3 problems

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The time coupled diffusion map's geometric-information aggregation conjecture
Let $(\mathcal{M},g(\cdot))$ be the underlying manifold, and let $[0,T]$ be the time interval over which the time coupled diffusion map is constructed from the time-dependent data…
Conjectureopendiffusion-maps heat-kernels manifold-learningarXiv posted 2 days ago
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Extension of local-kernel results to manifolds with boundary
The paper considers a compact manifold $M$ without boundary and develops a construction and associated results for local kernels on $M$ . Extension conjecture. The results could be…
Conjectureopendiffusion-maps local-kernels manifold-boundariesarXiv posted 2 days ago
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Singer–Wu conjecture on symmetric embeddings of orientable double covers
Let $(\mathsf{M},g)$ be a smooth, closed non-orientable manifold. Its orientable double covering is the two-sheeted covering manifold associated with the orientation bundle of…
Conjectureopendifferential-geometry diffusion-maps manifold-embeddingsarXiv posted 2 days ago

The time coupled diffusion map's geometric-information aggregation conjecture