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This paper presents a series of general properties of the r-Complexity calculus, a complexity measurement for assessing the performance and asymptotic behaviour of real-world algorithms. This research describes characteristics such as…

Computational Complexity · Computer Science 2026-01-27 Rares Folea , Emil Slusanschi

Data Science and Machine Learning have become fundamental assets for companies and research institutions alike. As one of its fields, supervised classification allows for class prediction of new samples, learning from given training data.…

Complex networks are ubiquitous to several Computer Science domains. Centrality measures are an important analysis mechanism to uncover vital elements of complex networks. However, these metrics have high computational costs and…

Machine Learning · Computer Science 2018-10-30 Felipe Grando , Lisando Z. Granville , Luis C. Lamb

A good deal of current research in complex networks involves the characterization and/or classification of the topological properties of given structures, which has motivated several respective measurements. This letter proposes a framework…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , Filipi N. Silva , Luciano da F. Costa

Within process mining, a relevant activity is conformance checking. Such activity consists of establishing the extent to which actual executions of a process conform the expected behavior of a reference model. Current techniques focus on…

Artificial Intelligence · Computer Science 2022-01-25 Andrea Burattin

Model complexity is a fundamental problem in deep learning. In this paper we conduct a systematic overview of the latest studies on model complexity in deep learning. Model complexity of deep learning can be categorized into expressive…

Machine Learning · Computer Science 2021-08-04 Xia Hu , Lingyang Chu , Jian Pei , Weiqing Liu , Jiang Bian

On account of a greater need for understanding the complexity of time series like physiological time series, financial time series, and many more that enter into picture for their inculpation with real-world problems, several complexity…

Chaotic Dynamics · Physics 2025-02-26 Ritik Roshan Giri , Suchandan Kayal

Specifying a Bayesian prior is notoriously difficult for complex models such as neural networks. Reasoning about parameters is made challenging by the high-dimensionality and over-parameterization of the space. Priors that seem benign and…

Machine Learning · Statistics 2020-10-22 Eric Nalisnick , Jonathan Gordon , José Miguel Hernández-Lobato

A complex business process demands adaptability as it has been highly influenced by the contextual information. The contextual information declares the underlying semantics on which the process logic depends. Thus one of the challenges of a…

Software Engineering · Computer Science 2018-06-06 Debarpita Santra , Sankhayan Choudhury

Software code complexity is a well-studied property to determine software component health. However, the existing code complexity metrics do not directly take into account the fault-proneness aspect of the code. We propose a metric called…

Software Engineering · Computer Science 2021-04-27 Ali Parsai , Serge Demeyer

Interpretation methods to reveal the internal reasoning processes behind machine learning models have attracted increasing attention in recent years. To quantify the extent to which the identified interpretations truly reflect the intrinsic…

Computation and Language · Computer Science 2022-04-13 Chun Sik Chan , Huanqi Kong , Guanqing Liang

This chapter serves as an introduction to systems engineering focused on the broad issues surrounding realizing complex integrated systems. What is a system? We pose a number of possible definitions and perspectives, but leave open the…

Systems and Control · Electrical Eng. & Systems 2025-08-18 John W. Sheppard

In Monoidal Computer I, we introduced a categorical model of computation where the formal reasoning about computability was supported by the simple and popular diagrammatic language of string diagrams. In the present paper, we refine and…

Logic in Computer Science · Computer Science 2014-02-25 Dusko Pavlovic

In process mining, precision measures are used to quantify how much a process model overapproximates the behavior seen in an event log. Although several measures have been proposed throughout the years, no research has been done to validate…

Databases · Computer Science 2018-05-07 Niek Tax , Xixi Lu , Natalia Sidorova , Dirk Fahland , Wil M. P. van der Aalst

Component-based design paradigm is of paramount importance due to prolific growth in the complexity of modern-day systems. Since the components are developed primarily by multi-party vendors and often assembled to realize the overall…

Software Engineering · Computer Science 2022-05-31 Aritra Hazra

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

Code complexity metrics such as cyclomatic complexity have long been used to assess software quality and maintainability. With the rapid advancement of large language models (LLMs) on coding tasks, an important yet underexplored question…

Software Engineering · Computer Science 2026-05-28 Chen Xie , Xiaodong Gu , Yuling Shi , Beijun Shen

The question What is Complexity? has occupied a great deal of time and paper over the last 20 or so years. There are a myriad different perspectives and definitions but still no consensus. In this paper I take a phenomenological approach,…

Adaptation and Self-Organizing Systems · Physics 2015-02-12 Christopher R. Stephens

Process mining offers techniques to exploit event data by providing insights and recommendations to improve business processes. The growing amount of algorithms for process discovery has raised the question of which algorithms perform best…

Software Engineering · Computer Science 2018-06-20 Toon Jouck , Alfredo Bolt , Benoît Depaire , Massimiliano de Leoni , Wil M. P. van der Aalst

Process mining sheds new light on the relationship between process models and real-life processes. Process discovery can be used to learn process models from event logs. Conformance checking is concerned with quantifying the quality of a…

Artificial Intelligence · Computer Science 2019-09-06 Anja F. Syring , Niek Tax , Wil M. P. van der Aalst