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math.PR2025
Optimality of empirical measures as quantizers
March T. Boedihardjo
A common way to discretize a probability measure is to use an empirical measure as a discrete approximation. But how far from being optimal is this approximation in the p-Wasserste…
cs.DS2025
On Extended Concentration Inequalities for Fast JL Embeddings of Infinite Sets
Edem Boahen, March T. Boedihardjo, Rafael Chiclana +1
The Johnson-Lindenstrauss (JL) lemma allows subsets of a high-dimensional space to be embedded into a lower-dimensional space while approximately preserving all pairwise Euclidean…
math.PR2025
Injective norm of random tensors with independent entries
March T. Boedihardjo
We obtain a non-asymptotic bound for the expected injective norm of a random tensor with independent entries. This bound is similar to the bound by Bandeira and van Handel (2016) f…