Probability Theory
17 Threads
How LLMs work, clearly explained:
6. Geometric Distribution Type: Discrete Characteristics: Models the number of Bernoulli trials needed to get one success, including the success trial. Applications: Used in modeli...
How LLMs work, clearly explained:
Ever wondered how LLMs generate text❓🤔 Let's take the magic out of it and break things down to first principles! Today, I will explain the concept of conditional probability and...
Naïve Bayes is the only algorithm that is based on Bayesian probabilities! But It assumes that features are independent of each other, that's the reason it's called "Naïve". Here...
Are you familiar with the different distributions used in statistics? I will share the basics now. From Bernoulli to Power-law, there are many to explore! 1/9 https://t.co/floNe...
1/ Get a cup of coffee. In this thread, I'll walk you through "Gambler's Ruin". This is a classic exercise in probability theory. But going beyond the math, this exercise can t...
The Trading Paradox ⬇️ a thread ⬇️ https://t.co/zLDxkQX3Rx
Suppose E[X^2] and E[Y^2] exist, that E[Y | X] = X, and that E[X | Y] = Y. Then X=Y a.s. Probabilist's interp.: a forward and backward martingale is constant. Statistician's inte...
The notion of “probability” is both familiar (we use it), and mysterious (we would typically struggle to define it). Here is a 🧵 to remove the mystery and make the meaning of “pro...
How frequently do streaks of luck come along? If I repeatedly flip a coin 🪙, any fule kno it takes on average two tosses to get a head. Or six rolls of a dice 🎲 on average to get...
You can explain the Bayes formula in pure English. Despite being overloaded with seemingly complex concepts, it conveys an important lesson about how observations change our belie...
Expected value is one of the most fundamental concepts in probability theory and machine learning. Have you ever wondered what it really means and where it comes from? The formul...
Imagine I tell you this: "The probability of a particular event happening is zero." Contrary to what you may think, this doesn't mean that this event is impossible. In other word...
The Possibility Paradox 🧠 The Possibility Paradox describes the Overweighing of Highly Unlikely Outcomes and Underweighting of almost Certain ones. This has Three Leading Causes...
1/ Get a cup of coffee. In this thread, I'll help you understand the basics of probability distributions and random variables. https://t.co/IrxYJPQeeF
MEGATHREAD TIME: In 40 tweets I will describe 40 powerful concepts for understanding the world. Some are complex so forgive me for oversimplifying, but the main purpose is to incit...
