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Is feature scaling necessary for gradient descent?

Posted on January 5, 2021 by Author

Table of Contents

  • 1 Is feature scaling necessary for gradient descent?
  • 2 Should we rescale features before gradient descent?
  • 3 Is feature scaling necessary for regression?
  • 4 Is feature scaling necessary?
  • 5 Why is feature scaling important?
  • 6 Why is scaling not necessary in linear regression?
  • 7 Is scaling required for classification?
  • 8 How can we speed up gradient descent?
  • 9 How do you plot cost versus time for gradient descent?
  • 10 What are the challenges of gradient descent in machine learning?

Is feature scaling necessary for gradient descent?

Feature scaling is a method to unify self-variables or feature ranges in data. Because in the original data, the range of variables is very different. Feature scaling is a necessary step in the calculation of stochastic gradient descent.

Should we rescale features before gradient descent?

To ensure that the gradient descent moves smoothly towards the minima and that the steps for gradient descent are updated at the same rate for all the features, we scale the data before feeding it to the model. Having features on a similar scale will help the gradient descent converge more quickly towards the minima.

What is the relationship between feature scaling and gradient descent?

Question 5

True or False Statement Explanation
True It speeds up gradient descent by making it require fewer iterations to get to a good solution. Feature scaling speeds up gradient descent by avoiding many extra iterations that are required when one or more features take on much larger values than the rest.
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Is feature scaling necessary for regression?

Summary. We need to perform Feature Scaling when we are dealing with Gradient Descent Based algorithms (Linear and Logistic Regression, Neural Network) and Distance-based algorithms (KNN, K-means, SVM) as these are very sensitive to the range of the data points.

Is feature scaling necessary?

Feature scaling is essential for machine learning algorithms that calculate distances between data. Since the range of values of raw data varies widely, in some machine learning algorithms, objective functions do not work correctly without normalization.

Does decision trees require feature scaling?

Decision trees and ensemble methods do not require feature scaling to be performed as they are not sensitive to the the variance in the data.

Why is feature scaling important?

Feature scaling is essential for machine learning algorithms that calculate distances between data. Therefore, the range of all features should be normalized so that each feature contributes approximately proportionately to the final distance.

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Why is scaling not necessary in linear regression?

For example, to find the best parameter values of a linear regression model, there is a closed-form solution, called the Normal Equation. If your implementation makes use of that equation, there is no stepwise optimization process, so feature scaling is not necessary.

Why is scaling important?

Larger differences between the data points of input variables increase the uncertainty in the results of the model. Scaling the target value is a good idea in regression modelling; scaling of the data makes it easy for a model to learn and understand the problem.

Is scaling required for classification?

Now your classification result will be influenced by the measurements the height was reported in. If the height is measured in nanometers then it’s likely that any k nearest neighbors will merely have similar measures of height. You have to scale.

How can we speed up gradient descent?

We can speed up gradient descent by scaling. This is because θ will descend quickly on small ranges and slowly on large ranges, and so will oscillate inefficiently down to the optimum when the variables are very uneven. Tree based models are not distance based models and can handle varying ranges of features.

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What is the difference between gradient descent and Newton’s method?

The three plots show a comparison of Newton’s Method and Gradient Descent. Gradient Descent always converges after over 100 iterations from all initial starting points. If it converges (Figure 1), Newton’s Method is much faster (convergence after 8 iterations) but it can diverge (Figure 2).

How do you plot cost versus time for gradient descent?

Plot Cost versus Time: Collect and plot the cost values calculated by the algorithm each iteration. The expectation for a well performing gradient descent run is a decrease in cost each iteration. If it does not decrease, try reducing your learning rate. Learning Rate: The learning rate value is a small real value such as 0.1, 0.001 or 0.0001.

What are the challenges of gradient descent in machine learning?

Below are some challenges regarding gradient descent algorithm in general as well as its variants — mainly batch and mini-batch: Gradient descent is a first-order optimization algorithm, which means it doesn’t take into account the second derivatives of the cost function.

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