{"artifact_id":"L1-008","layer":"L1","title":"Fourier Ptychographic Microscopy (FPM)","domain":"Microscopy","sub_domain":"Synthetic-aperture low-NA wide-FOV microscopy","physics_fingerprint":{"L_DAG":4.0,"title":"Fourier Ptychographic Microscopy (FPM)","domain":"Microscopy","carrier":"photon","primitives":["S.scan.led_angle","L.fourier_aperture","L.modulus_squared","int.angular"],"sub_domain":"Synthetic-aperture low-NA wide-FOV microscopy","noise_model":"shot_poisson","problem_class":"nonlinear_inverse","solution_space":"complex_2D","difficulty_delta":5,"integration_axis":"angular","sensing_mechanism":"angular_illumination_scan"},"observable_profile":{"metric":"PSNR_dB","regime":"Existence of the recovered complex 2D is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is ill-conditioned (kappa_eff ~= 80); LED_position_error dominates the stability cliff; LED_intensity_variation and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega.","secondary":"SSIM"},"size_tiers":{"center_spec":{"omega":{"H":512,"W":512,"N_LED":169,"NA_obj":0.1,"overlap":0.65,"peak_photons":1000,"partial_coherence":1.0,"LED_position_error":0.0},"input_format":"measurement_only","problem_class":"fpm","forward_operator":"fpm_forward","epsilon_fn_center":"26.0"},"omega_bounds":{"H":[256,4096],"W":[256,4096],"N_LED":[49,625],"NA_obj":[0.05,0.3],"overlap":[0.35,0.85],"peak_photons":[50,10000],"partial_coherence":[0.7,1.0],"LED_position_error":[0.0,2.0]},"epsilon_bounds":{"psnr_db":[12.0,42.0]},"allowed_problem_classes":["fpm"],"allowed_omega_dimensions":["H","W","N_LED","NA_obj","overlap","peak_photons","LED_position_error","partial_coherence","LED_position_error","LED_intensity_variation","partial_coherence"],"allowed_forward_operators":["fpm_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":1600,"metric":"PSNR_dB"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x9beaa2d1b5a6dee00726849542f6ce3cfde09620cc9e6c20a0344ac5dc09c199","chain_tx_hash":"0x0e226b8e0395a1ee955c02b8fd4f7c033631ca2c65f9b86acf2193e789e729f0","chain_block":41554154}