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Despite ample evidence that our concepts, our cognitive architecture, and mathematics itself are all deeply compositional, few models take advantage of this structure. We therefore propose a radically compositional approach to computational…

Neurons and Cognition · Quantitative Biology 2019-11-18 Toby B. St Clere Smithe

This dissertation builds a compositional cyber-physical systems theory to develop concrete semantics relating the above diverse views necessary for safety and security assurance. In this sense, composition can take two forms. The first is…

Logic in Computer Science · Computer Science 2021-09-13 Georgios Bakirtzis

Advancements in the digital technologies have enabled researchers to develop a variety of Computational Music applications. Such applications are required to capture, process, and generate data related to music. Therefore, it is important…

Sound · Computer Science 2021-04-27 SeyyedPooya HekmatiAthar , Mohd Anwar

Creativity, or the ability to produce new useful ideas, is commonly associated to the human being; but there are many other examples in nature where this phenomenon can be observed. Inspired by this fact, in engineering and particularly in…

Sound · Computer Science 2022-01-26 David Daniel Albarracín Molina

Flamenco is a rich performance-oriented art music genre from Southern Spain which attracts a growing community of aficionados around the globe. Due to its improvisational and expressive nature, its unique musical characteristics, and the…

Sound · Computer Science 2022-09-23 José-Miguel Díaz-Báñez , Nadine Kroher

Mathematics is a far reaching discipline and its tools appear in many applications. In this paper we discuss its role in music and signal processing by revisiting the use of mathematics in algorithms that can extract chord information from…

History and Overview · Mathematics 2013-06-13 Nathan Lenssen , Deanna Needell

At the intersection of what I call uncomputable art and computational epistemology, a form of experimental philosophy, we find an exciting and promising area of science related to causation with an alternative, possibly best possible,…

Other Computer Science · Computer Science 2021-09-20 Hector Zenil

Mechanical metamaterials are increasingly attracting interest in engineering applications due to their unique mechanical properties and lightweight nature. This study develops a novel sound-based representation to characterize the…

Optics · Physics 2025-09-12 Sofia Cassara , Buminhan Sansa , Saltuk Yildiz , Waris Khan , Pinar Acar

A modified form of Euclid's algorithm has gained popularity among musical composers following Toussaint's 2005 survey of so-called Euclidean rhythms in world music. We offer a method to easily calculate Euclid's algorithm by hand as a…

History and Overview · Mathematics 2022-06-28 Thomas Morrill

Most musical programming languages are developed purely for coding virtual instruments or algorithmic compositions. Although there has been some work in the domain of musical query languages for music information retrieval, there has been…

Sound · Computer Science 2017-09-08 Donya Quick , Clayton T. Morrison

One of the most challenging goals in designing intelligent systems is empowering them with the ability to synthesize programs from data. Namely, given specific requirements in the form of input/output pairs, the goal is to train a machine…

Programming Languages · Computer Science 2021-10-18 Giovanni De Toni , Luca Erculiani , Andrea Passerini

With the recent developments in machine intelligence and web technologies, new generative music systems are being explored for assisted composition using machine learning techniques on the web. Such systems are built for various tasks such…

Human-Computer Interaction · Computer Science 2025-04-22 Renaud Bougueng Tchemeube , Jeff Ens , Philippe Pasquier

Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an more important work for mathematician is to apply combinatorics to other mathematics and other sciences not merely to…

General Mathematics · Mathematics 2009-09-29 Linfan Mao

Structural segmentation of music refers to the task of finding a symbolic representation of the organisation of a song, reducing the musical flow to a partition of non-overlapping segments. Under this definition, the musical structure may…

Sound · Computer Science 2022-12-23 Axel Marmoret , Jérémy E. Cohen , Frédéric Bimbot

The approach to analysing compositional data has been dominated by the use of logratio transformations, to ensure exact subcompositional coherence and, in some situations, exact isometry as well. A problem with this approach is that data…

Methodology · Statistics 2024-02-29 Michael Greenacre

There are many applications that aim to create a complete model for an autonomously generated composition; systems are able to generate muzak songs, assist singers in transcribing songs or can imitate long-dead authors. Subjective…

Sound · Computer Science 2022-04-12 Daniel Kvak

Mathematics, and more generally computational sciences, intervene in several aspects of music. Mathematics describes the acoustics of the sounds giving formal tools to physics, and the matter of music itself in terms of compositional…

History and Overview · Mathematics 2019-04-24 Maria Mannone

This paper shows how the study of colored compositions of integers reveals some unexpected and original connection with the Invert operator. The Invert operator becomes an important tool to solve the problem of directly counting the number…

Number Theory · Mathematics 2014-09-24 Marco Abrate , Stefano Barbero , Umberto Cerruti , Nadir Murru

Algorithmic music composition is a way of composing musical pieces with minimal to no human intervention. While recurrent neural networks are traditionally applied to many sequence-to-sequence prediction tasks, including successful…

Machine Learning · Computer Science 2022-11-03 Moseli Mots'oehli , Anna Sergeevna Bosman , Johan Pieter De Villiers

Reversibility is a key issue in the interface between computation and physics, and of growing importance as miniaturization progresses towards its physical limits. Most foundational work on reversible computing to date has focussed on…

Logic in Computer Science · Computer Science 2011-12-01 Samson Abramsky