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We consider the problem of sequentially testing a simple null hypothesis versus a composite alternative hypothesis that consists of a finite set of densities. We study sequential tests that are based on thresholding of mixture-based…

Statistics Theory · Mathematics 2013-01-23 Georgios Fellouris , Alexander G. Tartakovsky

In this study, we propose an innovative dynamic classification algorithm aimed at achieving zero missed detections and minimal false positives,acritical in safety-critical domains (e.g., medical diagnostics) where undetected cases risk…

Machine Learning · Computer Science 2025-06-02 Ziyuan Zhong , Junyang Zhou

There is a growing interest in the so-called Bayesian Predictive Inference approach, which allows to perform Bayesian inference without specifying the likelihood and prior of the model, or the need of any MCMC. Instead, only a sequence of…

Statistics Theory · Mathematics 2025-09-30 Marco Battiston , Lorenzo Cappello

In this paper, we introduce a novel method to generate interpretable regression function estimators. The idea is based on called data-dependent coverings. The aim is to extract from the data a covering of the feature space instead of a…

Statistics Theory · Mathematics 2021-01-27 Vincent Margot , Jean-Patrick Baudry , Frédéric Guilloux , Olivier Wintenberger

This study considers various semiparametric difference-in-differences models under different assumptions on the relation between the treatment group identifier, time and covariates for cross-sectional and panel data. The variance lower…

Econometrics · Economics 2020-08-17 Michael Zimmert

Network partitioning has gained recent attention as a pathway to enable decentralized operation and control in large-scale systems. This paper addresses the interplay between partitioning, observability, and sensor placement (SP) in dynamic…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Mohamad H. Kazma , Ahmad F. Taha

Randomness (in the sense of being generated in an IID fashion) and exchangeability are standard assumptions in nonparametric statistics and machine learning, and relations between them have been a popular topic of research. This short paper…

Statistics Theory · Mathematics 2026-01-21 Vladimir Vovk

The change-plane Cox model is a popular tool for the subgroup analysis of survival data. Despite the rich literature on this model, there has been limited investigation into the asymptotic properties of the estimators of the…

Statistics Theory · Mathematics 2023-02-14 Shota Takeishi

Machine learning models are often used to inform real world risk assessment tasks: predicting consumer default risk, predicting whether a person suffers from a serious illness, or predicting a person's risk to appear in court. Given…

Machine Learning · Computer Science 2023-06-27 Jamelle Watson-Daniels , David C. Parkes , Berk Ustun

Specialized classifiers, namely those dedicated to a subset of classes, are often adopted in real-world recognition systems. However, integrating such classifiers is nontrivial. Existing methods, e.g. weighted average, usually implicitly…

Machine Learning · Computer Science 2017-09-08 Zhizhong Li , Dahua Lin

Supervised learning, characterized by both discriminative and generative learning, seeks to predict the values of single (or sometimes multiple) predefined target attributes based on a predefined set of predictor attributes. For…

Machine Learning · Computer Science 2020-11-13 Yuan Jin , Wray Buntine , Francois Petitjean , Geoffrey I. Webb

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…

Machine Learning · Statistics 2019-10-25 Xiuming Liu , Dave Zachariah , Johan Wågberg , Thomas B. Schön

We consider the problem of complementary fashion prediction. Existing approaches focus on learning an embedding space where fashion items from different categories that are visually compatible are closer to each other. However, creating…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Ambareesh Revanur , Vijay Kumar , Deepthi Sharma

We study computational and statistical aspects of learning Latent Markov Decision Processes (LMDPs). In this model, the learner interacts with an MDP drawn at the beginning of each epoch from an unknown mixture of MDPs. To sidestep known…

Machine Learning · Computer Science 2024-06-13 Fan Chen , Constantinos Daskalakis , Noah Golowich , Alexander Rakhlin

The main purpose of this paper is to introduce and study the behavior of minimum {\phi}-divergence estimators as an alternative to the maximum likelihood estimator in latent class models for binary items. As it will become clear below,…

Methodology · Statistics 2014-06-03 Ángel Felipe , Pedro Miranda , Leandro Pardo

The output scores of a neural network classifier are converted to probabilities via normalizing over the scores of all competing categories. Computing this partition function, $Z$, is then linear in the number of categories, which is…

Machine Learning · Statistics 2015-08-10 Pushpendre Rastogi , Benjamin Van Durme

Some of the basic concepts regarding asymptotic series are reviewed. A heuristic proof is given that the divergent QCD perturbation series is asymptotic. By treating it as an asymptotic expansion we show that it makes sense to keep only the…

High Energy Physics - Phenomenology · Physics 2022-10-12 Geoffrey B. West

We establish some asymptotic expansions for infinite weighted convolutions of distributions having light subexponential tails. Examples are presented, some showing that in order to obtain an expansion with two significant terms, one needs…

Probability · Mathematics 2007-06-13 Ph. Barbe , W. P. McCormick

What sorts of structure might enable a learner to discover classes from unlabeled data? Traditional approaches rely on feature-space similarity and heroic assumptions on the data. In this paper, we introduce unsupervised learning under…

Machine Learning · Computer Science 2022-12-02 Manley Roberts , Pranav Mani , Saurabh Garg , Zachary C. Lipton

Probabilistic models based on continuous latent spaces, such as variational autoencoders, can be understood as uncountable mixture models where components depend continuously on the latent code. They have proven to be expressive tools for…

Machine Learning · Computer Science 2024-06-27 Alvaro H. C. Correia , Gennaro Gala , Erik Quaeghebeur , Cassio de Campos , Robert Peharz