{"artifact_id":"L1-430","layer":"L1","title":"Particle Filter (Sequential Monte Carlo)","domain":"Control Theory","sub_domain":"Particle filtering","physics_fingerprint":{"L_DAG":3.5,"title":"Particle Filter (Sequential Monte Carlo)","domain":"Control Theory","carrier":"N/A","primitives":["S.pf.importance_sampling","O.regularize","O.ess.effective_sample_size"],"sub_domain":"Particle filtering","noise_model":"non_gaussian","problem_class":"nonlinear_inverse","solution_space":"particle_distribution","difficulty_delta":5,"integration_axis":"discrete_time","sensing_mechanism":"sequential_monte_carlo_estimation"},"observable_profile":{"metric":"RMSE_state_particle_filter","regime":"Existence of the recovered particle_distribution 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 ~= 200); particle_impoverishment dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Non gaussian sets the irreducible data-fidelity floor.","secondary":"effective_sample_size_ESS"},"size_tiers":{"center_spec":{"omega":{"N_particles":1000,"n_state_dim":4,"N_time_steps":100,"nonlinearity_degree":1.5},"input_format":"measurement_only","problem_class":"nonlinear_inverse","forward_operator":"sequential_monte_carlo_estimation","epsilon_fn_center":"0.15 RMSE_state_particle_filter"},"omega_bounds":{"N_particles":[100,100000],"n_state_dim":[1,20],"N_time_steps":[10,1000],"nonlinearity_degree":[0.5,5.0]},"epsilon_bounds":{"RMSE_state_particle_filter":[0.02,0.5]},"allowed_problem_classes":["nonlinear_inverse"],"allowed_omega_dimensions":["N_particles","n_state_dim","nonlinearity_degree","N_time_steps"],"allowed_forward_operators":["sequential_monte_carlo_estimation"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":5000,"metric":"RMSE_state_particle_filter"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x337199767be602e792232154c65bbdb7fd49cfa09311d427d20322790539e8e5","chain_tx_hash":"0x6093ffa085a046fed0a4b9b7d2b99ff23c5144cb3aaa2dd2c9fdfdaf670c39ff","chain_block":41555240}