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Latent Dirichlet Allocation (LDA) is a popular topic modeling technique for hidden semantic discovery of text data and serves as a fundamental tool for text analysis in various applications. However, the LDA model as well as the training…

机器学习 · 计算机科学 2020-10-12 Fangyuan Zhao , Xuebin Ren , Shusen Yang , Qing Han , Peng Zhao , Xinyu Yang

Mean-field variational inference is a method for approximate Bayesian posterior inference. It approximates a full posterior distribution with a factorized set of distributions by maximizing a lower bound on the marginal likelihood. This…

机器学习 · 计算机科学 2012-07-03 John Paisley , David Blei , Michael Jordan

Gaussian processes (GPs) are a good choice for function approximation as they are flexible, robust to over-fitting, and provide well-calibrated predictive uncertainty. Deep Gaussian processes (DGPs) are multi-layer generalisations of GPs,…

机器学习 · 统计学 2017-11-15 Hugh Salimbeni , Marc Deisenroth

Using nonparametric methods has been increasingly explored in Bayesian hierarchical modeling as a way to increase model flexibility. Although the field shows a lot of promise, inference in many models, including Hierachical Dirichlet…

机器学习 · 统计学 2015-01-19 Alexander Spangher

We introduce collapsed compilation, a novel approximate inference algorithm for discrete probabilistic graphical models. It is a collapsed sampling algorithm that incrementally selects which variable to sample next based on the partial…

人工智能 · 计算机科学 2018-06-01 Tal Friedman , Guy Van den Broeck

We propose an efficient inference method for switching nonlinear dynamical systems. The key idea is to learn an inference network which can be used as a proposal distribution for the continuous latent variables, while performing exact…

机器学习 · 计算机科学 2020-02-12 Zhe Dong , Bryan A. Seybold , Kevin P. Murphy , Hung H. Bui

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

统计方法学 · 统计学 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi

We propose an empirical Bayes estimator based on Dirichlet process mixture model for estimating the sparse normalized mean difference, which could be directly applied to the high dimensional linear classification. In theory, we build a…

机器学习 · 统计学 2017-02-17 Yunbo Ouyang , Feng Liang

Advances in variational inference enable parameterisation of probabilistic models by deep neural networks. This combines the statistical transparency of the probabilistic modelling framework with the representational power of deep learning.…

计算与语言 · 计算机科学 2020-05-05 Tom Pelsmaeker , Wilker Aziz

The article develops a hybrid Variational Bayes algorithm that combines the mean-field and fixed-form Variational Bayes methods. The new estimation algorithm can be used to approximate any posterior without relying on conjugate priors. We…

统计方法学 · 统计学 2013-08-09 David J Nott , Minh-Ngoc Tran , Anthony Y. C. Kuk , Robert Kohn

Black box variational inference allows researchers to easily prototype and evaluate an array of models. Recent advances allow such algorithms to scale to high dimensions. However, a central question remains: How to specify an expressive…

机器学习 · 统计学 2016-06-01 Rajesh Ranganath , Dustin Tran , David M. Blei

Variational inference is becoming more and more popular for approximating intractable posterior distributions in Bayesian statistics and machine learning. Meanwhile, a few recent works have provided theoretical justification and new…

统计理论 · 数学 2019-09-09 Badr-Eddine Chérief-Abdellatif

We study a new parametric approach for hidden discrete-time diffusion models. This method is based on contrast minimization and deconvolution and leads to estimate a large class of stochastic models with nonlinear drift and nonlinear…

统计理论 · 数学 2017-01-01 Salima El Kolei , Florian Pelgrin

This paper presents an algorithm for the unsupervised learning of latent variable models from unlabeled sets of data. We base our technique on spectral decomposition, providing a technique that proves to be robust both in theory and in…

机器学习 · 统计学 2017-04-05 Matteo Ruffini , Marta Casanellas , Ricard Gavaldà

Hybrid continuous-discrete models naturally represent many real-world applications in robotics, finance, and environmental engineering. Inference with large-scale models is challenging because relational structures deteriorate rapidly…

机器学习 · 计算机科学 2012-10-19 Jaesik Choi , Eyal Amir

Stochastic variational inference is an established way to carry out approximate Bayesian inference for deep models. While there have been effective proposals for good initializations for loss minimization in deep learning, far less…

机器学习 · 统计学 2019-01-28 Simone Rossi , Pietro Michiardi , Maurizio Filippone

Most of the information on the Internet is represented in the form of microtexts, which are short text snippets such as news headlines or tweets. These sources of information are abundant, and mining these data could uncover meaningful…

计算与语言 · 计算机科学 2019-09-17 Trung Trinh , Tho Quan , Trung Mai

We study parameter inference in large-scale latent variable models. We first propose an unified treatment of online inference for latent variable models from a non-canonical exponential family, and draw explicit links between several…

机器学习 · 计算机科学 2018-02-01 Christophe Dupuy , Francis Bach

This paper introduces a Laplace approximation to Bayesian inference in Dirichlet regression models, which can be used to analyze a set of variables on a simplex exhibiting skewness and heteroscedasticity, without having to transform the…

Labeled Latent Dirichlet Allocation (LLDA) is an extension of the standard unsupervised Latent Dirichlet Allocation (LDA) algorithm, to address multi-label learning tasks. Previous work has shown it to perform in par with other…

机器学习 · 统计学 2017-09-19 Yannis Papanikolaou , Grigorios Tsoumakas