results: close fixed hierarchical FA short gate

1 files changed, 26 insertions, 0 deletions

diff --git a/RESULTS.md b/RESULTS.md
index eb8feec..d13a58c 100644
--- a/RESULTS.md
+++ b/RESULTS.md
@@ -728,6 +728,32 @@ must learn these hierarchical feedback maps without copying forward weights
 and must compare against fixed/random hierarchical FA and BurstCCN; merely
 adding recursive feedback is established prior art.
 
+### Matched convolutional hierarchical-FA baseline
+
+The HFA implementation was mechanically audited and its three-run short screen
+was frozen before any HFA accuracy endpoint was observed. It mirrors the real
+option-A residual DAG with independent random 3x3 feedback tensors and local
+ReLU/BatchNorm Jacobians. An audit-only symmetric copy reproduces exact hidden
+credit to `4.97e-16` relative error and the BP parameter update to `1.49e-8`
+absolute error; actual runs never copy a forward tensor.
+
+On the identical 10k-example, 20-epoch ResNet-20 A2b setting:
+
+| hidden LR | validation accuracy | early-third alignment | estimated MACs | causal queries |
+|--:|--:|--:|--:|--:|
+| 0.01 | 39.64% | 0.004572 | 2.4242e13 | 0 |
+| 0.03 | 41.58% | 0.011338 | 2.4242e13 | 0 |
+| 0.10 | **43.52%** | **0.040406** | 2.4242e13 | 0 |
+
+All three trajectories are finite, use source commit `f37644e`, allocate
+1.731 GB peak GPU memory, take 89.3--89.6 seconds on one GTX 1080, and never
+evaluate test. Selected HFA improves on matched tuned DFA (`37.16%`) by 6.36
+points and failed-v1 SDIL (`41.98%`) by 1.54 points, but remains 31.42 points
+below BP (`74.94%`). It misses the frozen 50% full-run threshold by 6.48
+points, so HFA-S2 is closed without further tuning. The result confirms that
+spatial hierarchy is useful but that fixed random hierarchy alone does not
+solve standard-depth credit.
+
 ## How to run
 `experiments/run.py --mode {bp,fa,dfa,sdil} --dataset {mnist,fmnist,cifar10} --depth D --residual {0,1} --act {tanh,gelu,silu,relu}`
 Batteries: `experiments/run_v2.sh <ds> "<depths>" <res> <act> "<seeds>" <ep> <pfx>`.