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math.AP2021
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…
cs.DS2021★ 3 cited
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. $…