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@@ -53,3 +53,18 @@ gradient exactness (cos ~= 1 vs autograd reference) ยท analog-compatible trained
- https://www.science.org/doi/10.1126/science.adi8474
- https://github.com/UbiquitousLearning/Backpropagation_Free_Training_Survey
- https://arxiv.org/abs/2511.01061 (forward-only rigorous evaluation, 2025)
+
+## UPDATE 2026-07-11: Kerjan-Hoier-Scellier (Rain AI), arXiv:2606.03584 โ€” the closest relative, and a re-scoping.
+"Training a PCN on ImageNet using EP" (June 2026): VGG10 PCN, full ImageNet, centered EP,
+top-1 33.81 vs BP 32.35 (top-5 13.23 vs 12.20) โ€” **a real 1.0-1.5pp gap remains, at the hands of
+EP's inventor**. Their construction IS the layered-energy bridge (their Eq. 10 == our cascade energy;
+free phase == forward pass; single-equilibrium simplification == our single-sided legality; their
+mod-PGD/asynchronous traversal ~= our fb solver). Vision classification only; hardware explicitly
+punted ("remains unclear whether F_PCN could be efficiently realized in hardware"). Parameter count
+not stated (VGG10-class, plausibly 20-130M) => **"largest NN today" is CONTESTED โ€” do not use.**
+RE-SCOPED claims that hold today: largest/first TRANSFORMER fully trained without BP; first
+AUTOREGRESSIVE LANGUAGE MODEL; the only zero-gap result (matched-tuning indistinguishability; their
+best retains 1.0-1.5pp). At 1B+ the unqualified largest-NN claim reactivates regardless of their
+param count. STRATEGIC: same lab as CET, funded by Rain AI + ARIA Scaling Compute; their refs
+(mu-PC 100+ layers, Goemaere signal-decay, Qi step-size schedules; Momeni et al. Nature 2025 PNN
+review) are our depth-scaling reading list and the venue precedent.