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We propose a two-step estimator for multilevel latent class analysis (LCA) with covariates. The measurement model for observed items is estimated in its first step, and in the second step covariates are added in the model, keeping the…

Methodology · Statistics 2025-01-08 Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

In exploratory factor analysis, model parameters are usually estimated by maximum likelihood method. The maximum likelihood estimate is obtained by solving a complicated multivariate algebraic equation. Since the solution to the equation is…

Statistics Theory · Mathematics 2026-01-14 Ryoya Fukasaku , Kei Hirose , Yutaro Kabata , Keisuke Teramoto

The widespread use of machine learning algorithms calls for automatic change detection algorithms to monitor their behavior over time. As a machine learning algorithm learns from a continuous, possibly evolving, stream of data, it is…

Machine Learning · Statistics 2021-06-29 Lang Liu , Joseph Salmon , Zaid Harchaoui

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

Methodology · Statistics 2025-01-08 Siliang Zhang , Yunxiao Chen

A new empirical Bayes approach to variable selection in the context of generalized linear models is developed. The proposed algorithm scales to situations in which the number of putative explanatory variables is very large, possibly much…

Methodology · Statistics 2021-06-29 Haim Bar , James Booth , Martin T. Wells

The paper deals with generalized functional regression. The aim is to estimate the influence of covariates on observations, drawn from an exponential distribution. The link considered has a semiparametric expression: if we are interested in…

Statistics Theory · Mathematics 2013-09-20 Irène Gannaz

Cold-start is a very common and still open problem in the Recommender Systems literature. Since cold start items do not have any interaction, collaborative algorithms are not applicable. One of the main strategies is to use pure or hybrid…

Machine Learning · Computer Science 2019-07-16 Cesare Bernardis , Maurizio Ferrari Dacrema , Paolo Cremonesi

Interval-censored data are common in fields such as epidemiology and demography. When the failure event of interest is relatively rare and the collection of covariates is costly, researchers often adopt the case-cohort design to reduce…

Methodology · Statistics 2025-09-29 Yeyu Xiao , Yonghong Long

Logistic regression is a classical model for describing the probabilistic dependence of binary responses to multivariate covariates. We consider the predictive performance of the maximum likelihood estimator (MLE) for logistic regression,…

Statistics Theory · Mathematics 2026-02-20 Hugo Chardon , Matthieu Lerasle , Jaouad Mourtada

This paper presents some results on the maximum likelihood (ML) estimation from incomplete data. Finite sample properties of conditional observed information matrices are established. They possess positive definiteness and the same Loewner…

Methodology · Statistics 2022-07-26 Budhi Arta Surya

This paper introduces mixed-integer optimization methods to solve regression problems that incorporate fairness metrics. We propose an exact formulation for training fair regression models. To tackle this computationally hard problem, we…

Machine Learning · Computer Science 2024-12-24 Anna Deza , Andrés Gómez , Alper Atamtürk

We consider a variant of online convex optimization in which both the instances (input vectors) and the comparator (weight vector) are unconstrained. We exploit a natural scale invariance symmetry in our unconstrained setting: the…

Machine Learning · Computer Science 2017-08-24 Wojciech Kotłowski

Graphical models with bi-directed edges (<->) represent marginal independence: the absence of an edge between two vertices indicates that the corresponding variables are marginally independent. In this paper, we consider maximum likelihood…

Methodology · Statistics 2012-12-12 Mathias Drton , Thomas S. Richardson

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

In many practical situations we would like to estimate the covariance matrix of a set of variables from an insufficient amount of data. More specifically, if we have a set of $N$ independent, identically distributed measurements of an $M$…

Probability · Mathematics 2010-10-05 Thomas L. Marzetta , Gabriel H. Tucci , Steven H. Simon

Covariate shift, a widely used assumption in tackling {\it distributional shift} (when training and test distributions differ), focuses on scenarios where the distribution of the labels conditioned on the feature vector is the same, but the…

Machine Learning · Computer Science 2025-02-24 Deeksha Adil , Jarosław Błasiok

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…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

We introduce an algorithm which, in the context of nonlinear regression on vector-valued explanatory variables, chooses those combinations of vector components that provide best prediction. The algorithm devotes particular attention to…

Methodology · Statistics 2014-02-03 Frédéric Ferraty , Peter Hall

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

The Fisher matrix approach (Fisher 1935) allows one to calculate in advance how well a given experiment will be able to estimate model parameters, and has been an invaluable tool in experimental design. In the same spirit, we present here a…

Astrophysics · Physics 2009-01-22 A. F. Heavens , T. D. Kitching , L. Verde