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A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Multimedia · Computer Science 2010-11-12 Ali Ayremlou , Mohammad Tofighi , Farokh Marvasti

Autoencoders provide a powerful framework for learning compressed representations by encoding all of the information needed to reconstruct a data point in a latent code. In some cases, autoencoders can "interpolate": By decoding the convex…

Machine Learning · Computer Science 2018-07-25 David Berthelot , Colin Raffel , Aurko Roy , Ian Goodfellow

This paper investigates the problem of temporally interpolating dynamic 3D point clouds with large non-rigid deformation. We formulate the problem as estimation of point-wise trajectories (i.e., smooth curves) and further reason that…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Yiming Zeng , Yue Qian , Qijian Zhang , Junhui Hou , Yixuan Yuan , Ying He

This study investigates the application of deep-learning diffusion models for the super-resolution of weather data, a novel approach aimed at enhancing the spatial resolution and detail of meteorological variables. Leveraging the…

Machine Learning · Computer Science 2024-09-02 Jan Martinů , Petr Šimánek

Machine learning (ML)-based weather models have recently undergone rapid improvements. These models are typically trained on gridded reanalysis data from numerical data assimilation systems. However, reanalysis data comes with limitations,…

Machine Learning · Computer Science 2023-11-01 Jonas Scholz , Tom R. Andersson , Anna Vaughan , James Requeima , Richard E. Turner

This work focuses on developing methods for approximating the solution operators of a class of parametric partial differential equations via neural operators. Neural operators have several challenges, including the issue of generating…

Numerical Analysis · Mathematics 2023-11-17 Prashant K. Jha

Deep-learning (DL) weather prediction models offer some notable advantages over traditional physics-based models, including auto-differentiability and low computational cost, enabling detailed diagnostics of forecast errors. Using our…

Atmospheric and Oceanic Physics · Physics 2025-07-23 Uros Perkan , Ziga Zaplotnik , Gregor Skok

In this paper, a new extrapolation economy cascadic multigrid method is proposed to solve the image restoration model. The new method combines the new extrapolation formula and quadratic interpolation to design a nonlinear prolongation…

Numerical Analysis · Mathematics 2023-11-07 Zhaoteng Chu , Ziqi Yan , Chenliang Li

Based on tensor neural network, we propose an interpolation method for high dimensional non-tensor-product-type functions. This interpolation scheme is designed by using the tensor neural network based machine learning method. This means…

Numerical Analysis · Mathematics 2024-04-12 Yongxin Li , Zhongshuo Lin , Yifan Wang , Hehu Xie

Remote sensing images are frequently degraded by adverse weather conditions, particularly clouds and haze, which severely impair downstream applications. Existing restoration methods typically rely on computationally heavy architectures or…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Runci Bai , Kui Jiang , Xiang Chen , Chen Wu , Dianjie Lu , Guijuan Zhang , Zhuoran Zheng

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

Due to strong learning abilities of convolutional neural networks (CNNs), they have become mainstream methods for image super-resolution. However, there are big differences of different deep learning methods with different types. There is…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Chunwei Tian , Mingjian Song , Wangmeng Zuo , Bo Du , Yanning Zhang , Shichao Zhang

Accurate time series forecasting is a fundamental challenge in data science. It is often affected by external covariates such as weather or human intervention, which in many applications, may be predicted with reasonable accuracy. We refer…

Machine Learning · Computer Science 2023-08-01 Jimeng Shi , Rukmangadh Myana , Vitalii Stebliankin , Azam Shirali , Giri Narasimhan

We present a deep network interpolation strategy for accelerated parallel MR image reconstruction. In particular, we examine the network interpolation in parameter space between a source model that is formulated in an unrolled scheme with…

Image and Video Processing · Electrical Eng. & Systems 2020-07-14 Chen Qin , Jo Schlemper , Kerstin Hammernik , Jinming Duan , Ronald M Summers , Daniel Rueckert

Frame interpolation attempts to synthesise frames given one or more consecutive video frames. In recent years, deep learning approaches, and notably convolutional neural networks, have succeeded at tackling low- and high-level computer…

Computer Vision and Pattern Recognition · Computer Science 2019-02-27 Joost van Amersfoort , Wenzhe Shi , Alejandro Acosta , Francisco Massa , Johannes Totz , Zehan Wang , Jose Caballero

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

The interpolation, prediction, and feature analysis of fine-gained air quality are three important topics in the area of urban air computing. The solutions to these topics can provide extremely useful information to support air pollution…

Machine Learning · Computer Science 2018-04-12 Zhongang Qi , Tianchun Wang , Guojie Song , Weisong Hu , Xi Li , Zhongfei , Zhang

Weather Recognition plays an important role in our daily lives and many computer vision applications. However, recognizing the weather conditions from a single image remains challenging and has not been studied thoroughly. Generally, most…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Bin Zhao , Xuelong Li , Xiaoqiang Lu , Zhigang Wang

World is looking for clean and renewable energy sources that do not pollute the environment, in an attempt to reduce greenhouse gas emissions that contribute to global warming. Wind energy has significant potential to not only reduce…

Machine Learning · Computer Science 2024-01-31 Alif Bin Abdul Qayyum , Xihaier Luo , Nathan M. Urban , Xiaoning Qian , Byung-Jun Yoon

This work is devoted to studying dynamic interpolation for obstacle avoidance. This is a problem that consists of minimizing a suitable energy functional among a set of admissible curves subject to some interpolation conditions. The given…

Optimization and Control · Mathematics 2018-09-11 Anthony Bloch , Margarida Camarinha , Leonardo Colombo