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Active learning with strong and weak labelers considers a practical setting where we have access to both costly but accurate strong labelers and inaccurate but cheap predictions provided by weak labelers. We study this problem in the…

A model is proposed for the statistical analysis of arbitrary-strength quantum measurements, based on a picture of "sampling weak values" from different configurations of the system. The model is comprised of two elements: a "local weak…

Quantum Physics · Physics 2007-05-23 Alonso Botero

Weakly-supervised learning is a paradigm for alleviating the scarcity of labeled data by leveraging lower-quality but larger-scale supervision signals. While existing work mainly focuses on utilizing a certain type of weak supervision, we…

Machine Learning · Statistics 2019-10-11 Yivan Zhang , Nontawat Charoenphakdee , Masashi Sugiyama

We establish a consistency result by comparing two independent notions of generalised solutions to a large class of linear hyperbolic first order PDE systems with constant coefficients, showing that they eventually coincide. The first is…

Analysis of PDEs · Mathematics 2018-01-25 Nikos Katzourakis

Discrete choice models are fundamental tools in management science, economics, and marketing for understanding and predicting decision-making. Logit-based models are dominant in applied work, largely due to their convenient closed-form…

Methodology · Statistics 2026-04-06 Easton Huch , Michael Keane

We study semiparametric varying-coefficient partially linear models when some linear covariates are not observed, but ancillary variables are available. Semiparametric profile least-square based estimation procedures are developed for…

Statistics Theory · Mathematics 2009-03-04 Yong Zhou , Hua Liang

The weak-to-strong generalization phenomenon is the driver for important machine learning applications including highly data-efficient learning and, most recently, performing superalignment. While decades of research have resulted in…

Machine Learning · Computer Science 2025-03-05 Changho Shin , John Cooper , Frederic Sala

The method of multivariable Mendelian randomization uses genetic variants to instrument multiple exposures, to estimate the effect that a given exposure has on an outcome conditional on all other exposures included in a linear model.…

Methodology · Statistics 2024-08-20 Ashish Patel , James Lane , Stephen Burgess

It is frequently of interest to jointly analyze two paired sequences of multiple tests. This paper studies the problem of detecting whether there are more pairs of tests that are significant in both sequences than would be expected by…

Methodology · Statistics 2017-06-26 Sihai Dave Zhao , T. Tony Cai , Hongzhe Li

Weak-to-strong alignment offers a promising route to scalable supervision, but it can fail when a strong model becomes confidently wrong on examples that lie in the weak teacher's blind spots. Understanding such failures requires going…

Artificial Intelligence · Computer Science 2026-04-29 Hamid Osooli , Kareema Batool , Rick Gentry , Tiasa Singha Roy , Ashwin Gupta , Anirudha Ramesh

Estimating population quantities such as mean outcomes from user feedback is fundamental to platform evaluation and social science, yet feedback is often missing not at random (MNAR): users with stronger opinions are more likely to respond,…

Machine Learning · Statistics 2026-02-19 Hongyu Chen , David Simchi-Levi , Ruoxuan Xiong

We consider novelty detection in time series with unknown and nonparametric probability structures. A deep learning approach is proposed to causally extract an innovations sequence consisting of novelty samples statistically independent of…

Machine Learning · Computer Science 2022-10-25 Xinyi Wang , Mei-jen Lee , Qing Zhao , Lang Tong

Conjoint analysis is a popular experimental design used to measure multidimensional preferences. Researchers examine how varying a factor of interest, while controlling for other relevant factors, influences decision-making. Currently,…

Methodology · Statistics 2024-11-20 Dae Woong Ham , Kosuke Imai , Lucas Janson

In many security and healthcare systems, the detection and diagnosis systems use a sequence of sensors/tests. Each test outputs a prediction of the latent state and carries an inherent cost. However, the correctness of the predictions…

Machine Learning · Computer Science 2019-03-05 Arun Verma , Manjesh K. Hanawal , Csaba Szepesvári , Venkatesh Saligrama

The problem of identifying the most discriminating features when performing supervised learning has been extensively investigated. In particular, several methods for variable selection in model-based classification have been proposed.…

Applications · Statistics 2020-12-16 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy

Machine learning models are usually evaluated according to the average case performance on the test set. However, this is not always ideal, because in some sensitive domains (e.g. autonomous driving), it is the worst case performance that…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Michelle Shu , Chenxi Liu , Weichao Qiu , Alan Yuille

A {\it weak selection} on $\mathbb{R}$ is a function $f: [\mathbb{R}]^2 \to \mathbb{R}$ such that $f(\{x,y\}) \in \{x,y\}$ for each $\{x,y\} \in [\mathbb{R}]^2$. In this article, we continue with the study (which was initiated in \cite{ag})…

General Topology · Mathematics 2016-08-23 S. García-Ferreira , A. H. Tomita , Y. F. Ortiz-Castillo

The log-logistic distribution is a versatile parametric family widely used across various applied fields, including survival analysis, reliability engineering, and econometrics. When estimating parameters of the log-logistic distribution,…

Statistics Theory · Mathematics 2025-03-19 A. Felipe , M. Jaenada , P. Miranda , L. Pardo

Partial-label learning is a popular weakly supervised learning setting that allows each training example to be annotated with a set of candidate labels. Previous studies on partial-label learning only focused on the classification setting…

Machine Learning · Computer Science 2023-06-16 Xin Cheng , Deng-Bao Wang , Lei Feng , Min-Ling Zhang , Bo An

Weakly Supervised Object Detection (WSOD) with only image-level annotation has recently attracted wide attention. Many existing methods ignore the inter-image relationship of instances which share similar characteristics while can certainly…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Yu Zhang , Chuang Zhu , Guoqing Yang , Siqi Chen
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