Suppose we have $K$ points $x_1,\ldots,x_K$ in $\mathbb{R}^d$ and let $$f(x)=\sum_{k=1}^K \exp(-\lambda \Vert x-x_k \rVert^2).$$ Can we uniformly bound $f$ independent of $K$?
It is okay to use some assumption on the distribution of $\{x_k\}$.
2026-03-29 12:32:13.1774787533
Bounding sum of samples of a Gaussian
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