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Interpolation of Besov Spaces [PDF]
Transactions of the American Mathematical Society, 1988 We investigate Besov spaces and their connection with dyadic spline approximation in L p ( Ω ) {L_p}(\Omega ) , 0 > p ⩽ ∞ 0 > p \leqslant \infty .
Ronald DeVore, В. А. Попов
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Pseudospline interpolation for space curves [PDF]
Mathematics of Computation, 1976 A method for interpolating a curve through points in space is described. It is the direct analogue of Fowler-Wilson or pseudospline interpolation for plane curves in that local coordinate systems, cubic polynomials of suitable parameters, and mildly nonlinear equations are used to obtain a continuous interpolating curve with continuous tangent and ...
Donald Thomas
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On ψ- interpolation spaces [PDF]
Mathematical Inequalities & Applications, 2009 In this paper the sequence Banach space ψ (Z) is defined for a class of convex functions ψ , and properties of the Kand Jinterpolation spaces (E0,E1)θ ,ψ,K and (E0,E1)θ ,ψ,J for a Banach couple E = (E0,E1) and θ ∈ (0,1) are studied.
L. Nikolova, T. Zachariades
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Entropy function spaces and interpolation [PDF]
Journal of Mathematical Analysis and Applications, 2004 We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of ...
Joan Cerdà +2 more
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Reduced Space Optimal Interpolation of Historical Marine Sea Level Pressure: 1854–1992* [PDF]
, 2000 Near-global 4° × 4° gridded analysis of marine sea level pressure (SLP) from the Comprehensive Ocean–Atmosphere Data Set for monthly averages from 1854 to 1992 was produced along with its estimated error using a reduced space optimal interpolation method.
Alexey Kaplan +2 more
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Temporal Interpolation is all You Need for Dynamic Neural Radiance Fields [PDF]
Computer Vision and Pattern Recognition, 2023 Temporal interpolation often plays a crucial role to learn meaningful representations in dynamic scenes. In this paper, we propose a novel method to train spatiotemporal neural radiance fields of dynamic scenes based on temporal interpolation of feature ...
Sungheon Park +5 more
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MixText: Linguistically-Informed Interpolation of Hidden Space for Semi-Supervised Text Classification [PDF]
Annual Meeting of the Association for Computational Linguistics, 2020 This paper presents MixText, a semi-supervised learning method for text classification, which uses our newly designed data augmentation method called TMix.
Jiaao Chen, Zichao Yang, Diyi Yang
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Interpolation in model spaces [PDF]
Proceedings of the American Mathematical Society, Series B, 2020 In this paper we consider interpolation in model spaces, H 2 ⊖ B H 2 H^2 \ominus B H^2 with B B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as ...
Gorkin, Pamela, Wick, Brett D
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Video Frame Interpolation Transformer [PDF]
Computer Vision and Pattern Recognition, 2021 Existing methods for video interpolation heavily rely on deep convolution neural networks, and thus suffer from their intrinsic limitations, such as content-agnostic kernel weights and restricted receptive field.
Zhihao Shi +4 more
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The positivity of the differential operator generated by hyperbolic system of equations [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established.
Rahat Prenov
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