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We give rigorous proofs and generalizations of partial fraction expansions for string amplitudes that were recently discovered by Saha and Sinha.

Classical Analysis and ODEs · Mathematics 2025-02-21 Hjalmar Rosengren

Frequency tagging is a powerful approach to investigate the neural processing of sensory features, and is recently adapted to study the neural correlates of superordinate structures, i.e., chunks, in complex sequences such as speech and…

Neurons and Cognition · Quantitative Biology 2023-01-04 Nai Ding

Modelling human perception of musical similarity is critical for the evaluation of generative music systems, musicological research, and many Music Information Retrieval tasks. Although human similarity judgments are the gold standard,…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-29 Jeff Ens , Philippe Pasquier

Choral singing is a widely practiced form of ensemble singing wherein a group of people sing simultaneously in polyphonic harmony. The most commonly practiced setting for choir ensembles consists of four parts; Soprano, Alto, Tenor and Bass…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-19 Darius Petermann , Pritish Chandna , Helena Cuesta , Jordi Bonada , Emilia Gomez

It is already known that both auditory and visual stimulus is able to convey emotions in human mind to different extent. The strength or intensity of the emotional arousal vary depending on the type of stimulus chosen. In this study, we try…

The local theory of complex dimensions for real and $p$-adic fractal strings describes oscillations that are intrinsic to the geometry, dynamics and spectrum of archimedean and nonarchimedean fractal strings. We aim to develop a global…

Number Theory · Mathematics 2020-12-22 Michel L. Lapidus , Hùng Lũ' , Machiel van Frankenhuijsen

We discover a general stringy scaling behavior for 1. All n-point hard string scattering amplitudes (HSSA) and 2. A class of n-point Regge string scattering amplitudes (RSSA) to all string loop orders. The number of independent kinematics…

High Energy Physics - Theory · Physics 2024-08-26 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

Compositionality in language refers to how much the meaning of some phrase can be decomposed into the meaning of its constituents and the way these constituents are combined. Based on the premise that substitution by synonyms is…

Computation and Language · Computer Science 2017-03-13 Christina Lioma , Niels Dalum Hansen

In this paper, we propose SinTra, an auto-regressive sequential generative model that can learn from a single multi-track music segment, to generate coherent, aesthetic, and variable polyphonic music of multi-instruments with an arbitrary…

Sound · Computer Science 2022-04-22 Qingwei Song , Qiwei Sun , Dongsheng Guo , Haiyong Zheng

The musical realm is a promising area in which to expect to find nontrivial topological structures. This paper describes several kinds of metrics on musical data, and explores the implications of these metrics in two ways: via techniques of…

Algebraic Topology · Mathematics 2014-03-20 Ryan Budney , William Sethares

Music, enchanting and poetic, permeates every corner of human civilization. Although music is not unfamiliar to people, our understanding of its essence remains limited, and there is still no universally accepted scientific description.…

We investigate methods for the automatic labeling of the taan section, a prominent structural component of the Hindustani Khayal vocal concert. The taan contains improvised raga-based melody rendered in the highly distinctive style of rapid…

Sound · Computer Science 2018-07-31 Amruta Vidwans , Nachiket Deo , Preeti Rao

We present a statistical analysis of music scores from different composers using detrended fluctuation analysis. We find different fluctuation profiles that correspond to distinct auto-correlation structures of the musical pieces. Further,…

In North-Indian-Music-System(NIMS),tabla is mostly used as percussive accompaniment for vocal-music in polyphonic-compositions. The human auditory system uses perceptual grouping of musical-elements and easily filters the tabla component,…

Sound · Computer Science 2018-11-08 Susmita Bhaduri , Anirban Bhaduri , Dipak Ghosh

This paper is a survey and an analysis of different ways of using deep learning (deep artificial neural networks) to generate musical content. We propose a methodology based on five dimensions for our analysis: Objective - What musical…

Sound · Computer Science 2019-08-09 Jean-Pierre Briot , Gaëtan Hadjeres , François-David Pachet

We propose a generative framework for multi-track music source separation (MSS) that reformulates the task as conditional discrete token generation. Unlike conventional approaches that directly estimate continuous signals in the time or…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-20 Pengbo Lyu , Xiangyu Zhao , Chengwei Liu , Haoyin Yan , Xiaotao Liang , Hongyu Wang , Shaofei Xue

The identification of structural differences between a music performance and the score is a challenging yet integral step of audio-to-score alignment, an important subtask of music information retrieval. We present a novel method to detect…

Sound · Computer Science 2021-02-16 Ruchit Agrawal , Daniel Wolff , Simon Dixon

This paper presents a generative AI model for automated music composition with LSTM networks that takes a novel approach at encoding musical information which is based on movement in music rather than absolute pitch. Melodies are encoded as…

Sound · Computer Science 2021-08-25 Hooman Rafraf

We say a string has a cadence if a certain character is repeated at regular intervals, possibly with intervening occurrences of that character. We call the cadence anchored if the first interval must be the same length as the others. We…

Data Structures and Algorithms · Computer Science 2016-10-12 Amihood Amir , Alberto Apostolico , Travis Gagie , Gad M. Landau

A new candidate source of gravitational radiation is described: the nearly-perfect harmonic series from individual loops of cosmic string. It is argued that theories with light cosmic strings give rise to a population of numerous long-lived…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-02 Matthew R DePies , Craig J Hogan