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Group testing, a problem with diverse applications across multiple disciplines, traditionally assumes independence across nodes' states. Recent research, however, focuses on real-world scenarios that often involve correlations among nodes,…

Information Theory · Computer Science 2025-04-02 Hesam Nikpey , Saswati Sarkar , Shirin Saeedi Bidokhti

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

This paper introduces two new families of non-parametric tests of goodness-of-fit on the compact classical groups. One of them is a family of tests for the eigenvalue distribution induced by the uniform distribution, which is consistent…

Statistics Theory · Mathematics 2018-02-27 Amir Sepehri

We study compressed sensing when the sampling vectors are chosen from the rows of a unitary matrix. In the literature, these sampling vectors are typically chosen randomly; the use of randomness has enabled major empirical and theoretical…

Information Theory · Computer Science 2026-04-07 Yaniv Plan , Matthew S. Scott , Ozgur Yilmaz

The basic goal of threshold group testing is to identify up to $d$ defective items among a population of $n$ items, where $d$ is usually much smaller than $n$. The outcome of a test on a subset of items is positive if the subset has at…

Information Theory · Computer Science 2021-08-24 Thach V. Bui , Mahdi Cheraghchi , Isao Echizen

We provide uniform convergence rates for kernel averages on $[0,1]$ under equally-spaced fixed design points of the form $x_{t,T}=t/T,\ t\in\{1,\dotsc, T\},\ T\in\mathbb{N}$. The rates of weak and strong uniform consistency are derived…

Statistics Theory · Mathematics 2026-03-06 Danilo Hiroshi Matsuoka , Hudson da Silva Torrent

Identification-robust hypothesis tests are commonly based on the continuous updating GMM objective function. When the number of moment conditions grows proportionally with the sample size, the large-dimensional weighting matrix prohibits…

Econometrics · Economics 2025-10-10 Tom Boot , Johannes W. Ligtenberg

In this paper, we are concerned with regression problems where covariates can be grouped in nonoverlapping blocks, and where only a few of them are assumed to be active. In such a situation, the group Lasso is an at- tractive method for…

Information Theory · Computer Science 2013-01-01 Samuel Vaiter , Charles Deledalle , Gabriel Peyré , Jalal Fadili , Charles Dossal

Given $d$ defective items in a population of $n$ items with $d \ll n$, in threshold group testing without gap, the outcome of a test on a subset of items is positive if the subset has at least $u$ defective items and negative otherwise,…

Information Theory · Computer Science 2024-05-10 Thach V. Bui , Yeow Meng Chee , Van Khu Vu

While coresets have been growing in terms of their application, barring few exceptions, they have mostly been limited to unsupervised settings. We consider supervised classification problems, and non-decomposable evaluation measures in such…

Machine Learning · Computer Science 2023-12-18 Jayesh Malaviya , Anirban Dasgupta , Rachit Chhaya

In this work we prove non-trivial impossibility results for perhaps the simplest non-linear estimation problem, that of {\it Group Testing} (GT), via the recently developed Madiman-Tetali inequalities. Group Testing concerns itself with…

Information Theory · Computer Science 2018-04-11 Abhishek Agarwal , Sidharth Jaggi , Arya Mazumdar

Recent research has established sufficient conditions for finite mixture models to be identifiable from grouped observations. These conditions allow the mixture components to be nonparametric and have substantial (or even total) overlap.…

Machine Learning · Statistics 2020-06-16 Alexander Ritchie , Robert A. Vandermeulen , Clayton Scott

Ensemble models often achieve higher accuracy than single learners, but their ability to maintain small generalization gaps is not always well understood. This study examines how ensembles balance accuracy and overfitting across four…

Machine Learning · Computer Science 2025-12-08 Zubair Ahmed Mohammad

Many scientific and engineering challenges -- ranging from pharmacokinetic drug dosage allocation and personalized medicine to marketing mix (4Ps) recommendations -- require an understanding of the unobserved heterogeneity in order to…

Methodology · Statistics 2017-08-17 Jelena Bradic , Gerda Claeskens , Thomas Gueuning

In a well-calibrated risk prediction model, the average predicted probability is close to the true event rate for any given subgroup. Such models are reliable across heterogeneous populations and satisfy strong notions of algorithmic…

Machine Learning · Computer Science 2023-07-31 Jean Feng , Alexej Gossmann , Romain Pirracchio , Nicholas Petrick , Gene Pennello , Berkman Sahiner

Predictive coding networks are neuroscience-inspired models with roots in both Bayesian statistics and neuroscience. Training such models, however, is quite inefficient and unstable. In this work, we show how by simply changing the temporal…

Neural and Evolutionary Computing · Computer Science 2024-02-08 Tommaso Salvatori , Yuhang Song , Yordan Yordanov , Beren Millidge , Zhenghua Xu , Lei Sha , Cornelius Emde , Rafal Bogacz , Thomas Lukasiewicz

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and is relevant in applications such as medical testing, communication protocols, pattern…

Information Theory · Computer Science 2018-10-05 Jonathan Scarlett

In this paper, we derive mutual information based upper and lower bounds on the number of nonadaptive group tests required to identify a given number of "non defective" items from a large population containing a small number of "defective"…

Information Theory · Computer Science 2016-03-01 Abhay Sharma , Chandra R. Murthy

We study a correlated group testing model where items are infected according to a Markov chain, which creates bursty binfection patterns. Focusing on a very sparse infections regime, we propose a non adaptive testing strategy with an…

Information Theory · Computer Science 2025-01-27 Aditya Narayan Ravi , Ilan Shomorony

A common method to reduce the uncertainty of causal inferences from experiments is to assign treatments in fixed proportions within groups of similar units: blocking. Previous results indicate that one can expect substantial reductions in…

Methodology · Statistics 2015-08-31 Fredrik Sävje