ToricGT GUDHI Persistence Audit
Exact simplex-tree persistent homology, vectorized PH metrics, simplicial maps by radius, and Macaulay2 F2[x_level,y_radius] resolutions for reasoning trajectories.
Summary
schematoricgt.gudhi_persistence.summary.v1
backendgudhi
records3
mean_points12
mean_num_simplices114.333
mean_betti01
mean_betti10
mean_h0_landscape_norm180.694
mean_h1_landscape_norm7.31431
mean_h1_persistence_image_norm33.2152
mean_two_parameter_commutative_square_residual0
mean_macaulay2_homogeneous_d11
mean_macaulay2_homogeneous_d21
mean_macaulay2_d_squared_zero1
mean_macaulay2_identity_cone_acyclic1
mean_finite_field_d_squared_zero1
mean_finite_field_exact_at_c11
mean_be_rank_residual_c10
mean_simplicial_map_valid_fraction1
mean_h0_interval_count11
mean_h0_total_persistence247.218
mean_h0_max_persistence28.007
mean_h0_mean_persistence22.4743
mean_h0_persistence_entropy0.98626
mean_h0_persistence_image_norm139.275
mean_h0_silhouette_norm66.0515
mean_h0_entropy_vector_norm0.131012
mean_h1_interval_count2
mean_h1_total_persistence3.88098
mean_h1_max_persistence2.07667
mean_h1_mean_persistence1.34111
mean_h1_persistence_entropy0.60154
mean_h1_silhouette_norm3.47678
mean_h1_entropy_vector_norm0.0866619
mean_h2_interval_count0
mean_h2_total_persistence0
mean_h2_max_persistence0
mean_h2_mean_persistence0
mean_h2_persistence_entropy0
mean_h2_landscape_norm0
mean_h2_persistence_image_norm0
mean_h2_silhouette_norm0
mean_h2_entropy_vector_norm0
config{'max_points': 12, 'max_dimension': 2, 'radius_quantile': 0.62, 'num_radii': 5, 'num_levels': 5, 'macaulay2_resolutions': True, 'ph_feature_visualizations': True}
ph_feature_artifacts({'record_id': 'fineweb_tokengt_position_bucket_emb_weight', 'json': 'ph_features/fineweb_tokengt_position_bucket_emb_weight_ph_features.json', 'npz': 'ph_features/fineweb_tokengt_position_bucket_emb_weight_ph_features.npz'}, {'record_id': 'tok_emb_weight', 'json': 'ph_features/tok_emb_weight_ph_features.json', 'npz': 'ph_features/tok_emb_weight_ph_features.npz'}, {'record_id': 'fineweb_tokengt_edge_source_class_emb_weight', 'json': 'ph_features/fineweb_tokengt_edge_source_class_emb_weight_ph_features.json', 'npz': 'ph_features/fineweb_tokengt_edge_source_class_emb_weight_ph_features.npz'})
fineweb_tokengt_position_bucket_emb_weight
Exact GUDHI/Macaulay2 reasoning-radius persistence audit.
M2 d1*d2=0: PASShomogeneous: PASSsquare residual: PASS
simplices108
Betti{'0': 1, '1': 0, '2': 25}
H1 landscape norm11.9349
H1 image norm27.2356
H1 silhouette norm3.57744
H1 entropy-vector norm0.131548
GF(2) exact at C1True
simplicial-map validity1
tok_emb_weight
Exact GUDHI/Macaulay2 reasoning-radius persistence audit.
M2 d1*d2=0: PASShomogeneous: PASSsquare residual: PASS
simplices122
Betti{'0': 1, '1': 0, '2': 39}
H1 landscape norm0
H1 image norm0
H1 silhouette norm0
H1 entropy-vector norm0
GF(2) exact at C1True
simplicial-map validity1
fineweb_tokengt_edge_source_class_emb_weight
Exact GUDHI/Macaulay2 reasoning-radius persistence audit.
M2 d1*d2=0: PASShomogeneous: PASSsquare residual: PASS
simplices113
Betti{'0': 1, '1': 0, '2': 30}
H1 landscape norm10.008
H1 image norm72.4099
H1 silhouette norm6.85289
H1 entropy-vector norm0.128437
GF(2) exact at C1True
simplicial-map validity1