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20172021
most citedProxSARAH: An Efficient Algorithmic Framework for Stochastic Composite Nonconvex Optimization

42 citations · 52 across the 3 of their papers we have counts for

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6 papers · 1 filter

math.OC2020

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

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

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

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.OC20198 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.OC201942 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…