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Visual insights into a wide variety of statistical methods, for both didactic and data analytic purposes, can often be achieved through geometric diagrams and geometrically based statistical graphs. This paper extols and illustrates the…

Methodology · Statistics 2013-02-21 Michael Friendly , Georges Monette , John Fox

We investigate creativity that is underlined in the Universal Declaration of Human Rights (UDHR) to present design considerations for Computational Creativity (CC) systems. We find this declaration to describe creativity in salient aspects…

Human-Computer Interaction · Computer Science 2025-07-29 Alayt Issak

Computational imaging has been playing a vital role in the development of natural sciences. Advances in sensory, information, and computer technologies have further extended the scope of influence of imaging, making digital images an…

Image and Video Processing · Electrical Eng. & Systems 2022-02-25 Bin Dong

This study explores the influence of an interdisciplinary intervention on creative problem-solving skills. Literature deems such skills as vital for software engineering (SE) students in higher education. 39 SE students and graphic design…

Software Engineering · Computer Science 2023-07-04 Arne Duyver , Wouter Groeneveld , Kris Aerts

I intend to make a scientific contribution of my subjective experience as a single unit of self-described ``artist'' leveraging artificial intelligence as an assistive visual creation tool, in the hopes that it may provide some inspiration…

Human-Computer Interaction · Computer Science 2022-12-22 Jane Adams

The information technology explosion has dramatically increased the application of new mathematical ideas and has led to an increasing use of mathematics across a wide range of fields that have been traditionally labeled "pure" or…

History and Overview · Mathematics 2018-09-18 Katherine Gravel , Hayden Jananthan , Jeremy Kepner

Artificial Intelligence significantly enhances the visual art industry by analyzing, identifying and generating digitized artistic images. This review highlights the substantial benefits of integrating geometric data into AI models,…

Artificial Intelligence · Computer Science 2024-12-03 Mridula Vijendran , Jingjing Deng , Shuang Chen , Edmond S. L. Ho , Hubert P. H. Shum

The goal of this study was to investigate the translate-ability of creative works into other domains. We tested whether people were able to recognize which works of art were inspired by which pieces of music. Three expert painters created…

Neurons and Cognition · Quantitative Biology 2019-07-11 Apara Ranjan , Liane Gabora , Brian O'Connor

The Fatou-Julia theory for rational functions has been extended both to transcendental meromorphic functions and more recently to several different types of quasiregular mappings in higher dimensions. We extend the iterative theory to…

Dynamical Systems · Mathematics 2018-05-04 Luke Warren

Intricate patterns in abstract art many times can be wrongly characterized as being complex. Complexity can be an indicator of the internal dynamic of the whole system, regardless of the type of system in question, including art creation.…

Pattern Formation and Solitons · Physics 2020-12-14 Elsa de la Calleja , Roberto Zenit

In this paper we introduce the notion of dynamical systems over the class of the normed real nonassociative algebras not necessarily finite-dimensional, generalize the classical filled Julia and Mandelbrot sets over the complex numbers,…

Dynamical Systems · Mathematics 2020-09-22 João Carlos da Motta Ferreira , Maria das Graças Bruno Marietto

Shallow Art presents, implements, and tests the use of simple single-output classification and regression models for the purpose of art generation. Various machine learning algorithms are trained on collections of computer generated images,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Kyle Robinson , Dan Brown

The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry. In this survey, we briefly describe some open problems related to algebraic curves which can be…

Commutative Algebra · Mathematics 2007-05-23 Tanush Shaska

Gender representation in mass media has long been mainly studied by qualitatively analyzing content. This article illustrates how automated computational methods may be used in this context to scale up such empirical observations and…

Computers and Society · Computer Science 2021-05-13 Antoine Mazieres , Telmo Menezes , Camille Roth

Visual design is associated with the use of some basic design elements and principles. Those are applied by the designers in the various disciplines for aesthetic purposes, relying on an intuitive and subjective process. Thus, numerical…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Gozdenur Demir , Asli Cekmis , Vahit Bugra Yesilkaynak , Gozde Unal

Computational Thinking (CT) has emerged as a critical component in modern education, essential to equip students with the skills necessary to thrive in a technology-driven world. This survey provides a comprehensive analysis of the presence…

Computers and Society · Computer Science 2025-10-21 Roberto Massi De Oliveira , M^onica Cristina Garbin , Rodolfo Azevedo

There is a growing recognition that artists use valuable ways to understand and work with cognitive and perceptual mechanisms to convey desired experiences and narrative in their created artworks (DiPaola et al., 2010; Zeki, 2001). This…

Artificial Intelligence · Computer Science 2020-09-14 Ozge Nilay Yalcin , Nouf Abukhodair , Steve DiPaola

The TTE approach to Computable Analysis is the study of so-called representations (encodings for continuous objects such as reals, functions, and sets) with respect to the notions of computability they induce. A rich variety of such…

Computational Complexity · Computer Science 2023-06-22 Carsten Rösnick-Neugebauer

We give an introduction to buried points in Julia sets and a list of questions about buried points, written to encourage aficionados of topology and dynamics to work on these questions.

Dynamical Systems · Mathematics 2010-07-01 Clinton P. Curry , John C. Mayer

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as…

Optimization and Control · Mathematics 2015-03-20 Miles Lubin , Iain Dunning