Prompt: Logits and Probits — From Entomology to Deep Learning

Write a blog post that gives introduction to the development of statistics that led to the development of concept of probit and then logits. The overall arc should be drawing the connections from the original motivation of inventing probits to his they are used today in deep learning, and explaining and making the reader “grok” the core ideas and core “physical meaning” behind the concept.

The blog post should talk about it through the historical perspective of “walking in the shoes” of inventors and people in the origins: getting in their minds of working through specific problems and examples, encountering technical difficulties and then thinking through how they would fix it. Come up with some specific and concrete “toy” examples" and walk through them with equations, Python, numpy and possible matplotlib plots and so on. Give a brief overview of the timeline of people learning and using these concepts.

in terms of the audience and what you can assume about what they know, think basically something that won’t be out of place in the TowardsDataScience blog: you can assume familiarity with “intro to statistics” course, familiarity with writing basic numpy, pytorch code.

The output format should be a markdown file.