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Related papers: Harmonic structures of Beethoven quartets: a compl…

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This chapter considers how string-based methods might be adapted to address music-analytic questions related to the discovery of musical organization, with particular attention devoted to the analysis of tonal harmony. I begin by applying…

Computation and Language · Computer Science 2020-06-30 David R. W. Sears

Web services growth makes the composition process a hard task to solve. This numerous interacting elements can be adequately represented by a network. Discovery and composition can benefit from the knowledge of the network structure. In…

Software Engineering · Computer Science 2013-05-02 Chantal Cherifi , Jean-Francois Santucci

Many complex networks, ranging from social to biological systems, exhibit structural patterns consistent with an underlying hyperbolic geometry. Revealing the dimensionality of this latent space can disentangle the structural complexity of…

A determinant property of the structure of a biological network is the distribution of local connectivity patterns, i.e., network motifs. In this work, a method for creating directed, unweighted networks while promoting a certain…

Social and Information Networks · Computer Science 2016-07-29 Tuomo Mäki-Marttunen

As complex networks find applications in a growing range of disciplines, the diversity of naturally occurring and model networks being studied is exploding. The adoption of a well-developed collection of network taxonomies is a natural…

Combinatorics · Mathematics 2016-01-25 Ann Sizemore , Chad Giusti , Danielle Bassett

Music has always been central to human culture, reflecting and shaping traditions, emotions, and societal changes. Technological advancements have transformed how music is created and consumed, influencing tastes and the music itself. In…

In order to deal efficiently with the exponential growth of the Web services landscape in composition life cycle activities, it is necessary to have a clear view of its main features. As for many situations where there is a lot of…

Software Engineering · Computer Science 2013-05-03 Chantal Cherifi , Jean-François Santucci

Complex networks in natural, social, and technological systems generically exhibit an abundance of rich information. Extracting meaningful structural features from data is one of the most challenging tasks in network theory. Many methods…

Physics and Society · Physics 2012-06-04 Daniel Grady , Christian Thiemann , Dirk Brockmann

While natural languages are compositional, how state-of-the-art neural models achieve compositionality is still unclear. We propose a deep network, which not only achieves competitive accuracy for text classification, but also exhibits…

Computation and Language · Computer Science 2017-07-07 Hongyu Guo

In the present article we describe and discuss a framework for applying different topological data analysis (TDA) techniques to a music fragment given as a score in traditional Western notation. We first consider different sets of points in…

Algebraic Topology · Mathematics 2022-12-13 Alberto Alcalá-Alvarez , Pablo Padilla-Longoria

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

After our book---Mathematics and Music: Composition, Perception, and Performance, 2nd edition, CRC Press, 2020---was published, we found a striking example of the importance of the Tonnetz for analyzing the harmonic structure of The…

History and Overview · Mathematics 2020-08-28 James S. Walker , Gary W. Don

A big challenge in algorithmic composition is to devise a model that is both easily trainable and able to reproduce the long-range temporal dependencies typical of music. Here we investigate how artificial neural networks can be trained on…

Machine Learning · Statistics 2016-06-24 Florian Colombo , Samuel P. Muscinelli , Alexander Seeholzer , Johanni Brea , Wulfram Gerstner

Repetition is a basic indicator of musical structure. This study introduces new algorithms for identifying musical phrases based on repetition. Phrases combine to form sections yielding a two-level hierarchical structure. Automatically…

Sound · Computer Science 2020-10-16 Shuqi Dai , Huan Zhang , Roger B. Dannenberg

Is the specific structure of Western tonal harmony a physical inevitability derived from acoustics, or is it merely one solution among many in a purely algebraic landscape? In this paper, we strip away the physics of vibrating strings and…

Combinatorics · Mathematics 2026-02-24 Pawel Nurowski

Understanding how cognitive and social mechanisms shape the evolution of complex artifacts such as songs is central to cultural evolution research. Social network topology (what artifacts are available?), selection (which are chosen?), and…

Social and Information Networks · Computer Science 2025-02-19 Raja Marjieh , Manuel Anglada-Tort , Thomas L. Griffiths , Nori Jacoby

A simple but efficient spectral approach for analyzing the community structure of complex networks is introduced. It works the same way for all types of networks, by spectrally splitting the adjacency matrix into a "unipartite" and a…

Physics and Society · Physics 2016-02-05 Bogdan Danila

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

Social and Information Networks · Computer Science 2013-05-03 Chantal Cherifi , Jean-François Santucci

Using a database of jazz recordings we study the collaboration network of jazz musicians. We define the network at two different levels. First we study the collaboration network between individuals, where two musicians are connected if they…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pablo Gleiser , Leon Danon

Propelled by the increasing availability of large-scale high-quality data, advanced data modeling and analysis techniques are enabling many novel and significant scientific understanding of a wide range of complex social, natural, and…

Physics and Society · Physics 2016-04-12 Arram Bae , Doheum Park , Yong-Yeol Ahn , Juyong Park