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General purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this work we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably…

Systems and Control · Computer Science 2018-07-11 Petter Nilsson , Necmiye Ozay

This effort examines the intersection of the emerging field of quantum computing and the more established field of evolutionary computation. The goal is to understand what benefits quantum computing might offer to computational intelligence…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Donald A. Sofge

Neural network models of real-world systems, such as industrial processes, made from sensor data must often rely on incomplete data. System states may not all be known, sensor data may be biased or noisy, and it is not often known which…

Neural and Evolutionary Computing · Computer Science 2007-06-08 Donald A. Sofge , David L. Elliott

We consider discrete-time plants that interact with their controllers via fixed discrete alphabets. For this class of systems, and in the absence of exogenous inputs, we propose a general, conceptual procedure for constructing a sequence of…

Optimization and Control · Mathematics 2014-02-18 Danielle C. Tarraf

The finite element method can be viewed as a machine that automates the discretization of differential equations, taking as input a variational problem, a finite element and a mesh, and producing as output a system of discrete equations.…

Numerical Analysis · Mathematics 2011-12-05 Anders Logg

We present Generative Adversarial Networks (GANs), in which the symmetric property of the generated images is controlled. This is obtained through the generator network's architecture, while the training procedure and the loss remain the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Irad Peleg , Lior Wolf

In this paper, a new non-search based synthesis algorithm for reversible circuits is proposed. Compared with the widely used search-based methods, our algorithm is guarantied to produce a result and can lead to a solution with much fewer…

Quantum Physics · Physics 2010-04-12 Mehdi Saeedi , Mehdi Sedighi , Morteza Saheb Zamani

The paper introduces final state identification (synchronizing and homing) sequences for Timed Finite State Machines (TFSMs) with output delays and investigates their properties. We formally define the notions of homing sequences (HSs) and…

Formal Languages and Automata Theory · Computer Science 2025-10-08 Evgenii Vinarskii , Jakub Ruszil , Adam Roman , Natalia Kushik

We investigate the ability of a genetic algorithm to design cellular automata that perform computations. The computational strategies of the resulting cellular automata can be understood using a framework in which ``particles'' embedded in…

adap-org · Physics 2015-06-30 James P. Crutchfield , Melanie Mitchell , Rajarshi Das

The problem of automatic software generation is known as Machine Programming. In this work, we propose a framework based on genetic algorithms to solve this problem. Although genetic algorithms have been used successfully for many problems,…

Neural and Evolutionary Computing · Computer Science 2023-04-04 Shantanu Mandal , Todd A. Anderson , Javier S. Turek , Justin Gottschlich , Shengtian Zhou , Abdullah Muzahid

A method of fast linear transform algorithm synthesis for an arbitrary tensor, matrix, or vector is proposed. The method is based on factorization of a tensor and using the factors for building computational structures performing fast…

Data Structures and Algorithms · Computer Science 2016-02-24 Pavel Dourbal

Genetic algorithms (GAs) emulate the process of biological evolution, in a computational setting, in order to generate good solutions to difficult search and optimisation problems. GA-based optimisers tend to be extremely robust and…

Instrumentation and Methods for Astrophysics · Physics 2012-02-09 Vinesh Rajpaul

We present a suite of algorithmic techniques for handling substitution tilings by treating a tile's hierarchy of supertiles in a purely combinatorial fashion using finite state automata. The resulting techniques are very convenient for…

Combinatorics · Mathematics 2026-03-17 Simon Tatham

This paper presents a novel approach to constructing finite generating sets for infinitely generated ideals. By integrating algebraic and computational techniques, we provide a method to identify finite generators, demonstrated through…

Commutative Algebra · Mathematics 2025-08-08 Takafumi Shibuta

Hereditarily finite (HF) set theory provides a standard universe of sets, but with no infinite sets. Its utility is demonstrated through a formalisation of the theory of regular languages and finite automata, including the Myhill-Nerode…

Formal Languages and Automata Theory · Computer Science 2015-05-08 Lawrence C. Paulson

We propose a new method to design adaptation algorithms that guarantee a certain prescribed level of performance and are applicable to systems with nonconvex parameterization. The main idea behind the method is, given the desired…

Optimization and Control · Mathematics 2007-05-23 I. Y. Tyukin , D. V. Prokhorov , Cees van Leeuwen

Functions of chemical composition are complex and discrete in nature making it impossible to optimize them with gradient methods. Genetic algorithms, which do not use derivative information, are used to maximize the thermal conductivity of…

Materials Science · Physics 2018-01-30 Alexander Kerr , Kieran Mullen

The concept of extended cloud requires efficient network infrastructure to support ecosystems reaching form the edge to the cloud(s). Standard approaches to network load balancing deliver static solutions that are insufficient for the…

Networking and Internet Architecture · Computer Science 2023-07-20 Marek Bolanowski , Alicja Gerka , Andrzej Paszkiewicz , Maria Ganzha , Marcin Paprzycki

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

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

Neural and Evolutionary Computing · Computer Science 2020-05-14 Karan Nayak