apirolo/TopologicalAI

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tags: - green-ai - edge-computing - c++ - spectral-graph-theory - ramanujan-graphs - topological-deep-learning license: other

⚡ Ramanujan Spectral Reservoir (RSR)

"Intelligence is not about weight adjustment, but optimal topology."

This repository hosts the reference implementation and benchmarks for the Ramanujan Spectral Reservoir, a topological AI architecture that replaces Backpropagation with closed-form solutions on spectral expander graphs.

🚀 Key Benchmarks

We achieved hard real-time performance on commodity hardware by eliminating iterative training in hidden layers:

Device	Metric	Result	Speedup vs MLP
Legacy CPU (i5-4570, 4th Gen)	Inference Time	~287x Faster	287x
Mobile (Android ARM64)	Latency	< 0.6 ms	>100x
Throughput	FPS	1600+ inf/sec	N/A

📄 The Paper

Ramanujan Spectral Reservoir (RSR)

🔧 How it Works

1. Project: Input data is projected onto a fixed Ramanujan Graph ($d$-regular spectral expander).
2. Diffuse: Information propagates via spectral diffusion (mixing time is optimal).
3. Solve: The readout layer is computed analytically (Closed-Form) using Ridge Regression.
4. Result: Deterministic, Green AI that runs on bare metal C++.

💻 Code Availability

The C++ kernel for Android and the Python reference implementation are available on ZENODO

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Developed by Andrés Sebastián Pirolo. Contact: andrespirolo@gmail.com