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Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

In the fields of Experimental and Computational Aesthetics, numerous image datasets have been created over the last two decades. In the present work, we provide a comparative overview of twelve image datasets that include aesthetic ratings…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Ralf Bartho , Katja Thoemmes , Christoph Redies

Mathematical research is often motivated by the desire to reach a beautiful result or to prove it in an elegant way. Mathematician's work is thus strongly influenced by his aesthetic judgments. However, the criteria these judgments are…

History and Overview · Mathematics 2024-05-10 Filip D. Jevtić , Jovana Kostić , Katarina Maksimović

Automatic photo aesthetic assessment is a challenging artificial intelligence task. Existing computational approaches have focused on modeling a single aesthetic score or a class (good or bad), however these do not provide any details on…

Computer Vision and Pattern Recognition · Computer Science 2017-07-14 Gautam Malu , Raju S. Bapi , Bipin Indurkhya

Graphs are commonly used to characterise interactions between objects of interest. Because they are based on a straightforward formalism, they are used in many scientific fields from computer science to historical sciences. In this paper,…

Machine Learning · Statistics 2015-06-24 Pierre Latouche , Fabrice Rossi

We automatically verify the crucial steps in the original proof of correctness of an algorithm which, given a geometric graph satisfying certain additional properties removes edges in a systematic way for producing a connected graph in…

Logic in Computer Science · Computer Science 2023-11-30 Lucas Böltz , Viorica Sofronie-Stokkermans , Hannes Frey

We present a graph theory-based method to characterise flow defects and structural shifts in condensed matter. We explore the connection between dynamical properties, particularly the recently introduced concept of ''softness'', and…

Disordered Systems and Neural Networks · Physics 2024-08-13 An Wang , Gabriele C. Sosso

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

Readability criteria have been addressed as a measurement of the quality of graph visualizations. In this paper, we argue that readability criteria are necessary but not sufficient. We propose a new kind of criteria, namely faithfulness, to…

Computational Geometry · Computer Science 2018-11-02 Quan Hoang Nguyen , Peter Eades

Many different classification tasks need to manage structured data, which are usually modeled as graphs. Moreover, these graphs can be dynamic, meaning that the vertices/edges of each graph may change during time. Our goal is to jointly…

Machine Learning · Computer Science 2019-08-20 Franco Manessi , Alessandro Rozza , Mario Manzo

In the past, the dichotomy between homophily and heterophily has inspired research contributions toward a better understanding of Deep Graph Networks' inductive bias. In particular, it was believed that homophily strongly correlates with…

Machine Learning · Computer Science 2023-08-21 Daniele Castellana , Federico Errica

This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

Machine Learning · Computer Science 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon

We revisit the long-standing question of the relation between image appreciation and its statistical properties. We generate two different sets of random images well distributed along three measures of entropic complexity. We run a…

Statistical Mechanics · Physics 2020-07-01 Samy Lakhal , Alexandre Darmon , Jean-Philippe Bouchaud , Michael Benzaquen

Readability criteria, such as distance or neighborhood preservation, are often used to optimize node-link representations of graphs to enable the comprehension of the underlying data. With few exceptions, graph drawing algorithms typically…

Data Structures and Algorithms · Computer Science 2020-08-14 Reyan Ahmed , Felice De Luca , Sabin Devkota , Stephen Kobourov , Mingwei Li

Aesthetics, among other criteria, can be statistically examined in terms of the complexity required for creating and decrypting a work of art. We propose three laws of aesthetic complexity. According to the first law of aesthetic…

Popular Physics · Physics 2009-09-29 Karl Svozil

Recently, there is a rising interest in perceiving image aesthetics. The existing works deal with image aesthetics as a classification or regression problem. To extend the cognition from rating to reasoning, a deeper understanding of…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Wenshan Wang , Su Yang , Weishan Zhang , Jiulong Zhang

Previous work in aesthetic categorization and explainability utilizes manual labeling and classification to explain aesthetic scores. These methods require a complex labeling process and are limited in size. Our proposed approach attempts…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Max Lisaius , Scott Wehrwein

This paper proposes a hypothesis for the aesthetic appreciation that aesthetic images make a neural network strengthen salient concepts and discard inessential concepts. In order to verify this hypothesis, we use multi-variate interactions…

Machine Learning · Computer Science 2021-08-06 Xu Cheng , Xin Wang , Haotian Xue , Zhengyang Liang , Quanshi Zhang

Graph-structured data arise naturally in many different application domains. By representing data as graphs, we can capture entities (i.e., nodes) as well as their relationships (i.e., edges) with each other. Many useful insights can be…

Artificial Intelligence · Computer Science 2018-07-24 John Boaz Lee , Ryan A. Rossi , Sungchul Kim , Nesreen K. Ahmed , Eunyee Koh

A graph theoretic perspective is taken for a range of phenomena in continuum physics in order to develop representations for analysis of large scale, high-fidelity solutions to these problems. Of interest are phenomena described by partial…

Computational Physics · Physics 2019-05-22 R. Banerjee , K. Sagiyama , G. H. Teichert , K. Garikipati
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