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In this paper, the consensus problems of the continuous-time integrator systems under noisy measurements are considered. The measurement noises, which appear when agents measure their neighbors' states, are modeled to be multiplicative. By…

Optimization and Control · Mathematics 2013-04-22 Yuan-Hua Ni , Xun Li

We present here an introduction to Brainstorming approach, that was recently proposed as a consensus meta-learning technique, and used in several practical applications in bioinformatics and chemoinformatics. The consensus learning denotes…

Machine Learning · Statistics 2016-09-08 Dariusz Plewczynski

This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Zoltan Nagy , Irinel-Constantin Morarescu , Lucian Busoniu

This paper presents uniform estimation and inference theory for a large class of nonparametric partitioning-based M-estimators. The main theoretical results include: (i) uniform consistency for convex and non-convex objective functions;…

Statistics Theory · Mathematics 2025-09-01 Matias D. Cattaneo , Yingjie Feng , Boris Shigida

Mutual information (MI) is one of the most general ways to measure relationships between random variables, but estimating this quantity for complex systems is challenging. Denoising diffusion models have recently set a new bar for density…

Machine Learning · Computer Science 2025-11-20 Longxuan Yu , Xing Shi , Xianghao Kong , Tong Jia , Greg Ver Steeg

Consensus planning is a method for coordinating decision making across complex systems and organizations, including complex supply chain optimization pipelines. It arises when large interdependent distributed agents (systems) share common…

Optimization and Control · Mathematics 2025-11-25 Alvaro Maggiar , Lee Dicker , Michael Mahoney

Consensus dynamics support decentralized machine learning for data that is distributed across a cloud compute cluster or across the internet of things. In these and other settings, one seeks to minimize the time $\tau_\epsilon$ required to…

Machine Learning · Computer Science 2020-11-04 Bao Huynh , Haimonti Dutta , Dane Taylor

In multiple importance sampling we combine samples from a finite list of proposal distributions. When those proposal distributions are used to create control variates, it is possible (Owen and Zhou, 2000) to bound the ratio of the resulting…

Computation · Statistics 2014-11-18 Hera Y. He , Art B. Owen

We study distributed convex optimization with two ubiquitous forms of coupling: consensus constraints and global affine equalities. We first design a linearized method of multipliers for the consensus optimization problem. Without…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

Distributed consensus in the Wasserstein metric space of probability measures on the real line is introduced in this work. Convergence of each agent's measure to a common measure is proven under a weak network connectivity condition. The…

Optimization and Control · Mathematics 2021-10-04 Adrian N. Bishop , Arnaud Doucet

The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $\mu\in [0,1/2]$ if…

Probability · Mathematics 2021-12-07 Hsin-Lun Li

Cluster-weighted modeling (CWM) is a mixture approach for modeling the joint probability of a response variable and a set of explanatory variables. The parameters are estimated by means of the expectation-maximization algorithm according to…

Computation · Statistics 2013-08-09 Salvatore Ingrassia , Simona C. Minotti

We propose an axiomatic approach for design and performance analysis of noisy linear consensus networks by introducing a notion of systemic performance measure. This class of measures are spectral functions of Laplacian eigenvalues of the…

Optimization and Control · Mathematics 2017-06-27 Milad Siami , Nader Motee

We study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive…

Optimization and Control · Mathematics 2018-09-24 Rafael Bailo , Mattia Bongini , José A. Carrillo , Dante Kalise

The consensus problem -- achieving agreement among a network of agents -- is a central theme in both theory and applications. Recently, this problem has been extended from Euclidean spaces to the space of probability measures, where the…

Optimization and Control · Mathematics 2025-10-01 Pilgyu Jung , Yoon Mo Jung

Robust parameter estimation in computer vision is frequently accomplished by solving the maximum consensus (MaxCon) problem. Widely used randomized methods for MaxCon, however, can only produce {random} approximate solutions, while global…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Pulak Purkait , Christopher Zach , Anders Eriksson

A Model Intercomparison Project (MIP) consists of teams who each estimate the same underlying quantity (e.g., temperature projections to the year 2070), and the spread of the estimates indicates their uncertainty. It recognizes that a…

Applications · Statistics 2022-08-03 Noel Cressie , Michael Bertolacci , Andrew Zammit-Mangion

High-centrality nodes have disproportionate influence on the behavior of a network; therefore controlling such nodes can efficiently steer the system to a desired state. Existing multiplex centrality measures typically rank nodes assuming…

Physics and Society · Physics 2019-06-10 Márton Pósfai , Niklas Braun , Brianne A. Beisner , Brenda McCowan , Raissa M. D'Souza

Counterfactual explanations (CFEs) are essential for interpreting black-box models, yet they often become invalid when models are slightly changed. Existing methods for generating robust CFEs are often limited to specific types of models,…

Machine Learning · Computer Science 2026-04-21 Marcin Kostrzewa , Maciej Zięba , Jerzy Stefanowski

In this paper, we study distributed consensus in the radio network setting. We produce new upper and lower bounds for this problem in an abstract MAC layer model that captures the key guarantees provided by most wireless MAC layers. In more…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-07 Calvin Newport