English
Related papers

Related papers: Solutions on 1D and 2D Density Classification Prob…

200 papers

The Dendritic Cell algorithm (DCA) is inspired by recent work in innate immunity. In this paper a formal description of the DCA is given. The DCA is described in detail, and its use as an anomaly detector is illustrated within the context…

Artificial Intelligence · Computer Science 2010-07-05 Julie Greensmith , Uwe Aickelin , Jamie Twycross

The probabilistic cellular automaton (PCA) method is highlighted for its relatively simple numerical algorithm and low computational cost in the simulation of microstructural evolution. In this method, probabilistic state change rules are…

Materials Science · Physics 2024-04-23 Majid Seyed-Salehi

We study the influence of the dimension of cellular automata (CA) for real time language recognition of one-dimensional languages with parallel input. Specifically, we focus on the question of determining whether every language that can be…

Formal Languages and Automata Theory · Computer Science 2016-10-04 Anaël Grandjean , Victor Poupet

This paper deals with the theory and application of 2-Dimensional, nine-neighborhood, null- boundary, uniform as well as hybrid Cellular Automata (2D CA) linear rules in image processing. These rules are classified into nine groups…

Discrete Mathematics · Computer Science 2008-04-16 Pabitra Pal Choudhury , Birendra Kumar Nayak , Sudhakar Sahoo , Sunil Pankaj Rath

In this dissertation, we study temporally stochasticity in cellular automata and the behavior of such cellular automata. The work also explores the computational ability of such cellular automaton that illustrates the computability of…

Cellular Automata and Lattice Gases · Physics 2022-10-26 Subrata Paul

Cellular Automata (CAs) are computational models that can capture the essential features of systems in which global behavior emerges from the collective effect of simple components, which interact locally. During the last decades, CAs have…

We present a method for computing probability of occurence of 1s in a configuration obtained by iteration of a probabilistic cellular automata (PCA), starting from a random initial configuration. If the PCA is sufficiently simple, one can…

Cellular Automata and Lattice Gases · Physics 2023-12-18 Henryk Fukś

This paper designs an efficient two-class pattern classifier utilizing asynchronous cellular automata (ACAs). The two-state three-neighborhood one-dimensional ACAs that converge to fixed points from arbitrary seeds are used here for pattern…

Cellular Automata and Lattice Gases · Physics 2016-02-01 Biswanath Sethi , Souvik Roy , Sukanta Das

Point-based cell detection (PCD), which pursues high-performance cell sensing under low-cost data annotation, has garnered increased attention in computational pathology community. Unlike mainstream PCD methods that rely on intermediate…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Zhongyi Shui , Sunyi Zheng , Chenglu Zhu , Shichuan Zhang , Xiaoxuan Yu , Honglin Li , Jingxiong Li , Pingyi Chen , Lin Yang

Neural cellular automata represent an evolution of the traditional cellular automata model, enhanced by the integration of a deep learning-based transition function. This shift from a manual to a data-driven approach significantly increases…

Image and Video Processing · Electrical Eng. & Systems 2024-03-26 Andrea Menta , Alberto Archetti , Matteo Matteucci

In this paper, we analyze the algebraic structure of some null boundary as well as some periodic boundary 2-D Cellular Automata (CA) rules by introducing a new matrix multiplication operation using only AND, OR instead of most commonly used…

Discrete Mathematics · Computer Science 2008-08-12 Sudhakar Sahoo , Sanjaya Sahoo , Birendra Kumar Nayak , Pabitra Pal Choudhury

In this paper we introduce the notion of quasi-expansivity for 2D CA and we show that it shares many properties with expansivity (that holds only for 1D CA). Similarly, we introduce the notions of quasi-sensitivity and prove that the…

Formal Languages and Automata Theory · Computer Science 2009-09-29 Enrico Formenti , Alberto Dennunzio , Michael Weiss

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the…

Machine Learning · Computer Science 2021-02-09 Haishan Ye , Tong Zhang

Cellular automata (CA) have been found as an attractive modeling tool for various applications, such as, pattern recognition, image processing, data compression, encryption, and specially for VLSI design & test. For such applications,…

Formal Languages and Automata Theory · Computer Science 2013-11-28 Sukanta Das , Biplab K Sikdar

A Cellular Automata (CA) is a computing model of complex System using simple rule. In CA the problem space into number of cell and each cell can be one or several final state. Cells are affected by neighbours' to the simple rule. Cellular…

Cryptography and Security · Computer Science 2010-06-15 Debasis Das , Abhishek Ray

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

Machine Learning · Computer Science 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis

Cellular Automata (CA) are common and most simple models of parallel computations. Edge detection is one of the crucial task in image processing, especially in processing biological and medical images. CA can be successfully applied in…

Computer Vision and Pattern Recognition · Computer Science 2014-02-07 Deepak Ranjan Nayak , Sumit Kumar Sahu , Jahangir Mohammed

We present a sequential cellular automaton of radius 2 1 as a solution to the density classification task that makes use of an intermediate alphabet, and converges to a clean fixed point with no remaining auxiliary or intermediate…

Discrete Mathematics · Computer Science 2024-09-11 Pacôme Perrotin , Pedro Paulo Balbi , Eurico Ruivo

Theoretical analyses of the Dendritic Cell Algorithm (DCA) have yielded several criticisms about its underlying structure and operation. As a result, several alterations and fixes have been suggested in the literature to correct for these…

Machine Learning · Computer Science 2013-07-05 Feng Gu , Jan Feyereisl , Robert Oates , Jenna Reps , Julie Greensmith , Uwe Aickelin

A general mathematical method is presented for the systematic construction of coupled map lattices (CMLs) out of deterministic cellular automata (CAs). The entire CA rule space is addressed by means of a universal map for CAs that we have…

Cellular Automata and Lattice Gases · Physics 2016-06-09 Vladimir García-Morales