Provable adaptivity in adam

B Wang, Y Zhang, H Zhang, Q Meng, ZM Ma… - arXiv preprint arXiv …, 2022 - arxiv.org
… the convergence for Adam with practical hyperparameters. Specifically, we argue that Adam
can adapt to the local smoothness condition, justifying the adaptivity of Adam. In contrast, …

Provable Benefit of Adaptivity in Adam

B Wang, Y Zhang, H Zhang, Q Meng, R Sun, ZM Ma… - openreview.net
Adam (RR Adam), which is the major version of Adam adopted in deep learning. We present
the first convergence analysis of RR AdamAdam, we believe it is important to study Adam

Convergence of adam under relaxed assumptions

H Li, A Rakhlin, A Jadbabaie - Advances in Neural …, 2023 - proceedings.neurips.cc
… the Adaptive Moment Estimate (Adam) algorithm for a wide class of optimization objectives.
Despite the popularity and efficiency of the Adam … In this paper, we show that Adam provably

MicroAdam: Accurate Adaptive Optimization with Low Space Overhead and Provable Convergence

IV Modoranu, M Safaryan, G Malinovsky… - arXiv preprint arXiv …, 2024 - arxiv.org
… In this setup, we compare MICROADAM with Adam and Adam-8bit in terms of evaluation
accuracy and memory usage. In Table 2 we show our results for 3 training epochs, global batch …

Adam can converge without any modification on update rules

Y Zhang, C Chen, N Shi, R Sun… - Advances in neural …, 2022 - proceedings.neurips.cc
… Can Adam provably converge without any modification on its update rules? … of adaptive
gradient methods because √ v no longer dominates in the choice of stepsize. In this case, Adam

Proximal adam: robust adaptive update scheme for constrained optimization

P Melchior, R Joseph, F Moolekamp - arXiv preprint arXiv:1910.10094, 2019 - arxiv.org
We implement the adaptive step size scheme from the optimization methods AdaGrad and
Adam in a novel variant of the Proximal Gradient Method (PGM). Our algorithm, dubbed …

On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Y Hong, J Lin - arXiv preprint arXiv:2402.03982, 2024 - arxiv.org
… Generally speaking, Adam absorbs some key ideas from previous adaptive methods [13,
43] while adding more unique structures. It combines the exponential moving average …

Adam: A Stochastic Method with Adaptive Variance Reduction

M Liu, W Zhang, F Orabona, T Yang - arXiv preprint arXiv:2011.11985, 2020 - arxiv.org
… Variants of Adam have been proposed with provable convergence guarantee, but they …
adaptive convergence. We also propose a more general variant of Adam+ with different adaptive

Smoothness and Adaptivity in Nonlinear Optimization for Machine Learning Applications

H Li - 2024 - dspace.mit.edu
… In this thesis, we show that Adam provably converges to … can not explain why adaptive
methods like Adam significantly … gence rate we have obtained for Adam is not faster than that of …

Convergence Guarantees for RMSProp and Adam in Generalized-smooth Non-convex Optimization with Affine Noise Variance

Q Zhang, Y Zhou, S Zou - arXiv preprint arXiv:2404.01436, 2024 - arxiv.org
… , we study two adaptive optimizers: RMSProp and Adam with … the original Adam, we make
a minor change in the adaptive … This minor change does not influence the adaptivity of the …