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This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding n scalar polynomials such that an equation involving a linear…

Classical Analysis and ODEs · Mathematics 2015-06-24 Mikhail Kudryavtsev , Sergio Palafox , Luis O. Silva

In this paper, we introduce a sequential variational mode decomposition method to separate non-stationary mixed signals successively. This method is inspired by the variational method, and can precisely recover the original components one…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Wei Chen

This paper presents a super-resolution method based on gradient-based adaptive interpolation. In this method, in addition to considering the distance between the interpolated pixel and the neighboring valid pixel, the interpolation…

Multimedia · Computer Science 2009-03-25 Jinyu Chu , Ju Liu , Jianping Qiao , Xiaoling Wang , Yujun Li

A novel method for correcting the effect of nonlinear distortion in orthogonal frequency division multiplexing signals is proposed. The method depends on adaptively selecting the distortion over a subset of the data carriers, and then using…

Information Theory · Computer Science 2015-07-01 Ebrahim B. Al-Safadi , Tareq Y. Al-Naffouri , Mudassir Masood , Anum Ali

Nonlinear phase noise, often called the Gordon-Mollenauer effect, can be compensated electronically by subtracting from the received phase a correction proportional to the received intensity. The optimal scaling factor is derived…

Optics · Physics 2013-01-15 Keang-Po Ho , Joseph M. Kahn

In this contribution, we propose a detailed study of interpolation-based data-driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer…

Numerical Analysis · Mathematics 2023-01-13 Quirin Aumann , Ion Victor Gosea

Existing works reduce motion blur and up-convert frame rate through two separate ways, including frame deblurring and frame interpolation. However, few studies have approached the joint video enhancement problem, namely synthesizing…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Wang Shen , Wenbo Bao , Guangtao Zhai , Li Chen , Xiongkuo Min , Zhiyong Gao

Resampling techniques are being widely used at different stages of satellite image processing. The existing methodologies cannot perfectly recover features from a completely under sampled image and hence an intelligent adaptive resampling…

Computer Vision and Pattern Recognition · Computer Science 2014-05-26 S. K. Katiyar , P. V. Arun

In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

Optimization and Control · Mathematics 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

Constructing a propagation map from a set of scattered measurements finds important applications in many areas, such as localization, spectrum monitoring and management. Classical interpolation-type methods have poor performance in regions…

Signal Processing · Electrical Eng. & Systems 2023-01-25 Hao Sun , Junting Chen

Continual learning poses a fundamental challenge for modern machine learning systems, requiring models to adapt to new tasks while retaining knowledge from previous ones. Addressing this challenge necessitates the development of efficient…

Machine Learning · Computer Science 2024-04-10 Jędrzej Kozal , Jan Wasilewski , Bartosz Krawczyk , Michał Woźniak

The task of reconstructing smooth signals from streamed data in the form of signal samples arises in various applications. This work addresses such a task subject to a zero-delay response; that is, the smooth signal must be reconstructed…

Machine Learning · Computer Science 2023-08-22 Emilio Ruiz-Moreno , Luis Miguel López-Ramos , Baltasar Beferull-Lozano

The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for the computation of nonlinear modes, nonlinear modal testing is…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Simon Peter , Remco I. Leine , Malte Krack

When approximating a function that depends on a parameter, one encounters many practical examples where linear interpolation or linear approximation with respect to the parameters prove ineffective. This is particularly true for responses…

Numerical Analysis · Mathematics 2018-12-27 Donsub Rim , Kyle T. Mandli

This paper introduces an interpolation framework for the weighted-H2 model reduction problem. We obtain a new representation of the weighted-H2 norm of SISO systems that provides new interpolatory first order necessary conditions for an…

Numerical Analysis · Mathematics 2013-09-03 Branimir Anic , Christopher A. Beattie , Serkan Gugercin , Athanasios C. Antoulas

Exemplar-based class-incremental learning is to recognize new classes while not forgetting old ones, whose samples can only be saved in limited memory. The ratio fluctuation of new samples to old exemplars, which is caused by the variation…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Zhiheng Liu , Kai Zhu , Yang Cao

Deep learning has been recently applied to many problems in wireless communications including modulation classification and symbol decoding. Many of the existing end-to-end learning approaches demonstrated robustness to signal distortions…

Signal Processing · Electrical Eng. & Systems 2020-09-15 Samer Hanna , Chris Dick , Danijela Cabric

Recurrent neural networks (RNNs) are effective at emulating the non-linear, stateful behavior of analog guitar amplifiers and distortion effects. Unlike the case of direct circuit simulation, RNNs have a fixed sample rate encoded in their…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-31 Alistair Carson , Alec Wright , Stefan Bilbao

Pump-probe microscopy is an emerging nonlinear imaging technique based on high repetition rate lasers and fast intensity modulation. Here we present new methods for pump-probe microscopy that keep the beam intensity constant and instead…

Optics · Physics 2021-04-07 Jun Jiang , David Grass , Yue Zhou , Warren S. Warren , Martin C. Fischer

Traditional approaches to interpolate/extrapolate frames in a video sequence require accurate pixel correspondences between images, e.g., using optical flow. Their results stem on the accuracy of optical flow estimation, and could generate…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Zhe Hu , Yinglan Ma , Lizhuang Ma
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