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@@ -115,6 +115,12 @@ path: it perturbs the channel-gated basis directly and reproduces the expected full-field delta rule with far less irrelevant spatial variance. It does not retroactively reopen or relabel the failed frozen Oral-A protocol. +The same smoke suite also audits a convolutional hierarchical-FA baseline. Its +random feedback tensors follow the real residual DAG and use local activation +Jacobians, but remain independent of forward weights. An audit-only symmetric +copy reproduces exact hidden gradients to `5.3e-16` relative error and the BP +parameter update to `2.98e-8`; actual HFA never performs that copy. + The subsequent V3 mechanism estimates the required A/G matrix statistics directly by perturbing the vectorizer parameter subspace. It remains forward-only and uses two causal loss queries per direction. Its exact and |