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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

Laboratory scientists are well equipped with statistical tools for univariate data, yet many phenomena of scientific interest are time-variant or otherwise multidimensional. Functional data analysis is one way of approaching such data: by…

Computation · Statistics 2023-02-28 Julian Lehrer , Mircea Teodorescu , Yohei Rosen

We look at multiparticle production processes from the Information Theory point of view, both in its extensive and nonextensive versions. Examples of both symmetric (like pp or AA) and asymmetric (like pA) collisions are considered showing…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Information-theoretic measures such as relative entropy and correlation are extremely useful when modeling or analyzing the interaction of probabilistic systems. We survey the quantum generalization of 5 such measures and point out some of…

Information Theory · Computer Science 2015-06-02 William Blacoe

Information theory provides tools to predict the performance of a learning algorithm on a given dataset. For instance, the accuracy of learning an unknown parameter can be upper bounded by reducing the learning task to hypothesis testing…

Quantum Physics · Physics 2026-04-21 Evan Peters

Integrated Information Theory (IIT) has emerged as one of the leading research lines in computational neuroscience to provide a mechanistic and mathematically well-defined description of the neural correlates of consciousness. Integrated…

Quantum Physics · Physics 2018-12-11 Paolo Zanardi , Michael Tomka , Lorenzo Campos Venuti

PyTransport constitutes a straightforward code written in C++ together with Python scripts which automatically edit, compile and run the C++ code as a Python module. It has been written for Unix-like systems (OS X and Linux). Primarily the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-25 David J. Mulryne , John W. Ronayne

The absorption and emission of light by exoplanet atmospheres encode details of atmospheric composition, temperature, and dynamics. Fundamentally, simulating these processes requires detailed knowledge of the opacity of gases within an…

Instrumentation and Methods for Astrophysics · Physics 2024-08-07 Arjun B. Savel , Megan Bedell , Eliza M. -R. Kempton

Conformal Prediction (CP) is a distribution-free uncertainty estimation framework that constructs prediction sets guaranteed to contain the true answer with a user-specified probability. Intuitively, the size of the prediction set encodes a…

Machine Learning · Computer Science 2025-02-18 Alvaro H. C. Correia , Fabio Valerio Massoli , Christos Louizos , Arash Behboodi

Power laws are theoretically interesting probability distributions that are also frequently used to describe empirical data. In recent years effective statistical methods for fitting power laws have been developed, but appropriate use of…

Data Analysis, Statistics and Probability · Physics 2014-02-03 Jeff Alstott , Ed Bullmore , Dietmar Plenz

Representing scientific data sets efficiently on external storage usually involves converting them to a byte string representation using specialized reader/writer routines. The resulting storage files are frequently difficult to interpret…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Christoph Best

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

This thesis uses a quantity that is defined and justified by information theory -- mutual information -- to examine models of condensed matter systems. More precisely, it studies models which are made up out of ferromagnetically interacting…

Quantum Physics · Physics 2013-03-19 Johannes Wilms

Minimalist Data Wrangling with Python is envisaged as a student's first introduction to data science, providing a high-level overview as well as discussing key concepts in detail. We explore methods for cleaning data gathered from different…

Machine Learning · Computer Science 2022-11-10 Marek Gagolewski

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

This monograph offers a toolbox of mathematical techniques, which have been effective and widely applicable in information-theoretic analysis. The first tool is a generalization of the method of types to Gaussian settings, and then to…

Information Theory · Computer Science 2024-06-04 Neri Merhav , Nir Weinberger

Ensuring the usefulness of electronic data sources while providing necessary privacy guarantees is an important unsolved problem. This problem drives the need for an overarching analytical framework that can quantify the safety of…

Information Theory · Computer Science 2010-10-04 Lalitha Sankar , S. Raj Rajagopalan , H. Vincent Poor

We introduce a hierarchical classification of theories that describe systems with fundamentally limited information content. This property is introduced in an operational way and gives rise to the existence of mutually complementary…

Quantum Physics · Physics 2010-05-27 Tomasz Paterek , Borivoje Dakic , Caslav Brukner

We review hitherto attempts to look at the multiparticle production processes from the Information Theory point of view (both in its extensive and nonextensive versions).

High Energy Physics - Phenomenology · Physics 2016-09-06 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Multivariate information decompositions hold promise to yield insight into complex systems, and stand out for their ability to identify synergistic phenomena. However, the adoption of these approaches has been hindered by there being…

Information Theory · Computer Science 2020-12-02 Fernando Rosas , Pedro Mediano , Borzoo Rassouli , Adam Barrett