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Related papers: Entropy-based Tuning of Musical Instruments

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The present paper studies a feedback regulation problem, which may be interpreted as an adaptive control problem, but has not yet been studied in the control literature. The problem, which arises in at least two different biological…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau , Eduardo Sontag , Murat Arcak

The simple system composed of three neural-like noisy elements is considered. Two of them (sensory neurons or sensors) are stimulated by noise and periodic signals with different ratio of frequencies, and the third one (interneuron)…

Disordered Systems and Neural Networks · Physics 2010-12-07 Yuriy V. Ushakov , Alexander A. Dubkov , Bernardo Spagnolo

Most sounds of interest consist of complex, time-dependent admixtures of tones of diverse frequencies and variable amplitudes. To detect and process these signals, the ear employs a highly nonlinear, adaptive, real-time spectral analyzer:…

Neurons and Cognition · Quantitative Biology 2014-08-12 T. Reichenbach , A. J. Hudspeth

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

The process by which humans synchronize to a musical beat is believed to occur through error-correction where an individual's estimates of the period and phase of the beat time are iteratively adjusted to align with an external stimuli.…

Dynamical Systems · Mathematics 2020-05-14 Áine Byrne , John Rinzel , Amitabha Bose

Recently, there have been many attempts to implement quantum computation experimentally. For this purpose, quantum coherence should be maintained during gate operations. Therefore, the control of decoherence is a very important problem. In…

Mesoscale and Nanoscale Physics · Physics 2008-12-22 Toshifumi Itakura , Fumitada Itakura

Conventional multiple-point active noise control (ANC) systems require placing error microphones within the region of interest (ROI), inconveniencing users. This paper designs a feasible monitoring microphone arrangement placed outside the…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-27 Yile Angela Zhang , Fei Ma , Thushara Abhayapala , Prasanga Samarasinghe , Amy Bastine

Even if the tuning between the first and second register of a clarinet has been optimized by instrument makers, the lowest twelfths remain slightly too large (inharmonicity). In this article, we study the problem from two different points…

Classical Physics · Physics 2007-05-23 Vincent Debut , Jean Kergomard , Franck Laloe

For many natural and engineered systems, a central function or design goal is the synchronization of one or more rhythmic or oscillating processes to an external forcing signal, which may be periodic on a different time-scale from the…

Dynamical Systems · Mathematics 2014-01-10 Anatoly Zlotnik , Jr-Shin Li

Experimental records of active bundle motility are used to demonstrate the presence of a low-dimensional chaotic attractor in hair cell dynamics. Dimensionality tests from dynamic systems theory are applied to estimate the number of…

Biological Physics · Physics 2017-05-01 Justin Faber , Dolores Bozovic

We propose a unified model for three inter-related tasks: 1) to \textit{separate} individual sound sources from a mixed music audio, 2) to \textit{transcribe} each sound source to MIDI notes, and 3) to\textit{ synthesize} new pieces based…

Sound · Computer Science 2021-08-10 Liwei Lin , Qiuqiang Kong , Junyan Jiang , Gus Xia

Information plays an important role in our understanding of the physical world. We hence propose an entropic measure of information for any physical theory that admits systems, states and measurements. In the quantum and classical world,…

Quantum Physics · Physics 2010-05-04 Anthony J. Short , Stephanie Wehner

The expressive variability in producing a musical note conveys information essential to the modeling of orchestration and style. As such, it plays a crucial role in computer-assisted browsing of massive digital music corpora. Yet, although…

Sound · Computer Science 2018-08-30 Vincent Lostanlen , Joakim Andén , Mathieu Lagrange

The intrinsic fluctuations of electron spins in semiconductors and atomic vapors generate a small, randomly-varying "spin noise" that can be detected by sensitive optical methods such as Faraday rotation. Recent studies have demonstrated…

A new definition of musical pitch is proposed. A Finite-Difference Time Domain (FDTM) model of the cochlea is used to calculate spike trains caused by tone complexes and by a recorded classical guitar tone. All harmonic tone complexes,…

Neurons and Cognition · Quantitative Biology 2017-11-16 Rolf Bader

Music Inpainting is the task of filling in missing or lost information in a piece of music. We investigate this task from an interactive music creation perspective. To this end, a novel deep learning-based approach for musical score…

Machine Learning · Computer Science 2020-04-14 Ashis Pati , Alexander Lerch , Gaëtan Hadjeres

Music information retrieval distinguishes between low- and high-level descriptions of music. Current generative AI models rely on text descriptions that are higher level than the controls familiar to studio musicians. Pitch strength, a…

Sound · Computer Science 2025-07-08 Emmanuel Deruty

We adapt tools from information theory to analyze how an observer comes to synchronize with the hidden states of a finitary, stationary stochastic process. We show that synchronization is determined by both the process's internal…

Statistical Mechanics · Physics 2015-05-19 James P. Crutchfield , Christopher J. Ellison , Ryan G. James , John R. Mahoney

Can we hear the sound of our brain? Is there any technique which can enable us to hear the neuro-electrical impulses originating from the different lobes of brain? The answer to all these questions is YES. In this paper we present a novel…

Neurons and Cognition · Quantitative Biology 2017-12-25 Sayan Nag , Shankha Sanyal , Archi Banerjee , Ranjan Sengupta , Dipak Ghosh

We have recently seen great progress in learning interpretable music representations, ranging from basic factors, such as pitch and timbre, to high-level concepts, such as chord and texture. However, most methods rely heavily on music…

Machine Learning · Computer Science 2024-02-12 Xuanjie Liu , Daniel Chin , Yichen Huang , Gus Xia
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