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Network or graph structures are ubiquitous in the study of complex systems. Often, we are interested in complexity trends of these system as it evolves under some dynamic. An example might be looking at the complexity of a food web as…

Information Theory · Computer Science 2007-07-16 Russell K. Standish

We present the parametric method SemSimp aimed at measuring semantic similarity of digital resources. SemSimp is based on the notion of information content, and it leverages a reference ontology and taxonomic reasoning, encompassing…

Artificial Intelligence · Computer Science 2023-02-09 Antonio De Nicola , Anna Formica , Michele Missikoff , Elaheh Pourabbas , Francesco Taglino

In the rapidly evolving field of quantum computing, quantifying circuit complexity remains a critical challenge. This paper introduces Character Complexity, a novel measure that bridges Group-theoretic concepts with practical quantum…

Quantum Physics · Physics 2024-09-19 Daksh Shami

In service to the mathematical underpinnings of the Information Integration Theory of Consciousness (IIT), we introduce four measures of integration based on the partial information decomposition framework. We compare our measures to…

Information Theory · Computer Science 2026-05-19 Virgil Griffith

We propose an operational, quantitative definition of intelligence for arbitrary physical systems. The intelligence density of a system is the ratio of the logarithm of its independent outputs to its total description length. A system…

Artificial Intelligence · Computer Science 2026-04-29 Kang-Sin Choi

In an era where social media platforms abound, individuals frequently share images that offer insights into their intents and interests, impacting individual life quality and societal stability. Traditional computer vision tasks, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Yin Tang , Jiankai Li , Hongyu Yang , Xuan Dong , Lifeng Fan , Weixin Li

This article attempts to describe specific mental techniques that are related to resolving very complex tasks in software engineering. This subject may be familiar to some software specialists to different extents; however, there is…

Software Engineering · Computer Science 2012-01-30 Igor Kusakov

We study a separable design for computing information measures, where the information measure is computed from learned feature representations instead of raw data. Under mild assumptions on the feature representations, we demonstrate that a…

Information Theory · Computer Science 2025-01-28 Xiangxiang Xu , Lizhong Zheng

Computational intelligence is broadly defined as biologically-inspired computing. Usually, inspiration is drawn from neural systems. This article shows how to analyze neural systems using information theory to obtain constraints that help…

Neurons and Cognition · Quantitative Biology 2018-05-11 Michael Wibral , Joseph T. Lizier , Viola Priesemann

In this article, we present a novel method for assessing the similarity of information within knowledge-bases using a logical point of view. This proposal introduces the concept of a similarity property space $\Xi$P for each knowledge K,…

Information Theory · Computer Science 2025-03-14 José-Luis Vilchis-Medina

We define {\em semantic complexity} using a new concept of {\em meaning automata}. We measure the semantic complexity of understanding of prepositional phrases, of an "in depth understanding system", and of a natural language interface to…

cmp-lg · Computer Science 2008-02-03 Wlodek Zadrozny

Traditional defect prediction approaches often use metrics that measure the complexity of the design or implementing code of a software system, such as the number of lines of code in a source file. In this paper, we explore a different…

Software Engineering · Computer Science 2024-09-30 Hung Viet Pham , Tung Thanh Nguyen

A major computational burden, while performing document clustering, is the calculation of similarity measure between a pair of documents. Similarity measure is a function that assigns a real number between 0 and 1 to a pair of documents,…

Information Retrieval · Computer Science 2013-03-19 Muhammad Rafi , Mohammad Shahid Shaikh

Software quality-in-use comprehends the quality from user's perspectives. It has gained its importance in e-learning applications, mobile service based applications and project management tools. User's decisions on software acquisitions are…

Software Engineering · Computer Science 2015-02-02 Issa Atoum , Chih How Bong , Narayanan Kulathuramaiyer

Component Based Software Engineering (CBSE) seeks to promote the reuse of software by using existing software modules into the development process. However, the availability of such a reusable component is not immediate and is costly and…

Software Engineering · Computer Science 2021-02-10 Cezar Sas , Andrea Capiluppi

We introduce a new information-theoretic complexity measure $IC_\infty$ for 2-party functions which is a lower-bound on communication complexity, and has the two leading lower-bounds on communication complexity as its natural relaxations:…

Computational Complexity · Computer Science 2016-06-29 Manoj M. Prabhakaran , Vinod M. Prabhakaran

This paper introduces a novel method for the representation of images that is semantic by nature, addressing the question of computation intelligibility in computer vision tasks. More specifically, our proposition is to introduce what we…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Maxime Bucher , Stéphane Herbin , Frédéric Jurie

What is the relationship between the complexity of a learner and the randomness of his mistakes? This question was posed in \cite{rat0903} who showed that the more complex the learner the higher the possibility that his mistakes deviate…

Information Theory · Computer Science 2009-09-01 Joel Ratsaby

What does the informational complexity of dynamical networked systems tell us about intrinsic mechanisms and functions of these complex systems? Recent complexity measures such as integrated information have sought to operationalize this…

Neural and Evolutionary Computing · Computer Science 2017-07-06 Xerxes D. Arsiwalla , Pedro A. M. Mediano , Paul F. M. J. Verschure

This paper establishes problem-specific sample complexity lower bounds for linear system identification problems. The sample complexity is defined in the PAC framework: it corresponds to the time it takes to identify the system parameters…

Systems and Control · Computer Science 2019-03-26 Yassir Jedra , Alexandre Proutiere