De Huang

activity

20182023

most citedStreaming k-PCA: Efficient guarantees for Oja's algorithm, beyond rank-one updates

3 citations · 4 across the 4 of their papers we have counts for

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math.FA2019

Generality of Lieb's Concavity Theorem

De Huang

We show that Lieb's concavity theorem holds more generally for any unitarily invariant matrix function $ϕ : H_{+}^{n} \to R$ that is monotone and concave. Concre…

math.FA2019★ 1 cited

Improvement on a Generalized Lieb's Concavity Theorem

De Huang

We show that Lieb's concavity theorem holds more generally for any unitary invariant matrix function $ϕ : H_{+}^{n} \to R_{+}^{n}$ that is concave and satisfies Höld…

math.FA2019

Generalizing Lieb's Concavity Theorem via Operator Interpolation

De Huang

We introduce the notion of $k$ -trace and use interpolation of operators to prove the joint concavity of the function $(A,B)\mapsto\text{Tr}_k\big[(B^\frac{qs}{2}K^*A^{ps}KB^\frac{q…