Research Overview
Our research pioneers a fundamentally new approach to AI safety through mathematical verification and GPU-accelerated symbolic computation.
Core Innovation: A₄ Group Theory for AI Safety
We have discovered that the alternating group A₄ (the symmetry group of a tetrahedron) provides the minimal complete structure for AI safety verification. This gives us 12 unique perspectives that, when combined, provide mathematical certainty about AI behavior.
GPU-Accelerated Symbolic Mathematics
Traditional symbolic computation runs on CPUs. We are pioneering symbolic mathematics on GPUs, achieving:
- 34.8x speedup for parallel safety verification operations
- 2-5x speedup for general mathematical operations
- Real-time proof generation at inference speed
Technical Architecture
Our multi-layer verification system includes:
- Axiomatic Foundation Layer: Core safety axioms that cannot be violated
- Mathematical Transformation Layer: A₄ group operations ensuring completeness
- Empirical Validation Layer: Real-world testing and verification
Performance Validation
All performance claims are validated on real hardware (NVIDIA RTX 3050 Ti):
- Matrix operations: 5.6x GPU speedup
- Vector operations: 34.8x GPU speedup
- Symbolic operations: Currently 8x faster on CPU (our optimization target)
Applications
- Financial Services: Provably safe trading algorithms
- Healthcare: Mathematically verified diagnostic AI
- Autonomous Systems: Safety proofs for critical decisions
- Enterprise AI: Compliance through mathematical architecture
Publications & Code
Our research emphasizes reproducibility and transparency:
- GitHub: github.com/Djeanii
- Technical papers: Coming soon
- Benchmarks: Available upon request