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Compositionality is a key property for dealing with complexity, which has been studied from many points of view in diverse fields. Particularly, the composition of individual computations (or programs) has been widely studied almost since…

Logic in Computer Science · Computer Science 2022-06-06 Damian Arellanes

We describe ongoing work on a framework for automatic composition synthesis from a repository of software components. This work is based on combinatory logic with intersection types. The idea is that components are modeled as typed…

Software Engineering · Computer Science 2013-08-01 Boris Düdder , Oliver Garbe , Moritz Martens , Jakob Rehof , Paweł Urzyczyn

In this paper we present Bardo Composer, a system to generate background music for tabletop role-playing games. Bardo Composer uses a speech recognition system to translate player speech into text, which is classified according to a model…

Sound · Computer Science 2020-08-18 Lucas N. Ferreira , Levi H. S. Lelis , Jim Whitehead

While recent generative models can produce engaging music, their utility is limited. The variation in the music is often left to chance, resulting in compositions that lack structure. Pieces extending beyond a minute can become incoherent…

Sound · Computer Science 2023-11-01 Lilac Atassi

The development of artificial intelligent composition has resulted in the increasing popularity of machine-generated pieces, with frequent copyright disputes consequently emerging. There is an insufficient amount of research on the…

Artificial Intelligence · Computer Science 2020-10-16 Yang Deng , Ziyao Xu , Li Zhou , Huanping Liu , Anqi Huang

The common approach to compositional data analysis is to transform the data by means of logratios. Logratios between pairs of compositional parts (pairwise logratios) are the easiest to interpret in many research problems. When the number…

Machine Learning · Statistics 2026-02-02 Germa Coenders , Michael Greenacre

We present a general computational approach that enables a machine to generate a dance for any input music. We encode intuitive, flexible heuristics for what a 'good' dance is: the structure of the dance should align with the structure of…

Artificial Intelligence · Computer Science 2020-06-25 Purva Tendulkar , Abhishek Das , Aniruddha Kembhavi , Devi Parikh

This manuscript presents a novel and reliable third-order iterative procedure for computing the zeros of solutions to second-order ordinary differential equations. By approximating the solution of the related Riccati differential equation…

Numerical Analysis · Mathematics 2026-01-08 Dhivya Prabhu K , Sanjeev Singh , Antony Vijesh

Ultrafilters are useful mathematical objects having applications in nonstandard analysis, Ramsey theory, Boolean algebra, topology, and other areas of mathematics. In this note, we provide a categorical construction of ultrafilters in terms…

Category Theory · Mathematics 2009-05-13 Daniel Litt , Zachary Abel , Scott D. Kominers

With the emergence of quantum computers, a new field of algorithmic music composition has been initiated. The vast majority of previous work focuses on music generation using gate-based quantum computers. An alternative model of computation…

Quantum Physics · Physics 2022-01-27 Ashish Arya , Ludmila Botelho , Fabiola Cañete , Dhruvi Kapadia , Özlem Salehi

Using the definition of quasiperiodic function as a motivation, we introduce the idea of quasiperiodic music and detail the composition process of a quasiperiodic music piece, Raindrops in A minor. We also discuss connections between…

History and Overview · Mathematics 2020-09-11 Darren C. Ong

Various concepts of grammatical compositionality arise in many theories of both natural and artificial languages, and often play a key role in accounts of the syntax-semantics interface. We propose that many instances of compositionality…

Computation and Language · Computer Science 2022-01-17 Norman E. Trushaev

This paper provides an overview of selected results and open problems in the theory of hyperplane arrangements, with an emphasis on computations and examples. We give an introduction to many of the essential tools used in the area, such as…

Combinatorics · Mathematics 2014-07-14 Hal Schenck

Since its conception, the computer has found applications to accompany human creativity. Today, the debate about computers and creativity involves several challenges, such as understanding human creativity, modeling the creative process,…

Multimedia · Computer Science 2023-02-21 Felipe Ariani , Marcelo Caetano , Javier Elipe Gimeno , Ivan Magrin-Chagnolleau

In this paper, we propose a new general and stable fixed-point approach to compute the resolvents of the composition of a set-valued maximal monotone operator with a linear bounded mapping. Weak, strong and linear convergence of the…

Optimization and Control · Mathematics 2025-02-05 Samir Adly , Ba Khiet Le

We argue that the electroproduction of exotic particles is a useful tool for study of their partonic structure. In the case of hybrid mesons, the magnitude of their cross sections shows that they are accessible for measurements in existing…

High Energy Physics - Phenomenology · Physics 2016-09-06 I. V. Anikin , B. Pire , L. Szymanowski , O. V. Teryaev , S. Wallon

We introduce the notion of multi-pattern, a combinatorial abstraction of polyphonic musical phrases. The interest of this approach lies in the fact that this offers a way to compose two multi-patterns in order to produce a longer one. This…

Sound · Computer Science 2021-04-27 Samuele Giraudo

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

We are entering a new era in which software systems are becoming more and more complex and larger. So, the composition of such systems is becoming infeasible by manual means. To address this challenge, self-organising software models…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Damian Arellanes

Two damped coupled oscillators have been used to demonstrate the occurrence of exceptional points in a purely classical system. The implementation was achieved with electronic circuits in the kHz-range. The experimental results perfectly…

Quantum Physics · Physics 2009-11-10 T. Stehmann , W. D. Heiss , F. G. Scholtz
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