{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"invariant_mode_decomposition_design__accounting_auditing","trajectory_id":"R","attempt_index":0,"archetype_slug":"invariant_mode_decomposition_design","domain_slug":"accounting_auditing","decision":"CANDIDATE","problem_id":"coupled_close_exception_propagation","causal_lever_id":"mode_guided_audit_test_allocation","proposal":{"problem":"Recurring financial-close exceptions can propagate as coupled combinations across accounts, entities, and controls. Account-by-account thresholds may therefore miss a weakly damped or growing combination that produces late material adjustments even though no single coordinate initially appears exceptional. This problem is a HYPOTHESIS requiring retrospective confirmation.","actors_substrate":["financial-close staff","entity controllers","internal and external auditors","audit committee","ledger accounts, entities, journal entries, reconciliations, and control exceptions"],"observable_state":"At each close checkpoint, a vector records normalized unresolved exceptions, reconciliation differences, late journals, and proposed adjustments by account-entity-control unit; subsequent checkpoints reveal persistence, amplification, damping, and residual error.","consequence":"Hidden coupled exception patterns remain low-priority until they surface as late adjustments, repeated control failures, delayed reporting, or missed misstatements.","affected_objective":"Detect and test consequential close-risk patterns earlier at a fixed audit-effort budget without weakening account-level traceability or audit judgment.","structural_mapping":[{"archetype_element":"Transformation Scope","domain_realization":"A locally estimated transition from one close checkpoint's exception vector to the next within a defined close process and reporting regime.","claim_kind":"HYPOTHESIS"},{"archetype_element":"State-Vector Definition","domain_realization":"Normalized exception measures indexed by account, entity, and control, with identity and lineage retained.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Invariant Mode Basis","domain_realization":"Combinations of indexed exceptions that approximately preserve direction through successive close checkpoints.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Modal Gain Spectrum","domain_realization":"Estimated persistence or amplification of each exception combination.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Dominant Mode Selection Rule","domain_realization":"Retain modes exceeding preregistered persistence, audit-consequence, and out-of-sample reconstruction thresholds.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Stable/Unstable Mode Partition","domain_realization":"Classify combinations as decaying, marginal, or growing only inside the fitted regime.","claim_kind":"INFERENCE"},{"archetype_element":"Modal Intervention Map","domain_realization":"Translate each retained mode into traceable accounts, entities, controls, and candidate audit procedures.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Reconstruction Residual Check","domain_realization":"Compare held-out observed exception states with reconstructions and inspect omitted structured patterns.","claim_kind":"INFERENCE"},{"archetype_element":"Mode Drift Monitor","domain_realization":"Track rotation, gain changes, and reordering across later closes.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Interpretation Scope Contract","domain_realization":"Modes prioritize evidence collection; they neither establish misstatement nor replace professional judgment.","claim_kind":"INFERENCE"},{"archetype_element":"Mode-Coupling Register","domain_realization":"Record near-degenerate, ill-conditioned, or perturbation-sensitive combinations that cannot be treated independently.","claim_kind":"INFERENCE"},{"archetype_element":"Local Linearization Window","domain_realization":"Limit use to specified entities, systems, accounting policies, and checkpoint definitions before a process or regime change.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Spectral Gap Threshold","domain_realization":"Require preregistered separation between retained and omitted modes; otherwise report an unresolved subspace rather than a ranked mode.","claim_kind":"HYPOTHESIS"}],"component_map":[{"component":"Transformation Scope","status":"adapted","domain_realization":"Checkpoint-to-checkpoint close-exception transition."},{"component":"State-Vector Definition","status":"adapted","domain_realization":"Normalized account-entity-control exception vector."},{"component":"Invariant Mode Basis","status":"adapted","domain_realization":"Approximately persistent exception combinations."},{"component":"Modal Gain Spectrum","status":"direct","domain_realization":"Estimated eigenvalue magnitude and direction."},{"component":"Dominant Mode Selection Rule","status":"adapted","domain_realization":"Persistence, consequence, and held-out fidelity gate."},{"component":"Stable/Unstable Mode Partition","status":"adapted","domain_realization":"Decaying, marginal, or growing within regime."},{"component":"Modal Intervention Map","status":"adapted","domain_realization":"Mode-to-audit-procedure traceability map."},{"component":"Reconstruction Residual Check","status":"direct","domain_realization":"Held-out reconstruction error and residual structure."},{"component":"Mode Drift Monitor","status":"adapted","domain_realization":"Across-close direction and gain drift."},{"component":"Interpretation Scope Contract","status":"adapted","domain_realization":"Decision limits documented for auditors."},{"component":"Mode-Coupling Register","status":"direct","domain_realization":"Degeneracy, conditioning, and cross-effect log."},{"component":"Local Linearization Window","status":"adapted","domain_realization":"Fixed process, policy, system, and entity regime."},{"component":"Spectral Gap Threshold","status":"direct","domain_realization":"Minimum retained-versus-omitted separation."}],"mechanism_dispositions":[{"slug":"eigendecomposition_workflow","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Decompose the explicit square checkpoint transition operator; reject decisions if conditioning is unacceptable.","counterfactual_removal":"No invariant directions or gains would connect the problem to modal targeting."},{"slug":"modal_sensitivity_sweep","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Perturb mode coordinates and candidate procedures to rank expected movement in held-out audit outcomes and log cross-effects.","counterfactual_removal":"Large modes could be mistaken for actionable modes, breaking the intervention map."},{"slug":"modal_stability_analysis","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Classify exception modes only within the declared close regime.","counterfactual_removal":"The proposal could not distinguish growing risks from harmless transient variation."