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Resonant Fractal Nature Theory — a mathematical framework for coherent patterns on graph-coupled networks.

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© 2026 TNFR project — MIT licensed.DOI 10.5281/zenodo.17602860
docs
grammar
PHYSICS_VERIFICATION.md
API_CONTRACTS.mdCANONICAL_OZ_SEQUENCES.mdEMPIRICAL_CONFRONTATION_EEG.mdREADME.mdSTRUCTURAL_FIELDS_TETRAD.mdSTRUCTURAL_INTERFACE_THEORY.md
theory
APPLIED_STRUCTURAL_ANALYSIS.mdCATALOG_TYPE_HYGIENE_PROGRAMME.mdDISSIPATIVE_AND_OPEN_SYSTEMS.mdEMERGENT_ONTOLOGY.mdEXTENDED_FIELDS_AND_DERIVED_QUANTITIES.mdFUNDAMENTAL_THEORY.mdGAUGE_SYMMETRY_AND_UNIFICATION.mdGLOSSARY.mdMATHEMATICAL_DYNAMICS_BASIS.mdMINIMAL_STRUCTURAL_DEGREES.mdNUCLEUS_A_PRIME_LADDER_ATLAS.mdNUCLEUS_B_EQUIVARIANCE_OBSTRUCTIONS.mdPHYSICAL_REGIME_CORRESPONDENCES.mdREADME.mdREMESH_INFINITY_DERIVATION.mdSTRUCTURAL_CONSERVATION_THEOREM.mdSTRUCTURAL_OPERATORS.mdSTRUCTURAL_STABILITY_AND_DYNAMICS.mdTNFR_BSD_RESEARCH_NOTES.mdTNFR_HODGE_RESEARCH_NOTES.mdTNFR_NAVIER_STOKES_RESEARCH_NOTES.mdTNFR_NUMBER_THEORY.mdTNFR_P_VS_NP_RESEARCH_NOTES.mdTNFR_RIEMANN_RESEARCH_NOTES.mdTNFR_VARIATIONAL_PRINCIPLE.mdTNFR_YANG_MILLS_RESEARCH_NOTES.mdTNFR.pdfUNIFIED_GRAMMAR_RULES.md
factorization-lab
analysis
analyze_patterns.pycertificate_manifest.py
benchmarks
benchmark_analysis.pybenchmark_expansion_suite.pyfull_spectrum_factorization.pypaley_gap_extended.pypaley_gap_smoke.pytest_benchmark_suite.py
demos
experiment_contexts
exp_0b1663cd19b7.jsonexp_0bf0054b7474.jsonexp_75a4c8ca616a.jsonexp_848ee0fd1857.jsonexp_f6fe00562193.jsonexp_fdf3da424e1e.json
failure_telemetry_batch.pyfeedback_integration_demo.pyintegration_demo_snapshots.dbseed_management_integration_demo.pysnapshot_integration_demo.pytrajectory_143.jsontrajectory_77.jsontrajectory_89.jsontrajectory_91.jsontrajectory_97.json
docs
FACTORING_PLAYBOOK.mdFALSE_POSITIVE_TEST_SUITE.mdOPERATOR_CERTIFICATES.mdROADMAP.mdSPECTRAL_ROUTE.md
experiment_contexts
exp_cebe1d9e7d8e.json
notebooks
spectral_history.ipynb
scripts
run_false_positive_tests.py
tests
run_false_positive_test_suite.pytest_cli.pytest_false_positive_methodology.pytest_false_positive_verifier.pytest_feedback_integration.pytest_partitioning.pytest_seed_management.pytest_self_opt_support.pytest_snapshot_system.pytest_spectral_paley.pytest_verification_robustness.py
tnfr_factorization
__init__.pyapi.pycli.pyfailure_telemetry.pyfeedback_adapter.pyfeedback_integration.pypartitioning.pyself_opt_support.pyspectral_paley.py
demo_snapshots.dbLICENSE_SNAPSHOT.mdPACKAGE_SUMMARY.mdREADME.mdseed_management.pysnapshot_system.pytest_certificate_hashing.pytest_installation.pyverification_trajectory_77.json
benchmarks
analyze_tetrad_universality.pyb0star_alpha_canonical_product_graphs.pybenchmark_optimization_tracks.pybenchmark_utils.pyboundary_vibration.pybridge_primes_riemann.pychiral_involution.pycli_utils.pycoherence_projector_sense_index.pycommutant_bridge.pycomposition_arithmetic.pyconfinement_zones_test.pyconservation_law_validation.pydirected_paley_bridge.pyemergent_arithmetic_pulse.pyemergent_atom_dynamics.pyemergent_atomic_shells.pyemergent_base_dimension.pyemergent_dimension_dynamics.pyemergent_fractal_pulse.pyemergent_fractal_simplex_dimension.pyemergent_integers_symmetry.pyemergent_musical_nfr.pyemergent_nfr_geometry.pyemergent_nfr_where.pyemergent_rationals.pyemergent_rhythm.pyemergent_screening.pyemergent_shell_cardinals.pyemergent_shell_ordering.pyemergent_simplex_dimension.pyemergent_substrate_symmetry.pyequivariance_wall.pyexternal_phase_gate_validation.pyfield_methods_battery.pygolden_residue_remesh_bridge.pyintegrated_force_regime_study.pyinverse_spectrum_to_symmetry.pyk_phi_safety_demo.pykuramoto_farey_bridge.pymissing_piece_bridge.pymultichannel_interface_benchmark.pynavier_stokes_recipe_bridge.pynodal_propagator_residue_bridge.pyns_moment_hierarchy_cascade.pyoperational_irreducibility.pypaley_bridge.pyphase_curvature_investigation.pyphase_wall.pyphi_s_confinement_investigation.pyprimes_as_consequence.pypulse_phase_coherence_budget.pyREADME.mdremesh_infinity_riemann_baseline.pyremesh_infinity_riemann_composed.pyremesh_infinity_riemann_modified_graph.pyremesh_infinity_riemann_operator.pyremesh_infinity_riemann_spectral_basis.pyremesh_infinity_riemann_spectral_robustness.pyremesh_infinity_riemann_spectral.pyresidue_phase_vs_riemann.pystructural_interface_benchmark.pytemporal_interface_benchmark.pytetrad_results_aggregate.pyu2_destabilization_irreversibility.pyuniversality_clusters.pyxi_c_fast_experiment.py
