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The Hilbert transform is a multiplier operator and is widely used in the theory of Fourier transforms. The Hilbert transform was the motivation for the development of modern harmonic analysis. Its discrete version is also widely used in…

Functional Analysis · Mathematics 2026-01-12 Rashid Aliev , Amil Jabiyev

We propose the application of graphical convolution to the analysis of the resonance phenomenon. This time-domain approach encompasses both the finally attained periodic oscillations and the initial transient period. It also provides…

Mathematical Physics · Physics 2010-03-31 Emanuel Gluskin , Doron Shmilovitz , Yoash Levron

Automatic text analysis methods, such as Topic Modelling, are gaining much attention in Humanities. However, scholars need to have extensive coding skills to use such methods appropriately. The need of having this technical expertise…

Digital Libraries · Computer Science 2020-11-30 Ivan Heibi , Silvio Peroni , Luca Pareschi , Paolo Ferri

Deep learning researches on the transformation problems for image and text have raised great attention. However, present methods for music feature transfer using neural networks are far from practical application. In this paper, we initiate…

Sound · Computer Science 2021-08-05 Xutan Peng , Chen Li , Zhi Cai , Faqiang Shi , Yidan Liu , Jianxin Li

People feel emotions when listening to music. However, emotions are not tangible objects that can be exploited in the music composition process as they are difficult to capture and quantify in algorithms. We present a novel musical…

Artificial Intelligence · Computer Science 2018-10-09 Eunjeong Stella Koh , Shahrokh Yadegari

Pitch-based sonification of quantitative data increases the accessibility of data visualizations that are otherwise inaccessible for blind and low-vision (BLV) individuals. We argue that, although pitch representations can reveal the…

Human-Computer Interaction · Computer Science 2026-04-13 Can Liu , Wenjie Jiang , Shaolun Ruan , Kotaro Hara , Yong Wang

Version identification (VI) has seen substantial progress over the past few years. On the one hand, the introduction of the metric learning paradigm has favored the emergence of scalable yet accurate VI systems. On the other hand, using…

Sound · Computer Science 2022-10-05 Mathilde Abrassart , Guillaume Doras

Expressive variations of tempo and dynamics are an important aspect of music performances, involving a variety of underlying factors. Previous work has showed a relation between such expressive variations (in particular expressive tempo)…

Sound · Computer Science 2018-07-04 Carlos Cancino-Chacón , Maarten Grachten

The task of learning the piano has been a centuries-old challenge for novices, experts and technologists. Several innovations have been introduced to support proper posture, movement, and motivation, while sight-reading and improvisation…

Human-Computer Interaction · Computer Science 2022-11-14 Jordan Aiko Deja

We make some general observations about partial orders on quotient spaces, and explore their use in music theory, in two different contexts. In the first, we show that many of the most familiar chord and scale types in Western music appear…

General Mathematics · Mathematics 2012-11-02 Marcus Pendergrass

This paper explores a specific sub-task of cross-modal music retrieval. We consider the delicate task of retrieving a performance or rendition of a musical piece based on a description of its style, expressive character, or emotion from a…

Sound · Computer Science 2024-01-29 Shreyan Chowdhury , Gerhard Widmer

Music Genres, as a popular meta-data of music, are very useful to organize, explore or search music datasets. Soft music genres are weighted multiple-genre annotations to songs. In this initial work, we propose horizontally stacked bar…

Human-Computer Interaction · Computer Science 2021-04-13 Swaroop Panda , S. T. Roy

Polyphonic music files were analyzed using the set of symbols that produced the Minimal Entropy Description which we call the Fundamental Scale. This allowed us to create a novel space to represent music pieces by developing: a) a method to…

Sound · Computer Science 2017-01-13 Gerardo Febres , Klaus Jaffe

To decide whether a digital video has been captured by a given device, multimedia forensic tools usually exploit characteristic noise traces left by the camera sensor on the acquired frames. This analysis requires that the noise pattern…

Multimedia · Computer Science 2020-05-21 Sara Mandelli , Fabrizio Argenti , Paolo Bestagini , Massimo Iuliani , Alessandro Piva , Stefano Tubaro

Fourier transform methods are used to analyze functions and data sets to provide frequencies, amplitudes, and phases of underlying oscillatory components. Fast Fourier transform (FFT) methods offer speed advantages over evaluation of…

Data Analysis, Statistics and Probability · Physics 2015-07-08 Elya Courtney , Michael Courtney

Expressive music performance rendering involves interpreting symbolic scores with variations in timing, dynamics, articulation, and instrument-specific techniques, resulting in performances that capture musical can emotional intent. We…

Audio and Speech Processing · Electrical Eng. & Systems 2025-02-12 Huan Zhang , Akira Maezawa , Simon Dixon

We address the issue of editing musical performance data, in particular MIDI files representing human musical performances. Editing such sequences raises specific issues due to the ambiguous nature of musical objects. The first source of…

Sound · Computer Science 2019-03-21 Pierre Roy , Francois Pachet

If our aesthetic preferences are affected by fractal geometry of nature, scaling regularities would be expected to appear in all art forms, including music. While a variety of statistical tools have been proposed to analyze time series in…

Pattern Formation and Solitons · Physics 2023-04-05 John McDonough , Andrzej Herczyński

This chapter reconsiders the concept of pitch in contemporary popular music (CPM), particularly in electronic contexts where traditional assumptions may fail. Drawing on phenomenological and inductive methods, it argues that pitch is not an…

Sound · Computer Science 2025-07-08 Emmanuel Deruty

Current models for audio--sheet music retrieval via multimodal embedding space learning use convolutional neural networks with a fixed-size window for the input audio. Depending on the tempo of a query performance, this window captures more…

Sound · Computer Science 2018-09-18 Matthias Dorfer , Jan Hajič , Gerhard Widmer