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Many time series classification tasks, where labels vary over time, are affected by label noise that also varies over time. Such noise can cause label quality to improve, worsen, or periodically change over time. We first propose and…

Machine Learning · Computer Science 2025-03-18 Sujay Nagaraj , Walter Gerych , Sana Tonekaboni , Anna Goldenberg , Berk Ustun , Thomas Hartvigsen

Anomalous audio in speech recordings is often caused by speaker voice distortion, external noise, or even electric interferences. These obstacles have become a serious problem in some fields, such as high-quality music mixing and speech…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-11 Qiang Huang , Thomas Hain

This paper presents novel information-theoretic PHY layer performance improvement for combating the system fading effects in wireless terrestrial communication applications. Robust space-time system strategies in cooperation with the high…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Ardavan Rahimian

We investigate the effect of time-correlated noise on the phase fluctuations of nonlinear oscillators. The analysis is based on a methodology that transforms a system subject to colored noise, modeled as an Ornstein-Uhlenbeck process, into…

Adaptation and Self-Organizing Systems · Physics 2019-05-31 Michele Bonnin , Fabio Traversa , Fabrizio Bonani

Statistical early warning signs can be used to identify an approaching bifurcation in stochastic dynamical systems and are now regularly employed in applications concerned with the identification of potential rapid, non-linear change or…

Dynamical Systems · Mathematics 2023-11-29 Lucia S. Layritz , Ilya Pavlyukevich , Anja Rammig , Christian Kuehn

Recently, new types of interference in electric vehicles (EVs), such as converters switching and/or battery chargers, have been found to degrade the performance of wireless digital transmission systems. Measurements show that such an…

Signal Processing · Electrical Eng. & Systems 2024-05-20 Chin-Hung Chen , Wen-Hung Huang , Boris Karanov , Alex Young , Yan Wu , Wim van Houtum

In view of the current availability and variety of measured data, there is an increasing demand for powerful signal processing tools that can cope successfully with the associated problems that often arise when data are being analysed. In…

Data Analysis, Statistics and Probability · Physics 2014-12-16 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska

This paper is centered around the approximation of dynamical systems by means of Gaussian processes. To this end, trajectories of such systems must be collected to be used as training data. The measurements of these trajectories are…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Tobias M. Wolff , Victor G. Lopez , Matthias A. Müller

The numerical emulation of quantum physics and quantum chemistry often involves an intractable number of degrees of freedom and admits no known approximation in general form. In practice, representing quantum-mechanical states using…

This paper investigates the effect of oscillator phase noise and channel variations due to fading on the performance of communication systems at frequency bands higher than 10GHz. Phase noise and channel models are reviewed and…

Information Theory · Computer Science 2016-11-18 M. Reza Khanzadi , Rajet Krishnan , Dan Kuylenstierna , Thomas Eriksson

We present a general framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase…

Quantum Physics · Physics 2014-08-12 Jie-Dong Yue , Yu-Ran Zhang , Heng Fan

The paper addresses the problem of calculating the noise-induced switching rates in systems with delay-distributed kernels and Gaussian noise. A general variational formulation for the switching rate is derived for any distribution kernel,…

Data Analysis, Statistics and Probability · Physics 2018-07-04 Y. N. Kyrychko , I. B. Schwartz

We develop and present a generalization of the GN-model - the generalized Gaussian noise (GGN) model - to enabling a fair application of GN-model to predict generation of nonlinear interference when loss parameters relevantly vary with…

Optics · Physics 2018-06-25 Mattia Cantono , Dario Pilori , Alessio Ferrari , Vittorio Curri

We present a distributed (non-Bayesian) learning algorithm for the problem of parameter estimation with Gaussian noise. The algorithm is expressed as explicit updates on the parameters of the Gaussian beliefs (i.e. means and precision). We…

Optimization and Control · Mathematics 2016-12-08 Angelia Nedić , Alex Olshevsky , César A. Uribe

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…

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

Motivated by the problem of predicting sleep states, we develop a mixed effects model for binary time series with a stochastic component represented by a Gaussian process. The fixed component captures the effects of covariates on the…

Methodology · Statistics 2018-10-23 Xu Gao , Babak Shahbaba , Hernando Ombao

Noise simulation is a very powerful tool in signal analysis helping to foresee the system performance in real experimental situations. Time series generation is however a hard challenge when a robust model of the noise sources is missing.…

Data Analysis, Statistics and Probability · Physics 2015-05-19 M. Carrettoni , O. Cremonesi

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

Statistics Theory · Mathematics 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan

Optical beams propagating through atmospheric turbulence undergo spatiotemporal intensity fluctuations that deviate significantly from an ideal Gaussian profile. In this work, we present a unified theoretical and experimental framework for…

Optics · Physics 2026-03-10 Shouvik Sadhukhan , C. S. Narayanamurthy