{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"invariant_mode_decomposition_design__public_administration_policy","trajectory_id":"R","attempt_index":0,"archetype_slug":"invariant_mode_decomposition_design","domain_slug":"public_administration_policy","decision":"CANDIDATE","problem_id":"coupled_public_service_backlog_amplification","causal_lever_id":"modal_control_of_workflow_propagation","proposal":{"problem":"Linked public-service queues can develop recurring, system-wide backlog growth even while each office manages its own visible queue. Referrals, rework, eligibility reviews, and shared staffing couple queue states, so queue-by-queue remedies may shift delay elsewhere or miss an amplifying combination of workloads. Whether such stable combinations exist is a HYPOTHESIS to test.","actors_substrate":["Residents awaiting benefits or permits","Frontline service offices","Referral and review units","Program administrators","Oversight and data-governance staff"],"observable_state":"Time-stamped administrative events yield weekly queue sizes, arrivals, completions, referrals, returns for correction, staffing capacity, and processing times across linked workflow stages.","consequence":"An amplifying workload pattern can remain hidden behind acceptable average metrics, causing recurrent delays, missed statutory targets, unequal burdens on residents, and reactive staff reallocations.","affected_objective":"Timely, equitable, and reliable delivery of public services without merely transferring backlog among offices.","structural_mapping":[{"archetype_element":"Coupled transformation","domain_realization":"A locally estimated transition maps one week's multi-queue workload and capacity state to the next week's state.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Invariant directions","domain_realization":"Approximately persistent combinations of queue loads, referral flows, and rework rates represent candidate propagation modes rather than individual office metrics.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Scalar modal response","domain_realization":"Estimated gains indicate which workload combinations decay, persist, or amplify within the pilot regime.","claim_kind":"INFERENCE"},{"archetype_element":"Action-relevant modes","domain_realization":"Modes are prioritized by delay, equity, and statutory-service consequences, not gain alone.","claim_kind":"INFERENCE"},{"archetype_element":"Residual visibility","domain_realization":"Out-of-sample reconstruction error preserves unexplained shocks, rule changes, and nonlinear workflow behavior.","claim_kind":"INFERENCE"},{"archetype_element":"Governed validity window","domain_realization":"The model is usable only for the included programs, workflow topology, cadence, and demand range.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Transformation Scope","status":"adapted","domain_realization":"Weekly transition among named queues, referral paths, rework states, and capacity variables in one service pathway."},{"component":"State-Vector Definition","status":"direct","domain_realization":"Standardized queue, flow, delay, rework, and capacity measures with protected attributes excluded from control coordinates."},{"component":"Invariant Mode Basis","status":"adapted","domain_realization":"Approximate modes of the estimated local workflow transition."},{"component":"Modal Gain Spectrum","status":"direct","domain_realization":"Estimated per-period gain and uncertainty for every retained mode."},{"component":"Dominant Mode Selection Rule","status":"direct","domain_realization":"Retain modes exceeding preregistered gain, persistence, outcome-sensitivity, or equity-risk thresholds."},{"component":"Stable/Unstable Mode Partition","status":"adapted","domain_realization":"Classify modes as decaying, marginal, oscillatory, or amplifying within the observed regime."},{"component":"Modal Intervention Map","status":"adapted","domain_realization":"Map reversible staffing, cross-training, intake, and rework-reduction options to predicted modal changes."},{"component":"Reconstruction Residual Check","status":"direct","domain_realization":"Out-of-sample errors by queue, week, and resident-impact metric, including residual structure."},{"component":"Mode Drift Monitor","status":"direct","domain_realization":"Scheduled checks for mode rotation, reordered gains, and worsening forecast residuals."},{"component":"Interpretation Scope Contract","status":"direct","domain_realization":"Written limits distinguishing descriptive local modes from causal effects and prohibiting individual eligibility decisions."},{"component":"Mode-Coupling Register","status":"direct","domain_realization":"Register of near-degenerate, non-orthogonal, or intervention-coupled workload modes."},{"component":"Local Linearization Window","status":"adapted","domain_realization":"Empirical bounds on demand, staffing, policy rules, and workflow topology covered by pilot data."},{"component":"Spectral Gap Threshold","status":"direct","domain_realization":"Preregistered minimum separation between retained and omitted modes, with uncertainty allowance."}],"mechanism_dispositions":[{"slug":"eigendecomposition_workflow","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Apply to an estimated square local transition operator; report conditioning and uncertainty rather than treating it as exactly known.","counterfactual_removal":"Without a dynamic basis and gains, the proposal reverts to unrelated queue metrics."},{"slug":"modal_sensitivity_sweep","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Simulate small reversible changes to feasible administrative controls and record outcome and cross-mode responses.","counterfactual_removal":"Modes could be described but not linked to actionable leverage."},{"slug":"modal_stability_analysis","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Classify estimated gains only inside the preregistered operating window.","counterfactual_removal":"The analysis could not distinguish self-correcting from amplifying backlog patterns."},{"slug":"mode_shape_testing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Physical excitation and sensor-response identification do not fit an administrative workflow; observed transitions supply validation.","counterfactual_removal":"No change; empirical validation remains in the bounded pilot."