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Praneeth Vepakomma

Mathematical and Applied Statistics, Rutgers University


Aug
21
accepted Why is this regret a good choice for a multi-armed bandit?
Aug
20
comment Root Convergence Rate of EM or MM Iteration
Did a search and found scicomp.stackexchange.com to be a good avenue apart from the math SE.
Aug
20
asked Root Convergence Rate of EM or MM Iteration
Aug
20
accepted Laplacian-Beltrami approximation based on an empirical sample
Aug
20
answered p-value as a distance?
Aug
20
revised Similarity of two discrete fourier tranforms?
added 9 characters in body
Aug
20
revised Similarity of two discrete fourier tranforms?
added 345 characters in body
Aug
20
revised Similarity of two discrete fourier tranforms?
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Aug
20
answered Similarity of two discrete fourier tranforms?
Aug
19
comment Laplacian-Beltrami approximation based on an empirical sample
I am interested in the asymptotic convergence of $L_{n}^{t}f(x)$ to the continuous version of the operator as the sample size tends to infinity. Also, am interested in quantifying the accuracy of this approximation. Am not sure if the variance or standard error of a monte-carlo estimate of the integrals in the continuous operator would answer this question. What are your thoughts? To be more specific, a bound that quantifies the error, and also depends on $n$ would be the most useful for me.
Aug
19
revised Laplacian-Beltrami approximation based on an empirical sample
manifold terminology replaced
Aug
19
comment Laplacian-Beltrami approximation based on an empirical sample
The inner-product is the vector dot product in $\mathbb{R^N}$ and thanks for noting- I have included $t$ in the definition of $L_{n}^{t}$. Yes, that's right $M$ is a measurable subset in $\mathbb{R^N}$ with a finite measure w.r.t $d\nu$. Also, the norm $||.||$ used in $L^tf(x)$ is the euclidean distance and not a geodesic distance, w.r.t any riemannian metric. Hence, true- the reference that generalizes the question to a manifold may be too restrictive.
Aug
19
revised Laplacian-Beltrami approximation based on an empirical sample
4t added
Aug
19
revised Laplacian-Beltrami approximation based on an empirical sample
edited title
Aug
19
revised Laplacian-Beltrami approximation based on an empirical sample
edited title
Aug
19
revised Laplacian-Beltrami approximation based on an empirical sample
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Aug
19
revised Laplacian-Beltrami approximation based on an empirical sample
deleted 18 characters in body
Aug
19
asked Laplacian-Beltrami approximation based on an empirical sample
Aug
17
accepted Expected value and variance of trace function
Aug
16
asked Expected value and variance of trace function