primality-test
benchmarks
comprehensive_benchmark.py
docs
ADVANCED_INTEGRATION.mdmathematical_foundation.mdperformance_analysis.md
examples
advanced_examples.pybasic_usage.py
tnfr_primality
__init__.py__main__.pyadvanced_cli.pyadvanced_core.pycli.pyconstants.pycore.pyoptimized.py
MANIFEST.inPACKAGE_SUMMARY.mdREADME.mdRELEASE_NOTES_v1.0.mdsetup.pytest_installation.py
tests
core_physics
__init__.pytest_conservation_laws.pytest_delta_nfr_computation_paths.pytest_delta_nfr.pytest_dispersion_coherence_sign_invariance.pytest_emergent_constants_guard.pytest_lyapunov_operators.pytest_nodal_equation.pytest_structural_triad.py
data
replay_manifests
sample_run
_manifest_summary.json_manifest.json_partition_files.txt.gz
self_opt_validation
seed_alpha
paley.json
seed_beta
integration.json
seed_gamma
unknown.json
self_optimization
test_run
partitioned
test_run
test_run_p0.jsontest_run_p1.json
_manifest_summary.json_manifest.json
engines
test_pattern_discovery_manifest.pytest_self_optimization_engine.py
mathematics
__init__.pytest_autodiff.pytest_backends.pytest_dissipative_dynamics.pytest_epi.pytest_factory_patterns.pytest_metrics.pytest_navier_stokes_refounded.pytest_number_theory_canonical.pytest_operators.pytest_residue_networks.pytest_riemann_nodal_pulse.pytest_riemann_pulse_coherence.pytest_spaces.pytest_transforms.pytest_validator.py
operators
test_canonical_operators_modern.pytest_grammar_canon.pytest_grammar_canonical_consistency.pytest_grammar_dynamics.pytest_operator_contracts.pytest_operator_strategies.py
parallel
test_fractal_partition_manifest.py
physics
test_conservation_gauge_unification.pytest_dissipative_conservation.pytest_emergent_chemistry.pytest_field_cache_invalidation.pytest_gauge.pytest_phase_transition.pytest_signatures.pytest_spectral_conservation.pytest_structural_diffusion.pytest_structural_integrity.pytest_symplectic_substrate.pytest_tetrad_bounds.pytest_variational.pytest_yang_mills_closure.pytest_yang_mills_derivability.pytest_yang_mills_scaling.pytest_yang_mills_structural_gap.pytest_yang_mills_u6_sweep.py
scripts
test_run_self_opt_validation.pytest_run_self_optimization.py
sdk
__init__.pytest_simple_advanced.py
__init__.pyconftest.pyREADME.mdtest_breast_cancer_phase_gate_demo.pytest_classical_mechanics.pytest_distributed_fft.pytest_external_phase_gate_validation.pytest_factorization_entrypoint.pytest_multichannel_interface.pytest_nodal_optimizer.pytest_phase_gate_api.pytest_replay_register_manifest.pytest_signal_confrontation.pytest_structural_interface_api.pytest_structural_interface_baselines.pytest_structural_interface_benchmark.pytest_temporal_interface.pytest_vectorized_coherence_length_regression.pytest_wine_quality_phase_gate_demo.pyutils.py
examples
01_foundations
01_hello_world.py02_musical_resonance.py03_network_formation.py04_operator_sequences.py05_coherence_evolution.py06_network_topologies.py07_phase_transitions.py08_emergent_phenomena.py09_visualization_suite.py10_simplified_sdk_showcase.py
02_physics_regimes
11_classical_limit_comparison.py115_operator_contract_audit.py12_classical_mechanics_demo.py13_quantum_mechanics_demo.py14_uncertainty_and_interference.py15_train_crossing_demo.py17_conservation_law_demo.py26_gauge_structure_demo.py27_variational_principle_demo.py28_dissipative_systems_demo.py29_lyapunov_stability_demo.py30_self_optimization_demo.py31_mathematical_constants_basis.py33_complex_field_unification.py34_conservation_protocol_suite.py35_tetrad_irreducibility.py36_grammar_violation_detector.py37_operator_tetrad_synergy.py38_grammar_energy_landscape.py39_nodal_equation_decomposition.py
03_riemann_zeta
