epsilon faithful function

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ε

-faithful

Suppose $y_{1}, \dots, y_{n} \in R^{m}$ . A function $f : R^{m} \to R^{d}$ is called $ε$ -faithful on the $y_{i}$ is for all $i, j \in [n]$ we have

(1-\varepsilon)\lvert \lvert y_{i} -y_{j} \rvert \rvert {#2} \leq \lvert \lvert f(y_{i}) - f(y_{j}) \rvert \rvert {#2} \leq (1+\varepsilon) \lvert \lvert y_{i} - y_{j} \rvert \rvert {#2}

Note

This is Tim's terminology for Random Matrix Theory and is not standard.

File	Last Modified
Johnson-Lindenstrauss lemma	2025-09-15
Random Matrix Lecture 03	2025-09-15

epsilon faithful function

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