{ "embedding_params": { "feature_scale": 1.0, "sampling_density_per_feature": 15.52470418080538, "noise_ratio": 0.047186571418684285 }, "embedding_dimension": 2, "requested_embedding_dimension": 2, "feature_thickness_ratio": 0.45633290112669334, "feature_thickness_budget": 0.45633290112669334, "tube_sampling_mode": "solid", "num_components": 2, "component_gap_ratio": 4.61203927136264, "component_node_ids": [ [ 0 ], [ 1, 2, 3 ] ], "component_x_intervals": [ [ 0.0, 0.0 ], [ 4.61203927136264, 6.446675433172469 ] ], "component_topology_classes": [ "singleton", "tree" ], "crowding_r": 0.08988331123284406, "crowding_gamma": 0.9110155218794844, "crowding_gamma_min": 0.01, "crowding_admissibility_epsilon_sep": 2.145548720757389, "thickness_aware_min_required_clearance": 0.02, "thickness_crowding_order": "choose_tube_radius_then_apply_thickness_aware_crowding", "realized_post_crowding_min_nonadjacent_node_distance": 4.6716291538491665, "realized_post_crowding_min_nonincident_edge_distance": Infinity, "realized_post_crowding_min_nonincident_node_edge_distance": 4.6716291538491665, "realized_post_crowding_min_structural_distance": 4.6716291538491665, "realized_post_crowding_separation_to_feature_scale": 4.6716291538491665, "realized_post_crowding_separation_to_post_median_edge": 4.742579058055091, "realized_post_crowding_absolute_hardness": 0.21405808703288334, "minimum_realized_component_gap": 4.61203927136264, "feature_thickness_radius": 1.0627743603786945, "effective_max_tube_radius_for_sampling": 2.328945289184031, "cycle_hole_radius_cap": Infinity, "cycle_hole_radius_fraction": 0.2, "crowding_applied": true, "crowding_isotropy_epsilon": 0.05, "crowding_axis": [ -0.9991083895914787, 0.04221878548610732 ], "crowding_centroid": [ 4.155889627870736, -0.31452794639467974 ], "crowding_covariance_eigenvalues": [ 6.188939096900889, 0.0997928300188885 ], "crowding_covariance_matrix": [ [ 6.178085645203021, -0.2568471480766304 ], [ -0.2568471480766304, 0.11064628171675639 ] ], "crowding_isotropic_fallback_used": false, "crowding_linear_operator": [ [ 0.9998413917661342, -0.00375346697658571 ], [ -0.00375346697658571, 0.9111741301133502 ] ], "crowding_model_dimension": 2, "feature_scale_nominal": 1.0, "feature_scale_pre_crowding": 1.0014371444826375, "feature_scale_post_crowding_median_edge": 0.9850398056969829, "pre_crowding_edge_length_summary": { "min": 1.0007917387047773, "median": 1.0014371444826375, "mean": 1.0014371444826375, "max": 1.0020825502604978 }, "post_crowding_edge_length_summary": { "min": 0.979518985329091, "median": 0.9850398056969829, "mean": 0.9850398056969829, "max": 0.9905606260648748 }, "pre_crowding_min_nonadjacent_node_distance": 4.6778905783680615, "pre_crowding_min_nonincident_edge_distance": Infinity, "pre_crowding_min_nonincident_node_edge_distance": 4.6778905783680615, "crowding_gamma_min_search_tolerance": 0.005, "crowding_gamma_min_search_history": [ { "gamma": 0.01, "admissible": true, "realized_separation_ratio": 4.634291989817453 }, { "gamma": 1.0, "admissible": true, "realized_separation_ratio": 4.671177421509318 } ], "crowding_gamma_min_search_iterations": 2, "crowding_gamma_min_search_bracket": [ 0.01, 1.0 ], "crowding_relative_budget_definition": "gamma = 1 - r * (1 - gamma_min)", "requested_noise_ratio": 0.047186571418684285, "realized_noise_ratio": 0.047186571418684285, "max_admissible_noise_ratio_after_crowding": 0.42101340551529626, "requested_crowding_r": 0.08988331123284406, "realized_crowding_r": 0.08988331123284406, "staged_generation_order": "topology -> max-separation embedding -> admissible thickness -> thickness-constrained crowding -> clearance-capped noise -> sampling", "tube_no_overlap_required_centerline_clearance": 2.3342950064321264, "tube_no_overlap_post_crowding_margin": 