All that is under the Sun
Imagine you’ve built an AI model to sort fruit. After training, you test it on 100 pieces of fruit (80 apples and 20 oranges). The model correctly identifies 85 of them. Is it a good model? Your first instinct might be to say it’s “85% accurate,” and therefore pretty good. But what if I told …
“If probability is the language of uncertainty, a PMF is its grammar: crisp, discrete, and occasionally punch‑line worthy.” Picture this: You open your favorite generative‑AI app, type “Write me a haiku about mangoes,” and in less time than it takes to blink, a tiny digital poet complies. What sorcery decides which 17 syllables appear? Beneath …
We constantly hear about AI’s incredible feats: identifying cats in photos better than your cousin Kevin, translating languages on the fly, even spotting diseases on medical scans. AI models, especially those powered by Deep Learning, are phenomenal classifiers. They can look at data and yell “CAT!” or “SPAM!” or “POTENTIAL TUMOR!” with astonishing accuracy. But …
In the real world, outcomes are rarely certain. Will it rain tomorrow? Will a stock price go up? Will a user click on an ad? Probability theory provides the mathematical framework for reasoning about uncertainty, and at the heart of this framework lies the concept of a probability distribution. A probability distribution is a fundamental …