FedDG: Federated Domain Generalization on Medical Image Segmentation via Episodic Learning in Continuous Frequency Space [PDF]
Federated learning allows distributed medical institutions to collaboratively learn a shared prediction model with privacy protection. While at clinical deployment, the models trained in federated learning can still suffer from performance drop when ...
Quande Liu+4 more
semanticscholar +1 more source
In this paper, we studied the Hölder regularities of solutions to an abstract fractional differential equation, which is regarded as an abstract version of fractional Rayleigh–Stokes problems, rising up to describing a non-Newtonian fluid with a Riemann ...
Jiawei He, Guangmeng Wu
doaj +1 more source
NeuroMorph: Unsupervised Shape Interpolation and Correspondence in One Go [PDF]
We present NeuroMorph, a new neural network architecture that takes as input two 3D shapes and produces in one go, i.e. in a single feed forward pass, a smooth interpolation and point-to-point correspondences between them. The interpolation, expressed as
Marvin Eisenberger+6 more
semanticscholar +1 more source
Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M.+2 more
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A generalized spatial autoregressive neural network method for three-dimensional spatial interpolation [PDF]
Spatial interpolation, a fundamental spatial analysis method, predicts unsampled spatial data from the values of sampled points. Generally, the core of spatial interpolation is fitting spatial weights via spatial correlation.
J. Zhan+11 more
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Interpolation of Gentle Spaces [PDF]
The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients. It is based mainly on the separability, the existence of bases, the homogeneity, and theγ-stability. We prove that real and complex interpolation spaces between two gentle spaces are also gentle.
Ben Slimane, Mourad, Ben Braiek, Hnia
openaire +4 more sources
Error-constant estimation under the maximum norm for linear Lagrange interpolation
For the linear Lagrange interpolation over a triangular domain, we propose an efficient algorithm to rigorously evaluate the interpolation error constant under the maximum norm by using the finite-element method (FEM). In solving the optimization problem
Shirley Mae Galindo+2 more
doaj +1 more source
Tent Space Approach of Morrey Spaces and Their Application to Duality and Complex Interpolation
The aim in this paper is to establish a new duality property of Morrey spaces and to discover the complex interpolation space between Morrey spaces and Lebesgue spaces.
Takahiro Ono
doaj +1 more source
Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric
In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods.
K.A. Bekmaganbetov+2 more
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The extremal function of interpolation formulas in W2(2,0) space
One of the main problems of computational mathematics is the optimization of computational methods in functional spaces. Optimization of computational methods are well demonstrated in the problems of the theory of interpolation formulas.
Boltaev, A.K.+2 more
doaj +1 more source