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Algorithms are ways of mapping problems to solutions. An algorithm is invertible precisely when this mapping is injective, such that the initial problem can be uniquely inferred from its solution. While invertible algorithms can be…

Programming Languages · Computer Science 2022-12-08 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

The paper study counter-dependent pseudorandom generators; the latter are generators such that their state transition function (and output function) is being modified dynamically while working: For such a generator the recurrence sequence…

Cryptography and Security · Computer Science 2011-11-15 Vladimir Anashin

Conventional random number generators provide the speed but not necessarily the high quality output streams needed for large-scale stochastic simulations. Cryptographically-based generators, on the other hand, provide superior quality…

Numerical Analysis · Mathematics 2013-07-17 William K. Cochran , Michael T. Heath , Kyle W. McKiou

Security of information transmitted through the Internet, against passive or active attacks is an international concern. The use of a chaos-based pseudo-random bit sequence to make it unrecognizable by an intruder, is a field of research in…

Cryptography and Security · Computer Science 2010-04-15 Qianxue Wang , Christophe Guyeux , Jacques M. Bahi

We introduce an algorithm for the uniform generation of infinite traces, i.e., infinite words up to commutation of some letters. The algorithm outputs on-the-fly approximations of a theoretical infinite trace, the latter being distributed…

Combinatorics · Mathematics 2025-05-27 Samy Abbes , Vincent Jugé

As neural language models approach human performance on NLP benchmark tasks, their advances are widely seen as evidence of an increasingly complex understanding of syntax. This view rests upon a hypothesis that has not yet been empirically…

Computation and Language · Computer Science 2021-09-13 Nikolay Malkin , Sameera Lanka , Pranav Goel , Nebojsa Jojic

Random Indexing is a simple implementation of Random Projections with a wide range of applications. It can solve a variety of problems with good accuracy without introducing much complexity. Here we use it for identifying the language of…

Computation and Language · Computer Science 2015-03-02 Aditya Joshi , Johan Halseth , Pentti Kanerva

Parallel supercomputer-based Monte Carlo applications depend on pseudorandom number generators that produce independent pseudorandom streams across many separate processes. We propose a new scalable class of parallel pseudorandom number…

Computational Physics · Physics 2015-02-03 Paul D. Beale

Even if the output of a Random Number Generator (RNG) is perfectly uniformly distributed, it may be correlated to pre-existing information and therefore be predictable. Statistical tests are thus not sufficient to guarantee that an RNG is…

Quantum Physics · Physics 2013-11-20 Daniela Frauchiger , Renato Renner , Matthias Troyer

We present an iterative approach to constructing pseudorandom generators, based on the repeated application of mild pseudorandom restrictions. We use this template to construct pseudorandom generators for combinatorial rectangles and…

Computational Complexity · Computer Science 2012-10-02 Parikshit Gopalan , Raghu Meka , Omer Reingold , Luca Trevisan , Salil Vadhan

Symmetry in integer programming causes redundant search and is often handled with symmetry breaking constraints that remove as many equivalent solutions as possible. We propose an algebraic method which allows to generate a random family of…

Symbolic Computation · Computer Science 2026-02-10 Madalina Erascu , Johannes Middeke

We produce two strings of quantum random numbers simultaneously from the intensity fluctuations of the twin beams generated by a nondegenerate optical parametric oscillator. Two strings of quantum random numbers with bit rates up to 60 Mb/s…

Quantum Physics · Physics 2017-05-10 Qiang Zhang , Xiaowei Deng , Caixing Tian , Xiaolong Su

In this paper, we propose a simple, fast decoding algorithm that fosters diversity in neural generation. The algorithm modifies the standard beam search algorithm by adding an inter-sibling ranking penalty, favoring choosing hypotheses from…

Computation and Language · Computer Science 2016-12-23 Jiwei Li , Will Monroe , Dan Jurafsky

Stochastic computing (SC) is a high density, low-power computation technique which encodes values as unary bitstreams instead of binary-encoded (BE) values. Practical SC implementations require deterministic or pseudo-random number…

Emerging Technologies · Computer Science 2019-02-28 Vincent T. Lee , Samuel Archibald Elliot , Armin Alaghi , Luis Ceze

We outline some of Chris Wallace's contributions to pseudo-random number generation. In particular, we consider his idea for generating normally distributed variates without relying on a source of uniform random numbers, and compare it with…

Mathematical Software · Computer Science 2021-07-05 Richard P. Brent

Randomness, mainly in the form of random numbers, is the fundamental prerequisite for the security of many cryptographic tasks. Quantum randomness can be extracted even if adversaries are fully aware of the protocol and even control the…

Quantum Physics · Physics 2023-03-24 Wen-Bo Liu , Yu-Shuo Lu , Yao Fu , Si-Cheng Huang , Ze-Jie Yin , Kun Jiang , Hua-Lei Yin , Zeng-Bing Chen

It is quite usual when an evolutionary algorithm tool or library uses a language other than C, C++, Java or Matlab that a reviewer or the audience questions its usefulness based on the speed of those other languages, purportedly slower than…

Neural and Evolutionary Computing · Computer Science 2015-11-05 Juan-J. Merelo , Pablo García-Sánchez , Mario García-Valdez , Israel Blancas

The $\beta$-encoder is an analog circuit that converts an input signal $x \in [0,1]$ into a finite bit stream $\{b_i\}$. The bits $\{b_i\}$ are correlated and therefore are not immediately suitable for random number generation, but they can…

Dynamical Systems · Mathematics 2023-03-24 Charlene Kalle , Evgeny Verbitskiy , Benthen Zeegers

Quantum random number generators (QRNGs) promise perfectly unpredictable random numbers. However, the security certification of the random numbers in form of a stochastic model often introduces assumptions that are either hardly justified…

Random numbers are indispensable for a variety of applications ranging from testing physics foundation to information encryption. In particular, nonlocality tests provide a strong evidence to our current understanding of nature -- quantum…

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