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This is an exposition of some of the aspects of quantum computation and quantum information that have connections with operator theory. After a brief introduction, we discuss quantum algorithms. We outline basic properties of quantum…

Operator Algebras · Mathematics 2007-05-23 David W. Kribs

Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has…

Machine Learning · Computer Science 2024-06-10 Vincent Cohen-Addad , Tommaso d'Orsi , Silvio Lattanzi , Rajai Nasser

Animation, which is basically a form of pictorial presentation, has become the most prominent feature of technology-based learning environments. It refers to simulated motion pictures showing movement of drawn objects. Recently, educational…

Graphics · Computer Science 2013-12-09 Sajid Musa , Rushan Ziatdinov , Carol Griffiths

Solid modeling is a technique underlying CAD software as we see it today, and its theories and algorithms are among the most fundamental milestones in the historical development of CAD. Basically, it has answered the question of what…

Graphics · Computer Science 2023-03-01 Qiang Zou

Recently, many artists and creative technologists created computer programming as a goal to create something expressive instead of something functional. In this paper, I analyzed 18 creative coding projects from the Google DevArt…

Human-Computer Interaction · Computer Science 2020-05-19 Youyang Hou

The article contains an outline of a possible new direction for Computability Logic (see www.csc.villanova.edu/~japaridz/CL/ ), focused on computability without infinite memory or other impossible-to-possess computational resources. The new…

Logic in Computer Science · Computer Science 2024-11-05 Giorgi Japaridze

Computational reductions are an important and powerful concept in computer science. However, they are difficult for many students to grasp. In this paper, we outline a concept for how the learning of reductions can be supported by…

Computers and Society · Computer Science 2024-10-07 Tristan Kneisel , Elias Radtke , Marko Schmellenkamp , Fabian Vehlken , Thomas Zeume

We give a short introduction to the theory of modular metric spaces. This is a corrected version of the paper [1], which had some errors. We are grateful to V. V. Chistyakov for bringing these to our attention.

Functional Analysis · Mathematics 2022-03-24 Hana Abobaker , Raymond A. Ryan

This survey samples from the ever-growing family of adaptive resonance theory (ART) neural network models used to perform the three primary machine learning modalities, namely, unsupervised, supervised and reinforcement learning. It…

Neural and Evolutionary Computing · Computer Science 2019-05-29 Leonardo Enzo Brito da Silva , Islam Elnabarawy , Donald C. Wunsch

In this course we introduce the main notions relative to the classical theory of modular forms. A complete treatise in a similar style can be found in the author's book joint with F. Str{\"o}mberg [1].

Number Theory · Mathematics 2018-10-01 Henri Cohen

THIS PAPER IS NOW DEFUNCT: Check out "Graph Embeddings via Tensor Products and Approximately Orthonormal Codes", where it has been combined into one paper.

Machine Learning · Statistics 2023-05-16 Frank Qiu

In the present paper, we describe some experiences in using programming, commands and graphical interfaces based on computer algebra systems, as tools for learning Physics and Mathematics.

Physics Education · Physics 2014-01-08 Danilo T. Alves , Silvio C. F. Pereira Filho

Group theory is a particularly fertile field for the design of practical algorithms. Algorithms have been developed across the various branches of the subject and they find wide application. Because of its relative maturity, computational…

Group Theory · Mathematics 2009-09-25 John Cannon , George Havas

The essay is an attempt to re-create the wonderful scientific atmosphere that emerged after the basic BCS ideas first arrived in Russia in 1957. It summarizes the most significant contributions to the microscopic theory of superconductivity…

History and Philosophy of Physics · Physics 2016-12-21 Lev P. Gor'kov

The paper contains a description of the links of complex surface germ.

Algebraic Geometry · Mathematics 2026-02-04 Francoise Michel

This is a mainly expository sketch showing how some integrable systems (e.g. KP or KdV) can be viewed as quantum mechanical in nature.

Quantum Physics · Physics 2007-05-23 Robert Carroll

We suggest a diagrammatic model of computation based on an axiom of distributivity. A diagram of a decorated coloured tangle, similar to those that appear in low dimensional topology, plays the role of a circuit diagram. Equivalent diagrams…

Computational Complexity · Computer Science 2015-07-23 Avishy Y. Carmi , Daniel Moskovich

How does the machine classify styles in art? And how does it relate to art historians' methods for analyzing style? Several studies have shown the ability of the machine to learn and predict style categories, such as Renaissance, Baroque,…

Artificial Intelligence · Computer Science 2018-02-13 Ahmed Elgammal , Marian Mazzone , Bingchen Liu , Diana Kim , Mohamed Elhoseiny

Plots of quadratic residues display some features that are analyzed mathematically.

Number Theory · Mathematics 2007-05-23 I. Jimenez Calvo

Explaining Cybersecurity with Films and the Arts

Cryptography and Security · Computer Science 2019-05-07 Luca Viganò
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