157_nodal_pulse_phase_attack.py41_von_mangoldt_zeta_demo.py42_riemann_zeros_as_resonances.py43_prime_ladder_hamiltonian_demo.py44_weil_explicit_formula_demo.py45_li_keiper_demo.py46_weil_tnfr_positivity_demo.py47_alpha_sweep_demo.py48_admissible_family_sweep_demo.py49_nodeaware_gauge_sweep_demo.py50_uniform_coercivity_demo.py51_adaptive_coercivity_demo.py52_paley_gap_coercivity_demo.py53_lyapunov_spectral_positivity_demo.py54_hilbert_polya_demo.py55_structural_zero_density_demo.py56_spectral_emergence_demo.py57_admissible_rescaling_demo.py58_oscillatory_correction_demo.py
04_riemann_L_twisted
59_dirichlet_l_function_demo.py60_dirichlet_l_continuation_demo.py61_dirichlet_l_hamiltonian_demo.py62_dirichlet_weil_explicit_formula_demo.py63_dirichlet_li_keiper_demo.py64_twisted_weil_positivity_demo.py65_twisted_alpha_sweep_demo.py66_twisted_admissible_family_sweep_demo.py67_twisted_nodeaware_gauge_sweep_demo.py68_twisted_hermite_family_demo.py69_twisted_coercivity_uniform_demo.py70_twisted_paley_gap_coercivity_demo.py71_twisted_lyapunov_spectral_demo.py72_twisted_hilbert_polya_demo.py73_twisted_structural_zero_density_demo.py74_twisted_spectral_emergence_demo.py75_twisted_admissible_rescaling_demo.py76_twisted_oscillatory_correction_demo.py
05_type_hygiene
77_remesh_infinity_residue_split_demo.py78_nuf_type_signature_demo.py79_epi_type_signature_demo.py80_phi_type_signature_demo.py81_dnfr_type_signature_demo.py82_remesh_window_type_signature_demo.py83_delta_phi_max_type_signature_demo.py84_coupling_weights_type_signature_demo.py85_tetrad_closure_signature_demo.py86_currents_closure_signature_demo.py87_aggregates_closure_signature_demo.py88_urules_consistency_signature_demo.py89_operator_catalog_discipline_signature_demo.py
06_navier_stokes
158_navier_stokes_two_face_refounded.py
07_number_theory
100_prime_families_orbits.py101_numbers_as_coupled_network.py102_nodal_flow_primes_equilibria.py116_nuf_emergent_prime_visibility.py146_primality_grammatical_inertness.py147_numbers_as_free_monoid_words.py148_capacity_arm_carries_von_mangoldt.py149_p14_is_the_capacity_arm_operator.py153_structural_frequency_rank_cyclotomy.py40_arithmetic_number_theory.py94_generative_number_construction.py95_primes_from_spectral_waves.py96_spectral_vibration_of_coherence.py97_goldbach_additive_multiplicative.pyemergent_chemistry_particles_demo.py
08_emergent_geometry
103_emergent_substrate_meets_riemann.py106_per_node_polarization_geometry.py107_orthogonal_structure_emergent_geometry.py108_emergent_field_generating_structure.py112_structure_predicts_coherence_flow.py113_overdamped_projection_bridge.py114_substrate_conserved_quantities.py117_emergent_geometry_residue_graph.py118_emergent_vs_classical_operator.py119_phase_sector_directed_residue.py120_symmetry_wall_substrate_vs_spectrum.py121_canonical_symmetry_break_negative.py122_factorization_phase_sector.py123_symmetry_sector_decomposition.py124_emergent_metric_fractal_consistency.py125_node_is_the_emergent_substrate.py126_two_layers_base_fiber.py127_base_is_emergent_not_imposed.py128_base_substrate_coemergence.py129_spectral_gap_base_fiber_clock.py130_operators_break_substrate_charges.py131_coemergent_loop_convergence.py132_geometric_phase_holonomy.py133_psi_topological_defects.py134_spectral_dimension_heat_kernel.py135_arrow_of_time_h_theorem.py136_heat_kernel_coefficients.py137_synchronization_transition.py138_structure_frequency_synchronization.py139_grammar_formal_language.py140_grammar_automaton.py141_grammar_rule_decomposition.py142_grammar_operator_quotient.py143_glyphic_function_sublanguage.py144_branching_combinator.py145_syntactic_monoid_starfree.py150_emergent_grammatical_pattern_parry.py151_grammar_in_emergent_geometry.py152_operator_contract_tetrahedron.py154_conductor_annotated_qr_spectrum.py155_ontological_position_of_numbers.py156_emergence_directness_law.py98_emergent_symplectic_substrate.py99_structural_diffusion.pyunified_fields_showcase.py
09_millennium
109_p_vs_np_coherence_synthesis.py110_bsd_rank_structural_pressure.py111_hodge_discrete_and_honest_gap.py
10_applications
159_empirical_confrontation_pipeline.py90_phase_gate_monitor_demo.py91_breast_cancer_phase_gate_demo.py92_wine_quality_phase_gate_demo.py93_structural_interface_demo.pypytorch_cuda_demo.py
README.md
scripts
replay
__init__.pyregister_manifest.py
__init__.pyREADME.mdrebuild_failure_manifest.pyrun_reproducible_benchmarks.pyrun_self_opt_validation.pyrun_self_optimization.pytnfr_is_prime.pyvalidate_conservation_law.pyverify_internal_references.py
src
