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We consider distributed recursive estimation of consensus+innovations type in the presence of heavy-tailed sensing and communication noises. We allow that the sensing and communication noises are mutually correlated while independent…

Optimization and Control · Mathematics 2023-11-13 Manojlo Vukovic , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

Speech audio quality is subject to degradation caused by an acoustic environment and isotropic ambient and point noises. The environment can lead to decreased speech intelligibility and loss of focus and attention by the listener. Basic…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-05 Paula Sánchez López , Paul Callens , Milos Cernak

A problem of image denoising when images are corrupted by a non-stationary noise is considered in this paper. Since in practice no a priori information on noise is available, noise statistics should be pre-estimated for image denoising. In…

Image and Video Processing · Electrical Eng. & Systems 2021-09-27 Sheyda Ghanbaralizadeh Bahnemiri , Mykola Ponomarenko , Karen Egiazarian

This paper is concerned with the estimation of the period of an unknown periodic function in Gaussian white noise. A class of estimators of the period is constructed by means of a penalized maximum likelihood method. A second-order…

Statistics Theory · Mathematics 2011-11-10 I. Castillo

Impulse response estimation in high noise and in-the-wild settings, with minimal control of the underlying data distributions, is a challenging problem. We propose a novel framework for parameterizing and estimating impulse responses based…

Sound · Computer Science 2022-02-08 Alexander Richard , Peter Dodds , Vamsi Krishna Ithapu

Recent algebraic parametric estimation techniques led to point-wise derivative estimates by using only the iterated integral of a noisy observation signal. In this paper, we extend such differentiation methods by providing a larger choice…

Numerical Analysis · Mathematics 2011-03-04 Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti

Instance-dependent label noise is realistic but rather challenging, where the label-corruption process depends on instances directly. It causes a severe distribution shift between the distributions of training and test data, which impairs…

Machine Learning · Computer Science 2022-10-12 Manyi Zhang , Yuxin Ren , Zihao Wang , Chun Yuan

While automatic subjective speech quality assessment has witnessed much progress, an open question is whether an automatic quality assessment at frame resolution is possible. This would be highly desirable, as it adds explainability to the…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-10 Michael Kuhlmann , Fritz Seebauer , Petra Wagner , Reinhold Haeb-Umbach

In the standard Gaussian linear measurement model $Y=X\mu_0+\xi \in \mathbb{R}^m$ with a fixed noise level $\sigma>0$, we consider the problem of estimating the unknown signal $\mu_0$ under a convex constraint $\mu_0 \in K$, where $K$ is a…

Statistics Theory · Mathematics 2022-01-24 Qiyang Han

We present a simple algorithm for identifying and correcting real-valued noisy labels from a mixture of clean and corrupted sample points using Gaussian process regression. A heteroscedastic noise model is employed, in which additive…

Machine Learning · Computer Science 2021-03-30 Yu-Hang Tang , Yuanran Zhu , Wibe A. de Jong

This paper considers the problem of recovering the permutation of an n-dimensional random vector X observed in Gaussian noise. First, a general expression for the probability of error is derived when a linear decoder (i.e., linear estimator…

Information Theory · Computer Science 2021-05-10 Minoh Jeong , Alex Dytso , Martina Cardone

A subthreshold signal is transmitted through a channel and may be detected when some noise -- with known structure and proportional to some level -- is added to the data. There is an optimal noise level, called stochastic resonance, that…

Statistics Theory · Mathematics 2007-06-13 Stefano M. Iacus

Level assessment for foreign language students is necessary for putting them in the right level group, furthermore, interviewing students is a very time-consuming task, so we propose to automate the evaluation of speaker fluency level by…

Machine Learning · Statistics 2018-09-03 Alan Preciado-Grijalva , Ramon F. Brena

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

Signal Processing · Electrical Eng. & Systems 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti

This paper proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left…

Information Theory · Computer Science 2017-10-10 Mohamed A. Suliman , Ayed M. Alrashdi , Tarig Ballal , Tareq Y. Al-Naffouri

In noisy label learning, estimating noisy class posteriors plays a fundamental role for developing consistent classifiers, as it forms the basis for estimating clean class posteriors and the transition matrix. Existing methods typically…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Rui Zhao , Bin Shi , Jianfei Ruan , Tianze Pan , Bo Dong

We consider the problem of estimating the unknown response function in the Gaussian white noise model. We first utilize the recently developed Bayesian maximum a posteriori "testimation" procedure of Abramovich et al. (2007) for recovering…

Statistics Theory · Mathematics 2009-12-23 Felix Abramovich , Vadim Grinshtein , Athanasia Petsa , Theofanis Sapatinas

This paper aims to address two fundamental challenges arising in eigenvector estimation and inference for a low-rank matrix from noisy observations: (1) how to estimate an unknown eigenvector when the eigen-gap (i.e. the spacing between the…

Statistics Theory · Mathematics 2021-09-09 Chen Cheng , Yuting Wei , Yuxin Chen

Listening in noisy environments can be difficult even for individuals with a normal hearing thresholds. The speech signal can be masked by noise, which may lead to word misperceptions on the side of the listener, and overall difficulty to…

Computation and Language · Computer Science 2021-07-20 Anupama Chingacham , Vera Demberg , Dietrich Klakow

Existing research on learning with noisy labels predominantly focuses on synthetic label noise. Although synthetic noise possesses well-defined structural properties, it often fails to accurately replicate real-world noise patterns. In…

Computation and Language · Computer Science 2024-07-10 Hongfei Huang , Tingting Liang , Xixi Sun , Zikang Jin , Yuyu Yin