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We briefly describe some well-known means and their properties, focusing on the relationship with integer sequences. In particular, the harmonic numbers, deriving from the harmonic mean, motivate the definition of a new kind of mean that we…

数论 · 数学 2016-01-14 Marco Abrate , Stefano Barbero , Umberto Cerruti , Nadir Murru

This paper presents a novel rule-based approach for generating music by varying existing tunes. We parse each tune to find the Pathway Assembly (PA) [ 1], that is a structure representing all repetitions in the tune. The Sequitur algorithm…

人工智能 · 计算机科学 2025-07-16 Maziar Kanani , Sean O Leary , James McDermott

A big challenge in algorithmic composition is to devise a model that is both easily trainable and able to reproduce the long-range temporal dependencies typical of music. Here we investigate how artificial neural networks can be trained on…

Harmonic numbers arise from the truncation of the harmonic series. The $n^\text{th}$ harmonic number is the sum of the reciprocals of each positive integer up to $n$. In addition to briefly introducing the properties of harmonic numbers, we…

历史与综述 · 数学 2021-12-02 N. Karjanto

Recent music generation methods based on transformers have a context window of up to a minute. The music generated by these methods is largely unstructured beyond the context window. With a longer context window, learning long-scale…

声音 · 计算机科学 2024-10-08 Lilac Atassi

Bisimulation metric is a robust behavioural semantics for probabilistic processes. Given any SOS specification of probabilistic processes, we provide a method to compute for each operator of the language its respective metric…

编程语言 · 计算机科学 2014-08-08 Daniel Gebler , Simone Tini

Multiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters. Several corollaries and examples are presented which are…

数论 · 数学 2024-06-12 Kunle Adegoke , Robert Frontczak

The development of models for learning music similarity and feature extraction from audio media files is an increasingly important task for the entertainment industry. This work proposes a novel music classification model based on metric…

声音 · 计算机科学 2019-09-19 Angelo C. Mendes da Silva , Mauricio A. Nunes , Raul Fonseca Neto

This work present a music dataset named MusicTM-Dataset, which is utilized in improving the representation learning ability of different types of cross-modal retrieval (CMR). Little large music dataset including three modalities is…

声音 · 计算机科学 2021-05-10 Donghuo Zeng , Yi Yu , Keizo Oyama

In this document, we introduce a new dataset designed for training machine learning models of symbolic music data. Five datasets are provided, one of which is from a newly collected corpus of 20K midi files. We describe our preprocessing…

声音 · 计算机科学 2016-06-09 Christian Walder

The concept of complexity as considered in terms of its algorithmic definition proposed by G.J. Chaitin and A.N. Kolmogorov is revisited for the dynamical complexity of music. When music pieces are cast in the form of time series of pitch…

物理与社会 · 物理学 2009-03-23 Jean Pierre Boon

To achieve a flexible recommendation and retrieval system, it is desirable to calculate music similarity by focusing on multiple partial elements of musical pieces and allowing the users to select the element they want to focus on. A…

声音 · 计算机科学 2024-04-11 Yuka Hashizume , Li Li , Atsushi Miyashita , Tomoki Toda

Generating a complex work of art such as a musical composition requires exhibiting true creativity that depends on a variety of factors that are related to the hierarchy of musical language. Music generation have been faced with Algorithmic…

声音 · 计算机科学 2021-09-08 Carlos Hernandez-Olivan , Jose R. Beltran

In this study, the notion of perceptual features is introduced for describing general music properties based on human perception. This is an attempt at rethinking the concept of features, in order to understand the underlying human…

信息检索 · 计算机科学 2014-04-01 Anders Friberg , Erwin Schoonderwaldt , Anton Hedblad , Marco Fabiani , Anders Elowsson

We introduce MusicLM, a model generating high-fidelity music from text descriptions such as "a calming violin melody backed by a distorted guitar riff". MusicLM casts the process of conditional music generation as a hierarchical…

Musical features and descriptors could be coarsely divided into three levels of complexity. The bottom level contains the basic building blocks of music, e.g., chords, beats and timbre. The middle level contains concepts that emerge from…

声音 · 计算机科学 2018-06-14 Anna Aljanaki , Mohammad Soleymani

The mood of a song is a highly relevant feature for exploration and recommendation in large collections of music. These collections tend to require automatic methods for predicting such moods. In this work, we show that listening-based…

声音 · 计算机科学 2020-10-24 Filip Korzeniowski , Oriol Nieto , Matthew McCallum , Minz Won , Sergio Oramas , Erik Schmidt

The dichotic method of hearing sound adapts in the region of musical harmony. The algorithm of the separation of the being dissonant voices into several separate groups is proposed. For an increase in the pleasantness of chords the…

声音 · 计算机科学 2024-05-09 Vadim R. Madgazin

Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent geometric model for music perception in order to rationalize, explain and predict psycho-acoustic phenomena. The space of…

微分几何 · 数学 2022-12-07 Benjamin Himpel

Music classification is a task to classify a music piece into labels such as genres or composers. We propose large-scale MIDI based composer classification systems using GiantMIDI-Piano, a transcription-based dataset. We propose to use…

声音 · 计算机科学 2020-10-29 Qiuqiang Kong , Keunwoo Choi , Yuxuan Wang