Editing Openai/6939b23e-87cc-8001-bdd9-9546d1143ce9 (section)

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The King (the AI model) must choose the next warrior (token) to send on a mission.

Step 0 — The Scribes Compute Warrior Strengths
Before the meeting, the King’s scribes score each warrior by their likelihood of being chosen:

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===== The Advisor says: =====
"Only the top 5 warriors may enter the throne room."

He allows:
* A (0.28)
* B (0.22)
* C (0.15)
* D (0.12)
* E (0.08)

Effect: warriors F–J are excluded.
Top-K removes everyone below the top K, leaving only the strongest.

===== The Mathematician wants to avoid overwhelming the King with too many options. =====
* He lines up the warriors from strongest to weakest.
* He counts their chances one by one.
* He says: “We stop showing more warriors once we’ve covered enough of the King’s likely choices.”
* Warriors past that point are hidden.

Example: Top-p = 0.80

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* Result: all 5 warriors stay because the total chance exceeded 0.80 only after including E.
* If top-p = 0.70, the Mathematician would stop at D → E is removed.

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===== Temperature controls how adventurous the King is: =====
* Temperature = 0 → King always picks the strongest warrior.
* Medium (e.g., 0.7) → King favors the strongest but may explore others.
* High (1.0–1.5) → King treats remaining warriors more evenly.

Effect: temperature adjusts determinism vs. exploration.

===== Min-P sets a floor for attention: =====
* Warriors with a chance above a minimum (X%) must be considered, even if top-k or top-p would remove them.
* Ensures the King doesn’t ignore slightly-likely warriors.

Metaphor: a safety net to prevent total blind spots.

===== The King dislikes sending the same warrior repeatedly: =====
* If a warrior was chosen recently, their chance drops slightly.
* Encourages the King to select other warriors instead of repeating the same one.

Metaphor: “Even a hero gets tired of fighting all the time.”

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If you want, I can also make a simple diagram showing all 5 rules in action with warriors A–J, so you can see how each filter and adjustment affects the final choice. This is really intuitive and makes it easier to explain to someone else.

Do you want me to make that diagram?