pairwise-poisson-algebras / dataset_info.json
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Add neural_algebras split (21 rows, 7 universality classes), expand dimension_sequences (~685 rows), update README with neural network findings (993 rows total)
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{
"description": "Pairwise Poisson Algebras of the N-Body Problem",
"version": "2.0.0",
"splits": {
"dimension_sequences": {
"num_rows": 685,
"num_columns": 21,
"columns": [
"N",
"d",
"potential",
"bracket_type",
"masses",
"charges",
"external_potential",
"max_level",
"dimension_sequence",
"new_per_level",
"is_exact",
"computation_method",
"sympy_version",
"computation_time_s",
"physical_system",
"source_file",
"dim_L0",
"dim_L1",
"dim_L2",
"dim_L3",
"dim_L4"
]
},
"structure_constants": {
"num_rows": 16,
"num_columns": 13,
"columns": [
"potential",
"algebra_dim",
"structure_constants",
"killing_signature",
"is_semisimple",
"is_solvable",
"solvability_length",
"is_nilpotent",
"nilpotency_class",
"center_dimension",
"derived_series",
"lower_central_series",
"source_file"
]
},
"charge_sensitivity": {
"num_rows": 38,
"num_columns": 16,
"columns": [
"experiment_key",
"label",
"charges",
"masses",
"n_samples",
"method",
"d_spatial",
"dimension_sequence",
"dim_L0",
"dim_L1",
"dim_L2",
"dim_L3",
"matches_116",
"physical_system",
"computation_time_s",
"source_file"
]
},
"mass_invariance": {
"num_rows": 33,
"num_columns": 10,
"columns": [
"m3",
"m3_log10",
"level_0_dim",
"level_1_dim",
"level_2_dim",
"level_2_gap_ratio",
"level_2_singular_values",
"dims",
"elapsed_s",
"source_file"
]
},
"level4_convergence": {
"num_rows": 19,
"num_columns": 13,
"columns": [
"config",
"n_samples",
"dimension_sequence",
"new_per_level",
"d4_lower_bound",
"max_gap_ratio",
"max_gap_index",
"elapsed_seconds",
"timestamp",
"mu",
"phi",
"epsilon",
"source_file"
]
},
"spectral_statistics": {
"num_rows": 17,
"num_columns": 10,
"columns": [
"config",
"label",
"source_type",
"n_regions",
"rank_min",
"rank_max",
"rank_mode",
"n_points",
"pct_116",
"source_file"
]
},
"physical_systems": {
"num_rows": 17,
"num_columns": 11,
"columns": [
"system_name",
"system_label",
"category",
"dimension_sequence",
"dim_L0",
"dim_L1",
"dim_L2",
"dim_L3",
"matches_universal",
"completed_at",
"source_file"
]
},
"bell_test": {
"num_rows": 9,
"num_columns": 12,
"columns": [
"stratum",
"variant",
"max_abs_S",
"max_S",
"ci_95_lower",
"ci_95_upper",
"optimal_angles_deg",
"significant_violation",
"n_samples",
"classical_bound",
"tsirelson_bound",
"source_file"
]
},
"scaling_formulas": {
"num_rows": 5,
"num_columns": 11,
"columns": [
"level",
"formula_expression",
"formula_status",
"leading_term",
"new_per_level_formula",
"verified_N_values",
"failed_N_values",
"predictions",
"data_points",
"notes",
"source_file"
]
},
"tier_decomposition": {
"num_rows": 40,
"num_columns": 10,
"columns": [
"N",
"symmetry_group",
"level",
"total_candidates",
"observed_rank",
"irrep_name",
"irrep_dim",
"multiplicity",
"contribution",
"source_file"
]
},
"contextuality": {
"num_rows": 16,
"num_columns": 11,
"columns": [
"N",
"d",
"potential",
"algebra_dim",
"n_commuting_pairs",
"total_pairs",
"commutativity_fraction",
"ks_colorable",
"contextual",
"pm_constructible",
"source_file"
]
},
"convergence_trajectories": {
"num_rows": 77,
"num_columns": 10,
"columns": [
"N",
"d",
"potential",
"level",
"n_samples",
"n_candidates",
"rank",
"gap_ratio",
"elapsed_s",
"source_file"
]
},
"neural_algebras": {
"num_rows": 21,
"num_columns": 20,
"columns": [
"n_layers",
"width",
"activation",
"loss_function",
"coupling_type",
"max_level",
"dimension_sequence",
"new_per_level",
"dim_L0",
"dim_L1",
"dim_L2",
"dim_L3",
"matches_physical_116",
"universality_class_L3",
"n_generators",
"stabilized",
"is_exact",
"computation_method",
"computation_time_s",
"source_file"
]
}
}
}