FA-98983 / Optimizer update state / Member archive
Adam epsilon is scaled by the second-moment correction · case 03
Adam epsilon is scaled by the second-moment correction.
Case contract
Return lr*mhat/(sqrt(vhat)+eps), where mhat=m/(1-b1**t), vhat=v/(1-b2**t).
Why this case matters
Optimizer implementations must associate each parameter with its own mathematically specified update state.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| unit corrected root | 0.5 | 0.6666666666666666 | Failed |
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