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Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

Optimal experimental design is a classic topic in statistics, with many well-studied problems, applications, and solutions. The design problem we study is the placement of sensors to monitor spatiotemporal processes, explicitly accounting…

Methodology · Statistics 2026-01-05 Daniel Waxman , Fernando Llorente , Katia Lamer , Petar M. Djurić

We present general, analytic methods for Cosmological likelihood analysis and solve the "many-parameters" problem in Cosmology. Maxima are found by Newton's Method, while marginalization over nuisance parameters, and parameter errors and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 A. N. Taylor , T. D. Kitching

To probe the late evolution history of the Universe, we adopt two kinds of optimal basis systems. One of them is constructed by performing the principle component analysis (PCA) and the other is build by taking the multidimensional scaling…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-08 Chao-Jun Feng , Xin-Zhou Li

In high dimensional analysis, effects of explanatory variables on responses sometimes rely on certain exposure variables, such as time or environmental factors. In this paper, to characterize the importance of each predictor, we utilize its…

Methodology · Statistics 2018-04-11 Yeqing Zhou , Jingyuan Liu , Zhihui Hao , Liping Zhu

Neutron stars are compact and dense celestial objects that offer the unique opportunity to explore matter and its interactions under conditions that cannot be reproduced elsewhere in the Universe. Their extreme gravitational, rotational and…

High Energy Astrophysical Phenomena · Physics 2024-01-29 Stefano Ascenzi , Vanessa Graber , Nanda Rea

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

Machine Learning · Computer Science 2015-03-20 Arthur Guez , David Silver , Peter Dayan

We present an efficient, principled, and interpretable technique for inferring module assignments and for identifying the optimal number of modules in a given network. We show how several existing methods for finding modules can be…

Data Analysis, Statistics and Probability · Physics 2008-06-23 Jake M. Hofman , Chris H. Wiggins

Since the number of dark energy models have rapidly increased over the last years, some model-independent methods have been developed in order to analyse the cosmological evolution in a phenomenological way. In this manuscript, we analyse…

General Relativity and Quantum Cosmology · Physics 2016-04-28 Diego Saez-Gomez

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

Optimization and Control · Mathematics 2014-04-21 Xuchao Lin , Christos G. Cassandras

We study the setting in which a mobile agent must locate a hidden target in a bounded or unbounded environment, with no information about the hider's position. In particular, we consider online search, in which the performance of the search…

Data Structures and Algorithms · Computer Science 2020-12-01 Spyros Angelopoulos , Malachi Voss

Model-Based Diagnosis deals with the identification of the real cause of a system's malfunction based on a formal system model and observations of the system behavior. When a malfunction is detected, there is usually not enough information…

Artificial Intelligence · Computer Science 2017-11-16 Patrick Rodler , Wolfgang Schmid , Konstantin Schekotihin

In this manuscript, a general method for deriving filtering algorithms that involve a network of interconnected Bayesian filters is proposed. This method is based on the idea that the processing accomplished inside each of the Bayesian…

Statistics Theory · Mathematics 2020-04-22 Giorgio M. Vitetta , Pasquale Di Viesti , Emilio Sirignano , Francesco Montorsi

Dense image matching aims to find a correspondent for every pixel of a source image in a partially overlapping target image. State-of-the-art methods typically rely on a coarse-to-fine mechanism where a single correspondent hypothesis is…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Matthieu Vilain , Rémi Giraud , Yannick Berthoumieu , Guillaume Bourmaud

We consider a multi-agent delegation mechanism without money. In our model, given a set of agents, each agent has a fixed number of solutions which is exogenous to the mechanism, and privately sends a signal, e.g., a subset of solutions, to…

Computer Science and Game Theory · Computer Science 2023-05-23 MohammadTaghi Hajiaghayi , Keivan Rezaei , Suho Shin

We introduce a distributed, cooperative framework and method for Bayesian estimation and control in decentralized agent networks. Our framework combines joint estimation of time-varying global and local states with information-seeking…

Systems and Control · Computer Science 2015-09-24 Florian Meyer , Henk Wymeersch , Markus Fröhle , Franz Hlawatsch

Future ground-based and space-borne interferometric gravitational-wave detectors may capture between tens and thousands of binary coalescence events per year. There is a significant and growing body of work on the estimation of…

High Energy Astrophysical Phenomena · Physics 2010-04-23 Ilya Mandel

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Here we consider the communications tactics appropriate for a group of agents that need to "swarm" together in a highly adversarial environment. Specfically, whilst they need to cooperate by exchanging information with each other about…

Multiagent Systems · Computer Science 2023-04-07 Paul Kinsler , Sean Holman , Andrew Elliott , Cathryn N. Mitchell , R. Eddie Wilson

In this work, a novel distributed search-planning framework is proposed, where a dynamically varying team of autonomous agents cooperate in order to search multiple objects of interest in three-dimension (3-D). It is assumed that the agents…

Systems and Control · Electrical Eng. & Systems 2023-04-19 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou