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State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several…

种群与进化 · 定量生物学 2019-09-20 Leo Polansky , Ken B. Newman , Lara Mitchell

We consider state and parameter estimation for compartmental models having both time-varying and time-invariant parameters. Though the described Bayesian computational framework is general, we look at a specific application to the…

计算工程、金融与科学 · 计算机科学 2023-11-07 Brandon Robinson , Philippe Bisaillon , Jodi D. Edwards , Tetyana Kendzerska , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

In high-throughput genetics studies, an important aim is to identify gene-environment interactions associated with the clinical outcomes. Recently, multiple marginal penalization methods have been developed and shown to be effective in…

统计方法学 · 统计学 2021-02-24 Xi Lu , Kun Fan , Jie Ren , Cen Wu

This paper presents a new Markov chain Monte Carlo method to sample from the posterior distribution of conjugate mixture models. This algorithm relies on a flexible split-merge procedure built using the particle Gibbs sampler. Contrary to…

统计计算 · 统计学 2017-05-30 Alexandre Bouchard-Côté , Arnaud Doucet , Andrew Roth

The Gibbs sampler is a particularly popular Markov chain used for learning and inference problems in Graphical Models (GMs). These tasks are computationally intractable in general, and the Gibbs sampler often suffers from slow mixing. In…

机器学习 · 计算机科学 2017-04-10 Sejun Park , Yunhun Jang , Andreas Galanis , Jinwoo Shin , Daniel Stefankovic , Eric Vigoda

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

统计方法学 · 统计学 2022-05-02 Emily C. Hector , Brian J. Reich

Among the main goals in multiple change point problems are the estimation of the number and positions of the change points, as well as the regime structure in the clusters induced by those changes. The product partition model (PPM) is a…

统计方法学 · 统计学 2021-08-11 Ricardo C. Pedroso , Rosangela H. Loschi , Fernando Andrés Quintana

We introduce a class of scalable Bayesian hierarchical models for the analysis of massive geostatistical datasets. The underlying idea combines ideas on high-dimensional geostatistics by partitioning the spatial domain and modeling the…

统计方法学 · 统计学 2020-10-09 Michele Peruzzi , Sudipto Banerjee , Andrew O. Finley

We develop efficient simulation techniques for Bayesian inference on switching GARCH models. Our contribution to existing literature is manifold. First, we discuss different multi-move sampling techniques for Markov Switching (MS) state…

统计理论 · 数学 2012-12-24 Monica Billio , Roberto Casarin , Anthony Osuntuyi

Gaussian Markov random fields (GMRFs) are popular for modeling dependence in large areal datasets due to their ease of interpretation and computational convenience afforded by the sparse precision matrices needed for random variable…

统计计算 · 统计学 2019-04-16 D. Andrew Brown , Christopher S. McMahan , Stella Watson Self

Multi-state models are frequently applied for representing processes evolving through a discrete set of state. Important classes of multi-state models arise when transitions between states may depend on the time since entry into the current…

统计方法学 · 统计学 2022-02-28 Rosario Barone , Andrea Tancredi

We present a novel method in the family of particle MCMC methods that we refer to as particle Gibbs with ancestor sampling (PG-AS). Similarly to the existing PG with backward simulation (PG-BS) procedure, we use backward sampling to…

统计计算 · 统计学 2014-09-17 Fredrik Lindsten , Michael I. Jordan , Thomas B. Schön

State space models (SSMs) are a flexible approach to modeling complex time series. However, inference in SSMs is often computationally prohibitive for long time series. Stochastic gradient MCMC (SGMCMC) is a popular method for scalable…

机器学习 · 统计学 2019-07-11 Christopher Aicher , Yi-An Ma , Nicholas J. Foti , Emily B. Fox

Additive regression trees are flexible non-parametric models and popular off-the-shelf tools for real-world non-linear regression. In application domains, such as bioinformatics, where there is also demand for probabilistic predictions with…

机器学习 · 统计学 2015-02-17 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

Gibbs sampling is a workhorse for Bayesian inference but has several limitations when used for parameter estimation, and is often much slower than non-sampling inference methods. SAME (State Augmentation for Marginal Estimation)…

机器学习 · 计算机科学 2014-09-19 Huasha Zhao , Biye Jiang , John Canny

Recently, Andrieu, Doucet and Holenstein (2010) introduced a general framework for using particle filters (PFs) to construct proposal kernels for Markov chain Monte Carlo (MCMC) methods. This framework, termed Particle Markov chain Monte…

统计计算 · 统计学 2012-03-14 Fredrik Lindsten , Thomas B. Schön

This paper presents parallel-in-time state estimation methods for systems with Slow-Rate inTegrated Measurements (SRTM). Integrated measurements are common in various applications, and they appear in analysis of data resulting from…

统计计算 · 统计学 2024-10-02 Fatemeh Yaghoobi , Simo Särkkä

We describe a Bayesian framework for estimating the time-domain noise covariance of CMB observations, typically parametrized in terms of a 1/f frequency profile. This framework is based on the Gibbs sampling algorithm, which allows for…

天体物理仪器与方法 · 物理学 2015-05-30 I. K. Wehus , S. K. Næss , H. K. Eriksen

Sampling from the full posterior distribution of high-dimensional non-linear, non-Gaussian latent dynamical models presents significant computational challenges. While Particle Gibbs (also known as conditional sequential Monte Carlo) is…

统计计算 · 统计学 2025-03-05 Adrien Corenflos , Simo Särkkä

In this paper we develop a new general Bayesian methodology that simultaneously estimates parameters of interest and the marginal likelihood of the model. The proposed methodology builds on Simulated Tempering, which is a powerful algorithm…

统计计算 · 统计学 2019-06-03 Biljana Jonoska Stojkova , David A. Campbell