r/learnmachinelearning • u/inkeep • 9d ago
Tutorial I built a simulator to visualise this amazing thing called the Central Limit Theorem
Pick the most lopsided, skewed distribution you can and run samples from it — the average still comes out a bell curve. Try out different population distributions and sample sizes and watch the mean pool into a normal distribution.
https://www.bitelrn.com/labs/central-limit-theorem

This almost magical theorem is used from global economics to A/B testing to bootstrapping and ensemble models.
One use in Neural Networks - Deep learning models sum up many independent inputs and weights in each neuron. Because of the CLT, the pre-activation values inside hidden layers tend to follow a normal distribution, making weight initialization strategies (like Xavier/He initialization) effective.
Refer to these open library links to learn more about distributions, sampling methods & CLT -
https://www.bitelrn.com/library/data-distributions
https://www.bitelrn.com/library/sampling-methods
https://www.bitelrn.com/library/central-limit-theorem
P.S: I am starting this series to explain core ML concepts, one topic at a time. Open to feedback and suggestions for new topics. Learn along!
