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In this paper, we develop a new cellular automata-based linear model for several nonlinear pseudorandom number generators with practical applications in symmetric cryptography. Such a model generates all the solutions of linear binary…

Cryptography and Security · Computer Science 2010-05-04 Pino Caballero-Gil , Amparo Fúster-Sabater , Oscar Delgado-Mohatar

In graph-based active learning, algorithms based on expected error minimization (EEM) have been popular and yield good empirical performance. The exact computation of EEM optimally balances exploration and exploitation. In practice,…

Machine Learning · Statistics 2016-09-06 Kwang-Sung Jun , Robert Nowak

The recently ratified IEEE 802.11e standard defines the Enhanced Distributed Channel Access (EDCA) function for Quality-of-Service (QoS) provisioning in the Wireless Local Area Networks (WLANs). The EDCA uses Carrier Sense Multiple Access…

Other Computer Science · Computer Science 2007-05-23 Inanc Inan , Feyza Keceli , Ender Ayanoglu

Cellular Automata (CA) are a class of discrete dynamical systems that have been widely used to model complex systems in which the dynamics is specified at local cell-scale. Classically, CA are run on a regular lattice and with perfect…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Nazim A. Fates , Michel Morvan

It is shown that irreversible classical cellular automata can be performed by quantum algorithm using additional ancilla registers. The algorithm for cellular automata states analysis has been proposed. This algorithm is based on the…

Quantum Physics · Physics 2010-01-28 B. Pavlyshenko

Efficient low complexity error correcting code(ECC) is considered as an effective technique for mitigation of multi-bit upset (MBU) in the configuration memory(CM)of static random access memory (SRAM) based Field Programmable Gate Array…

Hardware Architecture · Computer Science 2018-10-24 Swagata Mandal , Sreetama Sarkar , Wong Ming Ming , Anupam Chattopadhyay , Amlan Chakrabarti

Neural Cellular Automata (NCAs) are bio-inspired dynamical systems in which identical cells iteratively apply a learned local update rule to self-organize into complex patterns, exhibiting regeneration, robustness, and spontaneous dynamics.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Ehsan Pajouheshgar , Yitao Xu , Ali Abbasi , Alexander Mordvintsev , Wenzel Jakob , Sabine Süsstrunk

Cellular automata are one-dimensional arrays of interconnected interacting finite automata. We investigate one of the weakest classes, the real-time one-way cellular automata, and impose an additional restriction on their inter-cell…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Martin Kutrib , Andreas Malcher

Unsourced random access (URA) has emerged as a pragmatic framework for next-generation distributed sensor networks. Within URA, concatenated coding structures are often employed to ensure that the central base station can accurately recover…

Information Theory · Computer Science 2021-12-02 Vamsi K. Amalladinne , Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

Computational storage, known as a solution to significantly reduce the latency by moving data-processing down to the data storage, has received wide attention because of its potential to accelerate data-driven devices at the edge. To meet…

Information Theory · Computer Science 2021-03-23 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

Principal component analysis (PCA) is widely used for dimension reduction and embedding of real data in social network analysis, information retrieval, and natural language processing, etc. In this work we propose a fast randomized PCA…

Machine Learning · Computer Science 2018-10-17 Xu Feng , Yuyang Xie , Mingye Song , Wenjian Yu , Jie Tang

We study the asymptotic behaviour of symbolic computing systems, notably one-dimensional cellular automata (CA), in order to ascertain whether and at what rate the number of complex versus simple rules dominate the rule space for increasing…

Cellular Automata and Lattice Gases · Physics 2018-04-06 Hector Zenil

We study the problem of example-based procedural texture synthesis using highly compact models. Given a sample image, we use differentiable programming to train a generative process, parameterised by a recurrent Neural Cellular Automata…

Machine Learning · Computer Science 2021-11-29 Alexander Mordvintsev , Eyvind Niklasson

We present an intuitive formalism for implementing cellular automata on arbitrary topologies. By that means, we identify a symmetry operation in the class of elementary cellular automata. Moreover, we determine the subset of topologically…

Cellular Automata and Lattice Gases · Physics 2009-11-13 Carsten Marr , Marc-Thorsten Huett

Compact Genetic Algorithms (cGAs) are condensed variants of classical Genetic Algorithms (GAs) that use a probability vector representation of the population instead of the complete population. cGAs have been shown to significantly reduce…

Neural and Evolutionary Computing · Computer Science 2025-04-07 Prasanta Dutta , Anirban Mukhopadhyay

We study quantum and stochastic deformations of the rule-54 reversible cellular automaton (RCA54) on a 1+1-dimensional spatiotemporal lattice, focusing on their integrability structures in two distinct settings. First, for the quantum…

Mathematical Physics · Physics 2026-04-01 Chiara Paletta , Tomaž Prosen

In this paper, we present a novel algorithm to optimize the design of Reservoir Computing using Cellular Automata models for time series applications. Besides selecting the models' hyperparameters, the proposed algorithm particularly solves…

Machine Learning · Computer Science 2024-02-15 Jonas Kantic , Fabian C. Legl , Walter Stechele , Jakob Hermann

The Collatz, or 3x+1, Conjecture claims that for every positive integer n, there exists some k such that T^k(n)=1, where T is the Collatz map. We present three cellular automata (CA) that transform the global problem of mimicking the…

Number Theory · Mathematics 2013-01-15 Sitan Chen

To test generalization ability of a class of deep neural networks, we randomly generate a large number of different rule sets for 2-D cellular automata (CA), based on John Conway's Game of Life. Using these rules, we compute several…

Machine Learning · Computer Science 2021-11-22 Marcel Aach , Jens Henrik Goebbert , Jenia Jitsev

A one-dimensional two-state number-conserving cellular automaton (NCCA) is a cellular automaton whose states are 0 or 1 and where cells take states 0 and 1 and updated their states by the rule which keeps overall sum of states constant. It…

Cellular Automata and Lattice Gases · Physics 2019-10-21 Gil-Tak Kong , Katsunobu Imai , Toru Nakanashi