My research primarily focused on the Ricci flow and its solitons prior to 2019. Since then, I have shifted my attention to geometric and analytic problems in manifold learning.
Recently, I have been studying the convergence of the Hessian estimator on data manifolds with Hau-Tieng Wu, and we could justify the convergence even for the boundary regions. We also analyze the continuous counterpart of the HLLE algorithm and offer insights for further investigation..
On the other hand, together with my colleagues, we have made some discoveries regarding spherical MDS, suggesting that MDS may be related to certain classical minimal embeddings of RP^2.
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E-mail: BabbageTW at gmail.com