RMSprop — PyTorch 2.4 documentation
For further details regarding the algorithm we refer to lecture notes by G. Hinton. and centered version Generating Sequences With Recurrent Neural Networks. The implementation here takes the square root of the gradient average before adding epsilon (note that TensorFlow interchanges these two operations). The effective learning rate is thus 𝛾 / ( 𝑣 + 𝜖 ) γ/( v +ϵ) where 𝛾 γ is the scheduled learning rate and 𝑣 v is the weighted moving average of the squared gradient. params (iterable) – iterable of parameters to optimize or dicts defining parameter groups lr (float, optional) – learning rate (default: 1e-2) momentum (float, optional) – momentum factor (default: 0) alpha (float, optional) – smoothing constant (default: 0.99) eps (float, optional) – term added to the denominator to improve numerical stability (default: 1e-8) centered (bool, optional) – if True, compute the centered RMSProp, the gradient is normalized by an estimation of its variance weight_decay (float, opti
class torch.optim.RMSprop(params, lr=0.01, alpha=0.99, eps=1e-08, weight_decay=0, momentum=0, centered=False, capturable=False, foreach=None, maximize=False, differentiable=False)[source]# Implements RMSprop algorithm. input:α (alpha), γ (lr), θ0 (params), f(θ) (objective)λ (weight decay), μ (momentum), centered, ϵ (epsilon)initialize:v0←0 (square average), b0←0 (buffer), g0ave←0for t=1 to … dogt←∇θft(θt−1)if λ≠0gt←gt+λθt−1vt←αvt−1+(1−α)gt2vt~←vtif centeredgtave←gt−1aveα+(1−α)gtvt~←vt~−(gtave)2if μ>0bt←μbt−1+gt/(vt~+ϵ)θt←θt−1−γbtelseθt←θt−1−γgt/(vt~+ϵ)return θt\begin{aligned}…
related reading
- RMSpropkeras.io
- Understanding Deep Learning Optimizers: Momentum, AdaGrad, RMSProp & Adam | Towards Data Sciencetowardsdatascience.com
- Adampytorch.org
- Deriving Muonjeremybernste.in
- SGDpytorch.org
- Why Momentum Really Worksdistill.pub
- AdaGrad - Cornell University Computational Optimization Open Textbook - Optimization Wikioptimization.cbe.cornell.edu
- CS231n Deep Learning for Computer Visioncs231n.github.io
- The Unreasonable Effectiveness of Recurrent Neural Networkskarpathy.github.io
- Stochastic gradient descent - Wikipediaen.m.wikipedia.org
- microgptkarpathy.github.io
- Yes you should understand backprop | by Andrej Karpathy | Mediumkarpathy.medium.com