Reproduce “Infinite Worlds from One Example: What Local Generators Must Share” on OpenResearch
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About this paper
Amin Najafgholizadeh, Mohsen Afsharchi
The paper studies random-access generation of constrained game worlds. It proves that when validity transports a quantity across distance, independent per-cell randomness cannot ensure exact validity and faithful example statistics; at finite radius, defect density is at least inverse in radius. With shared inputs, the generator meets the post-repair validity threshold on 45 of 52 examples, allowing one forbidden window per thousand.
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