core
__init__.pyevaluation.py
tnfr
backends
__init__.pyjax_backend.pynumpy_backend.pyoptimized_numpy.pyREADME.mdtorch_backend.py
cli
__init__.py__init__.pyiarguments.pyarguments.pyiexecution.pyexecution.pyiinteractive_validator.pyREADME.mdutils.pyutils.pyi
compat
__init__.pydataclass.pyjsonschema_stub.pymatplotlib_stub.pynumpy_stub.pyREADME.md
config
__init__.py__init__.pyiconstants.pyconstants.pyidefaults_core.pydefaults_init.pydefaults_metric.pydefaults.pyfeature_flags.pyfeature_flags.pyiglyph_constants.pyoperator_names.pyoperator_names.pyiphysics_derivation.pyprecision_modes.pypresets.pypresets.pyiREADME.mdsecurity.pythresholds.pytnfr_config.py
constants
__init__.py__init__.pyialiases.pyaliases.pyicanonical.pymetric.pymetric.pyioperational.py
core
__init__.pycontainer.pydefault_implementations.pyexceptions.pyinterfaces.pyREADME.md
dynamics
__init__.py__init__.pyiadaptation.pyadaptation.pyiadaptive_sequences.pyadaptive_sequences.pyiadelic.pyadvanced_cache_optimizer.pyadvanced_fft_arithmetic.pyaliases.pyaliases.pyibifurcation.pycache_aware_fft_engine.pycanonical.pycanonical.pyicomputational_hub.pycoordination.pycoordination.pyidistributed_fft.pydnfr.pydnfr.pyidynamic_limits.pyemergent_centralization.pyemergent_integration_engine.pyfeedback.pyfeedback.pyifft_backend.pyfft_cache_coordinator.pyfft_dispatchers.pyfft_engine.pyfft_workers.pyfused_dnfr.pyhomeostasis.pyhomeostasis.pyiintegrators.pyintegrators.pyilearning.pylearning.pyimetabolism.pymulti_modal_cache.pynbody_tnfr.pynbody.pynodal_optimizer.pyoptimization_orchestrator.pypropagation.pyREADME.mdruntime.pyruntime.pyisampling.pysampling.pyiselectors.pyselectors.pyiself_optimizing_engine.pyspectral_structural_fusion.pystructural_cache.pystructural_clip.pysymplectic.pyunified_backend.pyunified_mathematical_cache_orchestrator.py
engines
computation
__init__.pyfft_engine.pyunified_fft_engine.pyunified_gpu_system.py
constants
__init__.pycanonical.pyoperational.py
integration
__init__.pyemergent_integration.py
pattern_discovery
__init__.pymathematical_patterns.pymulti_modal_cache.py
self_optimization
__init__.pyengine.py
__init__.pyREADME.md
errors
__init__.pycontextual.py
factorization
__init__.py
flatten
README.md
gamma
README.md
glyph_history
README.md
glyph_runtime
README.md
immutable
README.md
initialization
README.md
io
README.md
math
__init__.pyfields_symbolic.pygrammar_validators.pyoptimizer.pyREADME.mdsymbolic.py
mathematics
__init__.pybackend.pybackend.pyidynamics.pydynamics.pyiepi.pyepi.pyigenerators.pygenerators.pyiliouville.pymetrics.pymetrics.pyinumber_theory.pyoperators_factory.pyoperators_factory.pyioperators.pyoperators.pyioptimized_primality.pyprojection.pyprojection.pyiREADME.mdruntime.pyruntime.pyispaces.pyspaces.pyispectral.pytransforms.pytransforms.pyiunified_cache.pyunified_numerical.pyzeta.py
metrics
__init__.py__init__.pyibuffer_cache.pybuffer_cache.pyicache_utils.pycoherence.pycoherence.pyicommon.pycommon.pyicore.pycore.pyidiagnosis.pydiagnosis.pyiemergence.pyexport.pyexport.pyiglyph_timing.pyglyph_timing.pyilearning_metrics.pylearning_metrics.pyilocal_coherence.pyphase_coherence.pyphase_compatibility.pyREADME.mdreporting.pyreporting.pyisense_index.pysense_index.pyitelemetry.pytetrad.pytrig_cache.pytrig_cache.pyitrig.pytrig.pyi
multiscale
__init__.pyhierarchical.pyREADME.md
navier_stokes
__init__.pyconservative_face.pyoperator.py
node
README.md
observers
README.md
operators
network_analysis
__init__.pysource_detection.py
postconditions
__init__.pymutation.py
preconditions
__init__.pycoherence.pydissonance.pyemission.pymutation.pyreception.pyresonance.py
strategies
__init__.pydefaults.pygpu_strategies.pystrategy.py
__init__.py__init__.pyialgebra.pycanonical_patterns.pycascade.pycoherence.pycontraction.pycoupling.pycycle_detection.pydefinitions_base.pydefinitions.pydefinitions.pyidissonance.pyemission.pyexpansion.pygrammar_application.pygrammar_canon.pygrammar_context.pygrammar_core.pygrammar_dynamics.pygrammar_error_factory.pygrammar_memoization.pygrammar_patterns.pygrammar_telemetry.pygrammar_types.pygrammar_u6.pygrammar_validate.pygrammar.pygrammar.pyihamiltonian.pyhealth_analyzer.pyintrospection.pyjitter.pyjitter.pyilifecycle.pymetabolism.pymetrics_basic.pymetrics_core.pymetrics_network.pymetrics_structural.pymetrics_u6.pymetrics.pymutation.pynodal_equation.pyoperator_contracts.pypattern_detection.pypatterns.pyREADME.mdreception.pyrecursivity.pyregistry.pyregistry.pyiremesh.pyremesh.pyiresonance.pyself_organization.pysilence.pystructural_units.pytransition.py
parallel
