← all papers
JMLR 22-1228auditjudge PASS 5/52026-08-16

Grokking phase transitions in learning local rules with gradient descent

Grokking in cellular-automaton rule learning: critical exponents, grokking-probability trends, and a bimodal grokking-time distribution. Audited end to end on CPU.

5supported
0falsified
1inconclusive
0not audited
354trace events
20failures preserved

claims

C1Critical exponent in 1D exponential model1 attemptsupported
C2Critical exponent in D-dimensional uniform ball model1 attemptsupported
C3Grokking probability increases with L1 regularisation1 attemptsupported
C4Grokking probability decreases with dimension D1 attemptsupported
C5Rule-30 CA learning exhibits grokking1 attemptinconclusive
C6Grokking time distribution bimodality1 attemptsupported

figure evidence

the trail

31 model calls · 199 tool runs · 39.4 min wall · append-only, failures preserved

·
trace.jsonl — replaying live run
0:00