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Information theory, i.e. the mathematical analysis of information and of its processing, has become a tenet of modern science; yet, its use in real-world studies is usually hindered by its computational complexity, the lack of coherent…

Physics and Society · Physics 2025-08-18 Carlson Moses Büth , Kishor Acharya , Massimiliano Zanin

Many applications in the sciences require numerically stable and computationally efficient evaluation of multivariate polynomials. Finding beneficial representations of polynomials, such as Horner factorisations, is therefore crucial.…

Mathematical Software · Computer Science 2020-07-30 Jannik Michelfeit

We introduce FDApy, an open-source Python package for the analysis of functional data. The package provides tools for the representation of (multivariate) functional data defined on different dimensional domains and for functional data that…

Mathematical Software · Computer Science 2025-03-10 Steven Golovkine

As a common step in refining their scientific inquiry, investigators are often interested in performing some screening of a collection of given statistical hypotheses. For example, they may wish to determine whether any one of several…

Methodology · Statistics 2022-03-04 Adam Elder , Marco Carone , Peter Gilbert , Alex Luedtke

Test of independence is of fundamental importance in modern data analysis, with broad applications in variable selection, graphical models, and causal inference. When the data is high dimensional and the potential dependence signal is…

Methodology · Statistics 2023-06-13 Zhanrui Cai , Jing Lei , Kathryn Roeder

Multiple testing of a single hypothesis and testing multiple hypotheses are usually done in terms of p-values. In this paper we replace p-values with their natural competitor, e-values, which are closely related to betting, Bayes factors,…

Statistics Theory · Mathematics 2021-10-26 Vladimir Vovk , Ruodu Wang

We present a general framework for hypothesis testing on distributions of sets of individual examples. Sets may represent many common data sources such as groups of observations in time series, collections of words in text or a batch of…

Methodology · Statistics 2021-02-03 Alexis Bellot , Mihaela van der Schaar

Suppose that at any stage of a statistical experiment a control variable $X$ that affects the distribution of the observed data $Y$ at this stage can be used. The distribution of $Y$ depends on some unknown parameter $\theta$, and we…

Statistics Theory · Mathematics 2009-12-23 Andrey Novikov

Hypothesis testing is a key part of empirical science and multiple testing as well as the combination of evidence from several tests are continued areas of research. In this article we consider the problem of combining the results of…

Statistics Theory · Mathematics 2022-07-15 Phillip B. Mogensen , Bo Markussen

We present the Verse library with the aim of making hybrid system verification more usable for multi-agent scenarios. In Verse, decision making agents move in a map and interact with each other through sensors. The decision logic for each…

Software Engineering · Computer Science 2023-01-24 Yangge Li , Haoqing Zhu , Katherine Braught , Keyi Shen , Sayan Mitra

This book is written to offer a humble, but unified, treatment of e-values in hypothesis testing. It is organized into three parts: Fundamental Concepts, Core Ideas, and Advanced Topics. The first part includes four chapters that introduce…

Statistics Theory · Mathematics 2025-09-11 Aaditya Ramdas , Ruodu Wang

Robust estimation provides essential tools for analyzing data that contain outliers, ensuring that statistical models remain reliable even in the presence of some anomalous data. While robust methods have long been available in R, users of…

Computation · Statistics 2024-11-05 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw , Thomas Servotte , Tim Verdonck

Space-filling experimental design techniques are commonly used in many computer modeling and simulation studies to explore the effects of inputs on outputs. This research presents raxpy, a Python package that leverages expressive annotation…

Mathematical Software · Computer Science 2025-01-08 Neil Ranly , Torrey Wagner

Novelpy (v1.2) is an open-source Python package designed to compute bibliometrics indicators. The package aims to provide a tool to the scientometrics community that centralizes different measures of novelty and disruptiveness, enables…

Digital Libraries · Computer Science 2022-11-21 Pierre Pelletier , Kevin Wirtz

We introduce GraSPy, a Python library devoted to statistical inference, machine learning, and visualization of random graphs and graph populations. This package provides flexible and easy-to-use algorithms for analyzing and understanding…

Social and Information Networks · Computer Science 2019-10-25 Jaewon Chung , Benjamin D. Pedigo , Eric W. Bridgeford , Bijan K. Varjavand , Hayden S. Helm , Joshua T. Vogelstein

In 1948 Hoeffding devised a nonparametric test that detects dependence between two continuous random variables X and Y, based on the ranking of n paired samples (Xi,Yi). The computation of this commonly-used test statistic takes O(n log n)…

Computation · Statistics 2020-10-27 Chaim Even-Zohar

The development and generation of synthetic data are becoming increasingly vital in the field of statistical disclosure control. The PSInference package provides tools to perform exact inferential analysis on singly imputed synthetic data…

Methodology · Statistics 2025-03-20 Ricardo Moura , Mina Norouzirad , Vitor Augusto , Miguel Fonseca

Conducting research often involves managing multiple disconnected tools for survey design, data collection, response analysis, and report generation, leading to inefficiencies, increased error risks, and challenges in ensuring…

Computation · Statistics 2025-08-11 Clievins Selva

Mathematical modeling is a powerful tool in rheology, and we present pyRheo, an open-source package for Python designed to streamline the analysis of creep, stress relaxation, oscillation, and rotation tests. pyRheo contains a comprehensive…

Soft Condensed Matter · Physics 2024-12-23 Isaac Y. Miranda-Valdez , Aaro Niinistö , Tero Mäkinen , Juha Lejon , Juha Koivisto , Mikko J. Alava

Conventional multiple hypothesis tests use step-up, step-down, or closed testing methods to control the overall error rates. We will discuss marrying these methods with adaptive multistage sampling rules and stopping rules to perform…

Methodology · Statistics 2011-07-12 Jay Bartroff , Tze Leung Lai