__init__.pyauto_scaler.pydistributed.pyengine.pymonitoring.pypartitioner.pyREADME.md
performance
guardrails.py
physics
__init__.py_helpers.pycalibration.pycanonical.pycell.pyclassical_mechanics.pyconservation_gauge_unification.pyconservation.pydissipative_conservation.pyemergent_chemistry.pyemergent_particles.pyextended.pyfields.pygauge.pyintegrity.pyinteractions.pylife.pylyapunov.pypatterns.pyphase_transition.pyquantum_mechanics.pyREADME.mdsignatures.pyspectral_conservation.pyspectral_metrics.pystructural_diffusion.pysymplectic_substrate.pytelemetry.pyunified.pyvariational.pyvectorized_ops.py
primality
__init__.py
recipes
__init__.pycookbook.pyREADME.md
riemann
__init__.pyadmissible_family_sweep.pyadmissible_rescaling.pyaggregates_closure_signature.pyalpha_sweep.pyanalytic_continuation_dirichlet.pyanalytic_continuation.pycoercivity_uniform.pycoupling_weights_type_signature.pycurrents_closure_signature.pydelta_phi_max_type_signature.pydirichlet_l.pydnfr_type_signature.pyepi_type_signature.pyhilbert_polya.pyli_keiper.pylyapunov_spectral_positivity.pynodal_pulse.pynodeaware_gauge_sweep.pynuf_type_signature.pyoperator_catalog_discipline_signature.pyoperator.pyoscillatory_correction.pypaley_gap_coercivity.pyphi_type_signature.pyprime_ladder_hamiltonian.pypulse_coherence.pyremesh_infinity_residue_split.pyremesh_window_type_signature.pyspectral_emergence.pystructural_zero_density.pytelemetry.pytetrad_closure_signature.pytwisted_admissible_family_sweep.pytwisted_admissible_rescaling.pytwisted_alpha_sweep.pytwisted_coercivity_uniform.pytwisted_hermite_family.pytwisted_hilbert_polya.pytwisted_li_keiper.pytwisted_lyapunov_spectral_positivity.pytwisted_nodeaware_gauge_sweep.pytwisted_oscillatory_correction.pytwisted_paley_gap_coercivity.pytwisted_prime_ladder_hamiltonian.pytwisted_spectral_emergence.pytwisted_structural_zero_density.pytwisted_weil_explicit_formula.pytwisted_weil_positivity.pyurules_consistency_signature.pyvon_mangoldt.pyweil_explicit_formula.pyweil_positivity.py
schemas
__init__.pygrammar.jsonREADME.md
sdk
__init__.py__init__.pyiadaptive_system.pyadaptive_system.pyibuilders.pybuilders.pyifluent.pyfluent.pyiREADME.mdself_opt.pysimple.pytemplates.pytemplates.pyiutils.py
security
__init__.pycrypto.pydatabase.pyREADME.mdsubprocess.pyvalidation.py
sequencing
__init__.pypatterns.pyREADME.md
services
__init__.pyorchestrator.pyREADME.md
sparse
__init__.pyREADME.mdrepresentations.py
structural
README.md
telemetry
__init__.pycache_metrics.pycache_metrics.pyiconstants.pynu_f.pynu_f.pyiREADME.mdunified_telemetry_system.pyverbosity.pyverbosity.pyi
tools
__init__.pydomain_templates.pyREADME.mdsequence_generator.pytnfr_is_prime_cli_optimized.pytnfr_is_prime_cli.py
topology
__init__.pyasymmetry.pyREADME.md
utils
cache_layers.pycache.pycache.pyicallbacks.pycallbacks.pyichunks.pychunks.pyidata.pydata.pyifast_diameter.pygraph.pygraph.pyiinit.pyinit.pyiio.pyio.pyinumeric.pynumeric.pyiREADME.mdtopology.pyunified_cache.py
validation
__init__.py__init__.pyiaggregator.pybase.pycompatibility.pycompatibility.pyiconfig.pygraph.pygraph.pyihealth.pyinput_validation.pyinterface_baselines.pyinvariants.pymultichannel_interface.pyphase_gate.pyREADME.mdrules.pyrules.pyiruntime.pyruntime.pyisequence_validator.pysignal_confrontation.pysoft_filters.pysoft_filters.pyispectral.pyspectral.pyistructural_interface.pytemporal_interface.pyunified_validation_system.pyvalidator.pywindow.pywindow.pyi
visualization
__init__.pycascade_viz.pyhierarchy.pyREADME.mdsequence_plotter.py
yang_mills
__init__.pyclosure.pyderivability.pyscaling.pystructural_gap.pyu6_sweep.py
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tetrad_evaluator.py
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FILE: factorization-lab/demos/feedback_integration_demo.py

