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Preprint Sep 2026

The Nelson-Nguyen Conjecture via Mean-to-Moments Concentration

An oblivious subspace embedding (OSE) is a distribution over matrices that approximately preserves the squared Euclidean norm of every vector in any fixed low-dimensional subspace. We prove the Nelson-Nguyen conjecture: for every $0<\delta<1$, there exists a distribution that gives an OSE with embedding dimension $O((d...

Tung Mai, Anup B. Rao · 0 citations
#machine learning Preprint Sep 2026

Constant Swap Regret in General-Sum Games via Two-Scale Higher-Order Optimism

We give deterministic and uncoupled learning dynamics for finite multiplayer general-sum games under full-information feedback that achieve constant individual swap regret in self-play, independent of the horizon $T$. With $n$ players and at most $m$ actions each, every player's individual swap regret is $O(\sqrt n\,m\...

Tung Mai · 0 citations

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