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The rapid development of derandomization theory, which is a fundamental area in theoretical computer science, has recently led to many surprising applications outside its initial intention. We will review some recent such developments…

Information Theory · Computer Science 2015-03-17 Mahdi Cheraghchi

In the past few years, lossy compression has been widely applied in the field of wireless sensor networks (WSN), where energy efficiency is a crucial concern due to the constrained nature of the transmission devices. Often, the common…

Networking and Internet Architecture · Computer Science 2012-06-12 Davide Zordan , Borja Martinez , Ignasi Vilajosana , Michele Rossi

Pseudo-Random Numbers Generators (PRNGs) are algorithms produced to generate long sequences of statistically uncorrelated numbers, i.e. Pseudo-Random Numbers (PRNs). These numbers are widely employed in mid-level cryptography and in…

Cryptography and Security · Computer Science 2019-12-30 Luca Pasqualini , Maurizio Parton

Mobile and embedded machine learning developers frequently have to compromise between two inferior on-device deployment strategies: sacrifice accuracy and aggressively shrink their models to run on dedicated low-power cores; or sacrifice…

Machine Learning · Computer Science 2023-03-17 Haiguang Li , Trausti Thormundsson , Ivan Poupyrev , Nicholas Gillian

Sorted data is usually easier to compress than unsorted permutations of the same data. This motivates a simple compression scheme: specify the sorted permutation of the data along with a representation of the sorted data compressed…

Data Structures and Algorithms · Computer Science 2014-11-24 Oscar Stiffelman

Robust classification algorithms have been developed in recent years with great success. We take advantage of this development and recast the classical two-sample test problem in the framework of classification. Based on the estimates of…

Statistics Theory · Mathematics 2019-09-18 Haiyan Cai , Bryan Goggin , Qingtang Jiang

Random numbers are a fundamental resource in science and engineering with important applications in simulation and cryptography. The inherent randomness at the core of quantum mechanics makes quantum systems a perfect source of entropy.…

Quantum Physics · Physics 2017-02-28 Miguel Herrero-Collantes , Juan Carlos Garcia-Escartin

Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

Information Theory · Computer Science 2008-05-06 Thomas Blumensath , Mike E. Davies

Data deduplication saves storage space by identifying and removing repeats in the data stream. Compared with traditional compression methods, data deduplication schemes are more time efficient and are thus widely used in large scale storage…

Information Theory · Computer Science 2022-05-30 Hao Lou , Farzad Farnoud

We propose and demonstrate a technique for quantum random number generation based on the random population of the output spatial modes of a beam splitter when both inputs are simultaneously fed with indistinguishable weak coherent states.…

Quantum Physics · Physics 2016-08-19 T. Ferreira da Silva , G. B. Xavier , G. C. Amaral , G. P. Temporão , J. P. von der Weid

The advantages of quantum random number generators (QRNGs) over pseudo-random number generators (PRNGs) are normally attributed to the nature of quantum measurements. This is often seen as implying the superiority of the sequences of bits…

Quantum Physics · Physics 2019-02-04 Alastair A. Abbott , Cristian S. Calude , Michael J. Dinneen , Nan Huang

Our aim is to experimentally study the possibility of distinguishing between quantum sources of randomness--recently proved to be theoretically incomputable--and some well-known computable sources of pseudo-randomness. Incomputability is a…

Quantum Physics · Physics 2009-12-23 Cristian S. Calude , Michael J. Dinneen , Monica Dumitrescu , Karl Svozil

The optimizations of the track fittings require complex simulations of silicon strip detectors to be compliant with the fundamental properties of the hit heteroscedasticity. Many different generations of random numbers must be available…

Instrumentation and Detectors · Physics 2023-09-06 Gregorio Landi , Giovanni E. Landi

In this paper, we consider sequential testing over a single-sensor, a single-decision center setup. At each time instant $t$, the sensor gets $k$ samples $(k>0)$ and describes the observed sequence until time $t$ to the decision center over…

Information Theory · Computer Science 2021-09-20 Sadaf Salehkalaibar , Vincent Y. F. Tan

The literature on compressed sensing has focused almost entirely on settings where the signal is noiseless and the measurements are contaminated by noise. In practice, however, the signal itself is often subject to random noise prior to…

Information Theory · Computer Science 2015-10-28 Ery Arias-Castro , Yonina C. Eldar

We study a relaxation of the problem of coupling probability distributions -- a list of samples is generated from one distribution and an accept is declared if any one of these samples is identical to the sample generated from the other…

Machine Learning · Computer Science 2026-01-13 Joseph Rowan , Buu Phan , Ashish Khisti

We describe random processes (with binary alphabet) whose entropy is less than 1 (per letter), but they mimic true random process, i.e., by definition, generated sequence can be interpreted as the result of the flips of a fair coin with…

Information Theory · Computer Science 2015-12-23 Boris Ryabko

The paper introduces a new technique for compressing Binary Decision Diagrams in those cases where random access is not required. Using this technique, compression and decompression can be done in linear time in the size of the BDD and…

Artificial Intelligence · Computer Science 2008-12-18 Esben Rune Hansen , S. Srinivasa Rao , Peter Tiedemann

We discuss an acceptance-rejection algorithm for the random number generation from the Kolmogorov distribution. Since the cumulative distribution function (CDF) is expressed as a series, in order to obtain the density function we need to…

Computation · Statistics 2022-08-30 Paolo Onorati , Brunero Liseo

We provide an efficient algorithm to generate random samples from the bounded kth order statistic in a sample of independent, but not necessarily identically distributed, random variables. The bounds can be upper or lower bounds and need…

Computation · Statistics 2019-05-13 Tyler Morrison , Sean Pinkney
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