feedback_integration_demo.py

TNFR Self-Optimization Feedback Integration Demo

Lightweight demonstration of the feedback learning system without requiring full TNFR environment dependencies.

Source Code

python
"""
TNFR Self-Optimization Feedback Integration Demo

Lightweight demonstration of the feedback learning system without
requiring full TNFR environment dependencies.
"""

import json
import sqlite3
import tempfile
import time
from pathlib import Path


# Mock the feedback system for demonstration
class MockVerificationFeedback:
    """Mock verification feedback for demo."""

    def __init__(
        self, n, candidate_factor, was_certified, strategy, runtime_ms, number_type
    ):
        self.n = n
        self.candidate_factor = candidate_factor
        self.was_certified = was_certified
        self.verification_score = 0.8 if was_certified else 0.3
        self.dnfr_gain = 0.2 if was_certified else 0.05
        self.coherence_ratio = 0.9 if was_certified else 0.4
        self.phi_delta_parent = 0.1 if was_certified else 0.5
        self.gradient_delta = 0.15
        self.curvature_delta = 0.2
        self.periodicity_confidence = 0.7 if was_certified else 0.2
        self.partition_strategy = strategy
        self.operator_sequence = [
            "emission",
            "coupling",
            "resonance",
            "coherence",
            "silence",
        ]
        self.optimization_budget = 10.0
        self.runtime_ms = runtime_ms
        self.convergence_iterations = 3
        self.number_type = number_type
        self.factor_pattern = "close_factors" if was_certified else "no_factors"
        self.timestamp = time.time()
        self.modulus = n
        self.node_count = 10


class FeedbackLearningDemo:
    """Demonstration of feedback learning capabilities."""

    def __init__(self):
        """Initialize demo with temporary database."""
        self.temp_dir = tempfile.mkdtemp(prefix="tnfr_feedback_demo_")
        self.db_path = Path(self.temp_dir) / "demo_feedback.db"
        self._init_database()

        print(f"Demo database created: {self.db_path}")

    def _init_database(self):
        """Initialize demo database."""
        with sqlite3.connect(self.db_path) as conn:
            conn.execute(
                """
                CREATE TABLE IF NOT EXISTS verification_feedback (
                    id INTEGER PRIMARY KEY AUTOINCREMENT,
                    n INTEGER NOT NULL,
                    candidate_factor INTEGER,
                    was_certified INTEGER NOT NULL,
                    verification_score REAL,
                    partition_strategy TEXT,
                    runtime_ms REAL,
                    number_type TEXT,
                    factor_pattern TEXT,
                    timestamp REAL
                )
            """
            )

            conn.execute(
                """
                CREATE TABLE IF NOT EXISTS strategy_performance (
                    strategy TEXT PRIMARY KEY,
                    total_attempts INTEGER DEFAULT 0,
                    successful_attempts INTEGER DEFAULT 0,
                    avg_runtime_ms REAL DEFAULT 0,
                    success_rate REAL DEFAULT 0
                )
            """
            )

    def simulate_factorization_attempts(self, num_attempts=50):
        """Simulate a series of factorization attempts with feedback."""

        print(f"\nSimulating {num_attempts} factorization attempts...")

        # Define test strategies with different success rates
        strategies = {
            "basic_strategy": 0.3,  # 30% success rate
            "optimized_strategy": 0.7,  # 70% success rate
            "experimental_strategy": 0.5,  # 50% success rate
            "adaptive_strategy": 0.8,  # 80% success rate (learned)
        }

        # Simulate attempts
        for i in range(num_attempts):
            # Choose random number and strategy
            n = 35 + (i % 20) * 7  # Various semiprimes
            strategy = list(strategies.keys())[i % len(strategies)]

            # Simulate success based on strategy performance
            import random

            was_certified = random.random() < strategies[strategy]

            # Runtime varies by strategy and success
            base_runtime = {
                "basic_strategy": 800,
                "optimized_strategy": 600,
                "experimental_strategy": 1000,
                "adaptive_strategy": 500,
            }[strategy]

            runtime_ms = base_runtime + random.uniform(-200, 300)
            if not was_certified:
                runtime_ms *= 1.2  # Failed attempts take longer

