{"artifact_id":"L1-522","layer":"L1","title":"Earthquake Magnitude Classification (PWDR)","domain":"Geophysics","sub_domain":"Earthquake source-parameter inversion with moment-magnitude / Richter-scale categorical readout","physics_fingerprint":{"L_DAG":6.3,"title":"Earthquake Magnitude Classification (PWDR)","domain":"Geophysics","carrier":"elastic_wave","primitives":["L.seismograph_array","L.waveform_acquisition","L.moment_tensor_inversion","L.fault_dimension_estimation","L.magnitude_formula","L.magnitude_threshold_classifier","int.spatial"],"sub_domain":"Earthquake source-parameter inversion with moment-magnitude / Richter-scale categorical readout","noise_model":"gaussian","problem_class":"linear_inverse_with_categorical_readout","solution_space":"1D_magnitude_scale_categorical","difficulty_delta":5,"integration_axis":"spatial_temporal","sensing_mechanism":"seismograph_with_magnitude_classifier"},"observable_profile":{"metric":"categorical_accuracy","regime":"Existence inherited from L1-278. Uniqueness conditional on adequate station coverage (azimuthal gap < 180 degrees) and SNR > 10 dB. Stability dominated by velocity_model_uncertainty (~0.1-0.3 Mw bias) and magnitude_scale_saturation (ML saturates at ~7; Mw is preferred for great earthquakes). Joint Hadamard well-posedness for the source-inversion + magnitude-formula forward established by Hanks-Kanamori 1979 (foundational Mw formula), Richter 1935 (foundational ML), Kanamori 1977 (great-earthquake moment paradox), Aki-Richards 2002 (Quantitative Seismology textbook), Vallee 2013 (SCARDEC moment-tensor algorithm), Duputel et al. 2012 (W-phase moment-tensor inversion for tsunami warning).","secondary":"RMSE_Mw"},"size_tiers":{"center_spec":{"omega":{"SNR_dB":25,"N_stations":30,"sampling_rate_Hz":100,"frequency_band_Hz":[0.01,25],"station_coverage_gap":0.0,"near_field_truncation":0.0,"station_distance_km_range":[0,1000],"magnitude_scale_saturation":0.0,"velocity_model_uncertainty":0.0,"hypocenter_localization_error":0.0,"instrument_response_uncertainty":0.0},"input_format":"multistation_seismogram_with_magnitude_label","problem_class":"earthquake_mw_pwdr","forward_operator":"earthquake_magnitude_pwdr_forward","epsilon_fn_center":"0.85_accuracy"},"omega_bounds":{"SNR_dB":[3,50],"N_stations":[3,500],"sampling_rate_Hz":[20,500],"station_coverage_gap":[0.0,0.6]},"epsilon_bounds":{"categorical_accuracy":[0.5,0.99]},"allowed_problem_classes":["earthquake_mw_pwdr","earthquake_ml_pwdr","earthquake_tsunami_warning_pwdr","earthquake_early_warning_pwdr"],"allowed_omega_dimensions":["N_stations","station_distance_km_range","frequency_band_Hz","sampling_rate_Hz","SNR_dB","station_coverage_gap","near_field_truncation","hypocenter_localization_error","velocity_model_uncertainty","instrument_response_uncertainty","magnitude_scale_saturation"],"allowed_forward_operators":["earthquake_magnitude_pwdr_forward","moment_tensor_pwdr_forward","tsunami_warning_pwdr_forward","earthquake_early_warning_pwdr_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":200,"metric":"categorical_accuracy"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x77766239d0ed2b70cfeaf020e6742d6bf253792347655b5353a3334248508d27","chain_tx_hash":"0x94f5ce0765c0f54904044874b4053d57ca94613587f5e01eafe418156d4880ea","chain_block":41554066}