W. Sawin

activity

20112026

most citedCertifying the restricted isometry property is hard

166 citations · 562 across the 54 of their papers we have counts for

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math.NT2026

Counting matrices with given characteristic polynomial

Tim Browning, Fabian Gundlach, Will Sawin

Let $f$ be a monic polynomial of degree $n$ with integer coefficients. We use Fourier analysis to prove a new upper bound on the number of $n \times n$ matrices with characteristic…

cs.LG2026

Muon $^{p}$ : Muon with Fractional Spectral Powers

Yihe Dong, Will Sawin

Muon is an increasingly widely used optimizer that replaces a gradient $G = U S V^{⊤}$ with its polar factor $U V^{⊤}$ , thereby flattening the singular spectrum. However, full flatten…

Counting matrices with given characteristic polynomial

Muonp: Muon with Fractional Spectral Powers

Muon $^{p}$ : Muon with Fractional Spectral Powers