Abstract. Given two simplicial complexes C1 and C2 embedded in Euclidean space IRd , C1 subdivides C2 if (i) C1 and C2 have the same underlying space, and (ii) every simplex in C1 ...
We show how carefully crafted random matrices can achieve distance-preserving dimensionality reduction, accelerate spectral computations, and reduce the sample complexity of certai...
For the past two decades, fractals (e.g., the Hilbert and Peano space-filling curves) have been considered the natural method for providing a locality-preserving mapping. The idea...
We propose a spectral learning approach to shape segmentation. The method is composed of a constrained spectral clustering algorithm that is used to supervise the segmentation of a...