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In this paper, we present a new deep learning architecture for addressing the problem of supervised learning with sparse and irregularly sampled multivariate time series. The architecture is based on the use of a semi-parametric…

Machine Learning · Computer Science 2019-09-18 Satya Narayan Shukla , Benjamin M. Marlin

Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adjoint or an approximate inverse transform which are…

Numerical Analysis · Mathematics 2017-05-23 Richard C. Barnard , Rick Archibald

Interpolation models are critical for a wide range of applications, from numerical optimization to artificial intelligence. The reliability of the provided interpolated value is of utmost importance, and it is crucial to avoid the…

Numerical Analysis · Mathematics 2023-08-15 Daniele Peri

We aim at predicting a complete and high-resolution depth map from incomplete, sparse and noisy depth measurements. Existing methods handle this problem either by exploiting various regularizations on the depth maps directly or resorting to…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Liyuan Pan , Yuchao Dai , Miaomiao Liu , Fatih Porikli

Matrix recovery from sparse observations is an extensively studied topic emerging in various applications, such as recommendation system and signal processing, which includes the matrix completion and compressed sensing models as special…

Methodology · Statistics 2026-04-13 Ziyuan Chen , Ying Yang , Fang Yao

Ray tracing is increasingly utilized in wireless system simulations to estimate channel paths. In large-scale simulations with complex environments, ray tracing at high resolution can be computationally demanding. To reduce the computation,…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Ruibin Chen , Jayadev Joy , Yaqi Hu , Mingsheng Yin , Marco Mezzavilla , Sundeep Rangan

Radio maps provide radio frequency metrics, such as the received signal strength, at every location of a geographic area. These maps, which are estimated using a set of measurements collected at multiple positions, find a wide range of…

Information Theory · Computer Science 2024-03-26 Daniel Romero , Tien Ngoc Ha , Raju Shrestha , Massimo Franceschetti

We study the problem of noisy sparse array interpolation, where a large virtual array is synthetically generated by interpolating missing sensors using matrix completion techniques that promote low rank. The current understanding is quite…

Signal Processing · Electrical Eng. & Systems 2024-01-15 Robin Rajamäki , Mehmet Can Hücümenoğlu , Pulak Sarangi , Piya Pal

Matrix completion (MC) is a promising technique which is able to recover an intact matrix with low-rank property from sub-sampled/incomplete data. Its application varies from computer vision, signal processing to wireless network, and…

Signal Processing · Electrical Eng. & Systems 2019-05-08 Xiao Peng Li , Lei Huang , Hing Cheung So , Bo Zhao

Radio maps characterize quantities of interest in radio communication environments, such as the received signal strength and channel attenuation, at every point of a geographical region. Radio map estimation typically entails interpolative…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Daniel Romero , Seung-Jun Kim

In this paper, we propose a new trigonometric interpolation algorithm and establish relevant convergent properties. The method adjusts an existing trigonometric interpolation algorithm such that it can better leverage Fast Fourier Transform…

Numerical Analysis · Mathematics 2025-05-06 Xiaorong Zou

Despite the remarkable progress facilitated by learning-based stereo-matching algorithms, disparity estimation in low-texture, occluded, and bordered regions still remains a bottleneck that limits the performance. To tackle these…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Zihua Liu , Songyan Zhang , Zhicheng Wang , Masatoshi Okutomi

With appropriately chosen sampling probabilities, sampling-based random projection can be used to implement large-scale statistical methods, substantially reducing computational cost while maintaining low statistical error. However,…

Machine Learning · Statistics 2026-01-13 Yifan Chen , Yun Yang

Providing rich and useful information regarding spectrum activities and propagation channels, radiomaps characterize the detailed distribution of power spectral density (PSD) and are important tools for network planning in modern wireless…

Signal Processing · Electrical Eng. & Systems 2023-05-26 Songyang Zhang , Tianhang Yu , Brian Choi , Feng Ouyang , Zhi Ding

In mesh-based numerical simulations, the interpolation of mesh-defined functions across different meshes is a critical task, and achieving high-precision interpolation is of great significance for improving the computational efficiency and…

Numerical Analysis · Mathematics 2026-04-15 Jiaxiong Hao , Yunqing Huang , Nianyu Yi

A number of applications require the computation of the trace of a matrix that is implicitly available through a function. A common example of a function is the inverse of a large, sparse matrix, which is the focus of this paper. When the…

Numerical Analysis · Computer Science 2016-09-07 Lingfei Wu , Jesse Laeuchli , Vassilis Kalantzis , Andreas Stathopoulos , Efstratios Gallopoulos

This paper introduces an interpolation-based method, called the reconstruction approach, for nonparametric regression. Based on the fact that interpolation usually has negligible errors compared to statistical estimation, the reconstruction…

Machine Learning · Statistics 2019-11-28 Shifeng Xiong

Image inpainting is the art of predicting damaged regions of an image. The manual way of image inpainting is a time consuming. Therefore, there must be an automatic digital method for image inpainting that recovers the image from the…

Computer Vision and Pattern Recognition · Computer Science 2013-06-04 Firas A. Jassim

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

Limited measurement availability at the distribution grid presents challenges for state estimation and situational awareness. This paper combines the advantages of two sparsity-based state estimation approaches (matrix completion and…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Shweta Dahale , Balasubramaniam Natarajan