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      "statement": "# SOAP: Adam updates in a Shampoo preconditioner eigenbasis\n\nRelated a half-power Shampoo variant to Adafactor in its preconditioner eigenbasis and evaluated Adam-style updates in that slowly updated basis.\n\n## Scientific scope\n\nExplicitly 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.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nNikhil Vyas; Depen Morwani; Rosie Zhao; Itai Shapira; David Brandfonbrener; Lucas Janson; Sham Kakade\n\nSource-listed authors or explicitly credited technical contributors for the cited versions. Family entries retain source-specific attribution; a combined list is not one original-paper byline or equal individual work. Names alone do not establish resolved identities.\n\n\n\n## Original sources\n\n- [SOAP: Improving and Stabilizing Shampoo using Adam](https://arxiv.org/abs/2409.11321v1)\n",
      "summary": "Related a half-power Shampoo variant to Adafactor in its preconditioner eigenbasis and evaluated Adam-style updates in that slowly updated basis.",
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