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In this paper we introduce a new quantum computation model, the linear quantum cellular automaton. Well-formedness is an essential property for any quantum computing device since it enables us to define the probability of a configuration in…

Data Structures and Algorithms · Computer Science 2007-05-23 Christoph Durr , Huong LeThanh , Miklos Santha

We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the reaction-diffusion equation with a random…

Cellular Automata and Lattice Gases · Physics 2011-04-27 A. Nishiyama , T. Tokihiro

We show that cellular automata can classify data by inducing a form of dynamical phase coexistence. We use Monte Carlo methods to search for general two-dimensional deterministic automata that classify images on the basis of activity, the…

Neural and Evolutionary Computing · Computer Science 2023-08-02 Stephen Whitelam , Isaac Tamblyn

The Fuzzy transform is ubiquitous in different research fields and applications, such as image and data compression, data mining, knowledge discovery, and the analysis of linguistic expressions. As a generalisation of the Fuzzy transform,…

Optimization and Control · Mathematics 2020-07-28 Giuseppe Patanè

Cellular automata (CA) consist of an array of identical cells, each of which may take one of a finite number of possible states. The entire array evolves in discrete time steps by iterating a global evolution G. Further, this global…

Discrete Mathematics · Computer Science 2015-03-18 Pablo Arrighi , Renan Fargetton , Vincent Nesme , Eric Thierry

Many computer models such as cellular automata and artificial neural networks have been developed and successfully applied. However, in some cases, these models might be restrictive on the possible solutions or their solutions might be…

Artificial Intelligence · Computer Science 2020-09-02 Patrik Christen , Olivier Del Fabbro

A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular automata use local updating rules. The new…

Cellular Automata and Lattice Gases · Physics 2010-03-26 Xin-She Yang , Young Z. L. Yang

An architecture of a new neuro-fuzzy system is proposed. The basic idea of this approach is to tune both synaptic weights and membership functions with the help of the supervised learning and self-learning paradigms. The approach to solving…

Artificial Intelligence · Computer Science 2016-10-21 Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Anastasiia O. Deineko

The combination of higher-order theories and fuzzy logic can be useful in decision-making tasks that involve reasoning across abstract functions and predicates, where exact matches are often rare or unnecessary. Developing efficient…

Artificial Intelligence · Computer Science 2025-07-18 Besik Dundua , Temur Kutsia

Studies of quantum computer implementations suggest cellular quantum computer architectures. These architectures can simulate the evolution of quantum cellular automata, which can possibly simulate both quantum and classical physical…

Quantum Physics · Physics 2008-11-04 Ioannis G. Karafyllidis

Cellular automata and other discrete dynamical systems have long been studied as models of emergent complexity. Recently, neural cellular automata have been proposed as models to investigate the emerge of a more general artificial…

Cellular Automata and Lattice Gases · Physics 2025-07-28 Sanyam Jain , Stefano Nichele

Computing the configuration of any one-dimensional cellular automaton at generation $n$ can be accelerated by constructing and running a composite rule with a radius proportional to $\log n$. The new automaton is the original one, but with…

Computational Complexity · Computer Science 2025-11-04 Joseph Natal , Oleksiy Al-saadi

We present a preliminary study of a new class of two-input cellular automata called eventually number-conserving cellular automata characterized by the property of evolving after a finite number of time steps to states whose number of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nino Boccara

Fuzz testing, or "fuzzing," refers to a widely deployed class of techniques for testing programs by generating a set of inputs for the express purpose of finding bugs and identifying security flaws. Grey-box fuzzing, the most popular…

Artificial Intelligence · Computer Science 2018-08-28 Siddharth Karamcheti , Gideon Mann , David Rosenberg

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

The work introduces a 3D cellular automaton model for the spatial and crystallographic prediction of spherulite growth phenomena in polymers at the mesoscopic scale. The automaton is discrete in time, real space, and orientation space. The…

Soft Condensed Matter · Physics 2008-11-11 D. Raabe

A classical local cellular automaton can describe an interacting quantum field theory for fermions. We construct a simple classical automaton for a particular version of the Thirring model with imaginary coupling. This interacting fermionic…

Quantum Physics · Physics 2021-02-03 C. Wetterich

Control over the physical properties of materials is ubiquitously required in many fields. One means by which this can be achieved is controlling the internal structure of multi-component materials with an eye to enhancing mechanical…

Soft Condensed Matter · Physics 2023-05-22 Rikuya Ishikawa , Marie Tani , Rei Kurita

In this paper, We have introduced a new class of sequences of fuzzy numbers defined by using modulus function and generalized weighted mean over the class defined in \cite{OS}. We have proved that this class form a quasilinear complete…

General Mathematics · Mathematics 2016-02-12 Sarita Ojha , P. D. Srivastava

At present, state-of-the-art forecasting models are short of the ability to capture spatio-temporal dependency and synthesize global information at the stage of learning. To address this issue, in this paper, through the adaptive fuzzified…

Artificial Intelligence · Computer Science 2025-07-29 Lijian Li
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