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The tests do not protect the behavior changed here.
test_init_state_layoutchecks eigenvalue shapes but not their values.test_update_kronecker_factors_matches_legacychecks only a later update using the same helper. Returning to zero initialization could therefore pass both tests.Add a first-step test with a rectangular gradient
G,shampoo_beta=0, and small positiveeps. Check thatinit_stepproducesL = G @ G.T / nandR = G.T @ G / m.Note: If this suggestion doesn't match your team's coding style, reply to this and let me know. I'll remember it for next time!