03-14 Hsu Kao , Vijay Subramanian

To model the interdependent couplings of multiple topics, we develop a set of rules for opinion updates of a group of agents. The rules are used to design or assign values to the elements of interdependent weighting matrices. The…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Hyo-Sung Ahn , Quoc Van Tran , Minh Hoang Trinh , Kevin L. Moore , Mengbin Ye , Ji Liu

Populations of mobile and communicating agents describe a vast array of technological and natural systems, ranging from sensor networks to animal groups. Here, we investigate how a group-level agreement may emerge in the continuously…

Physics and Society · Physics 2012-01-25 Andrea Baronchelli , Albert Diaz-Guilera

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

Optimization and Control · Mathematics 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

It is shown that the the popular least squares method of option pricing converges even under very general assumptions. This substantially increases the freedom of creating different implementations of the method, with varying levels of…

Computational Finance · Quantitative Finance 2015-11-18 Maciej Klimek , Marcin Pitera

The concordance probability or C-index is a popular measure to capture the discriminatory ability of a regression model. In this article, the definition of this measure is adapted to the specific needs of the frequency and severity model,…

Analysis of PDEs · Mathematics 2019-11-15 Robin Van Oirbeek , Christopher Grumiau , Tim Verdonck

This study introduces a novel technique for multi-view clustering known as the "Consensus Graph-Based Multi-View Clustering Method Using Low-Rank Non-Convex Norm" (CGMVC-NC). Multi-view clustering is a challenging task in machine learning…

Machine Learning · Computer Science 2025-11-21 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

A natural way to measure the power of a distributed-computing model is to characterize the set of tasks that can be solved in it. %the model. In general, however, the question of whether a given task can be solved in a given model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Carole Delporte-Gallet , Hugues Fauconnier , Eli Gafni , Petr Kuznetsov

In a "publish-or-perish culture", the ranking of scientific journals plays a central role in assessing performance in the current research environment. With a wide range of existing methods and approaches to deriving journal rankings,…

Applications · Statistics 2015-04-21 Laura Vana , Ronald Hochreiter , Kurt Hornik

Decisions under uncertainty or with multiple objectives usually require the decision maker to formulate a preference regarding risks or trade-offs. If this preference is known, the ordered weighted averaging (OWA) criterion can be applied…

Optimization and Control · Mathematics 2023-08-02 Werner Baak , Marc Goerigk , Michael Hartisch

This paper introduces a new multidimensional extension of the Hegselmann-Krause (HK) opinion dynamics model, where opinion proximity is not determined by a norm or metric. Instead, each agent trusts opinions within the Minkowski sum…

Multiagent Systems · Computer Science 2025-10-09 Iryna Zabarianska , Anton V. Proskurnikov

This paper systematically investigates the performance of consensus-based distributed filtering under mismatched noise covariances. First, we introduce three performance evaluation indices for such filtering problems,namely the standard…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Xiaoxu Lyu , Guanghui Wen , Ling Shi , Peihu Duan , Zhisheng Duan