{"artifact_id":"L1-442","layer":"L1","title":"Implied Volatility Surface Construction","domain":"Computational Finance","sub_domain":"Volatility modeling","physics_fingerprint":{"L_DAG":3.0,"title":"Implied Volatility Surface Construction","domain":"Computational Finance","carrier":"N/A","primitives":["S.interpolation.cubic_spline","N.pointwise","O.svi.calibration"],"sub_domain":"Volatility modeling","noise_model":"market_bid_ask_gaussian","problem_class":"nonlinear_inverse","solution_space":"implied_vol_surface","difficulty_delta":3,"integration_axis":"strike_maturity","sensing_mechanism":"vol_surface_interpolation"},"observable_profile":{"metric":"vol_surface_interpolation_RMSE_bp","regime":"Existence of the recovered implied_vol_surface 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 ~= 30); sparse_data_interpolation_error dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Market bid ask gaussian sets the irreducible data-fidelity floor.","secondary":"arbitrage_violation_count"},"size_tiers":{"center_spec":{"omega":{"N_maturities":8,"data_noise_bp":20,"max_maturity_yr":2.0,"N_strikes_per_slice":10},"input_format":"measurement_only","problem_class":"nonlinear_inverse","forward_operator":"vol_surface_interpolation","epsilon_fn_center":"20 vol_surface_interpolation_RMSE_bp"},"omega_bounds":{"N_maturities":[2,30],"data_noise_bp":[5,200],"max_maturity_yr":[0.1,10.0],"N_strikes_per_slice":[3,50]},"epsilon_bounds":{"vol_surface_interpolation_RMSE_bp":[2,200]},"allowed_problem_classes":["nonlinear_inverse"],"allowed_omega_dimensions":["N_strikes_per_slice","N_maturities","data_noise_bp","max_maturity_yr"],"allowed_forward_operators":["vol_surface_interpolation"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":500,"metric":"vol_surface_interpolation_RMSE_bp"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x125a273084cb4217a85bbc193d8af290fb9f1c6e7074568b39ebd214e019b5b5","chain_tx_hash":"0x36ed7fac1e9710674227a00de53162061e895752829dcb863b82372f7352a737","chain_block":41555259}