2.33733414741704, "tube_no_overlap_satisfied": true, "tube_no_overlap_constraint_active": true, "max_admissible_tube_radius_after_crowding": 2.231441434087215, "realized_tube_radius_budget_fraction": 0.47627257616708596, "point_cloud_params": { "feature_scale": 1.0, "sampling_density_per_feature": 15.52470418080538, "noise_ratio": 0.047186571418684285, "sigma": 0.047186571418684285, "embedding_dimension": 2, "include_node_points": true, "include_junction_points": true, "node_tube_sampling_policy": "edge_tubes_only_except_isolated_nodes", "min_points_per_edge": 2, "density_jitter_ratio_range": [ 0.0, 0.15 ], "endpoint_sampling_mode": "include", "feature_thickness_ratio": 1.0627743603786945, "feature_thickness_radius": 1.0627743603786945, "tube_sampling_mode": "solid" }, "num_clean_points": 181, "num_edge_sampled_points": 130, "num_node_sampled_points": 51, "point_component_id": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], "component_point_ids": [ [ 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177 ], [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 178, 179, 180 ] ], "nearest_feature_changed_rate": 0.055248618784530384, "nonincident_feature_confusion_rate": 0.016574585635359115, "cross_component_confusion_rate": 0.0, "noise_overlap_quality_pass": true, "noise_overlap_quality_thresholds": { "nonincident_feature_confusion_rate": 0.12, "cross_component_confusion_rate": 0.03 }, "num_points_evaluated_for_noise_confusion": 181, "num_nearest_feature_changes": 10, "num_nonincident_feature_confusions": 3, "num_cross_component_confusions": 0, "sample_id": 19, "difficulty": "full", "difficulty_coordinate": { "noise_ratio": 0.047186571418684285, "crowding_r": 0.08988331123284406, "sampling_density_per_feature": 15.52470418080538, "feature_thickness_ratio": 0.45633290112669334, "num_components": 2, "requested_embedding_dimension": 2 }, "realized_geometry": { "realized_separation_to_feature_scale": 4.6716291538491665, "realized_absolute_hardness": 0.21405808703288334, "crowding_gamma": 0.9110155218794844, "crowding_gamma_min": 0.01, "feature_thickness_radius": 1.0627743603786945, "feature_thickness_budget": 0.45633290112669334, "effective_max_tube_radius_for_sampling": 2.328945289184031, "max_admissible_tube_radius_before_crowding": 2.328945289184031, "cycle_hole_radius_cap": Infinity, "cycle_hole_radius_fraction": 0.2, "requested_noise_ratio": 0.047186571418684285, "realized_noise_ratio": 0.047186571418684285, "max_admissible_noise_ratio_after_crowding": 0.42101340551529626, "requested_crowding_r": 0.08988331123284406, "realized_crowding_r": 0.08988331123284406, "thickness_aware_min_required_clearance": 2.145548720757389, "thickness_clearance_noise_margin": 0.18874628567473714, "minimum_realized_component_gap": 4.61203927136264 }, "graph_summary": { "num_nodes": 4, "num_edges": 2, "num_components": 2, "num_clean_points": 181, "topology_classes": [ "singleton", "tree" ] }, "seed_bundle": { "point_cloud_seed": 359069815, "component_seed_bundles": [ { "topology_seed": 270431355, "branch_seed": 241776909, "embedding_seed": 286364865, "topology_class": "singleton" }, { "topology_seed": 544702228, "branch_seed": 848843195, "embedding_seed": 796753251, "topology_class": "tree" } ] }, "scheduled_normalized_axes": { "noise_ratio": 0.15103650788157935, "crowding_r": 0.14980551872140677, "sampling_density_per_feature": 0.4407114334509126, "feature_thickness_ratio": 0.011514365684896957 }, "scheduled_vector_magnitude": 0.2447513372506552, "scheduled_sample_rank": 19, "actual_normalized_axes": { "noise_ratio": 0.15103650788157935, "crowding_r": 0.14980551872140677, "sampling_density_per_feature": 0.4407114334509126, "feature_thickness_ratio": 0.011514365684896957 }, "actual_difficulty_coordinate": [ 0.047186571418684285, 0.08988331123284406, 15.52470418080538, 0.45633290112669334 ], "difficulty_relaxation_factor": 1.0 }