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20172022
most citedProxSARAH: An Efficient Algorithmic Framework for Stochastic Composite Nonconvex Optimization

42 citations · 110 across the 11 of their papers we have counts for

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math.OC2020★ 11 cited

Finite-Time Analysis of Stochastic Gradient Descent under Markov Randomness

Thinh T. Doan, Lam M. Nguyen, Nhan H. Pham +1

Motivated by broad applications in reinforcement learning and machine learning, this paper considers the popular stochastic gradient descent (SGD) when the gradients of the underly…

math.OC2020★ 2 cited

Stochastic Gauss-Newton Algorithms for Nonconvex Compositional Optimization

Quoc Tran-Dinh, Nhan H. Pham, Lam M. Nguyen

We develop two new stochastic Gauss-Newton algorithms for solving a class of non-convex stochastic compositional optimization problems frequently arising in practice. We consider b…

math.OC2020★ 13 cited

Convergence Rates of Accelerated Markov Gradient Descent with Applications in Reinforcement Learning

Thinh T. Doan, Lam M. Nguyen, Nhan H. Pham +1

Motivated by broad applications in machine learning, we study the popular accelerated stochastic gradient descent (ASGD) algorithm for solving (possibly nonconvex) optimization pro…

math.OC2019★ 9 cited

A Hybrid Stochastic Optimization Framework for Stochastic Composite Nonconvex Optimization

Quoc Tran-Dinh, Nhan H. Pham, Dzung T. Phan +1

We introduce a new approach to develop stochastic optimization algorithms for a class of stochastic composite and possibly nonconvex optimization problems. The main idea is to comb…

math.OC2019★ 8 cited

Hybrid Stochastic Gradient Descent Algorithms for Stochastic Nonconvex Optimization

Quoc Tran-Dinh, Nhan H. Pham, Dzung T. Phan +1

We introduce a hybrid stochastic estimator to design stochastic gradient algorithms for solving stochastic optimization problems. Such a hybrid estimator is a convex combination of…

math.OC2019★ 42 cited

ProxSARAH: An Efficient Algorithmic Framework for Stochastic Composite Nonconvex Optimization

Nhan H. Pham, Lam M. Nguyen, Dzung T. Phan +1

We propose a new stochastic first-order algorithmic framework to solve stochastic composite nonconvex optimization problems that covers both finite-sum and expectation settings. Ou…