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Probabilistic modeling is iterative. A scientist posits a simple model, fits it to her data, refines it according to her analysis, and repeats. However, fitting complex models to large data is a bottleneck in this process. Deriving…

机器学习 · 统计学 2016-03-03 Alp Kucukelbir , Dustin Tran , Rajesh Ranganath , Andrew Gelman , David M. Blei

Complex systems such as aircraft engines, turbines, and industrial machinery often operate under dynamically changing conditions. These varying operating conditions can substantially influence degradation behavior and make prognostic…

机器学习 · 计算机科学 2026-04-14 Yuqi Su , Xiaolei Fang

Mixtures of Hidden Markov Models (MHMMs) are frequently used for clustering of sequential data. An important aspect of MHMMs, as of any clustering approach, is that they can be interpretable, allowing for novel insights to be gained from…

人工智能 · 计算机科学 2021-03-24 Negar Safinianaini , Henrik Boström

In the era of the fourth industrial revolution, it is essential to automate fault detection and diagnosis of machineries so that a warning system can be developed that will help to take an appropriate action before any catastrophic damage.…

系统与控制 · 电气工程与系统科学 2024-01-31 Abu Hanif Md. Ripon , Muhammad Ahsan Ullah , Arindam Kumar Paul , Md. Mortaza Morshed

Infrastructure deterioration poses significant challenges for asset management, yet existing approaches rely on population-averaged models that overlook equipment-specific heterogeneity. We present a novel framework that combines Bayesian…

应用统计 · 统计学 2026-05-21 Takato Yasuno

Clustering in high-dimensional settings with severe feature noise remains challenging, especially when only a small subset of dimensions is informative and the final number of clusters is not specified in advance. In such regimes, partition…

机器学习 · 统计学 2026-04-09 Wan Ping Chen

This study presents a practical approach for early fault detection in industrial pump systems using real-world sensor data from a large-scale vertical centrifugal pump operating in a demanding marine environment. Five key operational…

Bivariate causal direction identification is a fundamental and vital problem in the causal inference field. Among binary causal methods, most methods based on additive noise only use one single causal mechanism to construct a causal model.…

人工智能 · 计算机科学 2025-07-30 Saixiong Liu , Yuhua Qian , Jue Li , Honghong Cheng , Feijiang Li

Mean-field variational inference (MFVI) has been widely applied in large scale Bayesian inference. However MFVI, which assumes a product distribution on the latent variables, often leads to objective functions with many local optima, making…

统计理论 · 数学 2020-03-03 Mingzhang Yin , Y. X. Rachel Wang , Purnamrita Sarkar

Mixtures of factor analysers (MFA) models represent a popular tool for finding structure in data, particularly high-dimensional data. While in most applications the number of clusters, and especially the number of latent factors within…

统计方法学 · 统计学 2023-07-17 Margarita Grushanina , Sylvia Frühwirth-Schnatter

Linear mixed models are commonly used in analyzing stepped-wedge cluster randomized trials (SW-CRTs). A key consideration for analyzing a SW-CRT is accounting for the potentially complex correlation structure, which can be achieved by…

统计方法学 · 统计学 2024-08-21 Yongdong Ouyang , Monica Taljaard , Andrew B Forbes , Fan Li

Finite mixture models are useful in applied econometrics. They can be used to model unobserved heterogeneity, which plays major roles in labor economics, industrial organization and other fields. Mixtures are also convenient in dealing with…

计量经济学 · 经济学 2018-11-08 Yuichi Kitamura , Louise Laage

Variational inference is a scalable technique for approximate Bayesian inference. Deriving variational inference algorithms requires tedious model-specific calculations; this makes it difficult to automate. We propose an automatic…

机器学习 · 统计学 2015-06-15 Alp Kucukelbir , Rajesh Ranganath , Andrew Gelman , David M. Blei

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

机器学习 · 统计学 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

Clustering mixed-type data remains a major challenge in biomedical research to uncover clinically meaningful subgroups within heterogeneous patient populations. Most existing clustering methods impose restrictive assumptions like local…

应用统计 · 统计学 2026-04-23 Yueting Wang , Shu Wang , Jonathan G. Yabes , Chung-Chou H. Chang

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

统计方法学 · 统计学 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

Variational inference algorithms have proven successful for Bayesian analysis in large data settings, with recent advances using stochastic variational inference (SVI). However, such methods have largely been studied in independent or…

机器学习 · 统计学 2014-11-07 Nicholas J. Foti , Jason Xu , Dillon Laird , Emily B. Fox

Survival analysis is a fundamental tool for modeling time-to-event outcomes in healthcare. Recent advances have introduced flexible neural network approaches for improved predictive performance. However, most of these models do not provide…

机器学习 · 统计学 2025-09-10 Mert Ketenci , Vincent Jeanselme , Harry Reyes Nieva , Shalmali Joshi , Noémie Elhadad

Automatic differentiation variational inference (ADVI) offers fast and easy-to-use posterior approximation in multiple modern probabilistic programming languages. However, its stochastic optimizer lacks clear convergence criteria and…

机器学习 · 计算机科学 2024-04-18 Ryan Giordano , Martin Ingram , Tamara Broderick

We develop a Coordinate Ascent Variational Inference (CAVI) algorithm for Bayesian Mixed Data Sampling (MIDAS) regression with linear weight parameterizations. The model separates impact coeffcients from weighting function parameters…

机器学习 · 计算机科学 2026-02-24 Luigi Simeone
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