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High-Score Bucket

Q: What is a high-score bucket? A: A high-score bucket compresses low-frequency high scores such as 6 or more goals into one state, keeping the model finite.

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High-Score Bucket

Q: What is a high-score bucket?

A: A high-score bucket is a way to compress the score space.

Football can theoretically end with many scores, such as 6:0, 7:2, or 8:3. If the model enumerates every possible score without limit, the state space becomes too large.

So high scores can be put into one bucket.

For example, use 99 to represent 6 or more goals:

\[ {0,1,2,3,4,5,99} \]

The score-state space becomes:

\[ {0,1,2,3,4,5,99}\times{0,1,2,3,4,5,99} \]

Examples:

State Meaning
5:2 Home 5, away 2
99:0 Home 6 or more, away 0
1:99 Home 1, away 6 or more
99:99 Both teams in the high-score bucket

The point is not to predict 99:99. It is to represent the high-score region with a finite symbol.