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The main goal of this paper is to give a rigorous mathematical description of systems for processing quantum information. To do it authors consider abstract state machines as models of classical computational systems. This class of machines…

Computational Complexity · Computer Science 2012-06-12 Mizal Alobaidi , Andriy Batyiv , Grygoriy Zholtkevych

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

In this paper we study cellular automata (CAs) that perform the computational Majority task. This task is a good example of what the phenomenon of emergence in complex systems is. We take an interest in the reasons that make this particular…

Artificial Intelligence · Computer Science 2007-09-26 Sébastien Verel , Philippe Collard , Marco Tomassini , Leonardo Vanneschi

Classical Cellular Automata (CCAs) are a powerful computational framework for modeling global spatio-temporal dynamics with local interactions. While CCAs have been applied across numerous scientific fields, identifying the local rule that…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Faizal Hafiz , Amelia Kunze , Enrico Formenti , Davide La Torre

Computational power can be measured by assigning an algebraic structure to a computational device. Here, we convert a small patch of Conway's Game of Life into a transformation semigroup. The conversion captures not only time evolution but…

Cellular Automata and Lattice Gases · Physics 2026-04-17 Attila Egri-Nagy , Chrystopher L. Nehaniv

We study the problem of automated mechanism design with partial verification, where each type can (mis)report only a restricted set of types (rather than any other type), induced by the principal's limited verification power. We prove…

Computer Science and Game Theory · Computer Science 2021-04-13 Hanrui Zhang , Yu Cheng , Vincent Conitzer

Efficient characterization of quantum devices is a significant challenge critical for the development of large scale quantum computers. We consider an experimentally motivated situation, in which we have a decent estimate of the…

Quantum Physics · Physics 2021-04-12 Przemyslaw Bienias , Alireza Seif , Mohammad Hafezi

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

In this work, we present multiple new optimizations and heuristics for the determinization of B\"uchi automata that exploit a number of semantic and structural properties, most of which may be applied together with any determinization…

Formal Languages and Automata Theory · Computer Science 2020-04-30 Christof Löding , Anton Pirogov

Modern distributed systems include a class of applications in which non-functional requirements are important. In particular, these applications include multimedia facilities where real time constraints are crucial to their correct…

Multimedia · Computer Science 2007-05-23 Jeremy Bryans , Howard Bowman , John Derrick

Many algorithms to detect communities in networks typically work without any information on the cluster structure to be found, as one has no a priori knowledge of it, in general. Not surprisingly, knowing some features of the unknown…

Physics and Society · Physics 2014-12-02 Richard K. Darst , Zohar Nussinov , Santo Fortunato

Image segmentation has come a long way since the early days of computer vision, and still remains a challenging task. Modern variations of the classical (purely bottom-up) approach, involve, e.g., some form of user assistance (interactive…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Eyasu Zemene , Leulseged Tesfaye Alemu , Marcello Pelillo

We propose an iterative algorithm to investigate the cooperative evolution dominated by information encoded within state spaces in a random quantum cellular automaton. Inspired by the 2-gram model in statistical linguistics, the updates of…

Quantum Physics · Physics 2025-04-22 Guanhua Chen , Yao Yao

Cellular automata are one-dimensional arrays of interconnected interacting finite automata. We investigate one of the weakest classes, the real-time one-way cellular automata, and impose an additional restriction on their inter-cell…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Martin Kutrib , Andreas Malcher

Multi-task learning (MTL) has recently contributed to learning better representations in service of various NLP tasks. MTL aims at improving the performance of a primary task, by jointly training on a secondary task. This paper introduces…

Machine Learning · Computer Science 2017-09-21 Davis Liang , Yan Shu

In the constrained synchronization problem we ask if a given automaton admits a synchronizing word coming from a fixed regular constraint language. We show that intersecting a given constraint language with an ideal language decreases the…

Formal Languages and Automata Theory · Computer Science 2021-03-19 Stefan Hoffmann

Technology of formal quantitative estimation of the conformity of the mathematical models to the available dataset is presented. Main purpose of the technology is to make easier the model selection decision-making process for the…

Optimization and Control · Mathematics 2020-04-21 Alexander Sokolov , Vladimir Voloshinov

The expected improvement (EI) algorithm is a popular strategy for information collection in optimization under uncertainty. The algorithm is widely known to be too greedy, but nevertheless enjoys wide use due to its simplicity and ability…

Machine Learning · Computer Science 2017-05-30 Chao Qin , Diego Klabjan , Daniel Russo

Higher-order mutation has the potential for improving major drawbacks of traditional first-order mutation, such as by simulating more realistic faults or improving test optimization techniques. Despite interest in studying promising…

Software Engineering · Computer Science 2020-04-07 Chu-Pan Wong , Jens Meinicke , Leo Chen , João P. Diniz , Christian Kästner , Eduardo Figueiredo

This work introduces a new problem, named as, affinity classification problem which is a generalization of the density classification problem. To solve this problem, we introduce temporally stochastic cellular automata where two rules are…

Formal Languages and Automata Theory · Computer Science 2022-07-13 Kamalika Bhattacharjee , Subrata Paul , Sukanta Das