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In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

Methodology · Statistics 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

Using the framework of supersymmetric non-linear $\sigma$-model we develop a general non-perturbative characterisation of universal features of the density $\rho(\Gamma)$ of the imaginary parts (``width'') for $S$-matrix poles…

Disordered Systems and Neural Networks · Physics 2023-06-06 Yan V. Fyodorov , Mikhail A. Skvortsov , Konstantin S. Tikhonov

Motivated by the study of the metastable stochastic Ising model at subcritical temperature and in the limit of a vanishing magnetic field, we extend the notion of ($\kappa$, $\lambda$)-capacities between sets, as well as the associated…

Probability · Mathematics 2020-05-13 Alexandre Gaudilliere , A. Bianchi , P Milanesi

We present two alternative formulations for the distribution of the fluctuating two-ray (FTR) fading model, which simplify its statistical characterization and subsequent use for performance evaluation. New expressions for the probability…

Information Theory · Computer Science 2024-10-28 Maryam Olyaee , Juan M. Romero-Jerez , F. Javier Lopez-Martinez , Andrea J. Goldsmith

This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either $M$-phase-shift keying (PSK) or differential quaternary PSK with Gray coding (GC-DQPSK) modulation schemes over…

Information Theory · Computer Science 2020-09-29 Yassine Mouchtak , Faissal El Bouanani

A new method of path averaging for waves propagating in a random dilute system of identical scatterers is developed. The scattering matrix of such a system is calculated. The method systematically takes into account repeating scatterings on…

Condensed Matter · Physics 2009-10-30 V. S. Podolsky , A. A. Lisyansky

In a multiple-input-multiple-output (MIMO) communication system, the multipath fading is averaged over radio links. This well-known channel hardening phenomenon plays a central role in the design of massive MIMO systems. The aim of this…

Networking and Internet Architecture · Computer Science 2018-04-23 Matthieu Roy , Stéphane Paquelet , Luc Le Magoarou , Matthieu Crussière

The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared \eta-\mu variates, applicable to the output statistics of maximal ratio combining…

Information Theory · Computer Science 2012-10-02 Imran Shafique Ansari , Ferkan Yilmaz , Mohamed-Slim Alouini

The evaluation of integral transforms of special functions is required in different research and practical areas. Analyzing the $\kappa$-$\mu$ fading distribution also khown as the generalized Rician distribution, we find out that the…

Statistics Theory · Mathematics 2014-02-06 Natalia Y. Ermolova , Olav Tirkkonen

The complex Gaussian distribution has been widely used as a fundamental spectral and noise model in signal processing and communication. However, its Gaussian structure often limits its ability to represent the diverse amplitude…

Machine Learning · Statistics 2026-03-30 Toru Nakashika

The Lognormal distribution is a fundamental statistical model widely used in different fields of science, including biology, finance, economics, engineering, etc. In wireless communications, it is the primary statistic for large-scale…

Diffusion models form an important class of generative models today, accounting for much of the state of the art in cutting edge AI research. While numerous extensions beyond image and video generation exist, few of such approaches address…

Machine Learning · Computer Science 2025-04-30 Hao Luan , See-Kiong Ng , Chun Kai Ling

We introduce the concept of Randomly Modulated Gaussian Processes as a unifying framework for modeling, analyzing and classifying anomalous diffusion models in heterogeneous media. This formulation incorporates correlations in the…

Biological Physics · Physics 2026-03-16 Yann Lanoiselée , Denis S. Grebenkov , Gianni Pagnini

In this paper, we introduce a commutative mappings satisfying the class of generalized non-expansive mappings which is wider than the class of mappings satisfying the condition (C), so called Condition B gamma, mu. The results obtained in…

Functional Analysis · Mathematics 2022-07-11 Gezahegn Anberber Tadesse

A folded type model is developed for analyzing compositional data. The proposed model involves an extension of the $\alpha$-transformation for compositional data and provides a new and flexible class of distributions for modeling data…

Machine Learning · Statistics 2019-02-27 Michail Tsagris , Connie Stewart

Model analogies and exchange of ideas between physics or chemistry with biology or epidemiology have often involved inter-sectoral mapping of techniques. Material mechanics has benefitted hugely from such interpolations from mathematical…

Biological Physics · Physics 2022-06-06 Amit K Chattopadhyay , Bidisha Kundu , Sujit Kumar Nath , Elias C Aifantis

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

Machine Learning · Statistics 2021-10-12 K. P. Chowdhury

Quantifying uncertainty in future climate projections is hindered by the prohibitive computational cost of running physical climate models, which severely limits the availability of training data. We propose a data-efficient framework for…

Methodology · Statistics 2026-02-27 Johannes Brachem , Paul F. V. Wiemann , Matthias Katzfuss

In this work, we introduce a highly efficient algorithm to address the nonnegative matrix underapproximation (NMU) problem, i.e., nonnegative matrix factorization (NMF) with an additional underapproximation constraint. NMU results are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Mariano Tepper , Guillermo Sapiro

Non-minimally coupled curvature-matter gravity models are an interesting alternative to the Theory of General Relativity and to address the dark energy and dark matter cosmological problems. These models have complex field equations that…

General Relativity and Quantum Cosmology · Physics 2021-06-16 T. D. Ferreira , J. Novo , N. A. Silva , A. Guerreiro , O. Bertolami