dirksen-2016-subgaussian-jl-generalization
IN premise — summaries/2026/08/24/wiki-JohnsonE28093Lindenstrauss_lemma-chunk-2.md
Created 2026-08-24T17:11:13+00:00
Dirksen (2016) generalized the sparse JL result to any independent, mean-zero, unit-variance, subgaussian entry distribution, not just the specific Radamacher or 3-point constructions.
Summary
Dirksen showed that the fast, sparse dimensionality-reduction guarantee doesn't depend on using one particular random-number recipe; it works for a very broad family of random matrices as long as their entries are independent, centered, normalized, and not too heavy-tailed. In practice, this means the system can use many more standard random constructions without losing the theoretical guarantee, making the result far more flexible to apply.