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We consider dynamical systems for which the spatial extension plays an important role. For these systems, the notions of attractor, epsilon-entropy and topological entropy per unit time and volume have been introduced previously. In this…

Dynamical Systems · Mathematics 2009-11-11 Claudio Bonanno , Pierre Collet

Software engineering and information systems practices seek ultimately to create the flawless product. One of the tools used to improve the quality of software development is the use of metrics. In this paper, metrics retrieved from open…

Software Engineering · Computer Science 2015-11-11 Mamdouh Alenezi , Ibrahim Abunadi

The current practices of software industry demands development of a software within time and budget which is highly productive. The traditional approach of developing a software from scratch requires considerable amount of effort. To…

Software Engineering · Computer Science 2015-03-13 N. Md. Jubair Basha , Salman Abdul Moiz

For a broad class of input-output maps, arguments based on the coding theorem from algorithmic information theory (AIT) predict that simple (low Kolmogorov complexity) outputs are exponentially more likely to occur upon uniform random…

Data Analysis, Statistics and Probability · Physics 2019-10-03 Kamaludin Dingle , Guillermo Valle Pérez , Ard A. Louis

In reinforcement learning, conducting task composition by forming cohesive, executable sequences from multiple tasks remains challenging. However, the ability to (de)compose tasks is a linchpin in developing robotic systems capable of…

Artificial Intelligence · Computer Science 2025-03-13 Georgios Bakirtzis , Michail Savvas , Ruihan Zhao , Sandeep Chinchali , Ufuk Topcu

Kolmogorov (1965) defined the complexity of a string $x$ as the minimal length of a program generating $x$. Obviously this definition depends on the choice of the programming language. Kolmogorov noted that there exist \emph{optimal}…

Information Theory · Computer Science 2025-06-23 Bruno Bauwens , Alexander Kozachinskiy , Alexander Shen

There is no single universally accepted definition of "Complexity". There are several perspectives on complexity and what constitutes complex behaviour or complex systems, as opposed to regular, predictable behaviour and simple systems. In…

Data Analysis, Statistics and Probability · Physics 2018-01-17 Nithin Nagaraj , Karthi Balasubramanian

Specifying a computational problem requires fixing encodings for input and output: encoding graphs as adjacency matrices, characters as integers, integers as bit strings, and vice versa. For such discrete data, the actual encoding is…

Logic · Mathematics 2021-08-25 Donghyun Lim , Martin Ziegler

Text compression schemes and compact data structures usually combine sophisticated probability models with basic coding methods whose average codeword length closely match the entropy of known distributions. In the frequent case where basic…

Information Theory · Computer Science 2019-10-02 N. Jesper Larsson

We consider the problem of developing suitable learning representations (embeddings) for library packages that capture semantic similarity among libraries. Such representations are known to improve the performance of downstream learning…

Software Engineering · Computer Science 2019-04-09 Bart Theeten , Frederik Vandeputte , Tom Van Cutsem

Software Engineering is a constantly evolving subject area that faces new challenges every day as it tries to automate newer business processes. One of the key challenges to the success of a software solution is attaining sustainability.…

Software Engineering · Computer Science 2019-10-15 Asif Imran , Tevfik Kosar

Dijkstra observed that verifying correctness of a program is difficult and conjectured that derivation of a program hand-in-hand with its proof of correctness was the answer. We illustrate this goal-oriented approach by applying it to the…

Mathematical Software · Computer Science 2017-10-13 Devangi N. Parikh , Maggie E. Myers , Robert A. van de Geijn

Obviously, the dynamism of software reliability research has speeded up significantly in the last period, and we can state the fact that its intensity is approaching, and in some cases is ahead of the information systems hardware…

Software Engineering · Computer Science 2020-03-06 Anton Petrov , Elena Popova , Alexander Petrov

This paper shows how maximum possible configuration efficiency of an indefinitely large software system is constrained by chosing a fixed upper limit to the number of program units per subsystem. It is then shown how the configuration…

Software Engineering · Computer Science 2008-11-18 Edmund Kirwan

In contrast to entropy, which increases monotonically, the "complexity" or "interestingness" of closed systems seems intuitively to increase at first and then decrease as equilibrium is approached. For example, our universe lacked complex…

Statistical Mechanics · Physics 2014-05-28 Scott Aaronson , Sean M. Carroll , Lauren Ouellette

Commutativity of program code (i.e. the equivalence of two code fragments composed in alternate orders) is of ongoing interest in many settings such as program verification, scalable concurrency, and security analysis. While some have…

Programming Languages · Computer Science 2024-11-27 Jared Pincus , Eric Koskinen

Building storage systems has remained the domain of systems experts for many years. They are complex and difficult to implement. Extreme care is needed to ensure necessary guarantees of performance and operational correctness. Furthermore,…

Software Engineering · Computer Science 2018-07-26 Daniel G. Waddington

Measuring the complexity of tree structures can be beneficial in areas that use tree data structures for storage, communication, and processing purposes. This complexity can then be used to compress tree data structures to their…

Information Theory · Computer Science 2023-09-19 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

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

The analysis of execution paths (also known as software traces) collected from a given software product can help in a number of areas including software testing, software maintenance and program comprehension. The lack of a scalable…

Software Engineering · Computer Science 2012-05-14 A. V. Miranskyy , M. Davison , M. Reesor , S. S. Murtaza
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