Probabilistic numerics

Alright, kiddo! Do you like counting your candy or toys? Yes? Well, probabilities are a bit like that, but instead of counting things, we are trying to figure out the likelihood or chance of something happening.

So, let's say you have a jar full of red and blue candies, but you don't know how many of each color. You can't count them all, but you can randomly pick a candy and see what color it is. By doing this multiple times, you can get an idea of how many red and blue candies are in the jar.

This is where probabilistic numerics comes in. It's like using statistics and probabilities to figure out an answer instead of traditional math methods. In the candy jar example, we can use probabilistic numerics to predict the ratio of red to blue candies without counting all of them.

In more complex problems, we might not be able to count or measure everything, but we can use probabilities to make predictions. For example, scientists might use probabilistic numerics to make predictions about how the weather will change in the future based on data from the past.

So, probabilistic numerics is like using probabilities and statistics to solve problems when we don't have all the information we need to solve them otherwise. Pretty cool, right?