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This paper is concerned with the selection and estimation of fixed and random effects in linear mixed effects models. We propose a class of nonconcave penalized profile likelihood methods for selecting and estimating important fixed…

Statistics Theory · Mathematics 2012-11-05 Yingying Fan , Runze Li

Identifying statistical regularities in solutions to some tasks in multi-task reinforcement learning can accelerate the learning of new tasks. Skill learning offers one way of identifying these regularities by decomposing pre-collected…

Machine Learning · Computer Science 2022-12-12 Yiding Jiang , Evan Zheran Liu , Benjamin Eysenbach , Zico Kolter , Chelsea Finn

In this article, we propose a new algorithm for supervised learning methods, by which one can both capture the non-linearity in data and also find the best subset model. To produce an enhanced subset of the original variables, an ideal…

Applications · Statistics 2017-01-23 Peyman Tavallali , Marianne Razavi , Sean Brady

Variational autoencoders (VAEs) are a popular framework for modeling complex data distributions; they can be efficiently trained via variational inference by maximizing the evidence lower bound (ELBO), at the expense of a gap to the exact…

Targeted maximum likelihood estimation is a general methodology combining flexible ensemble learning and semiparametric efficiency theory in a two-step procedure for estimation of causal parameters. Proposed targeted maximum likelihood…

Methodology · Statistics 2021-06-22 Helene Charlotte Wiese Rytgaard , Frank Eriksson , Mark van der Laan

Probabilistic Latent Semantic Analysis is a novel statistical technique for the analysis of two-mode and co-occurrence data, which has applications in information retrieval and filtering, natural language processing, machine learning from…

Machine Learning · Computer Science 2013-01-30 Thomas Hofmann

Latent factor model estimation typically relies on either using domain knowledge to manually pick several observed covariates as factor proxies, or purely conducting multivariate analysis such as principal component analysis. However, the…

Methodology · Statistics 2023-01-04 Runzhe Wan , Yingying Li , Wenbin Lu , Rui Song

In the random-effects model of meta-analysis a canonical representation of the restricted likelihood function is obtained. This representation relates the mean effect and the heterogeneity variance estimation problems. An explicit form of…

Statistics Theory · Mathematics 2014-10-28 Andrew L. Rukhin

Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies and planning etc. The parametric estimation technique…

Statistics Theory · Mathematics 2019-05-09 Abhik Ghosh , Ayanendranath Basu

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

Machine Learning · Computer Science 2026-04-08 Kevin Zhang , Yixin Wang

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

Optimization and Control · Mathematics 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

Accurately predicting counterfactual user feedback is essential for building effective recommender systems. However, latent confounding bias can obscure the true causal relationship between user feedback and item exposure, ultimately…

Information Retrieval · Computer Science 2025-05-23 Jianfeng Deng , Qingfeng Chen , Debo Cheng , Jiuyong Li , Lin Liu , Shichao Zhang

In the application of the Expectation Maximization algorithm to identification of dynamical systems, internal states are typically chosen as latent variables, for simplicity. In this work, we propose a different choice of latent variables,…

Computation · Statistics 2016-08-06 Jack Umenberger , Johan Wågberg , Ian R. Manchester , Thomas B. Schön

We study a class of stochastic optimal design problems for elliptic partial differential equations in divergence form, where the coefficients represent mixtures of two conducting materials. The objective is to minimize a generalized risk…

Optimization and Control · Mathematics 2026-02-24 Amal Alphonse , Petar Kunštek , Marko Vrdoljak

We study optimal variance reduction solutions for count and ratio metrics in online controlled experiments. Our methods leverage flexible machine learning tools to incorporate covariates that are independent from the treatment but have…

Methodology · Statistics 2022-09-05 Ying Jin , Shan Ba

We propose a restricted win probability estimand for comparing treatments in a randomized trial with a time-to-event outcome. We also propose Bayesian estimators for this summary measure as well as the unrestricted win probability. Bayesian…

Methodology · Statistics 2024-11-06 Michelle Leeberg , Xianghua Luo , Thomas A. Murray

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Magne Thoresen

Independent sampling of orthogonal polynomial bases via Monte Carlo is of interest for uncertainty quantification of models, using Polynomial Chaos (PC) expansions. It is known that bounding the spectral radius of a random matrix consisting…

Statistics Theory · Mathematics 2015-06-23 Jerrad Hampton , Alireza Doostan

The use of latent variable models has shown to be a powerful tool for modeling probability distributions over sequences. In this paper, we introduce a new variational model that extends the recurrent network in two ways for the task of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Haziq Razali , Basura Fernando

The classical approach to system identification is based on stochastic assumptions about the measurement error, and provides estimates that have random nature. Worst-case identification, on the other hand, only assumes the knowledge of…

Systems and Control · Computer Science 2013-06-07 Fabrizio Dabbene , Mario Sznaier , Roberto Tempo