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In a group testing scheme, a set of tests is designed to identify a small number $t$ of defective items that are present among a large number $N$ of items. Each test takes as input a group of items and produces a binary output indicating…

Information Theory · Computer Science 2016-11-17 Arya Mazumdar

Importance sampling has been reported to produce algorithms with excellent empirical performance in counting problems. However, the theoretical support for its efficiency in these applications has been very limited. In this paper, we…

Probability · Mathematics 2009-08-10 Jose H. Blanchet

The higher criticism of a family of tests starts with the individual uncorrected p-values of each test. It then requires a procedure for deciding whether the collection of p-values indicates the presence of a real effect and if possible…

Understanding causal relationships between variables is a fundamental problem with broad impact in numerous scientific fields. While extensive research has been dedicated to learning causal graphs from data, its complementary concept of…

Machine Learning · Computer Science 2024-03-12 Jiaqi Zhang , Kirankumar Shiragur , Caroline Uhler

A wide range of interesting program properties are intrinsically relational, i.e., they relate two or more program traces. Two prominent relational properties are secure information flow and conditional program equivalence. By showing the…

Logic in Computer Science · Computer Science 2019-10-22 Alexander Weigl , Mattias Ulbrich , Suhyun Cha , Bernhard Beckert , Birgit Vogel-Heuser

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

We provide a novel computer-assisted technique for systematically analyzing first-order methods for optimization. In contrast with previous works, the approach is particularly suited for handling sublinear convergence rates and stochastic…

Optimization and Control · Mathematics 2021-12-22 Adrien Taylor , Francis Bach

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

In group testing, the task is to identify defective items by testing groups of them together using as few tests as possible. We consider the setting where each item is defective with a constant probability $\alpha$, independent of all other…

Discrete Mathematics · Computer Science 2024-11-15 Lukas Hintze , Lena Krieg , Olga Scheftelowitsch , Haodong Zhu

This is an up-to-date introduction to, and overview of, marginal likelihood computation for model selection and hypothesis testing. Computing normalizing constants of probability models (or ratio of constants) is a fundamental issue in many…

Computation · Statistics 2023-02-13 Fernando Llorente , Luca Martino , David Delgado , Javier Lopez-Santiago

First-order logic has been established as an important tool for modeling and verifying intricate systems such as distributed protocols and concurrent systems. These systems are parametric in the number of nodes in the network or the number…

Logic in Computer Science · Computer Science 2024-08-21 Raz Lotan , Eden Frenkel , Sharon Shoham

Polling systems have been widely studied, however most of these studies focus on polling systems with renewal processes for arrivals and random variables for service times. There is a need driven by practical applications to study polling…

Performance · Computer Science 2020-08-04 Jin Xu , Natarajan Gautam

This paper focuses on stochastic orders and its applications : policy limits and deductibles. Further, many applications and some examples are given : comparison of two families of copulas, individual and collective risk model, reinsurance…

Statistics Theory · Mathematics 2015-01-28 Halim Zeghdoudi , Meriem Bouhadjar , Mohamed Riad Remita

A unified framework is proposed for tests of unobserved heterogeneity in parametric statistic models based on Neyman's $C(\alpha)$ approach. Such tests are irregular in the sense that the first order derivative of the log likelihood with…

Statistics Theory · Mathematics 2014-10-07 Jiaying Gu

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

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

For statistical analysis of multiway contingency tables we propose modeling interaction terms in each maximal compact component of a hierarchical model. By this approach we can search for parsimonious models with smaller degrees of freedom…

Statistics Theory · Mathematics 2011-08-23 Hisayuki Hara , Tomonari Sei , Akimichi Takemura

Todays industrial control systems consist of tightly coupled components allowing adversaries to exploit security attack surfaces from the information technology side, and, thus, also get access to automation devices residing at the…

Software Engineering · Computer Science 2023-06-26 Mukund Bhole , Wolfgang Kastner , Thilo Sauter

We prove oracle inequalities for a penalized log-likelihood criterion that hold even if the data are not independent and not stationary, based on a martingale approach. The assumptions are checked for various contexts: density estimation…

Statistics Theory · Mathematics 2024-05-20 Julien Aubert , Luc Lehéricy , Patricia Reynaud-Bouret

We study the canonical problem of maximizing a stochastic submodular function subject to a cardinality constraint, where the goal is to select a subset from a ground set of items with uncertain individual performances to maximize their…

Data Structures and Algorithms · Computer Science 2019-05-10 Shreyas Sekar , Milan Vojnovic , Se-Young Yun