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We introduce a notion of compatibility between constraint encoding and compositional structure. Phrased in the language of category theory, it is given by a "composable constraint encoding". We show that every composable constraint encoding…

Category Theory · Mathematics 2021-12-14 Matt Wilson , Augustin Vanrietvelde

The Number Pieces are a corpus of works by composer John Cage, which rely on a particular time-structure used for determining the temporal location of sounds, named the "time-bracket". The time-bracket system is an inherently stochastic…

Physics and Society · Physics 2013-11-25 Alexandre Popoff

Musical chords, harmonies or melodies in Just Intonation have note frequencies which are described by a base frequency multiplied by rational numbers. For any local section, these notes can be converted to some base frequency multiplied by…

Sound · Computer Science 2017-01-25 David Ryan

The importance of repetitions in music is well-known. In this paper, we study music repetitions in the context of effective and efficient automatic genre classification in large-scale music-databases. We aim at enhancing the access and…

Information Retrieval · Computer Science 2019-10-22 Andres Ferraro , Kjell Lemström

Quantifying the resources available to a quantum computer appears to be necessary to separate quantum from classical computation. Among them, entanglement, nonstabilizerness and coherence are arguably of great significance. We introduce…

This comprehensive survey examines the field of alphabetic codes, tracing their development from the 1960s to the present day. We explore classical alphabetic codes and their variants, analyzing their properties and the underlying…

Information Theory · Computer Science 2025-04-09 Roberto Bruno , Roberto De Prisco , Ugo Vaccaro

The equable, Pythagorean and natural scales are built on the basis of a mathematical logic.

History and Overview · Mathematics 2018-02-19 Federico Talamucci

Melodic similarity measurement is of key importance in music information retrieval. In this paper, we use geometric matching techniques to measure the similarity between two melodies. We represent music as sets of points or sets of…

Many applications require the collection of data on different variables or measurements over many system performance metrics. We term those broadly as measures or variables. Often data collection along each measure incurs a cost, thus it is…

Methodology · Statistics 2021-11-30 Donghui Yan , Zhiwei Qin , Songxiang Gu , Haiping Xu , Ming Shao

Chains of resonators in the form of spring-mass systems have long been known to exhibiting interesting properties such as band gaps. Such features can be leveraged to manipulate the propagation of waves such as the filtering of specific…

Optimization and Control · Mathematics 2022-01-14 Seyed Saeed Ahmadisoleymani , Samy Missoum

In recent years, research on music transcription has focused mainly on architecture design and instrument-specific data acquisition. With the lack of availability of diverse datasets, progress is often limited to solo-instrument tasks such…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-25 Frank Cwitkowitz , Kin Wai Cheuk , Woosung Choi , Marco A. Martínez-Ramírez , Keisuke Toyama , Wei-Hsiang Liao , Yuki Mitsufuji

Recent advances in audio declipping have substantially improved the state of the art.% in certain saturation regimes. Yet, practitioners need guidelines to choose a method, and while existing benchmarks have been instrumental in advancing…

Sound · Computer Science 2020-12-01 Clément Gaultier , Srđan Kitić , Rémi Gribonval , Nancy Bertin

I present the generation and analysis of the largest known open-source corpus of playable piano chords (approximately 19.3 million entries). This dataset enumerates the two-handed search space subject to biomechanical constraints (two…

Sound · Computer Science 2026-04-01 Mahesh Ramani

The optimization of dynamic problems is both widespread and difficult. When conducting dynamic optimization, a balance between reinitialization and computational expense has to be found. There are multiple approaches to this. In parallel…

Neural and Evolutionary Computing · Computer Science 2014-01-21 Ronald Hochreiter , Christoph Waldhauser

In this paper, "chance optimization" problems are introduced, where one aims at maximizing the probability of a set defined by polynomial inequalities. These problems are, in general, nonconvex and computationally hard. With the objective…

Optimization and Control · Mathematics 2015-05-12 Ashkan Jasour , Necdet Serhat Aybat , Constantino Lagoa

Copatterns give functional programs a flexible mechanism for responding to their context, and composition can greatly enhance their expressiveness. However, that same expressive power makes it harder to precisely specify the behavior of…

Programming Languages · Computer Science 2025-08-19 Paul Downen

Statistical models and information theory have provided a useful set of tools for studying music from a quantitative perspective. These approaches have been employed to generate compositions, analyze structural patterns, and model cognitive…

Physics and Society · Physics 2025-09-30 Linus Chen-Plotkin , Suman S. Kulkarni , Dani S. Bassett

We present an algebraic construction of music notes and show how to associate them inseveral ways to construct music ranges. Then a family of ranges emerge with a fixed number of notes: two, three, five, seven, twelve, seventeen, etc. A…

History and Overview · Mathematics 2023-10-09 François Dubois

Estimating the performance difficulty of a musical score is crucial in music education for adequately designing the learning curriculum of the students. Although the Music Information Retrieval community has recently shown interest in this…

Sound · Computer Science 2023-09-29 Pedro Ramoneda , Jose J. Valero-Mas , Dasaem Jeong , Xavier Serra

In deep learning research, many melody extraction models rely on redesigning neural network architectures to improve performance. In this paper, we propose an input feature modification and a training objective modification based on two…

Sound · Computer Science 2023-08-08 Keren Shao , Ke Chen , Taylor Berg-Kirkpatrick , Shlomo Dubnov
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