3 citations · 7 across the 9 of their papers we have counts for
4 papers · 1 filter
Restricted Quasiconvexity Isometry Property for Symmetric -Stable Random Matrices
Sunder Ram Krishnan
We formulate a generalization of the Restricted Isometry Property (RIP) referred to as the Restricted Quasiconvexity Isometry Property (RQIP) for alpha stable random projections wi…
Betti Numbers of Gaussian Excursions in the Sparse Regime
Gugan Thoppe, Sunder Ram Krishnan
Random field excursions is an increasingly vital topic within data analysis in medicine, cosmology, materials science, etc. This work is the first detailed study of their Betti num…
The Intrinsic Geometry of Some Random Manifolds
Sunder Ram Krishnan, Jonathan E. Taylor, Robert J. Adler
We study the a.s. convergence of a sequence of random embeddings of a fixed manifold into Euclidean spaces of increasing dimensions. We show that the limit is deterministic. As a c…
Convergence of the Reach for a Sequence of Gaussian-Embedded Manifolds
Robert J. Adler, Sunder Ram Krishnan, Jonathan E. Taylor +1
Motivated by questions of manifold learning, we study a sequence of random manifolds, generated by embedding a fixed, compact manifold into Euclidean spheres of increasing dime…