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The quality of datasets is a critical issue in big data mining. More interesting things could be mined from datasets with higher quality. The existence of missing values in geographical data would worsen the quality of big datasets. To…

Numerical Analysis · Mathematics 2020-02-21 Kaifeng Gao , Gang Mei , Salvatore Cuomo , Francesco Piccialli , Nengxiong Xu

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

Differentiable image sampling in the form of backward warping has seen broad adoption in tasks like depth estimation and optical flow prediction. In contrast, how to perform forward warping has seen less attention, partly due to additional…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Simon Niklaus , Feng Liu

To quantify the complexity of a system, entropy-based methods have received considerable critical attentions in real-world data analysis. Among numerous entropy algorithms, amplitude-based formulas, represented by Sample Entropy, suffer…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Hongjian Xiao , Danilo P. Mandic

Random stepped frequency (RSF) radar, which transmits random-frequency pulses, can suppress the range ambiguity, improve convert detection, and possess excellent electronic counter-countermeasures (ECCM) ability [1]. In this paper, we apply…

Signal Processing · Electrical Eng. & Systems 2018-08-30 Tianyao Huang , Yimin Liu , Huadong Meng , Xiqin Wang

This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, A. Orlando, Compensated convexity methods for approximations and…

Metric Geometry · Mathematics 2018-09-11 Kewei Zhang , Elaine Crooks , Antonio Orlando

The interpolation-regression approximation is a powerful tool in numerical analysis for reconstructing functions defined on square or triangular domains from their evaluations at a regular set of nodes. The importance of this technique lies…

Numerical Analysis · Mathematics 2025-08-12 Francesco Dell'Accio , Francisco Marcellán , Federico Nudo

Room Impulse Responses estimation is a fundamental problem in spatial audio processing and speech enhancement. In this paper, we build upon our previously introduced diffusion-based inpainting framework for Room Impulse Response…

Sound · Computer Science 2026-03-31 Sagi Della Torre , Mirco Pezzoli , Fabio Antonacci , Sharon Gannot

Amplitude demodulation is a classical operation used in signal processing. For a long time, its effective applications in practice have been limited to narrowband signals. In this work, we generalize amplitude demodulation to wideband…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Mantas Gabrielaitis

The Empirical Interpolation Method (EIM) is a greedy procedure that constructs approximate representations of two-variable functions in separated form. In its classical presentation, the two variables play a non-symmetric role. In this…

Numerical Analysis · Mathematics 2019-08-12 Fabien Casenave , Alexandre Ern , Tony Lelièvre

The problem of extrapolation and interpolation of asymptotic series is considered. Several new variants of improving the accuracy of the self-similar approximants are suggested. The methods are illustrated by examples typical of chemical…

Mathematical Physics · Physics 2010-04-08 V. I. Yukalov , E. P. Yukalova , S. Gluzman

The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic. Among all techniques that have been proposed to defeat this phenomenon, there…

Numerical Analysis · Mathematics 2014-07-10 Stefano De Marchi , Francesco Dell'Accio , Mariarosa Mazza

We study the Electrical Impedance Tomography Bayesian inverse problem for recovering the conductivity given noisy measurements of the voltage on some boundary surface electrodes. The uncertain conductivity depends linearly on a countable…

Numerical Analysis · Mathematics 2023-06-16 Quang Huy Pham , Viet Ha Hoang

The focus of this work is on the analysis of transmit beamforming schemes with a low-rate feedback link in wireless sensor/relay networks, where nodes in the network need to implement beamforming in a distributed manner. Specifically, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-14 C. Lin , V. V. Veeravalli , S. Meyn

Spherical radial-basis-based kernel interpolation abounds in image sciences including geophysical image reconstruction, climate trends description and image rendering due to its excellent spatial localization property and perfect…

Machine Learning · Computer Science 2024-01-17 Xiaotong Liu , Jinxin Wang , Di Wang , Shao-Bo Lin

Approximate Message Passing (AMP) has been shown to be a superior method for inference problems, such as the recovery of signals from sets of noisy, lower-dimensionality measurements, both in terms of reconstruction accuracy and in…

Information Theory · Computer Science 2015-06-10 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

We describe the application of a scalable algorithm for interpolating solution data in the overlapping mesh region of two solvers. This feature is essential to obtain a globally consistent solution for in-situ coupled atmospheric wave…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-04 Hannes Brandt , Tim Griesbach , Matthew Zettergren , Scott Aiton , Jonathan Snively , Donna Calhoun , Carsten Burstedde

Dispersion-based photonics-assisted microwave measurement systems provide immense potential for real-time analysis of wideband and dynamic signals. However, they face two critical challenges: a difficulty in achieving high frequency…

Optics · Physics 2026-02-13 Chi Jiang , Taixia Shi , Hang Yang , Lei Gao , Xianxin Zhang , Yiqing Liu , Yang Chen

To obtain the most accurate pulse arrival times from radio pulsars, it is necessary to correct or mitigate the effects of the propagation of radio waves through the warm and ionised interstellar medium. We examine both the strength of…

Instrumentation and Methods for Astrophysics · Physics 2016-11-15 R. M. Shannon , J. M. Cordes

Numerical integration and emulation are fundamental topics across scientific fields. We propose novel adaptive quadrature schemes based on an active learning procedure. We consider an interpolative approach for building a surrogate…

Computation · Statistics 2021-01-20 F. Llorente , L. Martino , V. Elvira , D. Delgado , J. López-Santiago