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Semi-supervised learning is being extensively applied to estimate classifiers from training data in which not all the labels of the feature vectors are available. We present gmmsslm, an R package for estimating the Bayes' classifier from…

Computation · Statistics 2024-04-18 Ziyang Lyu , Daniel Ahfock , Ryan Thompson , Geoffrey J. McLachlan

We address the issue of detecting changes of models that lie behind a data stream. The model refers to an integer-valued structural information such as the number of free parameters in a parametric model. Specifically we are concerned with…

Machine Learning · Computer Science 2023-02-24 Kenji Yamanishi , So Hirai

Due to the ease of modern data collection, applied statisticians often have access to a large set of covariates that they wish to relate to some observed outcome. Generalized linear models (GLMs) offer a particularly interpretable framework…

Computation · Statistics 2019-05-21 Brian L. Trippe , Jonathan H. Huggins , Raj Agrawal , Tamara Broderick

Differential Equation (DE) is a commonly used modeling method in various scientific subjects such as finance and biology. The parameters in DE models often have interesting scientific interpretations, but their values are often unknown and…

Computation · Statistics 2020-11-24 Ying Zhou , Hongqiao Wang

Anomalies are samples that significantly deviate from the rest of the data and their detection plays a major role in building machine learning models that can be reliably used in applications such as data-driven design and novelty…

Machine Learning · Statistics 2023-06-19 Amin Yousefpour , Mehdi Shishehbor , Zahra Zanjani Foumani , Ramin Bostanabad

This article introduces exact testing procedures on the mean of a Gaussian process $X$ derived from the outcomes of $\ell_1$-minimization over the space of complex valued measures. The process $X$ can be thought as the sum of two terms:…

Statistics Theory · Mathematics 2018-07-03 Jean-Marc Azaïs , Yohann De Castro , Stéphane Mourareau

Generalized linear mixed models (GLMMs) are widely used in research for their ability to model correlated outcomes with non-Gaussian conditional distributions. The proper selection of fixed and random effects is a critical part of the…

Computation · Statistics 2024-04-18 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Joseph G. Ibrahim

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

Methodology · Statistics 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

Data-driven anomaly detection methods typically build a model for the normal behavior of the target system, and score each data instance with respect to this model. A threshold is invariably needed to identify data instances with high (or…

Machine Learning · Statistics 2019-10-09 Sreelekha Guggilam , S. M. Arshad Zaidi , Varun Chandola , Abani Patra

The commonsense reasoning capabilities of vision-language models (VLMs), especially in abductive reasoning and defeasible reasoning, remain poorly understood. Most benchmarks focus on typical visual scenarios, making it difficult to discern…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Aditya Chinchure , Sahithya Ravi , Raymond Ng , Vered Shwartz , Boyang Li , Leonid Sigal

Downsampling or under-sampling is a technique that is utilized in the context of large and highly imbalanced classification models. We study optimal downsampling for imbalanced classification using generalized linear models (GLMs). We…

Machine Learning · Statistics 2025-05-20 Yan Chen , Jose Blanchet , Krzysztof Dembczynski , Laura Fee Nern , Aaron Flores

Bayesian model selection poses two main challenges: the specification of parameter priors for all models, and the computation of the resulting Bayes factors between models. There is now a large literature on automatic and objective…

Methodology · Statistics 2016-08-11 Leonhard Held , Daniel Sabanés Bové , Isaac Gravestock

This paper proposes a desparsified GMM estimator for estimating high-dimensional regression models allowing for, but not requiring, many more endogenous regressors than observations. We provide finite sample upper bounds on the estimation…

Statistics Theory · Mathematics 2019-09-11 Mehmet Caner , Anders Bredahl Kock

We propose SYRAN, an unsupervised anomaly detection method based on symbolic regression. Instead of encoding normal patterns in an opaque, high-dimensional model, our method learns an ensemble of human-readable equations that describe…

Machine Learning · Computer Science 2026-03-19 Md Maruf Hossain , Tim Katzke , Simon Klüttermann , Emmanuel Müller

Latent Gaussian models (LGMs) are perhaps the most commonly used class of models in statistical applications. Nevertheless, in areas ranging from longitudinal studies in biostatistics to geostatistics, it is easy to find datasets that…

Methodology · Statistics 2022-11-22 Rafael Cabral , David Bolin , Håvard Rue

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

Computation · Statistics 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

Model checking is essential to evaluate the adequacy of statistical models and the validity of inferences drawn from them. Particularly, hierarchical models such as latent Gaussian models (LGMs) pose unique challenges as it is difficult to…

Methodology · Statistics 2023-07-25 Rafael Cabral , David Bolin , Håvard Rue

Detecting anomalies in a temporal sequence of graphs can be applied is areas such as the detection of accidents in transport networks and cyber attacks in computer networks. Existing methods for detecting abnormal graphs can suffer from…

Machine Learning · Computer Science 2025-02-03 Sevvandi Kandanaarachchi , Conrad Sanderson , Rob J. Hyndman

Latent variable models (LVMs) represent observed variables by parameterized functions of latent variables. Prominent examples of LVMs for unsupervised learning are probabilistic PCA or probabilistic SC which both assume a weighted linear…

Machine Learning · Computer Science 2023-12-18 Hamid Mousavi , Jakob Drefs , Florian Hirschberger , Jörg Lücke

The longevity R package provides provide maximum likelihood estimation routine for modelling of survival data that are subject to non-informative censoring and truncation mechanisms. It includes a selection of 12 parametric models of…

Applications · Statistics 2023-11-17 Léo R. Belzile