{"artifact_id":"L1-015","layer":"L1","title":"MINFLUX (minimum-photon single-molecule localization)","domain":"Microscopy","sub_domain":"Doughnut-beam nanometer localization","physics_fingerprint":{"L_DAG":4.0,"title":"MINFLUX (minimum-photon single-molecule localization)","domain":"Microscopy","carrier":"photon","primitives":["L.excitation.donut_array","D.threshold.photon","int.temporal"],"sub_domain":"Doughnut-beam nanometer localization","noise_model":"shot_poisson","problem_class":"nonlinear_inverse","solution_space":"point_list","difficulty_delta":10,"integration_axis":"temporal","sensing_mechanism":"minflux_targeted_donut"},"observable_profile":{"metric":"localization_precision_nm","regime":"Existence of the recovered point list is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 25); beam_position_error dominates the stability cliff; background_count 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":"detection_recall"},"size_tiers":{"center_spec":{"omega":{"H":64,"W":64,"L_nm":150,"N_beams":4,"drift_nm":0.0,"background_count":1,"beam_position_error":0.5,"photons_per_localization":50},"input_format":"measurement_only","problem_class":"minflux","forward_operator":"minflux_forward","epsilon_fn_center":"2.0"},"omega_bounds":{"H":[32,256],"W":[32,256],"L_nm":[50,500],"N_beams":[4,6],"drift_nm":[0.0,3.0],"background_count":[0,20],"beam_position_error":[0.0,3.0],"photons_per_localization":[20,500]},"epsilon_bounds":{"localization_nm":[0.5,50.0]},"allowed_problem_classes":["minflux"],"allowed_omega_dimensions":["H","W","N_beams","L_nm","photons_per_localization","beam_position_error","background_count","drift_nm","beam_position_error","background_count","drift_nm"],"allowed_forward_operators":["minflux_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":10,"kappa":500,"metric":"localization_precision_nm"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xc32ce518f71665e922e0374cfc7b018ee616877f51c91c373920de517797d27b","chain_tx_hash":"0x6ad96130aad7b4193086cad654f43635971823d6429461f37116baa706e4a95a","chain_block":41554155}