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A wavelet-based method for compression of three-dimensional simulation data is presented and its software framework is described. It uses wavelet decomposition and subsequent range coding with quantization suitable for floating-point data.…

Computational Physics · Physics 2022-01-06 Dmitry Kolomenskiy , Ryo Onishi , Hitoshi Uehara

According to E.T. Jaynes and E.P. Wigner, entropy is an anthropomorphic concept in the sense that in a physical system correspond many thermodynamic systems. The physical system can be examined from many points of view each time examining…

Information Theory · Computer Science 2015-12-03 Panteleimon Rodis

Recently, the reference functions for the synthesis and analysis of the autostereoscopic multiview and integral images in three-dimensional displays we introduced. In the current paper, we propose the wavelets to analyze such images. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Vladimir Saveljev

We try to establish a unified information theoretic approach to learning and to explore some of its applications. First, we define {\em predictive information} as the mutual information between the past and the future of a time series,…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ilya Nemenman

We review the central results concerning wavelet methods in multifractal analysis, which consists in analysis of the pointwise singularities of a signal, and we describe its recent extension to multivariate multifractal analysis, which…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Stéphane Jaffard , Guillaume Saës , Wejdene Ben Nasr , Florent Palacin , Véronique Billat

Measures of dependence among variables, and measures of information content and shared information have become valuable tools of multi-variable data analysis. Information measures, like marginal entropies, mutual and multi-information, have…

Information Theory · Computer Science 2013-08-02 David J. Galas , Nikita A. Sakhanenko , Benjamin Keller

The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT where the intensity of the pixels are used to define the…

Computational Geometry · Computer Science 2023-07-27 Jessi Cisewski-Kehe , Brittany Terese Fasy , Dhanush Giriyan , Eli Quist

The paper presents a versatile library of analytic and quasi-analytic complex-valued wavelet packets (WPs) which originate from discrete splines of arbitrary orders. The real parts of the quasi-analytic WPs are the regular spline-based…

Numerical Analysis · Mathematics 2019-07-04 Amir Averbuch , Pekka Neittaanmaki , Valery Zheludev

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami

This paper studies the simultaneous wireless information and power transfer (SWIPT) in a multiuser wireless system, in which distributed transmitters send independent messages to their respective receivers, and at the same time…

Information Theory · Computer Science 2016-11-18 Seunghyun Lee , Liang Liu , Rui Zhang

It is demonstrated how to obtain the least biased description of the single particle spectra measured in all multiparticle production processes by using information theory approach (known also as MaxEnt approach). The case of e+e-…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

During a spontaneous change, a macroscopic physical system will evolve towards a macro-state with more realizations. This observation is at the basis of the Statistical Mechanical version of the Second Law of Thermodynamics, and it provides…

Statistical Mechanics · Physics 2020-04-22 Mengjie Zu , Arunkumar Bupathy , Daan Frenkel , Srikanth Sastry

Humans communicate using systems of interconnected stimuli or concepts -- from language and music to literature and science -- yet it remains unclear how, if at all, the structure of these networks supports the communication of information.…

Physics and Society · Physics 2020-03-27 Christopher W. Lynn , Lia Papadopoulos , Ari E. Kahn , Danielle S. Bassett

Wavelet transformation stands as a cornerstone in modern data analysis and signal processing. Its mathematical essence is an invertible transformation that discerns slow patterns from fast ones in the frequency domain. Such an invertible…

Machine Learning · Computer Science 2022-01-28 Shuo-Hui Li

The purpose of this article is to provide an overall critical appraisal of Integrated Information Theory(IIT) of consciousness. We explore how it has evolved and what problems are involved in the theory. IIT is a hypothesis that…

Neurons and Cognition · Quantitative Biology 2018-10-02 Kyumin Moon , Hongju Pae

We propose an unsupervised image fusion architecture for multiple application scenarios based on the combination of multi-scale discrete wavelet transform through regional energy and deep learning. To our best knowledge, this is the first…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Shaolei Liu , Manning Wang , Zhijian Song

We propose a new statistical procedure able in some way to overcome the curse of dimensionality without structural assumptions on the function to estimate. It relies on a least-squares type penalized criterion and a new collection of models…

Statistics Theory · Mathematics 2016-11-28 Nathalie Akakpo

Integrated Information Theory (IIT) is a prominent theory of consciousness that has at its centre measures that quantify the extent to which a system generates more information than the sum of its parts. While several candidate measures of…

Neurons and Cognition · Quantitative Biology 2019-01-30 Pedro A. M. Mediano , Anil K. Seth , Adam B. Barrett

New experimental techniques based on non-linear ultrafast spectroscopies have been developed over the last few years, and have been demonstrated to provide powerful probes of quantum dynamics in different types of molecular aggregates,…

In this letter, a novel communication paradigm for simultaneous wireless information and power transfer (SWIPT) is proposed, which leverages the thermal characteristics of electromagnetic signals. In particular, the proposed scheme exploits…

Information Theory · Computer Science 2024-03-27 Elio Faddoul , Yuan Guo , Christodoulos Skouroumounis , Ioannis Krikidis