4 papers
Cartan meets Cramér-Rao
Sunder Ram Krishnan
A Cartan-geometric, jet bundle formulation of curvature-aware variance bounds in parametric statistical estimation is developed. Building on our earlier extrinsic Hilbert space app…
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…
Coherent Source Enumeration with Compact ULAs
Dibakar Sil, Sunder Ram Krishnan, Kumar Vijay Mishra
Source enumeration typically relies on subspace-based techniques that require accurate separation of signal and noise subspaces. However, prior works do not address coherent source…
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…