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We consider a new group testing model wherein each item is a binary random variable defined by an a priori probability of being defective. We assume that each probability is small and that items are independent, but not necessarily…

Information Theory · Computer Science 2018-07-24 Tongxin Li , Chun Lam Chan , Wenhao Huang , Tarik Kaced , Sidharth Jaggi

Clinical machine learning applications are often plagued with confounders that can impact the generalizability and predictive performance of the learners. Confounding is especially problematic in remote digital health studies where the…

Transformation-based learning has been successfully employed to solve many natural language processing problems. It has many positive features, but one drawback is that it does not provide estimates of class membership probabilities. In…

Computation and Language · Computer Science 2007-05-23 Radu Florian , John C. Henderson , Grace Ngai

Causal influence measures for machine learnt classifiers shed light on the reasons behind classification, and aid in identifying influential input features and revealing their biases. However, such analyses involve evaluating the classifier…

Machine Learning · Computer Science 2018-04-10 Shayak Sen , Piotr Mardziel , Anupam Datta , Matthew Fredrikson

Math anxiety is negatively correlated with student performance and can result in avoidance of further math/STEM classes and careers. Cooperative learning (i.e., group work) is a proven strategy that can reduce math anxiety and has…

Physics and Society · Physics 2025-06-09 Matthew S. Mizuhara , Katherine Toms , Maya Williams

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

Collaborative learning has successfully applied knowledge transfer to guide a pool of small student networks towards robust local minima. However, previous approaches typically struggle with drastically aggravated student homogenization…

Machine Learning · Computer Science 2021-02-23 Shaoxiong Feng , Hongshen Chen , Xuancheng Ren , Zhuoye Ding , Kan Li , Xu Sun

The seminal work of Morgan and Rubin (2012) considers rerandomization for all the units at one time. In practice, however, experimenters may have to rerandomize units sequentially. For example, a clinician studying a rare disease may be…

Applications · Statistics 2018-04-17 Quan Zhou , Philip Ernst , Kari Lock Morgan , Donald Rubin , Anru Zhang

Randomized A/B comparisons of alternative pedagogical strategies or other course improvements could provide useful empirical evidence for instructor decision-making. However, traditional experiments do not provide a straightforward pathway…

Human-Computer Interaction · Computer Science 2024-06-10 Ilya Musabirov , Angela Zavaleta-Bernuy , Pan Chen , Michael Liut , Joseph Jay Williams

Experimentation is widely utilized for causal inference and data-driven decision-making across disciplines. In an A/B experiment, for example, an online business randomizes two different treatments (e.g., website designs) to their customers…

Methodology · Statistics 2025-01-15 Wenxuan Guo , JungHo Lee , Panos Toulis

Multivariate categorical data are common in many fields. We are motivated by election polls studies assessing evidence of changes in voters opinions with their candidates preferences in the 2016 United States Presidential primaries or…

Methodology · Statistics 2017-08-10 Massimiliano Russo , Daniele Durante , Bruno Scarpa

Many causal questions involve interactions between units, also known as interference, for example between individuals in households, students in schools, or firms in markets. In this paper, we formalize the concept of a conditioning…

Methodology · Statistics 2018-09-25 Guillaume Basse , Avi Feller , Panos Toulis

Randomized experiments are a crucial tool for causal inference in many different fields. Rerandomization addresses any covariate imbalance in such experiments by resampling treatment assignments until certain balance criteria are satisfied.…

Methodology · Statistics 2025-05-27 Jiuyao Lu , Daogao Liu , Zhanran Lin , Xiaomeng Wang

We introduce a geometrically natural probability measure on the group of all M\"obius transformations of the circle. Our aim is to study "random" groups of M\"obius transformations, and in particular random two-generator groups. By this we…

Complex Variables · Mathematics 2017-12-12 Gaven Martin , Graeme O'Brien

Peer grading systems make large courses more scalable, provide students with faster and more detailed feedback, and help students to learn by thinking critically about the work of others. A key obstacle to the broader adoption of peer…

Computer Science and Game Theory · Computer Science 2021-03-10 Hedayat Zarkoob , Hu Fu , Kevin Leyton-Brown

Randomized experiments on social networks pose statistical challenges, due to the possibility of interference between units. We propose new methods for estimating attributable treatment effects in such settings. The methods do not require…

Methodology · Statistics 2015-10-13 David S. Choi

The hypothesis of randomness is fundamental in statistical machine learning and in many areas of nonparametric statistics; it says that the observations are assumed to be independent and coming from the same unknown probability…

Probability · Mathematics 2022-02-08 Vladimir Vovk

Online controlled experiments (A/B tests) have become the gold standard for learning the impact of new product features in technology companies. Randomization enables the inference of causality from an A/B test. The randomized assignment…

Applications · Statistics 2022-12-20 Qike Li , Samir Jamkhande , Pavel Kochetkov , Pai Liu

This paper investigates social interactions in endogenous groups. We specify a two-sided many-to-one matching model, where individuals select groups based on preferences, while groups admit individuals based on qualifications until reaching…

Econometrics · Economics 2025-05-06 Shuyang Sheng , Xiaoting Sun

We propose a kernel-based partial permutation test for checking the equality of functional relationship between response and covariates among different groups. The main idea, which is intuitive and easy to implement, is to keep the…

Methodology · Statistics 2021-11-01 Xinran Li , Bo Jiang , Jun S. Liu
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