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The latent block model is used to simultaneously rank the rows and columns of a matrix to reveal a block structure. The algorithms used for estimation are often time consuming. However, recent work shows that the log-likelihood ratios are…

统计理论 · 数学 2023-03-10 Vincent Brault , Antoine Channarond

Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

统计计算 · 统计学 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Recent work has suggested using Monte Carlo methods based on piecewise deterministic Markov processes (PDMPs) to sample from target distributions of interest. PDMPs are non-reversible continuous-time processes endowed with momentum, and…

机器学习 · 统计学 2024-06-28 Paul Fearnhead , Sebastiano Grazzi , Chris Nemeth , Gareth O. Roberts

The inferential models (IM) framework provides prior-free, frequency-calibrated, posterior probabilistic inference. The key is the use of random sets to predict unobservable auxiliary variables connected to the observable data and unknown…

统计理论 · 数学 2016-01-26 Ryan Martin , Chuanhai Liu

Gaussian latent variable models are a key class of Bayesian hierarchical models with applications in many fields. Performing Bayesian inference on such models can be challenging as Markov chain Monte Carlo algorithms struggle with the…

统计计算 · 统计学 2020-11-09 Charles C. Margossian , Aki Vehtari , Daniel Simpson , Raj Agrawal

Probabilistic programming languages can simplify the development of machine learning techniques, but only if inference is sufficiently scalable. Unfortunately, Bayesian parameter estimation for highly coupled models such as regressions and…

机器学习 · 统计学 2015-03-10 Yutian Chen , Vikash Mansinghka , Zoubin Ghahramani

Stochastic Differential Equations (SDEs) are used as statistical models in many disciplines. However, intractable likelihood functions for SDEs make inference challenging, and we need to resort to simulation-based techniques to estimate and…

统计方法学 · 统计学 2014-08-12 Grant Schneider , Peter F. Craigmile , Radu Herbei

We study Bayesian inference methods for solving linear inverse problems, focusing on hierarchical formulations where the prior or the likelihood function depend on unspecified hyperparameters. In practice, these hyperparameters are often…

数值分析 · 数学 2018-08-01 Qingping Zhou , Wenqing Liu , Jinglai Li , Youssef M. Marzouk

Computation of the marginal likelihood from a simulated posterior distribution is central to Bayesian model selection but is computationally difficult. I argue that the marginal likelihood can be reliably computed from a posterior sample by…

天体物理仪器与方法 · 物理学 2010-06-24 Martin D. Weinberg

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

统计计算 · 统计学 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

统计方法学 · 统计学 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

Semi-supervised learning by self-training heavily relies on pseudo-label selection (PLS). The selection often depends on the initial model fit on labeled data. Early overfitting might thus be propagated to the final model by selecting…

机器学习 · 统计学 2023-06-27 Julian Rodemann , Jann Goschenhofer , Emilio Dorigatti , Thomas Nagler , Thomas Augustin

Approximate Bayesian computation (ABC) methods can be used to sample from posterior distributions when the likelihood function is unavailable or intractable, as is often the case in biological systems. ABC methods suffer from inefficient…

机器学习 · 统计学 2019-12-03 Charlie Rogers-Smith , Henri Pesonen , Samuel Kaski

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

统计方法学 · 统计学 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

In this work we study systems consisting of a group of moving particles. In such systems, often some important parameters are unknown and have to be estimated from observed data. Such parameter estimation problems can often be solved via a…

应用统计 · 统计学 2023-07-11 Chen Cheng , Linjie Wen , Jinglai Li

We consider the problem of simulating loss probabilities and conditional excesses for linear asset portfolios under the t-copula model. Although in the literature on market risk management there are papers proposing efficient variance…

风险管理 · 定量金融 2017-08-07 Halis Sak , İsmail Başoğlu

Partial Bayesian neural networks (pBNNs) have been shown to perform competitively with fully Bayesian neural networks while only having a subset of the parameters be stochastic. Using sequential Monte Carlo (SMC) samplers as the inference…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Simon Maskell , Zheng Zhao

The asymptotic variance of the maximum likelihood estimate is proved to decrease when the maximization is restricted to a subspace that contains the true parameter value. Maximum likelihood estimation allows a systematic fitting of…

统计理论 · 数学 2018-01-31 Marie Turčičová , Jan Mandel , Kryštof Eben

In the following article we consider approximate Bayesian parameter inference for observation driven time series models. Such statistical models appear in a wide variety of applications, including econometrics and applied mathematics. This…

统计计算 · 统计学 2013-04-01 Ajay Jasra , Nikolas Kantas , Elena Ehrlich

Two major ideas in the analysis of missing data are (a) the EM algorithm [Dempster, Laird and Rubin, J. Roy. Statist. Soc. Ser. B 39 (1977) 1--38] for maximum likelihood (ML) estimation, and (b) the formulation of models for the joint…

统计方法学 · 统计学 2011-04-14 Yan Zhou , Roderick J. A. Little , John D. Kalbfleisch