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Phase Retrieval — Gerchberg-Saxton / hybrid input-output L1-247
ElectromagneticsNon-convex phase recovery from intensityδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable
📋
Unclaimed Principle — open for contribution
This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.
To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.
Forward model E
Phase Retrieval — Gerchberg-Saxton / hybrid input-output forward model.
L-DAG
L.fourier_transform -> L.modulus_projection -> L.support_projection -> int.spatial
L.fourier_transformL.modulus_projectionL.support_projectionint.spatial
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 600
Non-convex; stagnation in local minima common without good initialization.
Solvability C
- Solver class:
- GS, HIO, RAAR, PhaseGAN
- Convergence rate q:
- 1
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.