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In the problem of composite hypothesis testing, identifying the potential uniformly most powerful (UMP) unbiased test is of great interest. Beyond typical hypothesis settings with exponential family, it is usually challenging to prove the…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Jian Kang

We introduce an independence criterion based on entropy regularized optimal transport. Our criterion can be used to test for independence between two samples. We establish non-asymptotic bounds for our test statistic and study its…

Machine Learning · Statistics 2022-04-21 Lang Liu , Soumik Pal , Zaid Harchaoui

NIFTY, "Numerical Information Field Theory", is a software package designed to enable the development of signal inference algorithms that operate regardless of the underlying spatial grid and its resolution. Its object-oriented framework is…

Instrumentation and Methods for Astrophysics · Physics 2013-06-06 Marco Selig , Michael R. Bell , Henrik Junklewitz , Niels Oppermann , Martin Reinecke , Maksim Greiner , Carlos Pachajoa , Torsten A. Enßlin

In online multiple testing, an a priori unknown number of hypotheses are tested sequentially, i.e. at each time point a test decision for the current hypothesis has to be made using only the data available so far. Although many powerful…

Methodology · Statistics 2025-03-11 Vincent Jankovic , Lasse Fischer , Werner Brannath

Despite being the most popular programming language, Python has not yet received enough attention from the community. To the best of our knowledge, there is no general static analysis framework proposed to facilitate the implementation of…

Software Engineering · Computer Science 2022-02-25 Li Li , Jiawei Wang , Haowei Quan

The problem of many hypotheses logarithmically asymptotically optimal (LAO) testing for a model consisting of three or more independent objects is solved. It is supposed that $M$ probability distributions are known and each object…

Information Theory · Computer Science 2007-07-13 Evgueni A. Haroutunian , Parandzem M. Hakobyan

This document contains the mathematical introduction to RORPack - a Python software library for robust output tracking and disturbance rejection for linear PDE systems. The RORPack library is open-source and freely available at…

Optimization and Control · Mathematics 2019-02-27 Lassi Paunonen

Unit tests are widely used to check source code quality, but they can be too coarse-grained or ill-suited for testing individual program statements. We introduce inline tests to make it easier to check for faults in statements. We motivate…

Software Engineering · Computer Science 2022-09-15 Yu Liu , Pengyu Nie , Owolabi Legunsen , Milos Gligoric

DeeProb-kit is a unified library written in Python consisting of a collection of deep probabilistic models (DPMs) that are tractable and exact representations for the modelled probability distributions. The availability of a representative…

Machine Learning · Computer Science 2022-12-09 Lorenzo Loconte , Gennaro Gala

Python is one of the fastest-growing programming languages and currently ranks as the top language in many lists, even recently overtaking JavaScript as the top language on GitHub. Given its importance in data science and machine learning,…

Software Engineering · Computer Science 2025-02-10 Idriss Abdelmadjid , Robert Dyer

This paper presents the philosophy, design and feature-set of Neural Network Distiller, an open-source Python package for DNN compression research. Distiller is a library of DNN compression algorithms implementations, with tools, tutorials…

Machine Learning · Computer Science 2019-10-29 Neta Zmora , Guy Jacob , Lev Zlotnik , Bar Elharar , Gal Novik

IntLevPy provides a comprehensive description of the IntLevPy Package, a Python library designed for simulating and analyzing intermittent and L\'evy processes. The package includes functionalities for process simulation, including full…

Neural and Evolutionary Computing · Computer Science 2025-09-05 Shailendra Bhandari , Pedro Lencastre , Sergiy Denysov , Yurii Bystryk , Pedro G. Lind

The BumpHunter algorithm is widely used in the search for new particles in High Energy Physics analysis. This algorithm offers the advantage of evaluating the local and global p-values of a localized deviation in the observed data without…

High Energy Physics - Experiment · Physics 2023-10-11 Louis Vaslin , Samuel Calvet , Vincent Barra , Julien Donini

The wavelet scattering transform is an invariant signal representation suitable for many signal processing and machine learning applications. We present the Kymatio software package, an easy-to-use, high-performance Python implementation of…

Due to the increasing availability of high-dimensional empirical applications in many research disciplines, valid simultaneous inference becomes more and more important. For instance, high-dimensional settings might arise in economic…

Econometrics · Economics 2018-09-14 Philipp Bach , Victor Chernozhukov , Martin Spindler

Many scientific questions rely on determining whether two sequences of event times are associated. This article introduces a likelihood ratio test which can be parameterised in several ways to detect different forms of dependence. A common…

Methodology · Statistics 2014-12-23 Patrick Rubin-Delanchy , Nicholas A. Heard

We present the software package binary_c-python which provides a convenient and easy-to-use interface to the binary_c framework, allowing the user to rapidly evolve individual systems and populations of stars. binary_c-python is available…

Solar and Stellar Astrophysics · Physics 2023-06-06 D. D. Hendriks , R. G. Izzard

We propose a general framework for constructing powerful, sequential hypothesis tests for a large class of nonparametric testing problems. The null hypothesis for these problems is defined in an abstract form using the action of two known…

Machine Learning · Statistics 2023-10-31 Teodora Pandeva , Patrick Forré , Aaditya Ramdas , Shubhanshu Shekhar

We consider the problem of hypothesis testing in the situation where the first hypothesis is simple and the second one is local one-sided composite. We describe the choice of the thresholds and the power functions of different tests when…

Statistics Theory · Mathematics 2015-02-25 Serguei Dachian , Yury Kutoyants , Lin Yang

Models used for control design are, to some degree, uncertain. Model uncertainty must be accounted for to ensure the robustness of the closed-loop system. $\mu$-analysis and $\mu$-synthesis methods allow for the analysis and design of…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Timothy Everett Adams , Steven Dahdah , James Richard Forbes