S. Steinerberger

activity

20122026

most citedEfficient Algorithms for t-distributed Stochastic Neighborhood Embedding

607 citations · 834 across the 123 of their papers we have counts for

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Showing 2013 · math.CAShow all

3 papers · 2 filters

math.CA2013

Lower bounds for the truncated Hilbert transform

Rima Alaifari, Lillian B. Pierce, Stefan Steinerberger

Given two intervals $I, J \subset R$ , we ask whether it is possible to reconstruct a real-valued function $f \in L^{2} (I)$ from knowing its Hilbert transform $H f$ on $J$ . Wh…

math.CA2013

Sharp L^1 Poincare inequalities correspond to optimal hypersurface cuts

Stefan Steinerberger

Let $Ω \subset R^{n}$ be a convex. If $u : Ω \to R$ has mean 0, then we have the classical Poincaré inequality $$ \|u \|_{L^p} \leq c_p \mbox{diam}(Ω) \| \nabl…

math.CA2013

On the curvature of level sets of harmonic functions

Stefan Steinerberger

If a real harmonic function inside the open unit disk $B (0, 1) \subset R^{2}$ has its level set ${x : u (x) = u (0)}$ diffeomorphic to an interval, then we prove th…