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Re:3Blue1Brown: But what is a GPT? [video] on Monday April 01, 2024 @05:13PM (#39899422)
Something like this does exist, production systems rarely use greedy search but have more holistic search algorithms.

An example is Beam Search:https://www.width.ai/post/what-is-beam-search

Essentially we keep a window of probabilities of predicted tokens to improve the final quality of output.