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Computer musicians refer to mesostructures as the intermediate levels of articulation between the microstructure of waveshapes and the macrostructure of musical forms. Examples of mesostructures include melody, arpeggios, syncopation,…

Sound · Computer Science 2023-01-25 Cyrus Vahidi , Han Han , Changhong Wang , Mathieu Lagrange , György Fazekas , Vincent Lostanlen

Understanding the structural characteristics of harmony is essential for an effective use of music as a communication medium. Of the three expressive axes of music (melody, rhythm, harmony), harmony is the foundation on which the emotional…

Multimedia · Computer Science 2020-01-13 Maria Rojo González , Simone Santini

Substructural type systems, such as affine (and linear) type systems, are type systems which impose restrictions on copying (and discarding) of variables, and they have found many applications in computer science, including quantum…

Logic in Computer Science · Computer Science 2021-01-27 Vladimir Zamdzhiev

A common approach for studying a solid solution or disordered system within a periodic ab-initio framework is to create a supercell in which a certain amount of target elements is substituted with other ones. The key to generating…

Materials Science · Physics 2025-03-11 Genki I. Prayogo , Andrea Tirelli , Keishu Utimula , Kenta Hongo , Ryo Maezono , Kousuke Nakano

This paper approaches the problem of separating the notes from a quantized symbolic music piece (e.g., a MIDI file) into multiple voices and staves. This is a fundamental part of the larger task of music score engraving (or score…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-01 Francesco Foscarin , Emmanouil Karystinaios , Eita Nakamura , Gerhard Widmer

Algorithmic harmonization - the automated harmonization of a musical piece given its melodic line - is a challenging problem that has garnered much interest from both music theorists and computer scientists. One genre of particular interest…

Sound · Computer Science 2022-02-24 Yunyao Zhu , Stephen Hahn , Simon Mak , Yue Jiang , Cynthia Rudin

Most work on musical score models (a.k.a. musical language models) for music transcription has focused on describing the local sequential dependence of notes in musical scores and failed to capture their global repetitive structure, which…

Sound · Computer Science 2021-02-17 Eita Nakamura , Kazuyoshi Yoshii

We give a formal definition of the musical concept of voice leading in mathematical terms, based on the idea of partial permutations of certain ordered multisets. Then we associate a partial permutation matrix with a voice leading in a…

History and Overview · Mathematics 2015-08-25 Mattia G. Bergomi , Riccardo D. Jadanza , Alessandro Portaluri

Due to the increased complexity of software development projects more and more systems are described by models. The sheer size makes it impractical to describe these systems by a single model. Instead many models are developed that provide…

Software Engineering · Computer Science 2014-09-24 Christoph Herrmann , Holger Krahn , Bernhard Rumpe , Martin Schindler , Steven Völkel

Resonance, defined as the oscillation of a system when the temporal frequency of an external stimulus matches a natural frequency of the system, is important in both fundamental physics and applied disciplines. However, the spatial…

Mesoscale and Nanoscale Physics · Physics 2016-06-16 Zhenyu Wang , Mingzhe Li , Ruifang Wang

We are looking for a mathematical model of monophonic sounds with independent time and phase dimensions. With such a model we can resynthesise a sound with arbitrarily modulated frequency and progress of the timbre. We propose such a model…

Sound · Computer Science 2011-03-22 Henning Thielemann

Research on style transfer and domain translation has clearly demonstrated the ability of deep learning-based algorithms to manipulate images in terms of artistic style. More recently, several attempts have been made to extend such…

Sound · Computer Science 2021-06-11 Ondřej Cífka , Umut Şimşekli , Gaël Richard

Artistic style has been studied for centuries, and recent advances in machine learning create new possibilities for understanding it computationally. However, ensuring that machine-learning models produce insights aligned with the interests…

Sound · Computer Science 2025-05-15 Huw Cheston , Reuben Bance , Peter M. C. Harrison

This paper presents the Computoser hybrid probability/rule based algorithm for music composition (http://computoser.com) and provides a reference implementation. It addresses the issues of unpleasantness and lack of variation exhibited by…

Artificial Intelligence · Computer Science 2014-12-10 Bozhidar Bozhanov

Although a variety of transformers have been proposed for symbolic music generation in recent years, there is still little comprehensive study on how specific design choices affect the quality of the generated music. In this work, we…

In this paper, we study the possibility of designing non-trivial random CSP models by exploiting the intrinsic connection between structures and typical-case hardness. We show that constraint consistency, a notion that has been developed to…

Artificial Intelligence · Computer Science 2011-10-12 J. Culberson , Y. Gao

Program synthesis is a class of regression problems where one seeks a solution, in the form of a source-code program, mapping the inputs to their corresponding outputs exactly. Due to its precise and combinatorial nature, program synthesis…

Artificial Intelligence · Computer Science 2018-06-08 Yewen Pu , Zachery Miranda , Armando Solar-Lezama , Leslie Pack Kaelbling

We introduce the notion of multi-patterns, a combinatorial abstraction of polyphonic musical phrases. The interest of this approach in encoding musical phrases lies in the fact that it becomes possible to compose multi-patterns in order to…

Sound · Computer Science 2024-04-30 Samuele Giraudo

Sharpness is an almost generic assumption in continuous optimization that bounds the distance from minima by objective function suboptimality. It facilitates the acceleration of first-order methods through restarts. However, sharpness…

Optimization and Control · Mathematics 2024-07-24 Ben Adcock , Matthew J. Colbrook , Maksym Neyra-Nesterenko

In this paper we propose constellations with suitable structure which allow one to construct codes with excellent diversity using geometrical symmetry and numerical methods. We also demonstrate how these structured constellations…

Optimization and Control · Mathematics 2007-05-23 Guangyue Han , Joachim Rosenthal
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