Raghavendra Venkatraman

activity

20232026

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2 papers · 1 filter

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…

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 $W^{- α, p}$