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Sundararajan and Chakraborty (2007) introduced a new sorting algorithm by modifying the fast and popular Quick sort and removing the interchanges. In a subsequent empirical study, Sourabh, Sundararajan and Chakraborty (2007) demonstrated…

Computation · Statistics 2012-02-28 Prashant Kumar , Anchala Kumari , Soubhik Chakraborty

Two commonly used methods for improving precision and power in clinical trials are stratified randomization and covariate adjustment. However, many trials do not fully capitalize on the combined precision gains from these two methods, which…

I study the minimax-optimal design for a two-arm controlled experiment where conditional mean outcomes may vary in a given set. When this set is permutation symmetric, the optimal design is complete randomization, and using a single…

Methodology · Statistics 2020-05-08 Nathan Kallus

While split conformal prediction guarantees marginal coverage, approaching the stronger property of conditional coverage is essential for reliable uncertainty quantification. Naive conformal scores, however, suffer from poor conditional…

Machine Learning · Statistics 2026-05-08 Sacha Braun , Eugène Berta , Michael I. Jordan , Francis Bach

Generalization methods offer a powerful solution to one of the key drawbacks of randomized controlled trials (RCTs): their limited representativeness. By enabling the transport of treatment effect estimates to target populations subject to…

Methodology · Statistics 2025-05-20 Ahmed Boughdiri , Clément Berenfeld , Julie Josse , Erwan Scornet

We present a randomization-based inferential framework for experiments characterized by a strongly ignorable assignment mechanism where units have independent probabilities of receiving treatment. Previous works on randomization tests often…

Methodology · Statistics 2019-02-01 Zach Branson , Marie-Abele Bind

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

Methodology · Statistics 2016-09-06 Yi-Hui Zhou

In the conventional regression-discontinuity (RD) design, the probability that units receive a treatment changes discontinuously as a function of one covariate exceeding a threshold or cutoff point. This paper studies an extended RD design…

Econometrics · Economics 2025-10-13 Eugenio Felipe Merlano

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

Rerandomization is an effective treatment allocation procedure to control for baseline covariate imbalance. For estimating the average treatment effect, rerandomization has been previously shown to improve the precision of the unadjusted…

Methodology · Statistics 2026-05-18 Bingkai Wang , Fan Li

Longitudinal studies of a binary outcome are common in the health, social, and behavioral sciences. In general, a feature of random effects logistic regression models for longitudinal binary data is that the marginal functional form, when…

We study sorting of permutations by random swaps if each comparison gives the wrong result with some fixed probability $p<1/2$. We use this process as prototype for the behaviour of randomized, comparison-based optimization heuristics in…

Neural and Evolutionary Computing · Computer Science 2018-03-14 Tomáš Gavenčiak , Barbara Geissmann , Johannes Lengler

This paper argues that the ideas underlying the renormalization group technique used to characterize phase transitions in condensed matter systems could be useful for distinguishing computational complexity classes. The paper presents a…

Computational Complexity · Computer Science 2007-05-23 S. N. Coppersmith

The learning from imbalanced data is a deeply studied problem in standard classification and, in recent times, also in multilabel classification. A handful of multilabel resampling methods have been proposed in late years, aiming to balance…

Machine Learning · Computer Science 2018-02-15 Francisco Charte , Antonio J. Rivera , María J. del Jesus , Francisco Herrera

We discuss the use of multivariate Granger causality in presence of redundant variables: the application of the standard analysis, in this case, leads to under-estimation of causalities. Using the un-normalized version of the causality…

Quantitative Methods · Quantitative Biology 2015-05-14 L. Angelini , M. de Tommaso , D. Marinazzo , L. Nitti , M. Pellicoro , S. Stramaglia

A popular setting in medical statistics is a group sequential trial with independent and identically distributed normal outcomes, in which interim analyses of the sum of the outcomes are performed. Based on a prescribed stopping rule, one…

Statistics Theory · Mathematics 2018-04-03 Ben Berckmoes , Anna Ivanova , Geert Molenberghs

Sample reuse techniques have significantly reduced the numerical complexity of probabilistic robustness analysis. Existing results show that for a nested collection of hyper-spheres the complexity of the problem of performing $N$ equivalent…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Jorge L. Aravena , Kemin Zhou

Supervised learning under measurement constraints is a common challenge in statistical and machine learning. In many applications, despite extensive design points, acquiring responses for all points is often impractical due to resource…

Methodology · Statistics 2025-03-19 Lin Wang

Crossover designs are an extremely useful tool to investigators, whilst group sequential methods have proven highly proficient at improving the efficiency of parallel group trials. Yet, group sequential methods and crossover designs have…

Methodology · Statistics 2017-10-11 Michael Grayling , James Wason , Adrian Mander

This paper studies inference in two-stage randomized experiments under covariate-adaptive randomization. In the initial stage of this experimental design, clusters (e.g., households, schools, or graph partitions) are stratified and randomly…

Econometrics · Economics 2026-01-16 Jizhou Liu
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