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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deformation rigidity of Fano manifolds
法诺歧管 变形刚度 光滑射影品种X
2023/4/17
A smooth projective variety X is called rigid if any deformation of X is isomorphic to itself. A first example is the projective space, but in general it is a subtle and difficult problem to prove the...
We study the problem of estimating a manifold from random samples. In particular, we consider piecewise constant and piecewise linear estimators induced by k-means and k-flats, and analyze their perfo...
On the local extension of Killing vectorfields in Ricci flat manifolds
Killing vectorfields Ricci flat manifolds
2014/4/3
In this paper, written in collaboration with A. Ionescu, we revisit the extension problem for Killing vector-fields in smooth Ricci flat Lorentzian manifolds and its relevance to the black hole rigidi...
Aligning Coupled Manifolds for Face Hallucination
Aligning Coupled Manifolds Face Hallucination
2010/12/21
Many learning-based super-resolution methods are based on the manifold assumption, which claims that point-pairs from the low-resolution representation manifold (LRM) and the
corresponding high-resol...
On the Global Stabilization of Nonlinear Systems via Switching Manifolds
Global Stabilization Nonlinear Systems Switching Manifolds
2009/7/27
The global stabilization of nonlinear systems is investigated by using switching surfaces. The nonlinear system is forced to a lower order switching manifold, which is designed to be stable by constru...