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We propose a Bayesian inference approach for a class of latent Markov models. These models are widely used for the analysis of longitudinal categorical data, when the interest is in studying the evolution of an individual unobservable…

统计方法学 · 统计学 2011-01-05 Francesco Bartolucci , Silvia Pandolfi

Models with intractable normalizing functions arise frequently in statistics. Common examples of such models include exponential random graph models for social networks and Markov point processes for ecology and disease modeling. Inference…

统计计算 · 统计学 2018-08-03 Jaewoo Park , Murali Haran

In this work, we focus on the stationary analysis of a specific class of continuous time Markov-modulated reflected random walks in the quarter plane with applications in the modelling of two-node Markov-modulated queueing networks with…

概率论 · 数学 2020-06-02 Ioannis Dimitriou

Undirected graphical models are widely used in statistics, physics and machine vision. However Bayesian parameter estimation for undirected models is extremely challenging, since evaluation of the posterior typically involves the…

统计计算 · 统计学 2012-03-19 Richard G. Everitt

Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principled uncertainty quantification and…

机器学习 · 统计学 2026-04-30 Albert Saiapin , Kim Batselier

In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of…

统计方法学 · 统计学 2015-07-14 Yun Yang , Surya Tokdar

When the historical data are limited, the conditional probabilities associated with the nodes of Bayesian networks are uncertain and can be empirically estimated. Second order estimation methods provide a framework for both estimating the…

机器学习 · 统计学 2022-08-09 Conrad D. Hougen , Lance M. Kaplan , Federico Cerutti , Alfred O. Hero

We propose a novel method for approximate inference in Bayesian networks (BNs). The idea is to sample data from a BN, learn a latent tree model (LTM) from the data offline, and when online, make inference with the LTM instead of the…

机器学习 · 计算机科学 2014-01-16 Yi Wang , Nevin L. Zhang , Tao Chen

The Poisson distribution arises naturally when dealing with data involving counts, and it has found many applications in inverse problems and imaging. In this work, we develop an approximate Bayesian inference technique based on expectation…

数值分析 · 数学 2019-09-04 Chen Zhang , Simon Arridge , Bangti Jin

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

机器学习 · 计算机科学 2019-04-03 Konstantin Posch , Jürgen Pilz

The implementation of Bayesian predictive procedures under standard normal models is considered. Two distributions are of particular interest, the K-prime and K-square distributions. They also give exact inferences for simple and multiple…

统计方法学 · 统计学 2020-07-17 Jacques Poitevineau , Bruno Lecoutre

In this survey we present an extensive research of the vast literature about the Generalized Lambda Distribution (GLD) and propose a hurdle, or two-way, model whose associated distribution is the GLD in order to meet the demand for a highly…

应用统计 · 统计学 2019-01-04 Diego Marcondes , Cláudia Peixoto , Ana Carolina Maia

Probabilistic Latent Tensor Factorization (PLTF) is a recently proposed probabilistic framework for modelling multi-way data. Not only the common tensor factorization models but also any arbitrary tensor factorization structure can be…

统计计算 · 统计学 2014-09-30 Beyza Ermis , Y. Kenan Yılmaz , A. Taylan Cemgil , Evrim Acar

Max-Linear Bayesian Networks (MLBNs) provide a powerful framework for causal inference in extreme-value settings; we consider MLBNs with noise parameters with a given topology in terms of the max-plus algebra by taking its logarithm. Then,…

机器学习 · 统计学 2025-05-02 Mark Adams , Kamillo Ferry , Ruriko Yoshida

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

机器学习 · 统计学 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

In this paper, we propose a nonparametric Bayesian approach for Lindsey and penalized Gaussian mixtures methods. We compare these methods with the Dirichlet process mixture model. Our approach is a Bayesian nonparametric method not based…

统计方法学 · 统计学 2020-11-30 Adel Bedoui , Ori Rosen

In this paper, we analyze how well a machine can solve a general problem in queueing theory. To answer this question, we use a deep learning model to predict the stationary queue-length distribution of an $M/G/1$ queue (Poisson arrivals,…

机器学习 · 计算机科学 2022-02-04 Eliran Sherzer , Arik Senderovich , Opher Baron , Dmitry Krass

A performance prediction method for massively parallel computation is proposed. The method is based on performance modeling and Bayesian inference to predict elapsed time T as a function of the number of used nodes P (T=T(P)). The focus is…

数值分析 · 数学 2022-03-17 Hisashi Kohashi , Harumichi Iwamoto , Takeshi Fukaya , Yusaku Yamamoto , Takeo Hoshi

The double Pareto distribution is a heavy-tailed distribution with a power-law tail, that is generated via geometric Brownian motion with an exponentially distributed observation time. In this study, we examine a modified model wherein the…

统计力学 · 物理学 2024-04-30 Ken Yamamoto , Takashi Bando , Hirokazu Yanagawa , Yoshihiro Yamazaki

This paper introduces a new methodology to analyse bipartite and unipartite networks with nonnegative edge values. The proposed approach combines and adapts a number of ideas from the literature on latent variable network models. The…

统计方法学 · 统计学 2018-08-29 Riccardo Rastelli