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Symbolic regression (SR) traditionally balances accuracy and complexity, implicitly assuming that simpler formulas are structurally more rational. We argue that this assumption is insufficient: existing algorithms often exploit this metric…

Machine Learning · Computer Science 2026-02-03 Zihan Yu , Guanren Wang , Jingtao Ding , Huandong Wang , Yong Li

An outstanding challenge with the Integrated Information Theory of Consciousness (IIT) is to find a way of rapidly and accurately calculating integrated information from neural data. A number of measures of integrated information based on…

Neurons and Cognition · Quantitative Biology 2016-05-05 Daniel Toker , Friedrich Sommer

The ability to integrate information in the brain is considered to be an essential property for cognition and consciousness. Integrated Information Theory (IIT) hypothesizes that the amount of integrated information ($\Phi$) in the brain is…

Neurons and Cognition · Quantitative Biology 2018-04-04 Jun Kitazono , Ryota Kanai , Masafumi Oizumi

The paper reviews two prominent approaches for the measurement of technological complexity: the method of reflection and the assessment of technologies' combinatorial difficulty. It discusses their central underlying assumptions and…

Applications · Statistics 2018-03-12 Tom Broekel

Quantifying the complexity of quantum states that possess intrinsic structure, such as symmetry or encoding, in a fair manner constitutes a core challenge in the benchmarking of quantum technologies. This paper introduces the…

Quantum Physics · Physics 2025-12-30 HongZheng Liu , YiNuo Tian , Zhiyue Wu

In this paper, we provide a systematic approach for assessing and comparing the computational complexity of neural network layers in digital signal processing. We provide and link four software-to-hardware complexity measures, defining how…

Signal Processing · Electrical Eng. & Systems 2024-03-12 Pedro Freire , Sasipim Srivallapanondh , Antonio Napoli , Jaroslaw E. Prilepsky , Sergei K. Turitsyn

The Structural Similarity Index (SSIM) is generally considered to be a milestone in the recent history of Image Quality Assessment (IQA). Alas, SSIM's accepted development from the product of three heuristic factors continues to obscure…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Kieran Gerard Larkin

Handling visual complexity is a challenging problem in visualization owing to the subjectiveness of its definition and the difficulty in devising generalizable quantitative metrics. In this paper we address this challenge by measuring the…

Artificial Intelligence · Computer Science 2013-02-26 B. Duffy , A. Dasgupta , R. Kosara , S. Walton , M. Chen

Context dependence is central to the description of complexity. Keying on the pairwise definition of "set complexity" we use an information theory approach to formulate general measures of systems complexity. We examine the properties of…

Information Theory · Computer Science 2013-08-21 David J. Galas , Nikita A. Sakhanenko , Alexander Skupin , Tomasz Ignac

Understanding dataset complexity is fundamental to evaluating and comparing link prediction models on knowledge graphs (KGs). While the Cumulative Spectral Gradient (CSG) metric, derived from probabilistic divergence between classes within…

Machine Learning · Computer Science 2025-08-22 Haji Gul , Abul Ghani Naim , Ajaz Ahmad Bhat

The vision of the Semantic Web (SW) is gradually unfolding and taking shape through a web of linked data, a part of which is built by capturing semantics stored in existing knowledge organization systems (KOS), subject metadata and resource…

Information Retrieval · Computer Science 2017-05-22 Aida Slavic

Complexity of patterns is a key information for human brain to differ objects of about the same size and shape. Like other innate human senses, the complexity perception cannot be easily quantified. We propose a transparent and universal…

Pattern Formation and Solitons · Physics 2020-12-30 Andrey A. Bagrov , Ilia A. Iakovlev , Askar A. Iliasov , Mikhail I. Katsnelson , Vladimir V. Mazurenko

In the realm of embodied artificial intelligence, the reasoning capabilities of Large Language Models (LLMs) play a pivotal role. Although there are effective methods like program-of-thought prompting for LLMs which uses programming…

Computation and Language · Computer Science 2023-12-19 Zhen Bi , Ningyu Zhang , Yinuo Jiang , Shumin Deng , Guozhou Zheng , Huajun Chen

Qualitative data analysis provides insight into the underlying perceptions and experiences within unstructured data. However, the time-consuming nature of the coding process, especially for larger datasets, calls for innovative approaches,…

Human-Computer Interaction · Computer Science 2024-03-12 Elisabeth Kirsten , Annalina Buckmann , Abraham Mhaidli , Steffen Becker

This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about 'information compression via the matching and unification of patterns' (ICMUP). ICMUP is itself a novel approach to…

Artificial Intelligence · Computer Science 2018-10-10 J Gerard Wolff

Many researchers have criticized the field of Software Complexity metrics for the lack of testing, verification, and reproducibility of many metrics and case studies that utilized those metrics. This document describes SMF, a tool that can…

Software Engineering · Computer Science 2017-11-20 Charles Hathaway

Enforcing security requirements in networked information systems relies on security controls to mitigate the risks from increasingly dangerous threats. Configuring security controls is challenging; even nowadays, administrators must perform…

Cryptography and Security · Computer Science 2025-01-14 Cataldo Basile , Gabriele Gatti , Francesco Settanni

This paper presents an approach to the study of cognitive activities in collaborative software development. This approach has been developed by a multidisciplinary team made up of software engineers and cognitive psychologists. The basis of…

Human-Computer Interaction · Computer Science 2016-08-14 Pierre Robillard , Patrick D'Astous , Françoise Détienne , Willemien Visser

Complex systems are found in most branches of science. It is still argued how to best quantify their complexity and to what end. One prominent measure of complexity (the statistical complexity) has an operational meaning in terms of the…

Data Analysis, Statistics and Probability · Physics 2011-10-24 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

Tractable models of human perception have proved to be challenging to build. Hand-designed models such as MS-SSIM remain popular predictors of human image quality judgements due to their simplicity and speed. Recent modern deep learning…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Sangnie Bhardwaj , Ian Fischer , Johannes Ballé , Troy Chinen
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