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Releases: Concode0/Versor

Release v1.0.0: The Unbending Paradigm

10 Mar 14:35
@Concode0 Concode0
v1.0.0
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Release v1.0.0: The Unbending Paradigm Latest
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Versor 1.0.0 is officially released.

Over the past 5 weeks, the Versor framework has evolved from a theoretical proof-of-concept into a robust geometric computing engine. With this v1.0 milestone, the core architecture—spanning $Cl(p,q,r)$ kernels, signature-aware exponentials, and the Geometric Blade Network (GBN)—is now fully complete and mathematically grounded.

We replace standard matrix multiplications with pure Geometric Algebra (Rotor) operations to preserve the topological structure of data, achieving SOTA-level efficiency and performance.

What's Built

  • Cl(p,q,r) kernel with null dimension support for Projective GA
  • Signature-aware exp map — closed-form elliptic/hyperbolic/parabolic (no Taylor series)
  • Hermitian metrics for positive-definite inner products in any signature
  • Multi-Rotor GBN with K weighted rotors (geometric spectral decomposition)
  • Rotor Gadget — parameter-efficient linear replacement (~63% param reduction)
  • Automatic Metric Search via GeodesicFlow + bivector energy analysis
  • CGA embedding Cl(n+1,1) for conformal geometric algebra
  • Riemannian Adam optimizer — Adam momentum in the Lie algebra (bivector space)
  • Geometric activations — GeometricGELU, GradeSwish, GeometricSquare
  • Rotor-to-symbolic-formula translation — direct readout of trained weights as equations
  • Iterative geometric unbending — 4-phase SR pipeline with blade rejection
  • CliffordGraphConv for molecular graphs
  • Bivector pruning for geometric sparsity
  • GeometricTransformerBlock with entropy-gated attention

v1.0 Final Benchmarks

The cautious "alpha" performance has been shattered. Final metrics achieved on a single RTX Pro 4500:

  • MD17 (Molecular Dynamics): Energy / Force MAE reached 0.476 / 0.077 (benzene) in ~40 mins, matching heavy E(3)-GNNs with pure $Cl(3,0,1)$ PGA. Error distributions perfectly peak at 0 (Gaussian).
  • Symbolic Regression (SR): Median R² = 0.9525 on 15 First Principles equations using $Cl(4,0)$.
  • LQA: 100% accuracy on Chain reasoning (up to length 13) on frozen embeddings via $Cl(4,1)$ CGA.
  • DEAP (EEG): Mean RMSE 0.2576 (Cross-subject) / 0.2329 (Within-subject) using $Cl(3,1)$ Minkowski.
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