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analytic-continuation

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A physics-informed machine learning approach for analytic continuation of Green’s functions. Uses a Variational Autoencoder (VAE) to reconstruct spectral functions by explicitly learning poles and residues from imaginary-time Quantum Monte Carlo data. Robust, interpretable, and designed for noisy inputs.

  • Updated Aug 20, 2025
  • Python

Certified analytic geometry on an explicit K3 surface: a finite holomorphic atlas whose chart domains, transitions and branch continuations are machine-checked rather than asserted. Sixty chart types, exact transitions over Q, outward-rounded arithmetic elsewhere. No Ricci-flat metric claimed. One command verifies fourteen certificates.

  • Updated Aug 21, 2026
  • Python

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