Machine Learning — Logistic Regression with Python

Machine Learning — Logistic Regression with Python

Machine Learning — Logistic Regression with Python. A practical introduction to Logistic Regression for classification and predictions in Python

Logistic Regression

Logistic Regression is an algorithm that can be used for regression as well as classification tasks but it is widely used for classification tasks. The response variable that is binary belongs either to one of the classes. It is used to predict categorical variables with the help of dependent variables. Consider there are two classes and a new data point is to be checked which class it would belong to. Then algorithms compute probability values that range from 0 and 1. For example, whether it will rain today or not. In logistic regression weighted sum of input is passed through the sigmoid activation function and the curve which is obtained is called the sigmoid curve.

The Math

Logistic regression uses an equation as the representation, very much like linear regression. Input values (x) are combined linearly using weights or coefficient values (referred to as the Greek capital letter Beta) to predict an output value (y). A key difference from linear regression is that the output value being modeled is a binary value (0 or 1) rather than a numeric value.

Below is an example logistic regression equation:

y = e^(b0 + b1x) / (1 + e^(b0 + b1x))

Where y is the predicted output, b0 is the bias or intercept term and b1 is the coefficient for the single input value (x). Each column in your input data has an associated b coefficient (a constant real value) that must be learned from your training data. The actual representation of the model that you would store in memory or in a file is the coefficients in the equation (the beta value or b’s).

Logistic vs Linear Regression

  • Linear regression is used for predicting the continuous dependent variable using a given set of independent features whereas Logistic Regression is used to predict the categorical.
  • Linear regression is used to solve regression problems whereas logistic regression is used to solve classification problems.
  • In Linear regression, the approach is to find the best fit line to predict the output whereas in the Logistic regression approach is to try for S curved graphs that classify between the two classes that are 0 and 1.
  • The method for accuracy in linear regression is the least square estimation whereas for logistic regression it is maximum likelihood estimation.
  • In Linear regression, the output should be continuous like price & age, whereas in Logistic regression the output must be categorical like either Yes / No or 0/1.
  • There should be a linear relationship between the dependent and independent features in the case of Linear regression whereas it is not in the case of Logistic regression.
  • There can be collinearity between independent features in the case of linear regression but it is not in the case of logistic regression.

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Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.

Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.

Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.