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This survey is concerned with the power of random information for approximation in the (deterministic) worst-case setting, with special emphasis on information consisting of functionals selected independently and identically distributed…

Numerical Analysis · Mathematics 2024-01-09 Mathias Sonnleitner , Mario Ullrich

The analysis of optical images of galaxy-galaxy strong gravitational lensing systems can provide important information about the distribution of dark matter at small scales. However, the modeling and statistical analysis of these images is…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-30 Adam Coogan , Konstantin Karchev , Christoph Weniger

Instantaneous noise-based logic can avoid time-averaging, which implies significant potential for low-power parallel operations in beyond-Moore-law-chips. However, the universe (uniform superposition) will be zero with high probability…

Other Computer Science · Computer Science 2013-01-07 H. Wen , L. B. Kish , A. Klappenecker , F. Peper

We consider the problem of linear fitting of noisy data in the case of broad (say $\alpha$-stable) distributions of random impacts ("noise"), which can lack even the first moment. This situation, common in statistical physics of small…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Eugene B. Postnikov , Igor M. Sokolov

This technical report provides the supplementary material for a paper entitled "Information based clustering", to appear shortly in Proceedings of the National Academy of Sciences (USA). In Section I we present in detail the iterative…

Quantitative Methods · Quantitative Biology 2009-09-29 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

We describe a general approach to detection of transient gravitational-wave signals in the presence of non-Gaussian background noise. We prove that under quite general conditions, the ratio of the likelihood of observed data to contain a…

The vast majority of gravitational-wave signals from stellar-mass compact binary mergers are too weak to be individually detected with present-day instruments and instead contribute to a faint, persistent background. This astrophysical…

High Energy Astrophysical Phenomena · Physics 2024-08-19 Arianna I. Renzini , Thomas A. Callister , Katerina Chatziioannou , Will M. Farr

In large-scale supervised learning, penalized logistic regression (PLR) effectively mitigates overfitting through regularization, yet its performance critically depends on robust variable selection. This paper demonstrates that label noise…

Machine Learning · Computer Science 2026-02-16 Xiaofei Wu , Rongmei Liangse

We propose an operational measure of information leakage in a non-stochastic setting to formalize privacy against a brute-force guessing adversary. We use uncertain variables, non-probabilistic counterparts of random variables, to construct…

Information Theory · Computer Science 2021-01-29 Farhad Farokhi , Ni Ding

We introduce a new clustering method for the classification of functional data sets by their probabilistic law, that is, a procedure that aims to assign data sets to the same cluster if and only if the data were generated with the same…

Methodology · Statistics 2023-12-29 Antonio Galves , Fernando Najman , Marcela Svarc , Claudia D. Vargas

Social groups give the opportunity for a new form of caching. In this paper, we investigate how a social group of users can jointly optimize bandwidth usage, by each caching parts of the data demand, and then opportunistically share these…

Information Theory · Computer Science 2018-10-16 Mohammed Karmoose , Martina Cardone , Christina Fragouli

In this paper, we are analyzing the interactivity time, defined as the duration between two consecutive tasks such as sending emails, collecting friends and followers and writing comments in online social networks (OSNs). The distributions…

Social and Information Networks · Computer Science 2016-07-12 Norbert Blenn , Piet Van Mieghem

In the social sciences, researchers search for information on the Web, but this is most often distributed on different websites, search portals, digital libraries, data archives, and databases. In this work, we present an integrated search…

Digital Libraries · Computer Science 2019-09-25 Daniel Hienert , Dagmar Kern , Katarina Boland , Benjamin Zapilko , Peter Mutschke

This work is an extension of our earlier article, where a well-known integral representation of the logarithmic function was explored, and was accompanied with demonstrations of its usefulness in obtaining compact, easily-calculable, exact…

Information Theory · Computer Science 2020-07-15 Neri Merhav , Igal Sason

We introduce the problem of communication with partial information, where there is an asymmetry between the transmitter and the receiver codebooks. Practical applications of the proposed setup include the robust signal hashing problem…

Information Theory · Computer Science 2009-10-29 Onur Ozyesil , M. Kivanc Mihcak , Yucel Altug

We study the limits of communication efficiency for function computation in collocated networks within the framework of multi-terminal block source coding theory. With the goal of computing a desired function of sources at a sink, nodes…

Information Theory · Computer Science 2016-11-17 Nan Ma , Prakash Ishwar , Piyush Gupta

We briefly introduce noise-based logic. After describing the main motivations we outline classical, instantaneous (squeezed and non-squeezed), continuum, spike and random-telegraph-signal based schemes with applications such as circuits…

Emerging Technologies · Computer Science 2011-02-14 Laszlo B. Kish , Sunil Khatri , Sergey Bezrukov , Ferdinand Peper , Zoltan Gingl , Tamas Horvath

The degree distribution of many biological and technological networks has been described as a power-law distribution. While the degree distribution does not capture all aspects of a network, it has often been suggested that its functional…

Molecular Networks · Quantitative Biology 2007-05-23 Michael P. H. Stumpf , Piers J. Ingram

Random binning is an efficient, yet complex, coding technique for the symmetric L-description source coding problem. We propose an alternative approach, that uses the quantized samples of a bandlimited source as "descriptions". By the…

Information Theory · Computer Science 2013-11-20 Adam Mashiach , Jan Ostergaard , Ram Zamir

The space based gravitational wave detector LISA is expected to observe a large population of Galactic white dwarf binaries whose collective signal is likely to dominate instrumental noise at observational frequencies in the range 10^{-4}…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Soumya D. Mohanty , Rajesh K. Nayak