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Variational Bayes (VB) applied to latent Dirichlet allocation (LDA) has become the most popular algorithm for aspect modeling. While sufficiently successful in text topic extraction from large corpora, VB is less successful in identifying…

机器学习 · 计算机科学 2022-08-22 Rebecca M. C. Taylor , Johan A. du Preez

Variational inference (VI) is a popular method for approximating intractable posterior distributions in Bayesian inference and probabilistic machine learning. In this paper, we introduce a general framework for quantifying the statistical…

统计理论 · 数学 2025-07-18 Chenyang Zhong , Sumit Mukherjee , Bodhisattva Sen

The Hawkes process (HP) has been widely applied to modeling self-exciting events including neuron spikes, earthquakes and tweets. To avoid designing parametric triggering kernel and to be able to quantify the prediction confidence, the…

机器学习 · 计算机科学 2021-02-05 Rui Zhang , Christian Walder , Marian-Andrei Rizoiu

We propose a novel interpretation of the collapsed variational Bayes inference with a zero-order Taylor expansion approximation, called CVB0 inference, for latent Dirichlet allocation (LDA). We clarify the properties of the CVB0 inference…

机器学习 · 计算机科学 2012-07-03 Issei Sato , Hiroshi Nakagawa

In this paper, we investigate diagonal estimation for large or implicit matrices, aiming to develop a novel and efficient stochastic algorithm that incorporates adaptive parameter selection. We explore the influence of different eigenvalue…

机器学习 · 统计学 2024-10-16 Zongyuan Han , Wenhao Li , Shengxin Zhu

Posterior computation in hierarchical Dirichlet process (HDP) mixture models is an active area of research in nonparametric Bayes inference of grouped data. Existing literature almost exclusively focuses on the Chinese restaurant franchise…

统计计算 · 统计学 2024-08-06 Snigdha Das , Yabo Niu , Yang Ni , Bani K. Mallick , Debdeep Pati

Latent Dirichlet Allocation (LDA) is a popular topic modeling technique for discovery of hidden semantic architecture of text datasets, and plays a fundamental role in many machine learning applications. However, like many other machine…

机器学习 · 计算机科学 2019-07-02 Fangyuan Zhao , Xuebin Ren , Shusen Yang , Xinyu Yang

Probabilistic topic models such as latent Dirichlet allocation (LDA) are popularly used with Bayesian inference methods such as Gibbs sampling to learn posterior distributions over topic model parameters. We derive a novel measure of LDA…

计算与语言 · 计算机科学 2019-09-17 Linzi Xing , Michael J. Paul , Giuseppe Carenini

This paper proposes a variational Bayes algorithm for computationally efficient posterior and predictive inference in time-varying parameter (TVP) models. Within this context we specify a new dynamic variable/model selection strategy for…

统计计算 · 统计学 2021-12-23 Gary Koop , Dimitris Korobilis

Recently, probabilistic predictive coding that directly models the conditional distribution of latent features across successive frames for temporal redundancy removal has yielded promising results. Existing methods using a single-scale…

图像与视频处理 · 电气工程与系统科学 2023-12-13 Ming Lu , Zhihao Duan , Fengqing Zhu , Zhan Ma

Regression models with both high-dimensional responses and covariates have attracted growing attention. Standard multivariate regression models become inadequate when the response variables depend not only on observed covariates but also on…

统计方法学 · 统计学 2026-05-01 Jing Ouyang , Chengyu Cui , Yunxiao Chen , Kean Ming Tan , Gongjun Xu

Bayesian neural networks (BNNs) provide a formalism to quantify and calibrate uncertainty in deep learning. Current inference approaches for BNNs often resort to few-sample estimation for scalability, which can harm predictive performance,…

机器学习 · 计算机科学 2024-02-14 Zhe Zeng , Guy Van den Broeck

In stochastic variational inference, the variational Bayes objective function is optimized using stochastic gradient approximation, where gradients computed on small random subsets of data are used to approximate the true gradient over the…

统计方法学 · 统计学 2015-10-19 Linda S. L. Tan , David J. Nott

This paper considers the estimation and inference of the low-rank components in high-dimensional matrix-variate factor models, where each dimension of the matrix-variates ($p \times q$) is comparable to or greater than the number of…

统计理论 · 数学 2022-10-20 Elynn Y. Chen , Jianqing Fan

Software defect prediction heavily relies on the metrics collected from software projects. Earlier studies often used machine learning techniques to build, validate, and improve bug prediction models using either a set of metrics collected…

软件工程 · 计算机科学 2021-05-03 Hadi Jahanshahi , Mucahit Cevik , Ayşe Başar

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

机器学习 · 计算机科学 2016-06-13 Furong Huang

It is challenging to develop stochastic gradient based scalable inference for deep discrete latent variable models (LVMs), due to the difficulties in not only computing the gradients, but also adapting the step sizes to different latent…

机器学习 · 统计学 2017-06-07 Yulai Cong , Bo Chen , Hongwei Liu , Mingyuan Zhou

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

机器学习 · 计算机科学 2015-06-16 Siqi Nie , Qiang Ji

Deep kernel learning combines the non-parametric flexibility of kernel methods with the inductive biases of deep learning architectures. We propose a novel deep kernel learning model and stochastic variational inference procedure which…

机器学习 · 统计学 2016-11-03 Andrew Gordon Wilson , Zhiting Hu , Ruslan Salakhutdinov , Eric P. Xing

In this paper, a sparsity-aware adaptive algorithm for distributed learning in diffusion networks is developed. The algorithm follows the set-theoretic estimation rationale. At each time instance and at each node of the network, a closed…

信息论 · 计算机科学 2015-06-03 Symeon Chouvardas , Konstantinos Slavakis , Yannis Kopsinis , Sergios Theodoridis