},{"slug":"network_spectral_centrality_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Static node importance ranks offices but does not estimate temporal backlog propagation.","counterfactual_removal":"No change to the transition-mode causal chain."},{"slug":"power_iteration_probe","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Dominant-only recovery would hide secondary risky modes; the bounded pilot permits a full spectrum.","counterfactual_removal":"No change because full decomposition supplies dominance and gap information."},{"slug":"principal_component_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Variance directions are not transition directions and may elevate seasonal volume rather than propagation.","counterfactual_removal":"No change; dynamic modes remain estimable."},{"slug":"reduced_order_model","disposition":"selected_supporting","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Build a small, local scenario model from retained modes for prospective staffing comparisons only.","counterfactual_removal":"Diagnosis remains, but rapid bounded comparison of control options is lost."},{"slug":"residual_reconstruction_test","disposition":"selected_load_bearing","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Use temporal holdouts and inspect consequential residual structure, not aggregate error alone.","counterfactual_removal":"Omitted shocks or queues could be concealed, defeating the validity gate."},{"slug":"singular_value_decomposition","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"SVD is reserved as a diagnostic fallback for ill-conditioning; singular directions do not establish temporal invariance.","counterfactual_removal":"No change if the transition eigensystem passes conditioning checks."},{"slug":"spectral_decomposition_report","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Publish assumptions, uncertainties, couplings, prohibited interpretations, and expiry conditions for administrators.","counterfactual_removal":"Technical results could be mistaken for causal or person-level authority."},{"slug":"spectral_gap_monitor","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Re-estimate gaps, mode alignment, and residuals on a fixed schedule and after policy changes.","counterfactual_removal":"A once-valid reduction could persist unnoticed after regime drift."}],"causal_chain":["Referral, rework, and capacity dependencies couple the evolution of multiple service queues.","A local transition estimate exposes combinations of states that decay, persist, or amplify.","Stability and sensitivity analyses identify amplifying combinations that also affect public-service outcomes.","Small feasible controls are chosen to damp the risky combination rather than optimize one queue in isolation.","Holdout residuals, gap checks, and drift monitoring determine whether the explanation remains usable.","If valid, coordinated control reduces total and distributional delay without transferring backlog."],"baseline":"Ordinary practice is separate queue dashboards, threshold alerts, and office-specific staffing or escalation after visible delay rises.","nearest_rival":"Process-mining or bottleneck analysis that traces cases and fixes the slowest workflow step without modeling coupled temporal amplification.","authority_safety":{"affected_parties":["Applicants and residents, especially those facing urgent or accessibility-sensitive delays","Frontline and review staff","Program managers and partner agencies"],"decision_authority":"The accountable program administrator may authorize a pilot with data-governance, labor, legal, and service-equity review; the model itself has no authority.","authorized_first_step":"Using historical de-identified weekly aggregates, fit on earlier weeks and validate on later weeks; then prospectively compare four weeks of existing operations with a reversible staffing or cross-training adjustment in a small set of volunteer offices, subject to a preregistered sample, residual budget, equity checks, and no reduction in statutory service levels.","excluded_actions":["Changing individual eligibility or enforcement decisions","Using protected attributes to ration service","Automating personnel discipline","Withholding legally required service","System-wide rollout from retrospective fit alone"],"halt_rollback":"Halt and restore ordinary allocation if holdout error exceeds budget, the retained-mode gap crosses its threshold, any subgroup's delay materially worsens, staff workload breaches limits, or workflow or policy rules change; expire and re-estimate the model."}},"negative_tests":{"strongest_counterevidence":"Historical amplification may disappear after controlling for common demand shocks, seasonality, policy deadlines, or data-definition changes; estimated modes may also rotate too rapidly for intervention.","analogy_break":"Administrative transitions include discretion, strategic adaptation, legal constraints, and abrupt rule changes; unlike a fixed linear operator, their modes may be endogenous and only locally approximate.","failure_condition":"No well-conditioned, repeatable modal structure survives temporal holdout, consequential residuals remain structured, or feasible controls cannot selectively influence a risky mode.","problem_falsifier":"The diagnosed problem is rejected if delays are adequately explained by one directly observable exogenous driver or isolated bottleneck, with no reproducible cross-queue propagation after controls.","intervention_falsifier":"The intervention is rejected if the preregistered adjustment changes its targeted modal coordinate but does not improve total and distributional delay, or merely transfers backlog to another queue.","risks":["Spurious modes from seasonality, measurement changes, or missing queues","Optimization that shifts burdens to less visible offices or resident groups","False causal interpretation of descriptive modes","Privacy leakage from overly granular administrative records","Model drift after policy, staffing, or workflow changes","Staff gaming or reduced discretion in response to monitored metrics"]},"null_rationale":null,"classification":{"candidate_kind":"MECHANISM_ADAPTATION","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":0.74,"generator_notes":"Candidate fit depends on discovering a stable local transition among linked service queues; the packet supplies no empirical evidence that such modes exist in any particular administration."}