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SOAP: Adam updates in a Shampoo preconditioner eigenbasis

Contribution grade

Neural-network optimization · Human-designed research method or resource

Reference score65,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Related a half-power Shampoo variant to Adafactor in its preconditioner eigenbasis and evaluated Adam-style updates in that slowly updated basis.

Scientific scope

Related a half-power Shampoo variant to Adafactor in its preconditioner eigenbasis and evaluated Adam-style updates in that slowly updated basis. Explicitly synthesizes earlier preconditioning/rotated-space variants; systematic evaluation is not first invention of all components. Equivalence concerns a specified Shampoo exponent/variant. Reported savings use tuned360M/660M runs; matrix-state/eigendecomposition costs remain.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. Explicitly synthesizes earlier preconditioning/rotated-space variants; systematic evaluation is not first invention of all components. Equivalence concerns a specified Shampoo exponent/variant. Reported savings use tuned360M/660M runs; matrix-state/eigendecomposition costs remain.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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