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Quantifying Entropy Collapse in Recursively Trained AI Systems: A Framework for Variance Injection and Stagnation Thresholds

2026-03-24

Abstract excerpt

<title>Abstract</title> <p> AI systems that train recursively on their own outputs gradually narrow the range of what they can produce—losing rare, high-variance outputs first, long before standard benchmarks register any degradation. No analytical formula has existed for the minimum human contribution required to prevent this collapse, and no practical early warning signal has been proposed. We derive the minim...

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Literature Corpus work
2e684969-898e-5138-9ee4-aab8090341fb
DOI
10.21203/rs.3.rs-9196766/v1
Open publication

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Quantifying Entropy Collapse in Recursively Trained AI Systems: A Framework for Variance Injection and Stagnation ThresholdsDOI 10.21203/rs.3.rs-9196766/v1
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