This paper proposes a novel submanifold decomposition (SMD) algorithm, which simultaneously considers multiple submanifolds intertwined in the same high- ...
Jun 5, 2014 · Abstract: Low-dimensional structures embedded in high-dimensional data space can be extracted by spectral analysis and manifold learning.
This paper proposes a novel submanifold decomposition (SMD) algorithm, which simultaneously considers two manifolds intertwined in the same high-dimensional ...
Nov 24, 2022 · Abstract:We present new explicit decompositions of manifolds via so-called fold maps into lower dimensional spaces.
May 10, 2023 · A decomposition of into special submanifolds with tubular neighborhoods is a finite family of special submanifolds with tubular neighborhoods ...
Missing: Submanifold | Show results with:Submanifold
This paper proposes a novel submanifold decomposition (SMD) algorithm, which simultaneously considers multiple submanifolds intertwined in the same high ...
The symbol G is reserved to denote a decomposition of the source n-manifold M" into closed (i.e., compact), connected, (n - 1)-manifolds. Usually we presume G ...
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In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem:.
May 10, 2023 · We propose a notion of special submanifolds with tubular neighborhoods and show that any definable set is decomposed into finitely many special ...
Missing: Submanifold | Show results with:Submanifold
All simply connected Ntn are known to possess this property. This paper demonstrates that projective n-spaces Pn (n > 1) and all closed surfaces N2 with nonzero ...