Product modularity’ has recently experienced a significant increase in interest in the academic literature. While the concept of product modularity is used across a wide range of academic research areas, substantial variations exist in the ways in which the concept is described and interpreted. In this paper, I develop a framework to represent the similarities and differences that appear across...

In this work we present a critical assessment of some problems and open questions on the debated notion of modularity. Modularity is greatly in fashion nowadays, being often proposed as the new approach to complex artefact production that enables to combine fast innovation pace, enhanced product variety and reduced need for co-ordination. In line with recent critical assessments of the manageri...

Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for scientists. A common approach is to search for the network partition that maximizes a quality function. Here, we present a detailed analysis of a recently proposed function, namely modularity density. We show that it doe...

There exist many ideas and assumptions concerning the development and meaning of modularity in biological and technical neural systems. Nevertheless, this wide field is far from being understood; quantitative simulations and investigations are rare. In our contribution, we empirically study the development of connectionist models in the context of the evolution of artificial neural networks for...

In this paper we analyze the properties of functional modularity, a concept introduced in [14] for detecting and measuring modularity in problems of automatic program synthesis, in particular by means of genetic programming. The basic components of functional modularity approach are subgoals – entities that embody module’s semantic – and monotonicity, a measure for assessing subgoals’ potential...

One of the key results in the eld of modularity for Term Rewriting Systems is the modularity of completeness for left linear TRSs established by Toyama Klop and Barendregt in TKB The proof however is quite long and involved In this paper a new proof of this basic result is given which is both short and easy employing the powerful technique of pile and delete already used with success in proving...

In AI and Web communities, modularity-based graph clustering algorithms are being applied to various applications. However, existing algorithms are not applied to large graphs because they have to scan all vertices/edges iteratively. The goal of this paper is to efficiently compute clusters with high modularity from extremely large graphs with more than a few billion edges. The heart of our sol...

Modularity is a widely advocated strategy for handling complexity in conceptual models. Nevertheless, a systematic literature review revealed that it is not yet entirely clear under which circumstances modularity is most beneficial. Quite the contrary, empirical findings are contradictory, some authors even show that modularity can lead to decreased model understandability. In this work, we dra...

Department of Biostatistics, Johns Hopkins University, 615 N. Wolfe Street, Baltimore, MD 21205, USA School of Oper. Res. and Ind. Eng., Cornell University, Rhodes Hall, NY 14853, USA Institute of Statistics, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium Department of Statistics, School of Mathematics, University of New South Wales, Sydney 2052, Australia e-mail: ccrainic@j...

Michael T. Schaub, 2, 3, ∗ Jean-Charles Delvenne, 4 Martin Rosvall, † and Renaud Lambiotte ‡ Institute for Data, Systems, and Society, Massachusetts Institute of Technology, Cambridge, MA 02139, USA ICTEAM, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium naXys and Department of Mathematics, University of Namur, B-5000 Namur, Belgium CORE, Université catholique de Louvain, B-1...