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memoryless prediction
Markov chains predict future states based only on the current state, ignoring past history. This 'memoryless' property simplifies complex systems like weather, disease spread, or even Google's PageRank algorithm.
- 🌐 The concept originated from a math feud in Russia over free will vs. determinism.
- ⚛️ Nuclear bomb simulations used Markov chains to model neutron behavior, leading to the Monte Carlo method.
- 📈 Google's PageRank uses Markov chains to model web surfing, ranking pages by how often a random surfer visits them.
- ✍️ Text prediction, like in Gmail, uses Markov chains to guess the next word based on previous ones.
- 🔣 Shuffling a deck of cards seven times with a riffle shuffle makes it random, a process modeled as a Markov chain.
A diagram showing interconnected nodes and arrows, representing states and transitions, with logos of Spotify, Google, and ChatGPT at the bottom.