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We introduce a modified algorithm to perform nonlinear filtering of a time series by locally linear phase space projections. Unlike previous implementations, the algorithm can be used not only for a posteriori processing but includes the…

chao-dyn · Physics 2015-06-24 Thomas Schreiber , Marcus Richter

Nonlinear least squares data-fitting driven by physical process simulation is a classic and widely successful technique for the solution of inverse problems in science and engineering. Known as "Full Waveform Inversion" in application to…

Optimization and Control · Mathematics 2020-10-28 William W. Symes

Biometric recognition on partial captured targets is challenging, where only several partial observations of objects are available for matching. In this area, deep learning based methods are widely applied to match these partial captured…

Computer Vision and Pattern Recognition · Computer Science 2018-10-18 Lingxiao He , Zhenan Sun , Yuhao Zhu , Yunbo Wang

Boltzmann samplers and the recursive method are prominent algorithmic frameworks for the approximate-size and exact-size random generation of large combinatorial structures, such as maps, tilings, RNA sequences or various tree-like…

Combinatorics · Mathematics 2017-10-31 Maciej Bendkowski , Olivier Bodini , Sergey Dovgal

The time-domain technique for impedance spectroscopy consists of computing the excitation voltage and current response Fourier images by fast or discrete Fourier transformation and calculating their relation. Here we propose an alternative…

Data Analysis, Statistics and Probability · Physics 2017-12-14 Daniil D. Stupin , Sergei V. Koniakhin , Nikolay A. Verlov , Michael V. Dubina

An accelerated class of adaptive scheme of iterative thresholding algorithms is studied analytically and empirically. They are based on the feedback mechanism of the null space tuning techniques (NST+HT+FB). The main contribution of this…

Information Theory · Computer Science 2020-05-15 Ningning Han , Shidong Li , Zhanjie Song

We consider the inverse problem of reconstructing an unknown function $u$ from a finite set of measurements, under the assumption that $u$ is the trajectory of a transport-dominated problem with unknown input parameters. We propose an…

Numerical Analysis · Mathematics 2024-11-12 Olga Mula , Cecilia Pagliantini , Federico Vismara

Noise reduction is one the most important and still active research topic in low-level image processing due to its high impact on object detection and scene understanding for computer vision systems. Recently, we can observe a substantial…

Computer Vision and Pattern Recognition · Computer Science 2020-05-22 Krystian Radlak , Lukasz Malinski , Bogdan Smolka

At X-ray beamlines of synchrotron light sources, the achievable time-resolution for 3D tomographic imaging of the interior of an object has been reduced to a fraction of a second, enabling rapidly changing structures to be examined. The…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Marinus J. Lagerwerf , Allard A. Hendriksen , Jan-Willem Buurlage , K. Joost Batenburg

We address the problem of signal denoising and pattern recognition in processing batch-mode time-series data by combining linear time-invariant filters, orthogonal multiresolution representations, and sparsity-based methods. We propose a…

Signal Processing · Electrical Eng. & Systems 2019-06-28 G. V. Prateek , Yo-El Ju , Arye Nehorai

This paper presents an efficient algorithm for robust network reconstruction of Linear Time-Invariant (LTI) systems in the presence of noise, estimation errors and unmodelled nonlinearities. The method here builds on previous work on robust…

Dynamical Systems · Mathematics 2016-11-18 David Hayden , Ye Yuan , Jorge Gonçalves

Optimized Pulse Patterns (OPPs) are gaining increasing popularity in the power electronics community over the well-studied pulse width modulation due to their inherent ability to provide the switching instances that optimize current…

Optimization and Control · Mathematics 2020-10-29 Lukas Wachter , Orcun Karaca , Georgios Darivianakis , Themistoklis Charalambous

We revisit the inductive matrix completion problem that aims to recover a rank-$r$ matrix with ambient dimension $d$ given $n$ features as the side prior information. The goal is to make use of the known $n$ features to reduce sample and…

Machine Learning · Statistics 2018-03-06 Xiao Zhang , Simon S. Du , Quanquan Gu

In the context of high-dimensional linear regression models, we propose an algorithm of exact support recovery in the setting of noisy compressed sensing where all entries of the design matrix are independent and identically distributed…

Statistics Theory · Mathematics 2019-10-23 Mohamed Ndaoud , Alexandre B. Tsybakov

We propose a general framework for reconstructing and denoising single entries of incomplete and noisy entries. We describe: effective algorithms for deciding if and entry can be reconstructed and, if so, for reconstructing and denoising…

Machine Learning · Statistics 2013-04-02 Franz J. Király , Louis Theran

For reconstructing large tomographic datasets fast, filtered backprojection-type or Fourier-based algorithms are still the method of choice, as they have been for decades. These robust and computationally efficient algorithms have been…

Numerical Analysis · Mathematics 2021-08-31 Poulami Somanya Ganguly , Daniël M. Pelt , Doga Gürsoy , Francesco de Carlo , K. Joost Batenburg

The main features of the statistical approach to inverse problems are described on the example of a linear model with additive noise. The approach does not use any Bayesian hypothesis regarding an unknown object; instead, the standard…

Methodology · Statistics 2017-05-05 V. Yu. Terebizh

We develop a general data-driven and template-free method for the extraction of event waveforms in the presence of background noise. Recent gravitational-wave observations provide one of the significant scientific areas requiring data…

Instrumentation and Methods for Astrophysics · Physics 2021-10-18 A. Akhshi , H. Alimohammadi , S. Baghram , S. Rahvar , M. R. Rahimi Tabar , H. Arfaei

We propose a simple, interpretable framework for solving a wide range of image reconstruction problems such as denoising and deconvolution. Given a corrupted input image, the model synthesizes a spatially varying linear filter which, when…

Image and Video Processing · Electrical Eng. & Systems 2018-11-29 Shu Kong , Charless Fowlkes

Various pulse shape discrimination methods have been used to solve the neutron-gamma discrimination problem. But most of them are limited to off-line calculation due to the computation amount and FPGA performance. In order to realize real…

Instrumentation and Detectors · Physics 2022-01-26 Haoqi Ye , Ge Jin , Lian Chen