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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

Industrial particle accelerators typically operate in dirtier environments than research accelerators, leading to increased noise in RF and electronic systems. Furthermore, given that industrial accelerators are mass produced, less…

Accelerator Physics · Physics 2024-09-09 M. Henderson , J. P. Edelen , J. Einstein-Curtis , C. C. Hall , J. A. Diaz Cruz , A. L. Edelen

In many applications, ultra-wide band (UWB) system experiences impulse noise due to surrounding physical noise sources. Therefore, a conventional receiver (correlator or matched filter) designed for additive Gaussian noise system is not…

Information Theory · Computer Science 2017-07-17 Sanjeev Sharma , Anubha Gupta , Vimal Bhatia

The fragility of quantum systems makes them ideally suited for sensing applications at the nanoscale. However, interpreting the output signal of a qubit-based sensor is generally complicated by background clutter due to out-of-band spectral…

Quantum Physics · Physics 2020-08-19 Virginia Frey , Leigh M. Norris , Lorenza Viola , Michael J. Biercuk

We show a tight lower bound of $\Omega(N \log\log N)$ on the number of transmissions required to compute the parity of $N$ input bits with constant error in a noisy communication network of $N$ randomly placed sensors, each having one input…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-10 Chinmoy Dutta , Yashodhan Kanoria , D. Manjunath , Jaikumar Radhakrishnan

All 21-cm signal experiments rely on electronic receivers that affect the data via both multiplicative and additive biases through the receiver's gain and noise temperature. While experiments attempt to remove these biases, the residuals of…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Keith Tauscher , David Rapetti , Bang D. Nhan , Alec Handy , Neil Bassett , Joshua Hibbard , David Bordenave , Richard F. Bradley , Jack O. Burns

Compressed sensing has shown that it is possible to reconstruct sparse high dimensional signals from few linear measurements. In many cases, the solution can be obtained by solving an L1-minimization problem, and this method is accurate…

Numerical Analysis · Mathematics 2009-04-27 Deanna Needell

The signal demixing problem seeks to separate a superposition of multiple signals into its constituent components. This paper studies a two-stage approach that first decompresses and subsequently deconvolves the noisy and undersampled…

Information Retrieval · Computer Science 2022-05-25 Zhenan Fan , Halyun Jeong , Babhru Joshi , Michael P. Friedlander

We develop a technique to find simultaneous measurements for noisy quantum observables in finite-dimensional Hilbert spaces. We use the method to derive lower bounds for the noise needed to make incompatible measurements jointly measurable.…

Quantum Physics · Physics 2016-08-17 Roope Uola , Kimmo Luoma , Tobias Moroder , Teiko Heinosaari

This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise. The dynamics are given by a…

Optimization and Control · Mathematics 2016-12-15 Tidiane Diallo , Dan Goreac

The truncated singular value decomposition may be used to find the solution of linear discrete ill-posed problems in conjunction with Tikhonov regularization and requires the estimation of a regularization parameter that balances between…

Numerical Analysis · Mathematics 2022-08-16 Rosemary A. Renaut , Anthony W. Helmstetter , Saeed Vatankhah

We consider the problem of simultaneous reduction of acoustic echo, reverberation and noise. In real scenarios, these distortion sources may occur simultaneously and reducing them implies combining the corresponding distortion-specific…

Sound · Computer Science 2020-07-28 Guillaume Carbajal , Romain Serizel , Emmanuel Vincent , Eric Humbert

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

After being trained, classifiers must often operate on data that has been corrupted by noise. In this paper, we consider the impact of such noise on the features of binary classifiers. Inspired by tools for classifier robustness, we…

Machine Learning · Statistics 2017-03-09 Frederic Sala , Shahroze Kabir , Guy Van den Broeck , Lara Dolecek

In this paper, quantizer design for weak-signal detection under arbitrary binary channel in generalized Gaussian noise is studied. Since the performances of the generalized likelihood ratio test (GLRT) and Rao test are asymptotically…

Signal Processing · Electrical Eng. & Systems 2018-05-09 Guanyu Wang , Jiang Zhu , Zhiwei Xu

Cardiac auscultation is an essential clinical skill, requiring excellent hearing to distinguish subtle differences in timing and pitch of heart sounds. However, diagnosing solely from these sounds is often challenging due to interference…

We develop a computational procedure to estimate the covariance hyperparameters for semiparametric Gaussian process regression models with additive noise. Namely, the presented method can be used to efficiently estimate the variance of the…

Machine Learning · Computer Science 2022-06-22 Siavash Ameli , Shawn C. Shadden

-We develop a polar coding scheme for empirical coordination in a two-node network with a noisy link in which the input and output signals have to be coordinated with the source and the reconstruction. In the case of non-causal encoding and…

Information Theory · Computer Science 2016-09-22 Giulia Cervia , Laura Luzzi , Matthieu Bloch , Maël Le Treust

A general method of coding over expansions is proposed, which allows one to reduce the highly non-trivial problem of coding over continuous channels to a much simpler discrete ones. More specifically, the focus is on the additive…

Information Theory · Computer Science 2012-02-09 O. Ozan Koyluoglu , Kumar Appaiah , Hongbo Si , Sriram Vishwanath

The use of quantum annealers in black-box optimization to obtain the desired properties of a product with a small number of trials has attracted attention. However, the application of this technique to engineering design problems is still…

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