FROM 1 TO A USEFUL INFINITE FRACTION
Hello! In this blog post, I will try to explain about a class of infinite fractions(which I call the Cha Fractions, but I don't know the technical term). Before answering the question, "What are they?" , I have to answer the question, "Why are they important in the first place?" The thing that makes the Cha Fractions special is their really nice property of going closer and closer to 1 as the input goes closer and closer to infinity. This means that the output stabilizes at 1, i.e., it neither grows nor decays once the output reaches 1. Let me show what this looks like in a graph: Graph of the Cha Fraction Now compare it with this: A typical curve used for logistic regression The curves are similar in the sense that they stabilize once they reach a particular output. The output will never be more than 1 for any input( It doesn't necessarily have to be 1, you could just scale it up or down to whatever number you wish). This stabilizing property is the de...