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The CS inversion procedure maps the measurements back to the manifold using the previously learned MFA that approximates the manifold with ellipsoids.
In order to quantify our qualitative impression that functional activity in the precentral gyrus tended to mirror that of the postcentral gyrus, we flattened the pericentral cortical area into a 2D manifold using the Isomap algorithm [14, 15; see also 16], a nonlinear dimensionality reduction algorithm.
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Then we build the connections between the points sampled different manifolds using the characterized manifold structure.
We will also study the harmonic analysis on Grassmann manifolds, using the method of integral geometry.
An innovating approach is proposed to solve vectorial conservation laws on curved manifolds using the discontinuous Galerkin method.
In this paper, we suggest and analyze an iterative method for solving the equilibrium problems on Hadamard manifolds using the auxiliary principle technique.
The boundary curves were then constructed by smoothing across the manifold using a further principal curve.
Potassium iodide and sodium sulfite were added to sample aliquots to improve the thiabendazole phosphorescence and injected in the flow manifold using water as carrier.
Specifically, we model the data manifold using a similarity graph with local and geometrical consistency properties.
The analytical procedure employed a multicommuted flow analysis manifold, using solenoid mini-pumps for fluid propulsion.
It relies on finding a minimizing Cerami sequence for variational functional related to (1.1) outside the Nehari manifold by using the diagonal method (see Lemma 2.8).
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