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20162022
most citedMinimization of Stochastic First-order Oracle Complexity of Adaptive Methods for Nonconvex Optimization

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

cs.LG2022

Critical Bach Size Minimizes Stochastic First-Order Oracle Complexity of Deep Learning Optimizer using Hyperparameters Close to One

Hideaki Iiduka

Practical results have shown that deep learning optimizers using small constant learning rates, hyperparameters close to one, and large batch sizes can find the model parameters of…

math.OC2022

Global Convergence of Hager-Zhang type Riemannian Conjugate Gradient Method

Hiroyuki Sakai, Hiroyuki Sato, Hideaki Iiduka

This paper presents the Hager-Zhang (HZ)-type Riemannian conjugate gradient method that uses the exponential retraction. We also present global convergence analyses of our proposed…

cs.LG2022

Theoretical analysis of Adam using hyperparameters close to one without Lipschitz smoothness

Hideaki Iiduka

Convergence and convergence rate analyses of adaptive methods, such as Adaptive Moment Estimation (Adam) and its variants, have been widely studied for nonconvex optimization. The…

cs.LG20211 cited

Minimization of Stochastic First-order Oracle Complexity of Adaptive Methods for Nonconvex Optimization

Hideaki Iiduka

Numerical evaluations have definitively shown that, for deep learning optimizers such as stochastic gradient descent, momentum, and adaptive methods, the number of steps needed to…

math.OC2016

Fixed Point Algorithm for Solving Nonmonotone Variational Inequalities in Nonnegative Matrix Factorization

Hideaki Iiduka, Shizuka Nishino

Nonnegative matrix factorization (NMF), which is the approximation of a data matrix as the product of two nonnegative matrices, is a key issue in machine learning and data analysis…