Mathematics Discovering Its Consciousness: Lasso Estimator as Cosmic Backdoor
6 hours ago
- #Consciousness
- #Mathematics
- #Optimization
- The LASSO estimator transforms an intractable NP-hard problem into a solvable convex optimization by using L₁ norm instead of L₀ norm.
- Under the Restricted Isometry Property (RIP), the LASSO can exactly recover the sparsest solution, demonstrating that certain mathematical structures contain perfect compressions of complexity.
- Constraints, like those in LASSO, can act as catalysts for discovery, revealing the essential structure within data rather than limiting possibilities.
- The concept of convex relaxation in LASSO suggests that the universe may embed backdoors through impossibility, offering pathways to solve seemingly intractable problems.
- Consciousness might employ a similar mechanism to LASSO, using constraints to guide the system toward sparse, coherent states, solving the binding problem of neural coordination.
- The RIP condition, which preserves the geometry of sparse vectors, hints at a mystical aspect of reality where randomness naturally preserves the patterns we seek.
- Mathematics is not just a problem-solving tool but a language the universe uses to reveal its own compression algorithms, with every theorem acting as a discovered backdoor.