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Integral transformations are used to estimate high order derivatives of various special functions. Applications are given to numerical integration, where estimates of high order derivatives of the integrand are needed to achieve bounds on…

Numerical Analysis · Mathematics 2007-06-21 David M. Bradley

Permutation is the different arrangements that can be made with a given number of things taking some or all of them at a time. The notation P(n,r) is used to denote the number of permutations of n things taken r at a time. Permutation is…

Data Structures and Algorithms · Computer Science 2012-05-15 Youssef Bassil

We propose genetic algorithms, which are robust optimization techniques inspired by natural selection, to enhance the versatility of digital quantum simulations. In this sense, we show that genetic algorithms can be employed to increase the…

Quantum Physics · Physics 2016-06-22 U. Las Heras , U. Alvarez-Rodriguez , E. Solano , M. Sanz

Analyzing the computational complexity of evolutionary algorithms for binary search spaces has significantly increased their theoretical understanding. With this paper, we start the computational complexity analysis of genetic programming.…

Neural and Evolutionary Computing · Computer Science 2010-11-16 Greg Durrett , Frank Neumann , Una-May O'Reilly

The performance of different mutation operators is usually evaluated in conjunc-tion with specific parameter settings of genetic algorithms and target problems. Most studies focus on the classical genetic algorithm with different parameters…

Neural and Evolutionary Computing · Computer Science 2016-06-03 Chun Liu , Andreas Kroll

We study the complexity of closure operators, with applications to machine learning and decision theory. In machine learning, closure operators emerge naturally in data classification and clustering. In decision theory, they can model…

Theoretical Economics · Economics 2022-05-25 Hamed Hamze Bajgiran , Federico Echenique

The general translator formalism and computing specific implementations are proposed. The implementation of specific elements necessary to process the source and destination information within the translators are presented. Some common…

Computation and Language · Computer Science 2022-12-23 Iosif Iulian Petrila

In terms of the concepts of state and state transition, a new algorithm-State Transition Algorithm (STA) is proposed in order to probe into classical and intelligent optimization algorithms. On the basis of state and state transition, it…

Optimization and Control · Mathematics 2012-10-15 Xiaojun Zhou , Chunhua Yang , Weihua Gui

Matrix coordinate transformations are defined as substitution operators without requiring an ordering prescription or an inclusion function from the Abelian coordinate transformations. We construct transforming objects mimicking most of the…

High Energy Physics - Theory · Physics 2008-11-26 J. Adam , B. Janssen , W. Troost , W. Van Herck

Genetic programming is a powerful heuristic search technique that is used for a number of real world applications to solve among others regression, classification, and time-series forecasting problems. A lot of progress towards a theoretic…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Gabriel Kronberger , Stephan Winkler , Michael Affenzeller , Andreas Beham , Stefan Wagner

Mutation testing is the state-of-the-art technique for assessing the fault-detection capacity of a test suite. Unfortunately, mutation testing consumes enormous computing resources because it runs the whole test suite for each and every…

Software Engineering · Computer Science 2018-10-10 Sten Vercammen , Mohammad Ghafari , Serge Demeyer , Markus Borg

Use of intelligent decision aids can help alleviate the challenges of planning complex operations. We describe integrated algorithms, and a tool capable of translating a high-level concept for a tactical military operation into a fully…

Artificial Intelligence · Computer Science 2016-01-25 Alexander Kott , Ray Budd , Larry Ground , Lakshmi Rebbapragada , John Langston

A recent trend is to leverage machine learning models to improve the evolutionary design and optimization process. We propose a novel transformer-based mutation operator for Cartesian genetic programming (CGP) for the automated design of…

Neural and Evolutionary Computing · Computer Science 2026-05-21 Ondrej Galeta , Lukas Sekanina

The GPT (Generative Pre-trained Transformer) language models are an artificial intelligence and natural language processing technology that enables automatic text generation. There is a growing interest in applying GPT language models to…

Computers and Society · Computer Science 2024-03-25 Manuel de Buenaga , Francisco Javier Bueno

In Search Based Software Engineering, Genetic Programming has been used for bug fixing, performance improvement and parallelisation of programs through the modification of source code. Where an evolutionary computation algorithm, such as…

Neural and Evolutionary Computing · Computer Science 2012-11-22 Brendan Cody-Kenny , Stephen Barrett

Since simulating quantum computers requires exponentially more classical resources, efficient algorithms are extremely helpful. We analyze algorithms that create single qubit and specific controlled qubit matrix representations of gates.…

Quantum Physics · Physics 2007-05-23 Eric Hsu

Permutation codes were extensively studied in order to correct different types of errors for the applications on power line communication and rank modulation for flash memory. In this paper, we introduce the neural network decoders for…

Information Theory · Computer Science 2022-06-08 Yeow Meng Chee , Hui Zhang

We propose and demonstrate scheme for direct experimental testing of quantum commutation relations for Pauli operators. The implemented device is an advanced quantum processor that involves two programmable quantum gates. Depending on a…

Quantum Physics · Physics 2010-09-23 Xing-Can Yao , Jaromir Fiurasek , He Lu , Wei-Bo Gao , Yu-Ao Chen , Zeng-Bing Chen , Jian-Wei Pan

Predicting the cheapest sample size for the optimal stratification in multivariate survey design is a problem in cases where the population frame is large. A solution exists that iteratively searches for the minimum sample size necessary to…

Methodology · Statistics 2018-06-18 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

Before we proposed an algebraic technics for the Hamiltonian approach to the evolution systems of partial differential equations, including systems with constraints. Here we further develop this approach and present the defining system of…

Mathematical Physics · Physics 2018-03-13 Victor Zharinov