},{"slug":"mode_shape_testing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Physical excitation and sensor placement do not match retrospective ledger-process observations.","counterfactual_removal":"No change; the explicit estimated operator supplies the basis."},{"slug":"network_spectral_centrality_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Node importance is not the target; coupled temporal propagation is.","counterfactual_removal":"No change; centrality could distract from exception dynamics."},{"slug":"power_iteration_probe","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Dominant-only estimation would hide consequential secondary modes and is fragile near a small gap.","counterfactual_removal":"No change because the bounded pilot uses the full qualified spectrum."},{"slug":"principal_component_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Variance directions do not identify checkpoint propagation or stability.","counterfactual_removal":"No change; covariance alone cannot support the causal chain."},{"slug":"reduced_order_model","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"A runnable surrogate is unnecessary for a ranking pilot.","counterfactual_removal":"No change to retrospective prioritization."},{"slug":"residual_reconstruction_test","disposition":"selected_load_bearing","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Test retained modes on later closes and inspect residual structure, not only aggregate error.","counterfactual_removal":"Compression could silently omit low-amplitude but audit-relevant patterns."},{"slug":"singular_value_decomposition","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Singular directions can diagnose amplification but do not provide invariant repeated-transition stability; use only in a later robustness analysis.","counterfactual_removal":"No change to the primary eigenmode test."},{"slug":"spectral_decomposition_report","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Document traceability, uncertainty, coupling, residuals, and prohibited causal interpretations.","counterfactual_removal":"Technical uncertainty could be laundered into an unsupported audit conclusion."},{"slug":"spectral_gap_monitor","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Re-estimate gap and direction drift before reuse in a later close.","counterfactual_removal":"A once-valid ranking could persist after its modal separation disappears."}],"causal_chain":["Recurring close operations transform coupled exception states between checkpoints.","A fitted local operator exposes combinations that persist or amplify despite modest individual coordinates.","Stability, sensitivity, gap, and residual gates identify modes worth testing and modes too uncertain to rank.","Mapping qualified modes back to source units reallocates limited audit procedures toward jointly implicated evidence.","At equal reviewer effort, earlier detection of consequential adjustments or control failures should improve if the propagation hypothesis is true."],"baseline":"Auditors rank individual accounts, entities, journal populations, and control exceptions using materiality thresholds, prior findings, and professional judgment, then test the highest-ranked coordinates.","nearest_rival":"A multivariate account-level risk score that predicts adjustments but does not model checkpoint-to-checkpoint invariant directions, stability, spectral separation, or reconstruction residuals.","authority_safety":{"affected_parties":["financial-statement users","employees whose work is reviewed","management and controllers","internal and external auditors","audit committee"],"decision_authority":"The audit engagement leader and responsible controller jointly authorize the retrospective pilot; only the auditor retains authority over audit procedures and conclusions.","authorized_first_step":"Retrospectively fit on four completed closes for two consenting business units, evaluate on two later completed closes, and compare a mode-guided worklist with the ordinary baseline at equal reviewer-hours using preregistered detection, lead-time, residual, conditioning, and gap measures.","excluded_actions":["automatic journal blocking or posting","changing booked amounts","reducing required audit procedures solely from modal scores","employee performance action","production deployment","treating a mode as proof of fraud or misstatement"],"halt_rollback":"Stop if lineage is incomplete, protected data escape the approved environment, conditioning or gap fails its threshold, held-out residual exceeds budget, modes drift beyond tolerance, or mode-guided review misses a baseline-detected consequential item. Discard the ranking and revert to ordinary audit planning."}},"negative_tests":{"strongest_counterevidence":"Late adjustments may be driven mainly by isolated account-specific errors, policy judgments, or one-off events; apparent modes may instead reflect common scaling, calendar effects, or data leakage.","analogy_break":"Accounting-close transitions are human-governed, nonlinear, and subject to policy and system changes; eigenmodes may lack stable identity, and mathematical amplification is not equivalent to misstatement risk.","failure_condition":"No adequately conditioned, locally stable transition operator with traceable and separated modes can be estimated, or residuals retain consequential structure.","problem_falsifier":"Across the scoped closes, consequential late adjustments and repeated control failures do not arise from reproducible cross-account or cross-entity combinations beyond what individual-coordinate baselines explain.","intervention_falsifier":"On held-out closes and equal reviewer-hours, the qualified mode-guided worklist provides no improvement in detection or lead time, or misses consequential items found by the baseline.","risks":["false reassurance from low residual averages","spurious modes from sparse closes or leakage","near-degenerate mode swapping","stigmatizing staff or entities represented in a mode","exposure of sensitive ledger data","confusing association with fraud or causation","displacement of mandated procedures"]},"null_rationale":null,"classification":{"candidate_kind":"DOMAIN_TRANSFER","prior_art_status":"UNSEARCHED","evidence_maturity":"HYPOTHESIS"},"revision_change_log":{"revision_kind":"ORIGINAL","prior_problem_id":null,"prior_causal_lever_id":null,"problem_changed":false,"causal_lever_changed":false,"conceptual_changes":[],"operational_changes":[],"repairs_addressed":[]},"confidence":0.7,"generator_notes":"Fit depends on a reproducible checkpoint transition and sufficient local stationarity. The packet supplies no domain evidence, so the problem prevalence, modal structure, and intervention benefit remain hypotheses."}