Towards an information-theoretic model of the Allison mixture stochastic process

Gunn, Lachlan J.; Chapeau‐Blondeau, François; Allison, Andrew; Abbott, Derek

doi:10.1088/1742-5468/2016/05/054041

Cited by 4 publications

(3 citation statements)

References 8 publications

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“…Figure 1g shows that CC intra follows a zero mean Gaussian distribution which confirms that the T cells are uncorrelated further adding to the strength of the Bio-PUF. The correlation coefficient of the bit sequence with itself was calculated up to a 64-bit delay (lags) for examining any periodicity and shortranged correlations 37 . The autocorrelation coefficients (ACF) lie in the interval [−1, 1] where a value of −1 and 1 indicate anticorrelation and correlation, respectively, and a value of 0 suggests uncorrelated bits.…”

Section: Resultsmentioning

confidence: 99%

Biological physically unclonable function

et al. 2019

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Information security is one of the foundational requirements for any modern society thriving on digital connectivity. At present, information security is accomplished either through software algorithms or hardware protocols. Software algorithms use pseudo random numbers generated by one-way mathematical functions that are computationally robust in the classical era, but are shown to become vulnerable in the post-quantum era. Hardware security overcomes such limitations through physically unclonable functions (PUFs) that exploit manufacturing process variations in the physical microstructures of Si integrated circuits to obtain true random numbers. However, recent upsurge in reverse engineering strategies make Si-PUFs vulnerable to various attacks. Moreover, Si-PUFs are low-entropy, power-hungry, and area-inefficient. Here we introduce a biological PUF which exploits the inherent randomness found in the colonized populations of T cells and is difficult to reverse engineer and at the same time is high-entropy, non-volatile, reconfigurable, ultra-low-power, low-cost, and environment friendly.

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Section: Resultsmentioning

confidence: 99%

Biological physically unclonable function

et al. 2019

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“…Gunn et al have previously provided an initial informationtheoretic analysis of the Allison mixture [44]. In the present study, we have developed their work by obtaining the correlation information between two elements of the Allison mixture.…”

Section: Discussionmentioning

confidence: 99%

Allison mixture and the two-envelope problem

2017

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In the present study, we have investigated the Allison mixture, a variant of the Parrondo's games where random mixing of two random sequences creates autocorrelation. We have obtained the autocorrelation function and mutual entropy of two elements. Our analysis shows that the mutual information is nonzero even if two distributions have identical average values. We have also considered the two-envelope problem and solved for its exact probability distribution.

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“…For example, the fluctuations in the periodic motion of kayak-paddlers can be used to better estimate their performance [40]. Another example is the Allison mixture to study how unintuitive correlations (or autoinformations) can be obtained from a random sampling of two uncorrelated parent processes [41]. Browian motion can be used to develop optimal search strategies in our everyday life [42].…”

Section: Applications Of Noisementioning

confidence: 99%

Introduction: Unsolved Problems on Noise

Oriols

Ciliberto

2016

J. Stat. Mech.

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This paper is an introduction to the special issue of the 7th Int. Conf. on Unsolved Problems on Noise (UPoN) that took place at Casa Convalescència in Barcelona (Spain) in July 2015. The aim of the UPoN conferences is to provide a forum for researchers working on different fields of noise, fluctuations and variability, where they present their scientific problems which resist solutions. The papers of this Special Issue reflect the interdisciplinary topics (physics, biology, circuits, financial markets, psychology, technology, etc) presented at the UPoN conference. Noise is not only a hindrance to signal detection, but it is indeed a valuable source of information (not present in the signal) that help us to get a deeper understanding on how Nature works.

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Towards an information-theoretic model of the Allison mixture stochastic process

Cited by 4 publications

References 8 publications

Biological physically unclonable function

Biological physically unclonable function

Allison mixture and the two-envelope problem

Introduction: Unsolved Problems on Noise

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