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In the present paper, we consider the problem of matrix completion with noise. Unlike previous works, we consider quite general sampling distribution and we do not need to know or to estimate the variance of the noise. Two new nuclear-norm…

Statistics Theory · Mathematics 2014-02-06 Olga Klopp

We investigate the correspondence between classical noise and quantum environments. Although it has been known that the classical noise can be mapped to the quantum environments only for pure dephasing and infinite-temperature dissipation…

Quantum Physics · Physics 2024-12-31 Jiarui Zeng , Guo-Hao Xu , Weijie Huang , Yao Yao

A lightweight and reproducible denoising pipeline for high-throughput Raman spectroscopy is presented. The approach relies on a one-dimensional convolutional autoencoder trained using a Noise2Noise strategy, requiring neither external…

Artificial Intelligence · Computer Science 2026-05-19 David Martin-Calle , Cesar Alvarez Llamas , Vincent Motto- Ros , Christophe Dujardin , Jérémie Margueritat , David Rodney

The interaction of an atomic two-level system and a squeezed vacuum leads to interesting novel effects in atomic dynamics, including line narrowing in resonance fluorescence and absorption spectra, and a suppressed (enhanced) decay of the…

Quantum Physics · Physics 2009-10-30 N. Lütkenhaus , J. I. Cirac , P. Zoller

The four-dimensional nonlinear model is extended to include the inter-channel stimulated Raman scattering, enabling accurate prediction of dual-polarization four-dimensional modulation formats and probabilistically shaped constellations in…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Zhiwei Liang , Bin Chen , Jiwei Xu , Yi Lei , Qingqing Hu , Fan Zhang , Gabriele Liga

Realistic two-phase flow problems of interest often involve high $Re$ flows with high density ratios. Accurate and robust simulation of such problems requires special treatments. In this work, we present a consistent, energy-conserving…

Fluid Dynamics · Physics 2019-12-24 Shahab Mirjalili , Ali Mani

Additive or multiplicative stationary noise recently became an important issue in applied fields such as microscopy or satellite imaging. Relatively few works address the design of dedicated denoising methods compared to the usual white…

Computer Vision and Pattern Recognition · Computer Science 2013-07-18 Jérôme Fehrenbach , Pierre Weiss

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

Machine Learning · Statistics 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

We treat the optimal linear filtering problem for a sum of two second order uncorrelated generalized stochastic processes. This is an operator equation involving covariance operators. We study both the wide-sense stationary case and the…

Functional Analysis · Mathematics 2025-04-28 Patrik Wahlberg

Inverse problems are key issues in several scientific areas, including signal processing and medical imaging. Data-driven approaches for inverse problems aim for learning model and regularization parameters from observed data samples, and…

Optimization and Control · Mathematics 2024-11-28 Mathias Staudigl , Simon Weissmann , Tristan van Leeuwen

We present a method to systematically study multi-photon transmission in one dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix…

Quantum Physics · Physics 2017-05-24 Tian Feng See , Changsuk Noh , Dimitris G. Angelakis

We study phase-synchronization in a driven two-level system coupled to a non-Markovian bosonic reservoir. The dynamics is described by treating the system-bath coupling and the coherent drive without invoking the rotating-wave…

Quantum Physics · Physics 2026-02-18 Federico Settimo , Bassano Vacchini

We propose an extension of the Landauer-Buttiker scattering theory to include effects of interaction in the active region of a mesoscopic conductor structure. The current expression obtained coincides with those derived by different…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Nam Do , P. Dollfus , V. L. Nguyen

We consider sensor array imaging for simultaneous noise blended sources. We study a migration imaging functional and we analyze its sensitivity to singular perturbations of the speed of propagation of the medium. We consider two kinds of…

Analysis of PDEs · Mathematics 2012-10-09 Ennio Fedrizzi

We show how two-point correlation functions derived within non-isotropic random wave models are in fact quantum results that are obtained in the appropriate limit in terms of the exact Green function of the quantum system. Since no…

Chaotic Dynamics · Physics 2007-05-23 J. D. Urbina , K. Richter

Spectral line-shapes provide a window into the local environment coupled to a quantum transition in the condensed phase. In this paper, we build upon a stochastic model to account for non-stationary background processes produced by…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Hao Li , S. A. Shah , Eric R. Bittner , Andrei Piryatinski , Carlos Silva

Fermionic reduced density matrices summarize the key observables in fermionic systems. In electronic systems, the two-particle reduced density matrix (2-RDM) is sufficient to determine the energy and most physical observables of interest.…

Quantum Physics · Physics 2023-06-12 Linqing Peng , Xing Zhang , Garnet Kin-Lic Chan

Advanced measurement techniques and high performance computing have made large data sets available for a wide range of turbulent flows that arise in engineering applications. Drawing on this abundance of data, dynamical models can be…

Fluid Dynamics · Physics 2020-05-06 Armin Zare , Tryphon T. Georgiou , Mihailo R. Jovanović

This paper deals with a challenging, frequently encountered, yet not properly investigated problem in two-frame optical flow estimation. That is, the input frames are compounds of two imaging layers -- one desired background layer of the…

Computer Vision and Pattern Recognition · Computer Science 2016-05-09 Jiaolong Yang , Hongdong Li , Yuchao Dai , Robby T. Tan

The phenomenon of stochastic resonance, wherein the stimulus-response of a system can be maximized by an intermediate level of noise, has been extensively investigated through linear response theory. As yet a unified response-noise or…

Adaptation and Self-Organizing Systems · Physics 2025-03-03 Cong Liu , Xin-Ze Song , Zhi-Xi Wu , Guo-Yong Yuan
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