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In this article, a framework for defining and analysing a family of graphs or networks from symbolic music information is discussed. Such graphs concern different types of elements, such as pitches, chords and rhythms, and the relations…

Social and Information Networks · Computer Science 2024-04-24 Alberto Alcalá-Alvarez , Pablo Padilla-Longoria

The musical realm is a promising area in which to expect to find nontrivial topological structures. This paper describes several kinds of metrics on musical data, and explores the implications of these metrics in two ways: via techniques of…

Algebraic Topology · Mathematics 2014-03-20 Ryan Budney , William Sethares

This paper describes a data-driven framework to parse musical sequences into dependency trees, which are hierarchical structures used in music cognition research and music analysis. The parsing involves two steps. First, the input sequence…

Sound · Computer Science 2023-06-30 Francesco Foscarin , Daniel Harasim , Gerhard Widmer

We quantify the amount of information filtered by different hierarchical clustering methods on correlations between stock returns comparing it with the underlying industrial activity structure. Specifically, we apply, for the first time to…

Statistical Finance · Quantitative Finance 2023-07-19 Nicolo Musmeci , Tomaso Aste , Tiziana Di Matteo

Manipulating the dispersive characteristics of vibrational waves is beneficial for many applications, e.g., high-precision instruments. architected hierarchical phononic materials have sparked promise tunability of elastodynamic waves and…

We propose that a tree-like hierarchical structure represents a simple and effective way to model the emergent behaviour of financial markets, especially markets where there exists a pronounced intersection between social media influences…

Multiagent Systems · Computer Science 2024-10-02 Gonzalo Bohorquez , John Cartlidge

We study an index to measure the popularity of artists in music streaming platforms. This index, which can be used to allocate the amount raised via paid subscriptions among participating artists, is based on the Shapley value, a…

Theoretical Economics · Economics 2025-10-30 Gustavo Bergantiños , Juan D. Moreno-Ternero

The minimum spanning tree is used to study the process of market integration for a large group of national stock market indices. We show how the asset tree evolves over time and describe the dynamics of its normalized length, mean…

Physics and Society · Physics 2008-02-23 Ricardo Coelho , Claire G. Gilmore , Brian Lucey , Peter Richmond , Stefan Hutzler

A simple and elegant arrangement of stock components of a portfolio (market index-DJIA) in a recent paper [1], has led to the construction of crossing of stocks diagram. The crossing stocks method revealed hidden remarkable algebraic and…

Statistical Finance · Quantitative Finance 2014-06-12 Ovidiu Racorean

We study the topology of several music recommendation networks, which rise from relationships between artist, co-occurrence of songs in playlists or experts' recommendation. The analysis uncovers the emergence of complex network phenomena…

Physics and Society · Physics 2012-05-14 Pedro Cano , Oscar Celma , Markus Koppenberger , Javier M. Buldú

Previous attempts at music artist classification use frame level audio features which summarize frequency content within short intervals of time. Comparatively, more recent music information retrieval tasks take advantage of temporal…

Sound · Computer Science 2019-03-18 Zain Nasrullah , Yue Zhao

We introduce a technique that is capable to filter out information from complex systems, by mapping them to networks, and extracting a subgraph with the strongest links. This idea is based on the Minimum Spanning Tree, and it can be applied…

Physics and Society · Physics 2009-05-17 Antonios Garas , Panos Argyrakis

We construct a correlation matrix based financial network for a set of New York Stock Exchange (NYSE) traded stocks with stocks corresponding to nodes and the links between them added one after the other, according to the strength of the…

Physics and Society · Physics 2007-05-23 G. Tibely , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

We investigate sets of financial non-redundant and nonsynchronously recorded time series. The sets are composed by a number of stock market indices located all over the world in five continents. By properly selecting the time horizon of…

Statistical Mechanics · Physics 2009-10-31 Giovanni Bonanno , Nicolas Vandewalle , Rosario N. Mantegna

In addressing the challenge of interpretability and generalizability of artificial music intelligence, this paper introduces a novel symbolic representation that amalgamates both explicit and implicit musical information across diverse…

Sound · Computer Science 2024-01-08 Yikai Qian , Tianle Wang , Xinyi Tong , Xin Jin , Duo Xu , Bo Zheng , Tiezheng Ge , Feng Yu , Song-Chun Zhu

In this work, we propose a symbolic music generation model with the song structure graph analysis network. We construct a graph that uses information such as note sequence and instrument as node features, while the correlation between note…

Sound · Computer Science 2023-12-27 Seonghyeon Go , Kyogu Lee

In the streaming era, music revenues distributed to rights holders have become more transparent. However, it is not yet clear how to quantify the risk and return characteristics of music royalty assets, as is done with equities. In this…

Pricing of Securities · Quantitative Finance 2026-02-06 Sasha Stoikov , Aadityaa Singla , Umu Cetin , Luis Alonso Cendra Villalobos

We investigated the topological properties of stock networks through a comparison of the original stock network with the estimated stock network from the correlation matrix created by the random matrix theory (RMT). We used individual…

Statistical Finance · Quantitative Finance 2008-12-02 Cheoljun Eom , Gapjin Oh , Hawoong Jeong , Seunghwan Kim

Many musicians, from up-and-comers to established artists, rely heavily on performing live to promote and disseminate their music. To advertise live shows, artists often use concert discovery platforms that make it easier for their fans to…

Social and Information Networks · Computer Science 2018-05-10 Shushan Arakelyan , Fred Morstatter , Margaret Martin , Emilio Ferrara , Aram Galstyan

Western music is an innately hierarchical system of interacting levels of structure, from fine-grained melody to high-level form. In order to analyze music compositions holistically and at multiple granularities, we propose a unified,…

Artificial Intelligence · Computer Science 2025-06-23 Ilana Shapiro , Ruanqianqian Huang , Zachary Novack , Cheng-i Wang , Hao-Wen Dong , Taylor Berg-Kirkpatrick , Shlomo Dubnov , Sorin Lerner