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In the mixture modeling frame, this paper presents the polynomial Gaussian cluster-weighted model (CWM). It extends the linear Gaussian CWM, for bivariate data, in a twofold way. Firstly, it allows for possible nonlinear dependencies in the…

Methodology · Statistics 2012-07-05 Antonio Punzo

Gibbs measures, such as Coulomb gases, are popular in modelling systems of interacting particles. Recently, we proposed to use Gibbs measures as randomized numerical integration algorithms with respect to a target measure $\pi$ on $\mathbb…

Machine Learning · Computer Science 2025-08-05 Rémi Bardenet , Mylène Maïda , Martin Rouault

Integration against a probability distribution given its unnormalized density is a central task in Bayesian inference and other fields. We introduce new methods for approximating such expectations with a small set of weighted samples --…

Machine Learning · Statistics 2026-05-15 Ayoub Belhadji , Daniel Sharp , Youssef M. Marzouk

Motivated by the need, in some Bayesian likelihood free inference problems, of imputing a multivariate counting distribution based on its vector of means and variance-covariance matrix, we define a generic multivariate discrete…

Applications · Statistics 2011-03-28 Marcos Capistrán , J. Andrés Christen

The generalized labeled multi-Bernoulli (GLMB) is a family of tractable models that alleviates the limitations of the Poisson family in dynamic Bayesian inference of point processes. In this paper, we derive closed form expressions for the…

Computation · Statistics 2015-10-20 Michael Beard , Ba-Tuong Vo , Ba-Ngu Vo , Sanjeev Arulampalam

In this paper, we present an analytical framework to derive the performance of a molecular communication system where a transmitter bio-nano-machine (TBN) is communicating with a fully-absorbing spherical receiver bio-nano-machine (RBN) in…

Information Theory · Computer Science 2020-04-07 Nithin V. Sabu , Abhishek K. Gupta

This paper considers the problem of binary distributed detection of a known signal in correlated Gaussian sensing noise in a wireless sensor network, where the sensors are restricted to use likelihood ratio test (LRT), and communicate with…

Information Theory · Computer Science 2016-01-20 Nahal Maleki , Azadeh Vosoughi , Nazanin Rahnavard

We introduce and study a simple Markovian model of random separable permutations. Our first main result is the almost sure convergence of these permutations towards a random limiting object in the sense of permutons, which we call the…

Probability · Mathematics 2024-01-18 Valentin Féray , Kelvin Rivera-Lopez

Statistical dependencies between information sources are rarely known, yet in practical distributed tracking schemes, they must be taken into account in order to prevent track divergences. Chernoff fusion is well-known and universally…

Signal Processing · Electrical Eng. & Systems 2024-10-31 Zhijin Chen , Branko Ristic , Du Yong Kim

Diffusion through semipermeable interfaces has a wide range of applications, ranging from molecular transport through biological membranes to reverse osmosis for water purification using artificial membranes. At the single-particle level,…

Statistical Mechanics · Physics 2023-01-25 Paul C Bressloff

Multimodal medical image fusion plays an instrumental role in several areas of medical image processing, particularly in disease recognition and tumor detection. Traditional fusion methods tend to process each modality independently before…

Image and Video Processing · Electrical Eng. & Systems 2023-10-11 Lin Liu , Xinxin Fan , Chulong Zhang , Jingjing Dai , Yaoqin Xie , Xiaokun Liang

In this paper, we consider the filtering problem for partially observed diffusions, which are regularly observed at discrete times. We are concerned with the case when one must resort to time-discretization of the diffusion process if the…

Numerical Analysis · Mathematics 2020-04-09 Marco Ballesio , Ajay Jasra , Erik von Schwerin , Raul Tempone

In this paper, an alternative mixed Poisson distribution is proposed by amalgamating Poisson distribution and a modification of the Quasi Lindley distribution. Some fundamental structural properties of the new distribution, namely the shape…

Methodology · Statistics 2021-10-26 Ramajeyam Tharshan , Pushpakanthie Wijekoon

Distributed detection fusion with high-dimension conditionally dependent observations is known to be a challenging problem. When a fusion rule is fixed, this paper attempts to make progress on this problem for the large sensor networks by…

Information Theory · Computer Science 2016-05-03 Hang Rao , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

We formulate a general prescription for spurion analysis in particle-physics models whose selection rules are described by commutative non-invertible fusion algebras. The construction applies to fusion algebras containing non-invertible…

High Energy Physics - Phenomenology · Physics 2026-04-13 Ling-Xiao Xu

In a mean-field description of superfluidity, particle number and gauge angle are treated as quasi-classical conjugated variables. This level of description was recently used to describe nuclear reactions around the Coulomb barrier.…

Nuclear Theory · Physics 2018-04-04 David Regnier , Denis Lacroix , Guillaume Scamps , Yukio Hashimoto

While the point-centred quarter method (PCQM) is widely used for density estimation, existing methods for handling right-censored data from truncated search radii rely primarily on a Poisson model assuming complete spatial randomness (CSR),…

Methodology · Statistics 2026-05-28 Wenzhe Huang , Guochun Shen , Dingliang Xing , Jiangyan Zhao

This paper introduces the multivariate beta mixture model (MBMM), a new probabilistic model for soft clustering. MBMM adapts to diverse cluster shapes because of the flexible probability density function of the multivariate beta…

Machine Learning · Computer Science 2024-02-22 Yung-Peng Hsu , Hung-Hsuan Chen

We show the emergence of a strongly interacting Bose-Fermi mixture from a two-component Fermi mixture with population imbalance. By analyzing in situ density profiles of $^6$Li atoms in the BCS-BEC crossover regime we identify a critical…

Statistical Mechanics · Physics 2009-11-13 Yong-il Shin , André Schirotzek , Christian H. Schunck , Wolfgang Ketterle

In this paper, we consider a new framework for particle filtering under model uncertainty that operates beyond the scope of Markovian switching systems. Specifically, we develop a novel particle filtering algorithm that applies to general…

Computation · Statistics 2020-09-11 Yousef El-Laham , Liu Yang , Petar M. Djuric , Monica F. Bugallo