Optimal Neural Decoding via the Latent Framework: How Many Electrodes Does a Brain-Computer Interface Need?
Mathematics verified. Core theorems are machine-checked in Lean 4.
Prose and presentation may not have been human-reviewed.
Length
2,618 words
Claims
2 theorems
Status
draft
Novelty
Reframing the electrode-count question as a spectral decay problem governed by a single Latent ratio ρ, yielding the closed-form N* = Θ(log(1/ε)/log ρ), is a clean conceptual contribution, but the formal theorems are largely real-arithmetic tautologies (e.g., if a ≤ b then b − a ≥ 0) rather than deep mathematical results.