activity
20102020
most citedOn the Convergence Proof of AMSGrad and a New Version

95 citations · 147 across the 5 of their papers we have counts for

collaborators

5 papers

math.OC2020★ 6 cited

Communication-Efficient Distributed SGD with Error-Feedback, Revisited

Tran Thi Phuong, Le Trieu Phong

We show that the convergence proof of a recent algorithm called dist-EF-SGD for distributed stochastic gradient descent with communication efficiency using error-feedback of Zheng…

cs.LG2019★ 95 cited

On the Convergence Proof of AMSGrad and a New Version

Tran Thi Phuong, Le Trieu Phong

The adaptive moment estimation algorithm Adam (Kingma and Ba) is a popular optimizer in the training of deep neural networks. However, Reddi et al. have recently shown that the con…

math.AC2014

Sequentially Cohen-Macaulay Rees algebras

Naoki Taniguchi, Tran Thi Phuong, Nguyen Thi Dung +1

This paper studies the question of when the Rees algebras associated to arbitrary filtration of ideals are sequentially Cohen-Macaulay. Although this problem has been already inves…

math.AC2011★ 3 cited

The Chern Numbers and Euler Characteristics of Modules

Laura Ghezzi, Shiro Goto, Jooyoun Hong +3

The set of the first Hilbert coefficients of parameter ideals relative to a module--its Chern coefficients--over a local Noetherian ring codes for considerable information about it…

math.AC2010★ 43 cited

Cohen--Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

L. Ghezzi, S. Goto, J. Hong +3

The conjecture of Wolmer Vasconcelos on the vanishing of the first Hilbert coefficient is solved affirmatively, where is a parameter ideal in a Noetherian local ring.…