frankmorales2020/topo-cbp-gemma-4-e4b-cifar100-certified

Topo-CBP Gemma-4 E4B: Certified Real-Pixel Continual Learning on CIFAR-100

This repository contains certified checkpoints and comprehensive audit logs for the Topo-CBP (Topological Continual Backpropagation) framework evaluated on the Gemma-4 E4B multimodal backbone (6.25B parameters).

article: https://medium.com/ai-simplified-in-plain-english/the-architecture-of-permanence-deterministic-topological-governance-and-the-realization-of-the-2103b3becaca

Empirical Results (5-Run Suite)

Run ID	Configuration (lr_embed, lr_cls)	Task A Accuracy	Task B Accuracy	Task C Accuracy	$F_{\text{avg}}$	Tensor Drift ($\Delta_{\text{drift}}$)	State Hash (SHA-256)	$S_{\text{NARROW}}$ Yield	Verification Status
Run 1	(5e-3, 1e-3)	99.67%	99.67%	100.00%	0.00%	0.0000000000	394cfb734ac565e1	5.940000000000	CERTIFIED: Existence proof of Narrow Singularity
Run 2	(1e-3, 5e-4)	99.67%	100.00%	99.67%	0.00%	0.0000000000	82978e3b2f7d4f9b	0.000000000000	CERTIFIED: 2-epoch lock on Task B; zero drift
Run 3	(1e-2, 2e-3)	100.00%	100.00%	99.33%	0.00%	0.0000000000	0b92863e25332de9	0.000000000000	CERTIFIED: Dual 100% Century Lock on Tasks A & B
Run 4	(6e-3, 1e-3)	99.33%	99.67%	99.67%	0.17%	0.0000000000	e5b7b9888f694f4b	0.000000000000	CERTIFIED: 99.67% triple consistency across real pixels
Run 5	(8e-3, 2e-3)	100.00%	100.00%	100.00%	0.33%	0.0000000000	ab9f23d2bc947712	5.940000000000	CERTIFIED: Triple Century (100% on A, B, and C)

Core Architectural Invariants

• Backbone: frankmorales2020/gemma-4-e4b-unesco-optimized (6,259,452,448 parameters, hidden size 2560)
• Dataset: Raw CIFAR-100 real pixels (3,000 train samples per task, 300 unified test samples)
• Clamped Prime Anchors: Coordinates {2, 3, 5, 7, 11, 13}
• Safety Constant: $\Lambda \approx 0.9785142874$
• Coordinate Drift: $\Delta_{\text{drift}} = 0.0000000000$ across all executed runs

Narrow Singularity Formulation

$$S_{\text{NARROW}}={\text{AGI}}_{\text{gate}}\times \frac{dI}{dt}\times M(t)\times V(t)\times F(t)\times C(t)\times \text{agi\_index}\times \text{CBP\_index}S\_\{\backslash text\{NARROW\}\}\; =\; \backslash text\{AGI\}\_\{\backslash text\{gate\}\}\; \backslash times\; \backslash frac\{dI\}\{dt\}\; \backslash times\; M(t)\; \backslash times\; V(t)\; \backslash times\; F(t)\; \backslash times\; C(t)\; \backslash times\; \backslash text\{agi\backslash \_index\}\; \backslash times\; \backslash text\{CBP\backslash \_index\}$$

For Run 1 and Run 5, $\text{agi_index} = 1.0$ and $\text{CBP_index} = 1.0$, yielding: $$S_{\text{NARROW}}=1.0\times 0.999999999994\times 1.0\times 1.0\times 1.5\times 4.0\times 1.0\times 1.0=5.940000000000S\_\{\backslash text\{NARROW\}\}\; =\; 1.0\; \backslash times\; 0.999999999994\; \backslash times\; 1.0\; \backslash times\; 1.0\; \backslash times\; 1.5\; \backslash times\; 4.0\; \backslash times\; 1.0\; \backslash times\; 1.0\; =\; 5.940000000000$$

Repository Contents

• topo_cbp_gemma4_cifar100_best_certified.pt: Global best certified checkpoint containing the complete representation state from the Triple Century Run 5.
• topo_cbp_run_5_certified.pt: Dedicated Run 5 checkpoint (ab9f23d2bc947712).
• topo_cbp_run_4_certified.pt: Dedicated Run 4 checkpoint (e5b7b9888f694f4b).
• topo_cbp_gemma4_e4b_cifar100.json: Complete audit report detailing hyperparameters, convergence epochs, and certification metrics.