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The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been…

Optimization and Control · Mathematics 2019-07-24 Sophie M. Fosson , Mohammad Abuabiah

We discuss the interpolation of the electric and magnetic fields within a charge-conserving Particle-In-Cell scheme. The choice of the interpolation procedure for the fields acting on a particle can be constrained by analyzing conservation…

Plasma Physics · Physics 2012-09-14 Igor V. Sokolov

In high-dynamic range (HDR) analog-to-digital converters (ADCs), having many quantization bits minimizes quantization errors but results in high bit rates, limiting their application scope. A strategy combining modulo-folding with a low-DR…

Signal Processing · Electrical Eng. & Systems 2023-11-23 Satish Mulleti , Resham Yashwanth Kumar , Laxmeesha Somappa

In this paper we study the topic of signal restoration using complexity regularization, quantifying the compression bit-cost of the signal estimate. While complexity-regularized restoration is an established concept, solid practical methods…

Information Theory · Computer Science 2018-11-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

This paper develops a new framework, called modular regression, to utilize auxiliary information -- such as variables other than the original features or additional data sets -- in the training process of linear models. At a high level, our…

Methodology · Statistics 2023-11-27 Ying Jin , Dominik Rothenhäusler

Recent advances in high refresh rate displays as well as the increased interest in high rate of slow motion and frame up-conversion fuel the demand for efficient and cost-effective multi-frame video interpolation solutions. To that regard,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Zhixiang Chi , Rasoul Mohammadi Nasiri , Zheng Liu , Juwei Lu , Jin Tang , Konstantinos N Plataniotis

The versatility of recent machine learning approaches makes them ideal for improvement of next generation video compression solutions. Unfortunately, these approaches typically bring significant increases in computational complexity and are…

Image and Video Processing · Electrical Eng. & Systems 2021-06-18 Luka Murn , Saverio Blasi , Alan F. Smeaton , Marta Mrak

One-dimensional signal decomposition is a well-established and widely used technique across various scientific fields. It serves as a highly valuable pre-processing step for data analysis. While traditional decomposition techniques often…

Machine Learning · Computer Science 2025-06-09 Samuele Salti , Andrea Pinto , Alessandro Lanza , Serena Morigi

We outline the super-resolution reconstruction problem posed as a maximization of probability. We then introduce an interpolation method based on polygonal pixel overlap, express it as a linear operator, and use it to improve…

Computer Vision and Pattern Recognition · Computer Science 2012-10-17 Stéfan J. van der Walt , B. M. Herbst

A novel method of contrast enhancement is proposed for underexposed images, in which heavy noise is hidden. Under low light conditions, images taken by digital cameras have low contrast in dark or bright regions. This is due to a limited…

Multimedia · Computer Science 2019-04-26 Chien-Cheng Chien , Yuma Kinoshita , Hitoshi Kiya

We revisit the source image estimation problem from blind source separation (BSS). We generalize the traditional minimum distortion principle to maximum likelihood estimation with a model for the residual spectrograms. Because residual…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-14 Robin Scheibler

Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component signals into simple oscillatory mono-components, like the groundbreaking Empirical Mode…

Numerical Analysis · Mathematics 2024-01-30 Giovanni Barbarino , Antonio Cicone

Multimodal Dataset Distillation (MDD) seeks to condense large-scale image-text datasets into compact surrogates while retaining their effectiveness for cross-modal learning. Despite recent progress, existing MDD approaches often suffer from…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Xin Zhang , Ziruo Zhang , Jiawei Du , Zuozhu Liu , Joey Tianyi Zhou

Many information systems employ lossy compression as a crucial intermediate stage among other processing components. While the important distortion is defined by the system's input and output signals, the compression usually ignores the…

Information Theory · Computer Science 2018-05-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Sampling and quantization are crucial in digital signal processing, but quantization introduces errors, particularly due to distribution mismatch between input signals and quantizers. Existing methods to reduce this error require precise…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Aman Rishal Chemmala , Satish Mulleti

The common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-specific parameters into the camera model and requires estimation of these distortion parameters. The task of estimating…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Lili Ma , YangQuan Chen , Kevin L. Moore

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

Although wireless and IP-based access to video content gives a new degree of freedom to the viewers, the risk of severe block losses caused by transmission errors is always present. The purpose of this paper is to present a new method for…

Image and Video Processing · Electrical Eng. & Systems 2022-07-04 Jürgen Seiler , André Kaup

The root raised-cosine pulse commonly used in linear digital modulations yields exactly two intersymbol interference components from the preceding and the subsequent data symbols, provided that the roll-off factor is $100\%$ and the…

Information Theory · Computer Science 2023-01-05 Pavel Loskot

The purpose of this paper is to introduce a very efficient algorithm for signal extrapolation. It can widely be used in many applications in image and video communication, e. g. for concealment of block errors caused by transmission errors…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Jürgen Seiler , André Kaup