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A time-domain perturbation model of the nonlinear Schrodinger equation is used to study wavelength-division multiplexed communication over a single polarization. The model explains (a) why constant-composition codes offer an improvement in…

Information Theory · Computer Science 2023-08-02 Reza Rafie Borujeny , Frank Kschischang

We study the compressible Navier-Stokes system driven by physically relevant transport noise, where the noise influences both the continuity and momentum equations. Our approach is based on transforming the system into a partial…

Analysis of PDEs · Mathematics 2025-04-15 D. Breit , E. Feireisl , M. Hofmanova , P. B. Mucha

Theoretical models that describe oscillations in biological systems are often either a limit cycle oscillator, where the deterministic nonlinear dynamics gives sustained periodic oscillations, or a noise-induced oscillator, where a fixed…

Quantitative Methods · Quantitative Biology 2015-01-20 Namiko Mitarai , Uri Alon , Mogens H. Jensen

In theory, active control could be used to reduce the unwanted noise reflections from surfaces such as a submarine hull or the walls of an anechoic room. In the recent years, a real-time algorithm has been developed to this effect at the…

Classical Physics · Physics 2009-11-25 Emmanuel Friot , Alexandre Gintz

While our world is filled with its own natural sounds that we can't resist enjoying, it is also chock-full of other sounds that can be irritating, this is noise. Noise not only influences the working efficiency but also the human's health.…

Sound · Computer Science 2023-11-02 kai Wu , Yuanyuan Chen

Many physical phenomena involving mobile agents involve time-varying scalar fields, e.g., quadrotors that emit noise. As a consequence, agents can influence and can be influenced by various environmental factors such as noise. This paper…

Dynamical Systems · Mathematics 2024-06-21 Idris Seidu , Roberto Tron

We estimate $n$ phases (angles) from noisy pairwise relative phase measurements. The task is modeled as a nonconvex least-squares optimization problem. It was recently shown that this problem can be solved in polynomial time via convex…

Optimization and Control · Mathematics 2018-04-10 Nicolas Boumal

A variance reduction technique in nonparametric smoothing is proposed: at each point of estimation, form a linear combination of a preliminary estimator evaluated at nearby points with the coefficients specified so that the asymptotic bias…

Statistics Theory · Mathematics 2007-08-22 Ming-Yen Cheng , Liang Peng , Jyh-Shyang Wu

Randomized compiling (RC) is an established tool to tailor arbitrary quantum noise channels into Pauli errors. The effect of both spatial and temporal noise correlations in randomly compiled circuits, however, is not fully understood. Here,…

In this paper, an approximation recursive formula of the mean-square error lower bound for the discrete-time nonlinear filtering problem when noises of dynamic systems are temporally correlated is derived based on the Van Trees (posterior)…

Dynamical Systems · Mathematics 2015-04-28 Zhiguo Wang , Xiaojing Shen

We introduce a simple and linear SNR (strictly speaking, periodic to random power ratio) estimator (0dB to 80dB without additional calibration/linearization) for providing reliable descriptions of aperiodicity in speech corpus. The main…

Audio and Speech Processing · Electrical Eng. & Systems 2018-07-06 Hideki Kawahara , Ken-Ichi Sakakibara , Masanori Morise , Hideki Banno , Tomoki Toda

Advancements in parallel processing have lead to a surge in multilayer perceptrons' (MLP) applications and deep learning in the past decades. Recurrent Neural Networks (RNNs) give additional representational power to feedforward MLPs by…

Machine Learning · Statistics 2014-10-22 Saahil Ognawala , Justin Bayer

We consider finite frequency noise in a mesoscopic system with arbitrary interactions, connected to many terminals kept at finite electrochemical potentials. We show that the excess noise, obtained by subtracting the noise at zero voltage…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ines Safi

This paper investigates a non-negative matrix factorization (NMF)-based approach to the semi-supervised single-channel speech enhancement problem where only non-stationary additive noise signals are given. The proposed method relies on…

Sound · Computer Science 2013-09-25 Nikolay Lyubimov , Mikhail Kotov

We study the effect of noise for a physically realizable flow system with a hyperbolic chaotic attractor of the Smale - Williams type in the Poincare cross-section [S.P. Kuznetsov, Phys. Rev. Lett. 95, 2005, 144101]. It is shown numerically…

Chaotic Dynamics · Physics 2008-05-02 Alexey Yu. Jalnine , Sergey P. Kuznetsov

We propose a new system suitable for studying analogue gravity effects, consisting of a gas flowing in a duct with a compliant wall. Effective transonic flows are obtained from uniform, low Mach number flows through the reduction of the…

General Relativity and Quantum Cosmology · Physics 2015-12-22 Yves Aurégan , Pierre Fromholz , Florent Michel , Vincent Pagneux , Renaud Parentani

Biological systems are notoriously noisy. Noise, therefore, also plays an important role in many models of neural impulse generation. Noise is not only introduced for more realistic simulations but also to account for cooperative effects…

Neurons and Cognition · Quantitative Biology 2007-05-23 Martin Tobias Huber , Hans Albert Braun

Acoustic echo cannot be entirely removed by linear adaptive filters due to the nonlinear relationship between the echo and far-end signal. Usually a post processing module is required to further suppress the echo. In this paper, we propose…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-18 Hongsheng Chen , Teng Xiang , Kai Chen , Jing Lu

We address the problem of noise regression in the output of gravitational-wave (GW) interferometers, using data from the physical environmental monitors (PEM). The objective of the regression analysis is to predict environmental noise in…

We introduce a conditional pseudo-reversible normalizing flow for constructing surrogate models of a physical model polluted by additive noise to efficiently quantify forward and inverse uncertainty propagation. Existing surrogate modeling…

Machine Learning · Computer Science 2024-04-02 Minglei Yang , Pengjun Wang , Ming Fan , Dan Lu , Yanzhao Cao , Guannan Zhang