            # Classify number type
            number_type = self._classify_number(n)

            # Record feedback
            feedback = MockVerificationFeedback(
                n=n,
                candidate_factor=5 if was_certified else None,
                was_certified=was_certified,
                strategy=strategy,
                runtime_ms=runtime_ms,
                number_type=number_type,
            )

            self._record_feedback(feedback)

            if (i + 1) % 10 == 0:
                print(f"  Completed {i + 1}/{num_attempts} attempts")

        print("✓ Simulation completed")

    def _classify_number(self, n):
        """Simple number classification."""
        # Quick check for common patterns
        if n < 100:
            return "small_composite"
        elif n < 300:
            return "medium_composite"
        else:
            return "large_composite"

    def _record_feedback(self, feedback):
        """Record feedback in database."""
        with sqlite3.connect(self.db_path) as conn:
            conn.execute(
                """
                INSERT INTO verification_feedback (
                    n, candidate_factor, was_certified, verification_score,
                    partition_strategy, runtime_ms, number_type, factor_pattern, timestamp
                ) VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?)
            """,
                (
                    feedback.n,
                    feedback.candidate_factor,
                    int(feedback.was_certified),
                    feedback.verification_score,
                    feedback.partition_strategy,
                    feedback.runtime_ms,
                    feedback.number_type,
                    feedback.factor_pattern,
                    feedback.timestamp,
                ),
            )

    def analyze_performance(self):
        """Analyze strategy performance from recorded feedback."""

        print("\nAnalyzing strategy performance...")

        with sqlite3.connect(self.db_path) as conn:
            conn.row_factory = sqlite3.Row

            # Calculate performance by strategy
            performance_query = """
                SELECT 
                    partition_strategy,
                    COUNT(*) as total_attempts,
                    SUM(was_certified) as successful_attempts,
                    AVG(runtime_ms) as avg_runtime_ms,
                    AVG(CAST(was_certified AS FLOAT)) as success_rate
                FROM verification_feedback 
                GROUP BY partition_strategy
                ORDER BY success_rate DESC
            """

            results = conn.execute(performance_query).fetchall()

            print("\n" + "=" * 60)
            print("STRATEGY PERFORMANCE ANALYSIS")
            print("=" * 60)
            print(
                f"{'Strategy':<20} {'Success Rate':<12} {'Avg Runtime':<12} {'Attempts':<10}"
            )
            print("-" * 60)

            for row in results:
                strategy = row["partition_strategy"]
                success_rate = row["success_rate"] * 100
                avg_runtime = row["avg_runtime_ms"]
                attempts = row["total_attempts"]

                print(
                    f"{strategy:<20} {success_rate:>8.1f}%    {avg_runtime:>8.0f}ms   {attempts:>8}"
                )

            # Identify best strategy
            best_strategy = results[0] if results else None
            if best_strategy:
                print(
                    f"\n🏆 Best performing strategy: {best_strategy['partition_strategy']}"
                )
                print(f"   Success rate: {best_strategy['success_rate']*100:.1f}%")
                print(f"   Average runtime: {best_strategy['avg_runtime_ms']:.0f}ms")

    def demonstrate_adaptive_learning(self):
        """Demonstrate how the system would adapt strategies."""

        print("\n" + "=" * 60)
        print("ADAPTIVE LEARNING DEMONSTRATION")
        print("=" * 60)

        with sqlite3.connect(self.db_path) as conn:
            conn.row_factory = sqlite3.Row

            # Get strategy recommendations by number type
            recommendation_query = """
                SELECT 
                    number_type,
                    partition_strategy,
                    AVG(CAST(was_certified AS FLOAT)) as success_rate,
                    COUNT(*) as sample_count
                FROM verification_feedback 
                GROUP BY number_type, partition_strategy
                HAVING sample_count >= 3
                ORDER BY number_type, success_rate DESC
            """

            results = conn.execute(recommendation_query).fetchall()

            current_number_type = None
            for row in results:
                number_type = row["number_type"]

                if number_type != current_number_type:
                    current_number_type = number_type
                    print(f"\n📊 Recommendations for {number_type}:")

                    # Show best strategy for this number type
                    best_row = next(
                        r for r in results if r["number_type"] == number_type
                    )
                    print(f"   ✅ Recommended: {best_row['partition_strategy']}")
                    print(f"      Success rate: {best_row['success_rate']*100:.1f}%")
                    print(f"      Based on {best_row['sample_count']} samples")

                    # Show alternatives
                    alternatives = [
                        r
                        for r in results
                        if r["number_type"] == number_type
                        and r["partition_strategy"] != best_row["partition_strategy"]
                    ][:2]

                    if alternatives:
                        print("   📋 Alternatives:")
                        for alt in alternatives:
                            print(
                                f"      - {alt['partition_strategy']}: {alt['success_rate']*100:.1f}% success"
                            )

    def generate_optimization_recommendations(self):
        """Generate actionable optimization recommendations."""

        print("\n" + "=" * 60)
        print("OPTIMIZATION RECOMMENDATIONS")
        print("=" * 60)

        with sqlite3.connect(self.db_path) as conn:
            # Find underperforming strategies
            underperforming = conn.execute(
                """
                SELECT partition_strategy, AVG(CAST(was_certified AS FLOAT)) as success_rate
                FROM verification_feedback 
                GROUP BY partition_strategy
                HAVING COUNT(*) >= 5 AND success_rate < 0.4
            """
            ).fetchall()

