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Gaussian processes are valuable tools for non-parametric modelling, where typically an assumption of stationarity is employed. While removing this assumption can improve prediction, fitting such models is challenging. In this work,…

统计计算 · 统计学 2019-05-02 Karla Monterrubio-Gómez , Lassi Roininen , Sara Wade , Theo Damoulas , Mark Girolami

Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

统计方法学 · 统计学 2024-04-02 Michele Peruzzi , David B. Dunson

Motivated by examples from genetic association studies, this paper considers the model selection problem in a general complex linear model system and in a Bayesian framework. We discuss formulating model selection problems and incorporating…

统计方法学 · 统计学 2014-03-14 Xiaoquan Wen

Multivariate data that combine binary, categorical, count and continuous outcomes are common in the social and health sciences. We propose a semiparametric Bayesian latent variable model for multivariate data of arbitrary type that does not…

应用统计 · 统计学 2014-01-14 Jonathan Gruhl , Elena A. Erosheva , Paul K. Crane

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

机器学习 · 统计学 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

宇宙学与河外天体物理 · 物理学 2020-06-03 Adam Moss

This paper develops the theory and methods for modeling a stationary count time series via Gaussian transformations. The techniques use a latent Gaussian process and a distributional transformation to construct stationary series with very…

统计方法学 · 统计学 2021-07-20 Yisu Jia , Stefanos Kechagias , James Livsey , Robert Lund , Vladas Pipiras

This paper proposes a flexible Bayesian approach to multiple imputation using conditional Gaussian mixtures. We introduce novel shrinkage priors for covariate-dependent mixing proportions in the mixture models to automatically select the…

统计方法学 · 统计学 2022-08-17 Shonosuke Sugasawa , Jae Kwang Kim , Kosuke Morikawa

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

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

统计计算 · 统计学 2010-11-15 Jason Wyse , Nial Friel

Streaming tensor factorization is a powerful tool for processing high-volume and multi-way temporal data in Internet networks, recommender systems and image/video data analysis. Existing streaming tensor factorization algorithms rely on…

机器学习 · 统计学 2019-01-01 Cole Hawkins , Zheng Zhang

Bayesian models that can handle both over and under dispersed counts are rare in the literature, perhaps because full probability distributions for dispersed counts are rather difficult to construct. This note takes a first look at Bayesian…

统计方法学 · 统计学 2020-10-08 Alan Huang , Andy Sang Il Kim

An important aspect of Bayesian model selection is how to deal with huge model spaces, since exhaustive enumeration of all the models entertained is unfeasible and inferences have to be based on the very small proportion of models visited.…

统计方法学 · 统计学 2011-01-25 Gonzalo Garcia-Donato , Miguel Angel Martinez-Beneito

This paper deals with the factor modeling for high-dimensional time series based on a dimension-reduction viewpoint. Under stationary settings, the inference is simple in the sense that both the number of factors and the factor loadings are…

统计理论 · 数学 2012-06-05 Clifford Lam , Qiwei Yao

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

应用统计 · 统计学 2022-01-07 Bohdan M. Pavlyshenko

We introduce a class of Bayesian matrix dynamic factor models that accommodates time-varying volatility, outliers, and cross-sectional correlation in the idiosyncratic components. For model comparison, we employ an importance-sampling…

计量经济学 · 经济学 2025-08-11 Wei Zhang

Inference for continuous-time Markov chains (CTMCs) becomes challenging when the process is only observed at discrete time points. The exact likelihood is intractable, and existing methods often struggle even in medium-dimensional…

统计方法学 · 统计学 2025-07-23 Tao Tang , Lachlan Astfalck , David Dunson

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

统计金融 · 定量金融 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

In this paper, the panel count data analysis for recurrent events is considered. Such analysis is useful for studying tumor or infection recurrences in both clinical trial and observational studies. A bivariate Gaussian Cox process model is…

应用统计 · 统计学 2019-02-19 Ye Liang , Yang Li , Bin Zhang

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

统计计算 · 统计学 2021-04-27 David Gunawan , Robert Kohn , David Nott