Raghavendra Venkatraman

collaborators

3 papers

math.AP2026

Analytic spectral perturbation theory for a high-contrast Maxwell operator

Robert V. Kohn, Raghavendra Venkatraman

We study analytic spectral perturbation theory for the time-harmonic Maxwell operator in a perfectly electrically conducting cavity containing a high-contrast core--shell structure…

math.PR2025

Convergence of Empirical Measures for i.i.d. samples in $W^{- α, p}$

Gautam Iyer, Raghavendra Venkatraman

Given $N$ i.i.d. samples from a probability measure $μ$ on $R^{d}$ , we study the rate of convergence of the empirical measure $μ_{N} \to μ$ in the negative Sobolev space $W^{-…

stat.ML2025

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Nicolás García Trillos, Chenghui Li, Raghavendra Venkatraman

We study the problem of estimating eigenpairs of elliptic differential operators from samples of a distribution $ρ$ supported on a manifold $M$ . The operators discussed in the pape…

Analytic spectral perturbation theory for a high-contrast Maxwell operator

Convergence of Empirical Measures for i.i.d. samples in W−α,p

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Convergence of Empirical Measures for i.i.d. samples in $W^{- α, p}$