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Momentum optimizers

Momentum optimizers are techniques used in gradient descent algorithms to improve convergence speed and stability during the training of machine learning models, particularly deep neural networks. The core idea behind momentum is to accumulate the gradients of past iterations to influence the current update, which helps to smooth out the updates and reduce oscillations.

In a standard gradient descent, the update is solely based on the current gradient. However, with momentum, the update incorporates a fraction of the previous update, weighted by a momentum hyperparameter. This allows the optimizer to maintain a direction of movement, effectively accelerating updates in the relevant direction while dampening changes in directions with high curvature 4.

Nesterov momentum is an advanced variant that calculates the gradient at a point slightly ahead in the direction of the momentum, providing a more informed update 1. This technique is particularly beneficial in scenarios where the objective function has a lot of curvature or noisy gradients, as it can lead to faster convergence 45.

Optimizers — Momentum and Nesterov momentum algorithms (Part 2)

 Analytics Vidhya

Welcome to the second part on optimisers where we will be discussing momentum and Nesterov accelerated gradient. If you want a quick review of vanilla gradient descent algorithms and its variants…

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Momentum, Adam’s optimizer and more

 Becoming Human: Artificial Intelligence Magazine

If you’ve checked the jupyter notebook related to my article on learning rates, you’d know that it had an update function which was basically calculating the outputs, calculating the loss and…

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Momentum: A simple, yet efficient optimizing technique

 Analytics Vidhya

What are gradient descent, moving average and how can they be applied to optimize Neural Networks? How is Momentum better than gradient Descent?

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Gradient Descent With Momentum from Scratch

 MachineLearningMastery.com

Last Updated on October 12, 2021 Gradient descent is an optimization algorithm that follows the negative gradient of an objective function in order to locate the minimum of the function. A problem wit...

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Gradient Descent With Momentum

 Towards Data Science

The problem with gradient descent is that the weight update at a moment (t) is governed by the learning rate and gradient at that moment only. It doesn’t take into account the past steps taken while…

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Learning Parameters, Part 2: Momentum-Based And Nesterov Accelerated Gradient Descent

 Towards Data Science

In this post, we look at how the gentle-surface limitation of Gradient Descent can be overcome using the concept of momentum to some extent. Make sure you check out my blog post — Learning…

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Gradient Descent With Nesterov Momentum From Scratch

 MachineLearningMastery.com

Last Updated on October 12, 2021 Gradient descent is an optimization algorithm that follows the negative gradient of an objective function in order to locate the minimum of the function. A limitation ...

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Stochastic Gradient Descent with momentum

 Towards Data Science

This is part 2 of my series on optimization algorithms used for training neural networks and machine learning models. Part 1 was about Stochastic gradient descent. In this post I presume basic…

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All About Stochastic Gradient Descent Extension- Nesterov momentum, the simple way!

 Towards Data Science

Advance optimization techniques in Data Science with its simplified maths

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A Bit Beyond Gradient Descent: Mini-Batch, Momentum, and Some Dude Named Yuri Nesterov

 Towards Data Science

Last time, I discussed how gradient descent works on a linear regression model by coding it up in ten lines of python code. This was done in order to demonstrate the principles of gradient descent…

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Optimizers Explained - Adam, Momentum and Stochastic Gradient Descent

 Machine Learning From Scratch

Picking the right optimizer with the right parameters, can help you squeeze the last bit of accuracy out of your neural network model.

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Momentum ,RMSprop And Adam Optimizer

 Analytics Vidhya

Optimizer is a technique that we use to minimize the loss or increase the accuracy. We do that by finding the local minima of the cost function. When our cost function is convex in nature having only…...

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