6 citations · 10 across the 5 of their papers we have counts for
5 papers
Simpler flag optimization
Zehua Lai, Lek-Heng Lim, Ke Ye
We study the geometry of flag manifolds under different embeddings into a product of Grassmannians. We show that differential geometric objects and operations -- tangent vector, me…
Haagerup bound for quaternionic Grothendieck inequality
Shmuel Friedland, Zehua Lai, Lek-Heng Lim
We present here several versions of the Grothendieck inequality over the skew field of quaternions: The first one is the standard Grothendieck inequality for rectangular matrices,…
Stochastic Steffensen method
Minda Zhao, Zehua Lai, Lek-Heng Lim
Is it possible for a first-order method, i.e., only first derivatives allowed, to be quadratically convergent? For univariate loss functions, the answer is yes -- the Steffensen me…
Simpler Grassmannian optimization
Zehua Lai, Lek-Heng Lim, Ke Ye
There are two widely used models for the Grassmannian , as the set of equivalence classes of orthogonal matrices $\operatorname{O}(n)/(\operatorname{O}(k) \…
Recht-Ré Noncommutative Arithmetic-Geometric Mean Conjecture is False
Zehua Lai, Lek-Heng Lim
Stochastic optimization algorithms have become indispensable in modern machine learning. An unresolved foundational question in this area is the difference between with-replacement…