Surprises in High-Dimensional Ridgeless Least Squares Interpolation [PDF]
Annals of Statistics, 2019 Interpolators-estimators that achieve zero training error-have attracted growing attention in machine learning, mainly because state-of-the art neural networks appear to be models of this type.
T. Hastie +3 more
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Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation [PDF]
Acta Numerica, 2021 In the past decade the mathematical theory of machine learning has lagged far behind the triumphs of deep neural networks on practical challenges. However, the gap between theory and practice is gradually starting to close.
M. Belkin
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Depth-Aware Video Frame Interpolation [PDF]
Computer Vision and Pattern Recognition, 2019 Video frame interpolation aims to synthesize nonexistent frames in-between the original frames. While significant advances have been made from the recent deep convolutional neural networks, the quality of interpolation is often reduced due to large ...
Wenbo Bao +5 more
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Improvements of the Daily Optimum Interpolation Sea Surface Temperature (DOISST) Version 2.1
Journal of Climate, 2020 The NOAA/NESDIS/NCEI Daily Optimum Interpolation Sea Surface Temperature (SST), version 2.0, dataset (DOISST v2.0) is a blend of in situ ship and buoy SSTs with satellite SSTs derived from the Advanced Very High Resolution Radiometer (AVHRR). DOISST v2.0
Boyin Huang +7 more
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Super SloMo: High Quality Estimation of Multiple Intermediate Frames for Video Interpolation [PDF]
2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2017 Given two consecutive frames, video interpolation aims at generating intermediate frame(s) to form both spatially and temporally coherent video sequences.
Huaizu Jiang +5 more
semanticscholar +1 more source
Research in the Interpolation Representations of Stochastic Processes in the Two Types of Interpolation Knots [PDF]
, 2017 The article deals with some interpolation representations of stochastic processes with non-equidistance interpolation knots. Research is based on observations of the process and its derivatives of the first and second orders at some types of knots and ...
Verovkina, G. (Ganna)
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NC Machining of Free- From Blanking Dies Cavities Using Linear Interpolation [PDF]
Engineering and Technology Journal, 2005 This paper presents an analytical study on the path command eneration for linear interpolation of blanking dies cavities defined by free form closed curves. These curves are highly used in mechanical applications like dies, cams, molds, etc.
H J.
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Quasi-interpolations with interpolation property
Journal of Computational and Applied Mathematics, 2004 Let \(\Omega \subset \mathbb R^s\) and \(B(\Omega)\) be the set consisting in all bounded functions over \(\Omega\). Let \(T:B(\Omega) \to B(\Omega)\) be a linear operator and \(X=\{ x_1,\ldots,x_r \}\) a set of points. \(T\) is called a linear operator with interpolation property (A) if \((Tf)(x_j)=f(x_j)\) for any \(f \in B(\Omega)\) and \(j=1,\ldots,
Wang, Ren-Hong, Wang, Jing-Xin
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The Research of Optical Fast OFDM Based on Channel Estimation Algorithm
IEEE Photonics Journal, 2016 A new channel estimation method is proposed based on fast orthogonal frequency-division multiplexing (FOFDM), which can be effectively used in our experiment based on intensity modulation and direct detection.
Li Zhao +4 more
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Decomposition of Gaussian processes, and factorization of positive definite kernels [PDF]
Opuscula Mathematica, 2019 We establish a duality for two factorization questions, one for general positive definite (p.d.) kernels \(K\), and the other for Gaussian processes, say \(V\). The latter notion, for Gaussian processes is stated via Ito-integration.
Palle Jorgensen, Feng Tian
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