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Real music signals are highly variable, yet they have strong statistical structure. Prior information about the underlying physical mechanisms by which sounds are generated and rules by which complex sound structure is constructed (notes,…

Machine Learning · Statistics 2016-06-13 Pablo A. Alvarado , Dan Stowell

Speech enhancement in hearing aids remains a difficult task in nonstationary acoustic environments, mainly because current signal processing algorithms rely on fixed, manually tuned parameters that cannot adapt in situ to different users or…

This paper presents a speech enhancement method, where an adaptive threshold is statistically determined based on Gaussian modeling of Teager energy (TE) operated perceptual wavelet packet (PWP) coefficients of noisy speech. In order to…

Audio and Speech Processing · Electrical Eng. & Systems 2018-03-07 Md Tauhidul Islam , Celia Shahnaz

In this letter, we address the problem of estimating Gaussian noise level from the trained dictionaries in update stage. We first provide rigorous statistical analysis on the eigenvalue distributions of a sample covariance matrix. Then we…

Signal Processing · Electrical Eng. & Systems 2017-12-12 Rui Chen , Changshui Yang , Huizhu Jia , Xiaodong Xie

An empirical Bayes approach to the estimation of possibly sparse sequences observed in Gaussian white noise is set out and investigated. The prior considered is a mixture of an atom of probability at zero and a heavy-tailed density \gamma,…

Statistics Theory · Mathematics 2007-06-13 Iain M. Johnstone , Bernard W. Silverman

This paper presents a novel Bayesian strategy for the estimation of smooth signals corrupted by Gaussian noise. The method assumes a smooth evolution of a succession of continuous signals that can have a numerical or an analytical…

Applications · Statistics 2016-02-12 Abderrahim Halimi , Gerald S. Buller , Steve McLaughlin , Paul Honeine

Diffusion models have found great success in generating high quality, natural samples of speech, but their potential for density estimation for speech has so far remained largely unexplored. In this work, we leverage an unconditional…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-16 Danilo de Oliveira , Julius Richter , Jean-Marie Lemercier , Simon Welker , Timo Gerkmann

Classical methods for psychometric function estimation either require excessive measurements or produce only a low-resolution approximation of the target psychometric function. In this paper, we propose a novel solution for rapid screening…

Machine Learning · Computer Science 2020-02-06 Trevor J. Larsen , Gustavo Malkomes , Dennis L. Barbour

We study the problem of estimating the mode and maximum of an unknown regression function in the presence of noise. We adopt the Bayesian approach by using tensor-product B-splines and endowing the coefficients with Gaussian priors. In the…

Statistics Theory · Mathematics 2018-03-16 William Weimin Yoo , Subhashis Ghosal

New problems arise when the standard theory of joint detection and estimation is applied to a set of signals drawn from a continuous family; decision thresholds must be determined as a function of the continuous parameter x characterizing…

Statistics Theory · Mathematics 2014-07-17 D. Michael Milder , Robert G. Lindgren , Morris M. Berman

Reliable determination of sensory thresholds is the holy grail of signal detection theory. However, there exists no gold standard for the estimation of thresholds based on neurophysiological parameters, although a reliable estimation method…

Quantitative Methods · Quantitative Biology 2019-10-01 Achim Schilling , Richard Gerum , Patrick Krauss , Claus Metzner , Konstantin Tziridis , Holger Schulze

Safe Bayesian optimization (BO) with Gaussian processes is an effective tool for tuning control policies in safety-critical real-world systems, specifically due to its sample efficiency and safety guarantees. However, most safe BO…

Optimization and Control · Mathematics 2025-12-15 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

Phase estimation is known to be a robust method for single-qubit gate calibration in quantum computers, while Bayesian estimation is widely used in devising optimal methods for learning in quantum systems. We present Bayesian phase…

Quantum Physics · Physics 2025-05-06 Brennan de Neeve , Andrey V. Lebedev , Vlad Negnevitsky , Jonathan P. Home

We study learning in a noisy bisection model: specifically, Bayesian algorithms to learn a target value V given access only to noisy realizations of whether V is less than or greater than a threshold theta. At step t = 0, 1, 2, ..., the…

Machine Learning · Computer Science 2012-02-20 Mithun Chakraborty , Sanmay Das , Malik Magdon-Ismail

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

Methodology · Statistics 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

We consider the problem of parameter estimation by the observations of deterministic signal in white gaussian noise. It is supposed that the signal has a singularity of cusp-type. The properties of the maximum likelihood and bayesian…

Statistics Theory · Mathematics 2015-09-10 Oleg Chernoyarov , Serguei Dachian , Yury Kutoyants

Gaussian smoothing combined with a probabilistic framework for denoising via the empirical Bayes formalism, i.e., the Tweedie-Miyasawa formula (TMF), are the two key ingredients in the success of score-based generative models in Euclidean…

Machine Learning · Statistics 2025-02-04 Francis Bach , Saeed Saremi

While there is no a priori definition of good singing voices, we tend to make consistent evaluations of the quality of singing almost instantaneously. Such an instantaneous evaluation might be based on the sound spectrum that can be…

Audio and Speech Processing · Electrical Eng. & Systems 2020-03-31 Akito Yoshida , Shigeru Shinomoto

Calibration is nowadays one of the most important processes involved in the extraction of valuable data from measurements. The current availability of an optimum data cube measured from a heterogeneous set of instruments and surveys relies…

Instrumentation and Methods for Astrophysics · Physics 2012-08-13 Maria Jose Marquez

Audio signal processing algorithms are frequently assessed through subjective listening tests in which participants directly score degraded signals on a unidimensional numerical scale. However, this approach is susceptible to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-26 Jack Webb , Lorenzo Picinali
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