RodrigodLA

I want to answer the following question: given a function f(x) and a value of x, how can I tell that x corresponds to a root?

For some functions, the answer can be found more or less immediately if there is a known formula. We can also contemplate the Newton–Raphson method for finding roots for more complicated functions. The basic point is that the question entails finding the possible roots and then compare with x to establish if it is a root or not.

Instead of using a deterministic approach, the goal is to use a probabilistic method. For simple functions this approach represents a very complicated way to do the job –a long detour– but it has its advantages. It provides a framework for other types questions such as: how can AI tell from a picture that a cat is a cat?

In the following manuscript I develop this idea.