The philosophy of the project in one image:
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The Innovation:
Most transformers suffer from "semantic friction" in standard attention. I replaced the attention mechanism with a native E8 Root System Lattice. By leveraging the densest sphere packing in 8D, LILA-E8 achieves a state of "Geometric Resonance" that standard architectures simply cannot reach at this scale.
The Results (TinyStories Benchmark):
Model Size: 40M parameters.
Performance: 0.37 Train / 0.44-0.53 Val Loss (outperforming standard 60M baselines).
Context: Stable 1000+ token generation with zero semantic looping.
Hardware: Designed to run fully offline on mobile NPU/CPU
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