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Maximum likelihood constraint inference is a powerful technique for identifying unmodeled constraints that affect the behavior of a demonstrator acting under a known objective function. However, it was originally formulated only for…

Robotics · Computer Science 2021-09-13 Kaylene C. Stocking , David L. McPherson , Robert P. Matthew , Claire J. Tomlin

This paper aims at providing rigorous theoretical analysis to investigate the consensus behavior of opinion dynamics in noisy environments. It is known that the well-known Hegselmann-Krause (HK) opinion dynamics demonstrates various…

Optimization and Control · Mathematics 2016-07-12 Wei Su , Ge Chen , Yiguang Hong

In an influential paper, Levesque proposed a formal specification for analysing the correctness of program-like plans, such as conditional plans, iterative plans, and knowledge-based plans. He motivated a logical characterisation within the…

Artificial Intelligence · Computer Science 2018-09-17 Vaishak Belle

A central concept in active inference is that the internal states of a physical system parametrise probability measures over states of the external world. These can be seen as an agent's beliefs, expressed as a Bayesian prior or posterior.…

Artificial Intelligence · Computer Science 2021-12-28 Nathaniel Virgo , Martin Biehl , Simon McGregor

Eliciting a high-dimensional probability distribution from an expert via noisy judgments is notoriously challenging, yet useful for many applications, such as prior elicitation and reward modeling. We introduce a method for eliciting the…

Machine Learning · Computer Science 2024-10-17 Petrus Mikkola , Luigi Acerbi , Arto Klami

Many algorithms have been proposed in prior literature to guarantee resilient multi-agent consensus in the presence of adversarial attacks or faults. The majority of prior work present excellent results that focus on discrete-time or…

Systems and Control · Electrical Eng. & Systems 2020-03-23 James Usevitch , Dimitra Panagou

In this article, we study the long-time behavior of a finite-volume discretization for a nonlinear kinetic reaction model involving two interacting species. Building upon the seminal work of [Favre, Pirner, Schmeiser, ARMA, 2023], we extend…

Numerical Analysis · Mathematics 2025-11-18 Marianne Bessemoulin-Chatard , Tino Laidin , Thomas Rey

This paper presents a robust data-driven controller design based on the noisy input-output data without assumptions on the statistical properties of the noises. We start with the direct data-representation of system models that take…

Optimization and Control · Mathematics 2023-02-24 Chin-Yao Chang , Andrey Bernstein

In classical density (or density-functional) estimation, it is standard to assume that the underlying distribution has a density with respect to the Lebesgue measure. However, when the data distribution is a mixture of continuous and…

Methodology · Statistics 2025-08-05 Aytijhya Saha , Aaditya Ramdas

In this paper we consider the problem of finding the most probable set of events that could have led to a set of partial, noisy observations of some dynamical system. In particular, we consider the case of a dynamical system that is a…

Multiagent Systems · Computer Science 2020-05-06 Daniel Tang

The field of information retrieval often works with limited and noisy data in an attempt to classify documents into subjective categories, e.g., relevance, sentiment and controversy. We typically quantify a notion of agreement to understand…

Information Retrieval · Computer Science 2018-06-14 John Foley

A recent literature considers causal inference using noisy proxies for unobserved confounding factors. The proxies are divided into two sets that are independent conditional on the confounders. One set of proxies are `negative control…

Econometrics · Economics 2021-10-11 Ben Deaner

Modeling dynamical systems plays a crucial role in capturing and understanding complex physical phenomena. When physical models are not sufficiently accurate or hardly describable by analytical formulas, one can use generic function…

Machine Learning · Computer Science 2021-06-23 Armand Jordana , Justin Carpentier , Ludovic Righetti

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

This paper is concerned with the study of synchronization and consensus phenomena in complex networks of diffusively-coupled nodes subject to external disturbances. Specifically, we make use of stochastic Lyapunov functions to provide…

Systems and Control · Computer Science 2016-03-22 Giovanni Russo , Rovert Shorten

As historically acknowledged in the Reasoning about Actions and Change community, intuitiveness of a logical domain description cannot be fully automated. Moreover, like any other logical theory, action theories may also evolve, and thus…

Artificial Intelligence · Computer Science 2014-01-17 Ivan José Varzinczak

We consider the problem of designing almost optimal predictors for dynamical systems from a finite sequence of noisy observations and incomplete knowledge of the dynamics and the noise. We first discuss the properties of the optimal (Bayes)…

Chaotic Dynamics · Physics 2007-07-30 Marian Anghel , Ingo Steinwart

We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous and discontinuous phase transitions in a, generally,…

Statistical Mechanics · Physics 2023-10-27 Niccolò Zagli , Grigorios A. Pavliotis , Valerio Lucarini , Alexander Alecio

Decision tree induction systems are being used for knowledge acquisition in noisy domains. This paper develops a subjective Bayesian interpretation of the task tackled by these systems and the heuristic methods they use. It is argued that…

Artificial Intelligence · Computer Science 2013-04-11 Wray L. Buntine

In this paper we introduce a novel consensus mech- anism where agents of a network are able to share logical values, or Booleans, representing their local opinions on e.g. the presence of an intruder or of a fire within an indoor…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Antonio Bicchi