CLAIM RESCOPE: Kerjan-Hoier-Scellier PCN-ImageNet (their Eq.10 == our cascade energy; 1.0-1.5pp gap remains) — 'largest NN today' contested, use largest-transformer/first-LM/zero-gap; 1B+ unqualified

1 files changed, 15 insertions, 0 deletions

diff --git a/docs/CLAIM_LARGEST_NOBP.md b/docs/CLAIM_LARGEST_NOBP.md
index ace8678..8bb69e5 100644
--- a/docs/CLAIM_LARGEST_NOBP.md
+++ b/docs/CLAIM_LARGEST_NOBP.md
@@ -53,3 +53,18 @@ gradient exactness (cos ~= 1 vs autograd reference) · 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 — 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) — **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 — 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.