Is it beneficial to perform dimensionality reduction before fitting an SVM? Why or why not?
When the number of features is greater than the number of observations, then performing dimensionality reduction will generally improve the SVM.
When the number of features is greater than the number of observations, then performing dimensionality reduction will generally improve the SVM.
There are a couple of metrics that you can use: R-squared/Adjusted R-squared: Relative measure of fit. This was explained in a previous answer F1 Score: Evaluates the null hypothesis that all regression coefficients are equal to zero vs the alternative hypothesis that at least one doesn’t equal zero RMSE: Absolute measure of fit.
Multicollinearity exists when an independent variable is highly correlated with another independent variable in a multiple regression equation. This can be problematic because it undermines the statistical significance of an independent variable. You could use the Variance Inflation Factors (VIF) to determine if there is any multicollinearity between independent variables — a standard benchmark is …
What is collinearity and what to do with it? How to remove multicollinearity? Read More »
The assumptions are as follows: The sample data used to fit the model is representative of the population The relationship between X and the mean of Y is linear The variance of the residual is the same for any value of X (homoscedasticity) Observations are independent of each other For any value of X, Y …
Mean Squared Error (MSE) gives a relatively high weight to large errors — therefore, MSE tends to put too much emphasis on large deviations. A more robust alternative is MAE (mean absolute deviation).
Another way of asking this question is “Is a random forest a better model than a decision tree?” And the answer is yes because a random forest is an ensemble method that takes many weak decision trees to make a strong learner. Random forests are more accurate, more robust, and less prone to overfitting.
There are a couple of drawbacks of a linear model: A linear model holds some strong assumptions that may not be true in application. It assumes a linear relationship, multivariate normality, no or little multicollinearity, no auto-correlation, and homoscedasticity A linear model can’t be used for discrete or binary outcomes. You can’t vary the model …
One major drawback of Naive Bayes is that it holds a strong assumption in that the features are assumed to be uncorrelated with one another, which typically is never the case. One way to improve such an algorithm that uses Naive Bayes is by decorrelating the features so that the assumption holds true.
In its simplest sense, PCA involves project higher dimensional data (eg. 3 dimensions) to a smaller space (eg. 2 dimensions). This results in a lower dimension of data, (2 dimensions instead of 3 dimensions) while keeping all original variables in the model. PCA is commonly used for compression purposes, to reduce required memory and to …
There are a couple of reasons why a random forest is a better choice of model than a support vector machine: Random forests allow you to determine the feature importance. SVM’s can’t do this. Random forests are much quicker and simpler to build than an SVM. For multi-class classification problems, SVMs require a one-vs-rest method, …
When would you use random forests Vs SVM and why? Read More »