            # Find slow strategies
            slow_strategies = conn.execute(
                """
                SELECT partition_strategy, AVG(runtime_ms) as avg_runtime
                FROM verification_feedback
                GROUP BY partition_strategy  
                HAVING COUNT(*) >= 5
                ORDER BY avg_runtime DESC
                LIMIT 2
            """
            ).fetchall()

            # Generate recommendations
            recommendations = []

            if underperforming:
                for strategy, success_rate in underperforming:
                    recommendations.append(
                        f"⚠️  Strategy '{strategy}' has low {success_rate*100:.1f}% success rate - consider revision"
                    )

            if slow_strategies:
                fastest_time = min(row[1] for row in slow_strategies)
                for strategy, avg_runtime in slow_strategies:
                    if avg_runtime > fastest_time * 1.5:
                        recommendations.append(
                            f"🐌 Strategy '{strategy}' is slow ({avg_runtime:.0f}ms avg) - optimize performance"
                        )

            # Success patterns
            successful_patterns = conn.execute(
                """
                SELECT partition_strategy, AVG(CAST(was_certified AS FLOAT)) as success_rate
                FROM verification_feedback
                GROUP BY partition_strategy
                HAVING COUNT(*) >= 5 AND success_rate > 0.7
                ORDER BY success_rate DESC
            """
            ).fetchall()

            if successful_patterns:
                best_strategy, best_rate = successful_patterns[0]
                recommendations.append(
                    f"🌟 Strategy '{best_strategy}' shows excellent {best_rate*100:.1f}% success - consider as default"
                )

            # Print recommendations
            if recommendations:
                for i, rec in enumerate(recommendations, 1):
                    print(f"{i}. {rec}")
            else:
                print("✅ All strategies performing within acceptable ranges")

    def export_feedback_report(self):
        """Export comprehensive feedback report."""

        report_path = Path(self.temp_dir) / "feedback_learning_report.json"

        with sqlite3.connect(self.db_path) as conn:
            conn.row_factory = sqlite3.Row

            # Get summary statistics
            total_attempts = conn.execute(
                "SELECT COUNT(*) FROM verification_feedback"
            ).fetchone()[0]
            overall_success = conn.execute(
                """
                SELECT AVG(CAST(was_certified AS FLOAT)) FROM verification_feedback
            """
            ).fetchone()[0]

            # Get strategy breakdown
            strategy_stats = conn.execute(
                """
                SELECT 
                    partition_strategy,
                    COUNT(*) as attempts,
                    AVG(CAST(was_certified AS FLOAT)) as success_rate,
                    AVG(runtime_ms) as avg_runtime
                FROM verification_feedback
                GROUP BY partition_strategy
            """
            ).fetchall()

            report = {
                "summary": {
                    "total_attempts": total_attempts,
                    "overall_success_rate": overall_success,
                    "database_path": str(self.db_path),
                },
                "strategy_performance": [
                    {
                        "strategy": row["partition_strategy"],
                        "attempts": row["attempts"],
                        "success_rate": row["success_rate"],
                        "avg_runtime_ms": row["avg_runtime"],
                    }
                    for row in strategy_stats
                ],
                "generated_at": time.time(),
            }

        with open(report_path, "w") as f:
            json.dump(report, f, indent=2)

        print(f"\n📄 Feedback report exported: {report_path}")
        return report_path

    def cleanup(self):
        """Clean up demo files."""
        import shutil

        shutil.rmtree(self.temp_dir, ignore_errors=True)
        print(f"\n🧹 Demo files cleaned up")


def run_feedback_integration_demo():
    """Run the complete feedback integration demonstration."""

    print("TNFR SELF-OPTIMIZATION FEEDBACK INTEGRATION DEMO")
    print("=" * 65)
    print("Demonstrating closed-loop optimization with adaptive learning")
    print()

    # Create demo instance
    demo = FeedbackLearningDemo()

    try:
        # Run simulation
        demo.simulate_factorization_attempts(50)

        # Analyze results
        demo.analyze_performance()

        # Show adaptive learning
        demo.demonstrate_adaptive_learning()

        # Generate recommendations
        demo.generate_optimization_recommendations()

        # Export report
        report_path = demo.export_feedback_report()

        print("\n" + "=" * 65)
        print("✅ FEEDBACK INTEGRATION DEMO COMPLETED SUCCESSFULLY")
        print("\nKey Capabilities Demonstrated:")
        print("• Automated feedback collection from verification results")
        print("• Strategy performance analysis and ranking")
        print("• Adaptive recommendations based on number type patterns")
        print("• Continuous learning from success/failure patterns")
        print("• Optimization recommendations for underperforming strategies")
        print("• Comprehensive reporting and analytics")
        print(f"\n📊 Detailed report available at: {report_path}")

    finally:
        # Cleanup
        demo.cleanup()

    return True


if __name__ == "__main__":
    success = run_feedback_integration_demo()
    print(f"\nDemo {'completed successfully' if success else 'failed'}")
    exit(0 if success else 1)