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As scientific applications extend to the simulation of more and more complex systems, they involve an increasing number of abstraction levels, at each of which errors can emerge and across which they can propagate; tools for correctness…

Software Engineering · Computer Science 2011-01-18 Eloisa Bentivegna , Gabrielle Allen , Oleg Korobkin , Erik Schnetter

Software product quality can be defined as the features and characteristics of the product that meet the user needs. The quality of any software can be achieved by following a well defined software process. These software process results…

Software Engineering · Computer Science 2018-02-19 Karuna Prasad , MG Divya , N Mangala

In this chapter, a statistical measure of complexity is introduced and some of its properties are discussed. Also, some straightforward applications are shown.

Adaptation and Self-Organizing Systems · Physics 2010-09-09 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

For large software systems, refactoring activities can be a challenging task, since for keeping component complexity under control the overall architecture as well as many details of each component have to be considered. Product metrics are…

Software Engineering · Computer Science 2013-08-20 Christian Napoli , Giuseppe Pappalardo , Emiliano Tramontana

Software quality is considered as one of the most important challenges in software engineering. It has many dimensions which differ from users' point of view that depend on their requirements. Therefore, those dimensions lead to difficulty…

Software Engineering · Computer Science 2019-06-21 Anas Shatnawi

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 2012-01-23 Russell K. Standish

Objective: To present an overview on the current state of the art concerning metrics-based quality evaluation of software components and component assemblies. Method: Comparison of several approaches available in the literature, using a…

Software Engineering · Computer Science 2011-10-03 Miguel Goulão , Fernando Brito e Abreu

How can the complexity of ML-enabled systems be managed effectively? The goal of this research is to investigate how complexity affects ML-Enabled Systems (MLES). To address this question, this research aims to introduce a metrics-based…

Software Engineering · Computer Science 2025-08-13 Renato Cordeiro Ferreira

An accurate assessment of a model's complexity is crucial for topics such as interpretation, generalization, and model selection. However, most existing complexity measures either rely on heuristic assumptions or are computationally…

Machine Learning · Statistics 2026-05-21 Oskar Allerbo , Thomas B. Schön

Complexity is a multi-faceted phenomenon, involving a variety of features including disorder, nonlinearity, and self-organisation. We use a recently developed rigorous framework for complexity to understand measures of complexity. We…

Adaptation and Self-Organizing Systems · Physics 2020-09-22 Karoline Wiesner , James Ladyman

Measuring a document's complexity level is an open challenge, particularly when one is working on a diverse corpus of documents rather than comparing several documents on a similar topic or working on a language other than English. In this…

Computation and Language · Computer Science 2022-09-01 Vincent Primpied , David Beauchemin , Richard Khoury

This paper presents an automated method for classifying source code changes during the software development process based on clustering of change metrics. The method consists of two steps: clustering of metric vectors computed for each code…

Software Engineering · Computer Science 2026-02-17 Evgenii Kniazev

Subramanian defined the complexity class CC as the set of problems log-space reducible to the comparator circuit value problem. He proved that several other problems are complete for CC, including the stable marriage problem, and finding…

Computational Complexity · Computer Science 2011-10-06 Stephen A. Cook , Dai Tri Man Le , Yuli Ye

The problem of finding code distance has been long studied for the generic ensembles of linear codes and led to several algorithms that substantially reduce exponential complexity of this task. However, no asymptotic complexity bounds are…

Information Theory · Computer Science 2016-11-17 Ilya Dumer , Alexey A. Kovalev , Leonid P. Pryadko

A measure of complexity based on a probabilistic description of physical systems is proposed. This measure incorporates the main features of the intuitive notion of such a magnitude. It can be applied to many physical situations and to…

Chaotic Dynamics · Physics 2009-11-07 Ricardo Lopez-Ruiz , Hector Mancini , Xavier Calbet

In this chapter, I review the main methods and techniques of complex systems science. As a first step, I distinguish among the broad patterns which recur across complex systems, the topics complex systems science commonly studies, the tools…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi

Transductive learning considers situations when a learner observes $m$ labelled training points and $u$ unlabelled test points with the final goal of giving correct answers for the test points. This paper introduces a new complexity measure…

Machine Learning · Statistics 2016-02-24 Ilya Tolstikhin , Nikita Zhivotovskiy , Gilles Blanchard

There are many dimensions of software complexity. In this article, we explore how structural complexity is measured and used to study and control evolving software systems. We also present the current research challenges and emerging trends…

Software Engineering · Computer Science 2016-08-05 Tom Mens

The definition of complexity through Statistical Complexity Measures (SCM) has recently seen major improvements. Mostly, effort is concentrated in measures on time series. We propose a SCM definition for spatial dynamical systems. Our…

Statistical Mechanics · Physics 2015-06-17 A. Arbona , C. Bona , B. Miñano , A. Plastino

In recent years, the role and the importance of software in the automotive domain have changed dramatically. Being able to systematically evaluate and manage software quality is becoming even more crucial. In practice, however, we still…