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In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The…

Machine Learning · Statistics 2018-11-07 Arun Venkitaraman , Pascal Frossard , Saikat Chatterjee

Quantum neural networks (QNNs) use parameterized quantum circuits with data-dependent inputs and generate outputs through the evaluation of expectation values. Calculating these expectation values necessitates repeated circuit evaluations,…

Quantum Physics · Physics 2024-06-26 David A. Kreplin , Marco Roth

The total variation filtering technique emerges as a highly effective strategy for restoring signals with discontinuities in various parts of their structure. This study presents and implements a one-dimensional signal filtering algorithm…

Optimization and Control · Mathematics 2024-10-14 Joyce Oliveira dos Santos , Francisco Márcio Barboza

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

Raman spectra obtained in real world applications are often a noisy combination of several spectra of various substances in a tested sample. Unmixing such spectra into individual components corresponding to each of the substances is of…

Machine Learning · Computer Science 2026-04-27 Gaoruishu Long , Jinchao Liu , Bo Liu , Jie Liu , Xiaolin Hu

This paper studies the problem of line spectral estimation in the continuum of a bounded interval with one snapshot of array measurement. The single-snapshot measurement data is turned into a Hankel data matrix which admits the Vandermonde…

Information Theory · Computer Science 2014-09-23 Wenjing Liao , Albert Fannjiang

This paper presents a fast model-agnostic method for recovering noisy Phasor Measurement Unit (PMU) datastreams with missing entries. The measurements are first transformed into a Page matrix, and the original signals are reconstructed…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Shuchismita Biswas , Virgilio A. Centeno

This paper proposes a novel particle filter for tracking time-varying states of multiple targets jointly from superpositional data, which depend on the sum of contributions of all targets. Many conventional tracking methods rely on…

Signal Processing · Electrical Eng. & Systems 2020-08-26 Nobutaka Ito , Simon Godsill

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction that is useful for various data science problems. However, many applications involve heterogeneous data that varies in quality due to noise…

Machine Learning · Statistics 2023-11-14 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

Imaginary-time response functions of finite-temperature quantum systems are often obtained with methods that exhibit stochastic or systematic errors. Reducing these errors comes at a large computational cost -- in quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Alexander F. Kemper , Chao Yang , Emanuel Gull

To assist in the development of machine learning methods for automated classification of spectroscopic data, we have generated a universal synthetic dataset that can be used for model validation. This dataset contains artificial spectra…

Machine Learning · Computer Science 2022-06-15 Jan Schuetzke , Nathan J. Szymanski , Markus Reischl

The success of quantum noise sensing methods depends on the optimal interplay between properly designed control pulses and statistically informative measurement data on a specific quantum-probe observable. To enhance the information content…

Quantum Physics · Physics 2020-03-27 Nicola Dalla Pozza , Stefano Gherardini , Matthias M. Müller , Filippo Caruso

Background: High-throughput proteomics techniques, such as mass spectrometry (MS)-based approaches, produce very high-dimensional data-sets. In a clinical setting one is often interested in how mass spectra differ between patients of…

Many stochastic time series can be described by a Langevin equation composed of a deterministic and a stochastic dynamical part. Such a stochastic process can be reconstructed by means of a recently introduced nonparametric method, thus…

Data Analysis, Statistics and Probability · Physics 2013-01-01 J. Carvalho , F. Raischel , M. Haase , P. G. Lind

We present a neural analysis and synthesis (NANSY) framework that can manipulate voice, pitch, and speed of an arbitrary speech signal. Most of the previous works have focused on using information bottleneck to disentangle analysis features…

Sound · Computer Science 2021-10-29 Hyeong-Seok Choi , Juheon Lee , Wansoo Kim , Jie Hwan Lee , Hoon Heo , Kyogu Lee

Multiplicative noise, also known as speckle or pepper noise, commonly affects images produced by synthetic aperture radar (SAR), lasers, or optical lenses. Unlike additive noise, which typically arises from thermal processes or external…

Image and Video Processing · Electrical Eng. & Systems 2024-12-16 An Vuong , Thinh Nguyen

Signal processing in the time-frequency plane has a long history and remains a field of methodological innovation. For instance, detection and denoising based on the zeros of the spectrogram have been proposed since 2015, contrasting with a…

Signal Processing · Electrical Eng. & Systems 2024-02-14 Juan M. Miramont , Rémi Bardenet , Pierre Chainais , Francois Auger

Coherent imaging systems like synthetic aperture radar are susceptible to multiplicative noise that makes applications like automatic target recognition challenging. In this paper, NeighCNN, a deep learning-based speckle reduction algorithm…

Image and Video Processing · Electrical Eng. & Systems 2021-08-27 Praveen Ravirathinam , Darshan Agrawal , J. Jennifer Ranjani

We aim to redefine robust ego-motion estimation and photorealistic 3D reconstruction by addressing a critical limitation: the reliance on noise-free data in existing models. While such sanitized conditions simplify evaluation, they fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Xiaohao Xu , Tianyi Zhang , Shibo Zhao , Xiang Li , Sibo Wang , Yongqi Chen , Ye Li , Bhiksha Raj , Matthew Johnson-Roberson , Sebastian Scherer , Xiaonan Huang

Numerical simulation has become omnipresent in the automotive domain, posing new challenges such as high-dimensional parameter spaces and large as well as incomplete and multi-faceted data. In this design study, we show how interactive…