3 citations · 4 across the 4 of their papers we have counts for
9 papers
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations
Jiajie Chen, Thomas Y. Hou, De Huang
Inspired by the numerical evidence of a potential 3D Euler singularity \cite{luo2014potentially,luo2013potentially-2}, we prove finite time singularity from smooth initial data for…
Streaming k-PCA: Efficient guarantees for Oja's algorithm, beyond rank-one updates
De Huang, Jonathan Niles-Weed, Rachel Ward
We analyze Oja's algorithm for streaming -PCA and prove that it achieves performance nearly matching that of an optimal offline algorithm. Given access to a sequence of i.i.d. $…
Nonlinear Matrix Concentration via Semigroup Methods
De Huang, Joel A. Tropp
Matrix concentration inequalities provide information about the probability that a random matrix is close to its expectation with respect to the operator norm. This paper use…
From Poincaré Inequalities to Nonlinear Matrix Concentration
De Huang, Joel A. Tropp
This paper deduces exponential matrix concentration from a Poincaré inequality via a short, conceptual argument. Among other examples, this theory applies to matrix-valued function…
Matrix Concentration for Products
De Huang, Jonathan Niles-Weed, Joel A. Tropp +1
This paper develops nonasymptotic growth and concentration bounds for a product of independent random matrices. These results sharpen and generalize recent work of Henriksen-Ward,…
Generality of Lieb's Concavity Theorem
De Huang
We show that Lieb's concavity theorem holds more generally for any unitarily invariant matrix function that is monotone and concave. Concre…