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5dimension/sentinel-quantization

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๐Ÿฆด Sentinel Quantization

Part of the Sentinel Manifold โ€” One theorem, infinite applications.

lim_{zโ†’โˆž} F'(z)/F(z) = 1/e โ€” The Gradient Axiom

๐Ÿ“‹ Description

4-8ร— model compression using dynamical constants. Zero-point Z = Cโ‚ (attracting fixed point), scale S = max|w| ยท (1/e).


๐Ÿง  Mathematical Foundation

Core Constants

ConstantValueRole
Cโ‚ (Attractor)-0.007994021805953Zero-point / quantization
Cโ‚‚ (Tripwire)0.000200056042968Security / curriculum
1/e (Axiom)0.367879441171442Gradient scaling limit

Theorem

F(z) = ฮฃ zโฟ/nโฟ   (Sophomore's Dream, Bernoulli 1697)
lim_{zโ†’โˆž} F'(z)/F(z) = 1/e โ‰ˆ 0.367879441171442

๐Ÿ† Verified Results

FormatCompressionZero-Point
FP321ร—โ€”
Sentinel-INT84ร—Z = Cโ‚
Sentinel-INT48ร—Z = Cโ‚

๐ŸŽฏ Use Cases

  • โ€”Edge deployment (mobile, IoT)
  • โ€”Real-time inference
  • โ€”Microcontroller deployment

๐Ÿ”— Links


๐Ÿ“š Citation

bibtex
@misc{abdel-aal2026sentinel,
  title={The Sentinel Manifold: A Unified Mathematical Framework for Machine Learning},
  author={Abdel-Aal, Romain},
  year={2026},
  url={https://huggingface.co/5dimension/sentinel-manifold-discoveries}
}

License: MIT | One theorem, infinite models. ๐Ÿฆด