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Degrees of Freedom and Curse of Dimensionality | Data Science Interview Questions | Machine Learning

🟠 Full Video - https://www.youtube.com/watch?v=q5Z34bxtUig&list=PLxqBkZuBynVS3RtJITF-DOxqfwT97PW_x&index=145&ab_channel=Rohan-Paul-AI
The Relationship between the Curse of Dimensionality and Degrees of Freedom

Degrees of Freedom (DoF) refers to the number of independent parameters or variables in a model or system. It represents the flexibility of the model to adapt to the data. In the context of statistical modeling, DoF is often used to assess the complexity of a model, with more complex models having higher DoF.

The dimension of a mathematical object is the number of independent variables needed to fully describe it. A point has 0 dimensions. A line has 1 dimension, a square has 2 dimensions and a cube has 3 dimensions. On a line we need one variable, let’s say the distance from a starting point in order to pinpoint our position. On a square, we need at least 2 pieces of information (x and y). In a cube, we need 3 coordinates (x,y,z)

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