{"artifact_id":"L1-427","layer":"L1","title":"Kalman Filter State Estimation","domain":"Control Theory","sub_domain":"Optimal estimation","physics_fingerprint":{"L_DAG":2.8,"title":"Kalman Filter State Estimation","domain":"Control Theory","carrier":"N/A","primitives":["S.kalman.predict_update","E.eigensolve","O.innov.sequence_whiteness"],"sub_domain":"Optimal estimation","noise_model":"gaussian","problem_class":"parameter_estimation","solution_space":"state_estimate_covariance","difficulty_delta":3,"integration_axis":"discrete_time","sensing_mechanism":"linear_optimal_state_estimation"},"observable_profile":{"metric":"NEES_normalized_estimation_error_squared","regime":"Existence of the recovered state_estimate_covariance is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 20); Q_R_mismatch dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor.","secondary":"NIS_normalized_innovation_squared"},"size_tiers":{"center_spec":{"omega":{"Q_R_ratio":1.0,"p_obs_dim":2,"n_state_dim":4,"N_time_steps":100},"input_format":"measurement_only","problem_class":"parameter_estimation","forward_operator":"linear_optimal_state_estimation","epsilon_fn_center":"1.05 NEES_normalized_estimation_error_squared"},"omega_bounds":{"Q_R_ratio":[0.01,100],"p_obs_dim":[1,10],"n_state_dim":[1,20],"N_time_steps":[10,10000]},"epsilon_bounds":{"NEES_normalized_estimation_error_squared":[0.5,3.0]},"allowed_problem_classes":["parameter_estimation"],"allowed_omega_dimensions":["n_state_dim","p_obs_dim","Q_R_ratio","N_time_steps"],"allowed_forward_operators":["linear_optimal_state_estimation"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":500,"metric":"NEES_normalized_estimation_error_squared"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xf5cd46a31ed61e959fa019a451146c1450dd7a58403e6fee6bd587f387f79ab5","chain_tx_hash":"0x11d69e8fba7258e0d52bb6102493e3eedc3ff24fac63196e993c1f646f3780a4","chain_block":41555240}