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Some notes and observations on analytic functions defined on an annulus

Complex Variables · Mathematics 2011-05-17 Pietro Poggi-Corradini

A mimic computing oriented automaton can directly portray the behaviors of a mimic computing system. In this paper, we investigate the following theoretical problems on this type of automata: operational semantics and computational ability.…

Formal Languages and Automata Theory · Computer Science 2018-01-30 Weijun Zhu

This is a very basic introduction to some notions related to logic and complexity.

Logic · Mathematics 2007-05-23 Stephen Semmes

In this article, I show that a recent family of quantum algorithms, based on the quantum amplitude amplification algorithm, can be used to describe a cognitive heuristic called availability bias. The amplitude amplification algorithm is…

Quantum Physics · Physics 2008-10-07 Riccardo Franco

We discuss various universality aspects of numerical computations using standard algorithms. These aspects include empirical observations and rigorous results. We also make various speculations about computation in a broader sense.

Probability · Mathematics 2017-03-24 Percy Deift , Thomas Trogdon

We present some informal remarks on aspects of relativistic quantum computing.

Quantum Physics · Physics 2007-05-23 S. Pakvasa , W. Simmons , X. Tata

Studies of strongly nonlinear dynamical systems such as turbulent flows call for superior computational prowess. With the advent of quantum computing, a plethora of quantum algorithms have demonstrated, both theoretically and…

Quantum Physics · Physics 2025-04-30 Sachin S. Bharadwaj , Katepalli R. Sreenivasan

Capacity analysis has been recently introduced as a way to analyze how linear models distribute their modelling capacity across the input space. In this paper, we extend the notion of capacity allocation to the case of neural networks with…

Machine Learning · Computer Science 2019-02-28 Jonathan Donier

Inspired by computer assisted proofs in analysis, we present an interval approach to real-number computations.

Logic in Computer Science · Computer Science 2018-04-16 Małgorzata Moczurad , Piotr Zgliczyński

Classical planning asks for a sequence of operators reaching a given goal. While the most common case is to compute a plan, many scenarios require more than that. However, quantitative reasoning on the plan space remains mostly unexplored.…

Artificial Intelligence · Computer Science 2025-02-04 David Speck , Markus Hecher , Daniel Gnad , Johannes K. Fichte , Augusto B. Corrêa

In a resource-constrained, contested environment, computing resources need to be aware of possible size, weight, and power (SWaP) restrictions. SWaP-aware computational efficiency depends upon optimization of computational resources and…

Artificial Intelligence · Computer Science 2019-02-15 Mee Seong Im , Venkat R. Dasari , Lubjana Beshaj , Dale Shires

We present a survey on analog models of computations. Analog can be understood both as computing by analogy, or as working on the continuum. We consider both approaches, often intertwined, with a point of view mostly oriented by computation…

Computational Complexity · Computer Science 2018-05-16 Olivier Bournez , Amaury Pouly

Analog computers can be revived as a feasible technology platform for low precision, energy efficient and fast computing. We justify this statement by measuring the performance of a modern analog computer and comparing it with that of…

Computational Physics · Physics 2021-12-20 Sven Köppel , Bernd Ulmann , Lars Heimann , Dirk Killat

This article outlines our point of view regarding the applicability, state-of-the-art, and potential of quantum computing for problems in finance. We provide an introduction to quantum computing as well as a survey on problem classes in…

Recent progress in artificial intelligence provides the opportunity to ask the question of what is unique about human intelligence, but with a new comparison class. I argue that we can understand human intelligence, and the ways in which it…

Artificial Intelligence · Computer Science 2020-09-30 Thomas L. Griffiths

This is a short introduction to quantum computers, quantum algorithms and quantum error correcting codes. Familiarity with the principles of quantum theory is assumed. Emphasis is put on a concise presentation of the principles avoiding…

Quantum Physics · Physics 2007-05-23 Christof Zalka

We derive an analytical calculation formula for the channel capacity of a classical channel without any iteration while its existing algorithms require iterations and the number of iteration depends on the required precision level. Hence,…

Information Theory · Computer Science 2024-09-10 Masahito Hayashi

We review the field of Optical Quantum Computation, considering the various implementations that have been proposed and the experimental progress that has been made toward realizing them. We examine both linear and nonlinear approaches and…

Quantum Physics · Physics 2019-01-07 T. C. Ralph , G. J. Pryde

We discuss computing issues for data analysis and image reconstruction of PET-TOF medical scanner or other medical scanning devices producing large volumes of data. Service architecture based on the grid and cloud concepts for distributed…

In this article a few of the qualitative spatio-temporal knowledge representation techniques developed by the constraint reasoning community within artificial intelligence are reviewed. The objective is to provide a broad exposure to any…

Artificial Intelligence · Computer Science 2018-12-07 Debasis Mitra
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