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This work studies the class of algorithms for learning with side-information that emerge by extending generative models with embedded context-related variables. Using finite mixture models (FMM) as the prototypical Bayesian network, we show…

机器学习 · 统计学 2020-08-17 Serafeim Perdikis , Robert Leeb , Ricardo Chavarriaga , José del R. Millán

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

量子物理 · 物理学 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

Conditional probabilistic graphical models provide a powerful framework for structured regression in spatio-temporal datasets with complex correlation patterns. However, in real-life applications a large fraction of observations is often…

机器学习 · 计算机科学 2018-03-29 Jelena Stojanovic , Milos Jovanovic , Djordje Gligorijevic , Zoran Obradovic

Semi-Supervised Learning (SSL) is fundamentally a missing label problem, in which the label Missing Not At Random (MNAR) problem is more realistic and challenging, compared to the widely-adopted yet naive Missing Completely At Random…

计算机视觉与模式识别 · 计算机科学 2022-07-01 Xinting Hu , Yulei Niu , Chunyan Miao , Xian-Sheng Hua , Hanwang Zhang

Missing data is a ubiquitous challenge in data analysis, often leading to biased and inaccurate results. Traditional imputation methods usually assume that the missingness mechanism is missing-at-random (MAR), where the missingness is…

统计方法学 · 统计学 2026-03-30 Huiming Xie , Fei Xue , Xiao Wang

Pre-trained machine learning (ML) predictions have been increasingly used to complement incomplete data to enable downstream scientific inquiries, but their naive integration risks biased inferences. Recently, multiple methods have been…

统计方法学 · 统计学 2025-11-12 Xingran Chen , Tyler McCormick , Bhramar Mukherjee , Zhenke Wu

Commonly used methods to analyze incomplete longitudinal clinical trial data include complete case analysis (CC) and last observation carried forward (LOCF). However, such methods rest on strong assumptions, including missing completely at…

We propose Conditional Imputation GAN, an extended missing data imputation method based on Generative Adversarial Networks (GANs). The motivating use case is learning-to-rank, the cornerstone of modern search, recommendation system, and…

机器学习 · 统计学 2021-11-11 Grace Deng , Cuize Han , David S. Matteson

Semi-supervised learning methods are motivated by the availability of large datasets with unlabeled features in addition to labeled data. Unlabeled data is, however, not guaranteed to improve classification performance and has in fact been…

机器学习 · 统计学 2019-10-25 Xiuming Liu , Dave Zachariah , Johan Wågberg , Thomas B. Schön

Expectation maximization (EM) algorithm is to find maximum likelihood solution for models having latent variables. A typical example is Gaussian Mixture Model (GMM) which requires Gaussian assumption, however, natural images are highly…

机器学习 · 计算机科学 2018-12-04 Wentian Zhao , Shaojie Wang , Zhihuai Xie , Jing Shi , Chenliang Xu

The missing data issue often complicates the task of estimating generalized linear models (GLMs). We describe why the pseudo-marginal Metropolis-Hastings algorithm, used in this setting, is an effective strategy for parameter estimation.…

统计方法学 · 统计学 2019-07-23 Taylor R. Brown , Timothy L. McMurry , Alexander Langevin

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

We propose a novel framework for incorporating unlabeled data into semi-supervised classification problems, where scenarios involving the minimization of either i) adversarially robust or ii) non-robust loss functions have been considered.…

We consider a semiparametric mixture of two univariate density functions where one of them is known while the weight and the other function are unknown. Such mixtures have a history of application to the problem of detecting differentially…

统计理论 · 数学 2017-08-01 Zhou Shen , Michael Levine , Zuofeng Shang

The Expectation Maximization (EM) algorithm is widely used as an iterative modification to maximum likelihood estimation when the data is incomplete. We focus on a semi-supervised case to learn the model from labeled and unlabeled samples.…

机器学习 · 计算机科学 2023-01-26 Erixhen Sula , Lizhong Zheng

This paper presents a general and efficient framework for probabilistic inference and learning from arbitrary uncertain information. It exploits the calculation properties of finite mixture models, conjugate families and factorization. Both…

人工智能 · 计算机科学 2011-05-19 M. C. Garrido , P. E. Lopez-de-Teruel , A. Ruiz

The mixture of experts (MoE) model is a versatile framework for predictive modeling that has gained renewed interest in the age of large language models. A collection of predictive ``experts'' is learned along with a ``gating function''…

统计方法学 · 统计学 2024-10-14 Oh-Ran Kwon , Gourab Mukherjee , Jacob Bien

The presence of missing values makes supervised learning much more challenging. Indeed, previous work has shown that even when the response is a linear function of the complete data, the optimal predictor is a complex function of the…

机器学习 · 计算机科学 2020-11-05 Marine Le Morvan , Julie Josse , Thomas Moreau , Erwan Scornet , Gaël Varoquaux

Semi-Supervised Learning (SSL) is implemented when algorithms are trained on both labeled and unlabeled data. This is a very common application of ML as it is unrealistic to obtain a fully labeled dataset. Researchers have tackled three…

机器学习 · 计算机科学 2023-08-16 Jason Lu , Michael Ma , Huaze Xu , Zixi Xu

Equalisation Maximisation (EqM) is an algorithm for estimating parameters in auto-regressive (AR) models where some fraction of the data is missing. It has previously been shown that the EqM algorithm is a competitive alternative to…

统计计算 · 统计学 2013-08-22 Johan Dahlin , Fredrik Lindsten , Thomas B. Schön