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A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented. It is shown that the…

Computational Complexity · Computer Science 2011-01-24 Hector Zenil

Genetic algorithm (GA) is typically used to solve nonlinear model predictive control's optimization problem. However, the size of the search space in which the GA searches for the optimal control inputs is crucial for its applicability to…

Optimization and Control · Mathematics 2025-01-22 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

Genetic algorithms, which mimic evolutionary processes to solve optimization problems, can be enhanced by using powerful semi-local search algorithms as mutation operators. Here, we introduce reverse quantum annealing, a class of quantum…

We present results from an experiment similar to one performed by Packard (1988), in which a genetic algorithm is used to evolve cellular automata (CA) to perform a particular computational task. Packard examined the frequency of evolved CA…

adap-org · Physics 2008-02-03 Melanie Mitchell , Peter Hraber , James P. Crutchfield

Here we propose an evolutionary algorithm that self modifies its operators at the same time that candidate solutions are evolved. This tackles convergence and lack of diversity issues, leading to better solutions. Operators are represented…

Neural and Evolutionary Computing · Computer Science 2017-12-19 Andres Felipe Cruz Salinas , Jonatan Gomez Perdomo

Context. Mathematical optimization can be used as a computational tool to obtain the optimal solution to a given problem in a systematic and efficient way. For example, in twice-differentiable functions and problems with no constraints, the…

Instrumentation and Methods for Astrophysics · Physics 2009-05-25 J. Canto , S. Curiel , E. Martinez-Gomez

We propose an extended genetic algorithm (GA) with different local environmental conditions. Genetic entities, or configurations, are put on nodes in a ring structure, and location-dependent environmental conditions are applied for each…

Data Analysis, Statistics and Probability · Physics 2022-06-22 Daekyung Lee , Beom Jun Kim

Reversibility of a one-dimensional finite cellular automaton (CA) is dependent on lattice size. A finite CA can be reversible for a set of lattice sizes. On the other hand, reversibility of an infinite CA, which is decided by exploring the…

Formal Languages and Automata Theory · Computer Science 2019-03-15 Kamalika Bhattacharjee , Sukanta Das

Reinforcement Learning (RL) has demonstrated significant potential in certain real-world industrial applications, yet its broader deployment remains limited by inherent challenges such as sample inefficiency and unstable learning dynamics.…

Machine Learning · Computer Science 2025-07-03 Tom Maus , Asma Atamna , Tobias Glasmachers

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail

Power dissipation is known as the most notable limiting factor in all nano-electronic design techniques including Quantum-dot Cellular Automata (QCA). The familiar reversible computing approach is used as a reasonably reliable solution,…

Emerging Technologies · Computer Science 2019-12-11 Moein Sarvaghad-Moghaddam , Ali A. Orouji , Zeinab Ramezani , Iraj Sadegh Amiri , Alireza Mahdavi Nejad

This paper reports on patterns exhibiting self-replication with spontaneous, inheritable mutations and exponential genetic drift in Neural Cellular Automata. Despite the models not being explicitly trained for mutation or inheritability,…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Lana Sinapayen

This paper presents our computational methodology using Genetic Algorithms (GA) for exploring the nature of RNA editing. These models are constructed using several genetic editing characteristics that are gleaned from the RNA editing system…

Neural and Evolutionary Computing · Computer Science 2007-05-23 C. Huang , L. M. Rocha

Cellular automata (CA) captivate researchers due to teh emergent, complex individualized behavior that simple global rules of interaction enact. Recent advances in the field have combined CA with convolutional neural networks to achieve…

Neural and Evolutionary Computing · Computer Science 2023-01-04 Marlene Grieskamp , Chaytan Inman , Shaun Lee

Partitioned cellular automata are known to be an useful tool to simulate linear and nonlinear problems in physics, specially because they allow for a straightforward way to define conserved quantities and reversible dynamics. Here we show…

Cellular Automata and Lattice Gases · Physics 2020-12-17 Pedro C. S. Costa , Fernando de Melo

Each cell of a two-dimensional lattice is painted one of k colors, arranged in a "color wheel." The colors advance (0 to k-1 mod k) either automatically or by contact with at least a threshold number of successor colors in a prescribed…

patt-sol · Physics 2008-02-03 Robert Fisch , Janko Gravner , David Griffeath

In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers associated with linear CA rules are…

Cellular Automata and Lattice Gases · Physics 2012-09-04 Birendra Kumar Nayak , Sudhakar Sahoo , Sagarika Biswal

Non-uniform cellular automata (NUCA) are an extension of cellular automata (CA), which transform cells according to multiple different local rules. A NUCA is defined by a configuration of local rules called a local rule distribution. We…

Dynamical Systems · Mathematics 2025-07-10 Katariina Paturi

This paper provides an in-depth empirical analysis of several evolutionary algorithms on the one-dimensional spin glass model with power-law interactions. The considered spin glass model provides a mechanism for tuning the effective range…

Disordered Systems and Neural Networks · Physics 2009-07-29 Martin Pelikan , Helmut G. Katzgraber

Many traditional signal recovery approaches can behave well basing on the penalized likelihood. However, they have to meet with the difficulty in the selection of hyperparameters or tuning parameters in the penalties. In this article, we…

Machine Learning · Statistics 2022-11-17 Bin Wang , Xiaofei Wang , Jianhua Guo
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