{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"invariant_mode_decomposition_design__veterinary_medicine","trajectory_id":"R","attempt_index":0,"archetype_slug":"invariant_mode_decomposition_design","domain_slug":"veterinary_medicine","decision":"CANDIDATE","problem_id":"threshold_blind_perianesthetic_decompensation","causal_lever_id":"unstable_multivariate_physiologic_mode_detection","proposal":{"problem":"During veterinary anesthesia, coordinate-wise alarms and clinician inspection can miss a coupled physiologic deterioration pattern until several individual measurements cross thresholds. The recognizable problem is delayed recognition and correction of perianesthetic decompensation, not merely insufficient dimensionality reduction.","actors_substrate":["anesthetized veterinary patients","veterinary anesthesiologists and technicians","physiologic monitors and anesthesia records","animal owners responsible for treatment authorization"],"observable_state":"Time-aligned heart rate, arterial pressure, oxygen saturation, end-tidal carbon dioxide, respiratory rate, temperature, anesthetic concentration, ventilation settings, fluid delivery, and timestamped clinical actions within a defined anesthetic phase.","consequence":"A hidden growing combination of otherwise acceptable measurements may progress before ordinary alarms fire, delaying clinician reassessment and increasing exposure to hypotension, hypoventilation, hypoxemia, or other harm (HYPOTHESIS).","affected_objective":"Earlier, more specific recognition of reversible physiologic deterioration without increasing unnecessary interventions or displacing clinician judgment.","structural_mapping":[{"archetype_element":"Coupled transformation","domain_realization":"A locally estimated transition operator maps the monitored physiologic state between adjacent time intervals during a stable anesthetic phase.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Invariant directions","domain_realization":"Approximately invariant combinations of monitored variables represent recurrent short-horizon patterns of coordinated physiologic change.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Scalar modal response","domain_realization":"Each mode's estimated gain indicates local decay, persistence, oscillation, or growth rather than clinical severity by itself.","claim_kind":"INFERENCE"},{"archetype_element":"Action relevance","domain_realization":"Outcome-linked sensitivity and clinician review distinguish modes warranting attention from large but benign modes.","claim_kind":"HYPOTHESIS"},{"archetype_element":"Residual and drift governance","domain_realization":"Reconstruction error, mode rotation, spectral-gap loss, and anesthetic-phase changes bound when the model may be trusted.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Transformation Scope","status":"adapted","domain_realization":"One-step physiologic transitions within a prespecified species, procedure class, sampling interval, and anesthetic phase."},{"component":"State-Vector Definition","status":"adapted","domain_realization":"Synchronized monitor values, selected administered-agent or support settings, and missingness indicators with explicit units."},{"component":"Invariant Mode Basis","status":"direct","domain_realization":"Eigenvectors of the locally estimated transition matrix, subject to conditioning checks."},{"component":"Modal Gain Spectrum","status":"direct","domain_realization":"Eigenvalues reporting short-horizon persistence, growth, decay, or oscillation."},{"component":"Dominant Mode Selection Rule","status":"adapted","domain_realization":"Retain modes exceeding preregistered stability-risk, outcome-sensitivity, and reconstruction-value thresholds."},{"component":"Stable/Unstable Mode Partition","status":"direct","domain_realization":"Classify gains relative to the discrete-time stability boundary, with uncertainty intervals."},{"component":"Modal Intervention Map","status":"adapted","domain_realization":"Map clinician-controllable inputs to predicted changes in modes; use only for decision support."},{"component":"Reconstruction Residual Check","status":"direct","domain_realization":"Out-of-sample state reconstruction error plus review for clinically structured residuals."},{"component":"Mode Drift Monitor","status":"adapted","domain_realization":"Track changes in mode direction, ordering, gain, and calibration by phase and patient subgroup."},{"component":"Interpretation Scope Contract","status":"adapted","domain_realization":"Modes are local predictive patterns, not diagnoses or causal physiologic pathways."},{"component":"Mode-Coupling Register","status":"direct","domain_realization":"Record near-degeneracy, non-normality, correlated controls, and cross-mode responses."},{"component":"Local Linearization Window","status":"adapted","domain_realization":"Exclude induction, emergence, major boluses, sensor failure, and other transitions unless separately modeled."},{"component":"Spectral Gap Threshold","status":"direct","domain_realization":"Require a preregistered separation and bootstrap stability before assigning a dominant-mode label."}],"mechanism_dispositions":[{"slug":"eigendecomposition_workflow","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Decompose the small explicit fitted transition operator and report conditioning as well as all eigenpairs.","counterfactual_removal":"Without invariant directions and gains, the proposal becomes an ordinary multivariable warning score."},{"slug":"modal_sensitivity_sweep","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Perturb modal states and candidate clinical inputs only inside the fitted local model; log cross-effects.","counterfactual_removal":"Modes could be ranked by magnitude but not by outcome or controllable leverage."},{"slug":"modal_stability_analysis","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Classify uncertain discrete-time gains only within the declared anesthetic window.","counterfactual_removal":"The system could not distinguish decaying variation from a growing warning direction."},{"slug":"mode_shape_testing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Deliberate excitation of anesthetized animals is unnecessary and potentially unsafe; use passive records and natural clinical inputs.","counterfactual_removal":"No change; empirical estimation remains available without experimental excitation."},{"slug":"network_spectral_centrality_analysis","disposition":"incompatible","contribution_type":"NONE","adaptation_or_rejection":"The target is temporal physiologic evolution, not ranking nodes in a connectivity graph.","counterfactual_removal":"No change."},{"slug":"power_iteration_probe","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"The state operator is small and the full spectrum is needed; dominant-only iteration would conceal competing modes.","counterfactual_removal":"No change."},{"slug":"principal_component_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Variance directions do not encode temporal stability and could prioritize artifacts.","counterfactual_removal":"No change; the transition operator supplies the relevant modes."},{"slug":"reduced_order_model","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Use a bounded surrogate for offline replay and shadow-mode counterfactual tests, never autonomous dosing.","counterfactual_removal":"The warning hypothesis remains, but intervention mapping cannot be tested cheaply or safely."},{"slug":"residual_reconstruction_test","disposition":"selected_load_bearing","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Test held-out error and clinically structured residuals across phases and subgroups.","counterfactual_removal":"Discarded physiology could remain invisible while the reduced model appears adequate."},{"slug":"singular_value_decomposition","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Use singular values and vectors to diagnose conditioning and non-normal transient amplification, not as invariant physiologic modes.","counterfactual_removal":"Fragile eigensystems and transient amplification would be harder to detect."},{"slug":"spectral_decomposition_report","disposition":"selected_supporting","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Document mode loadings, uncertainty, couplings, prohibited causal interpretations, and valid regimes.","counterfactual_removal":"Clinicians could overread descriptive modes as diagnoses or treatment commands."},{"slug":"spectral_gap_monitor","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Monitor gap, mode rotation, gain uncertainty, and subgroup calibration during silent deployment.","counterfactual_removal":"A once-valid dominant-mode simplification could silently persist after regime change."}],"causal_chain":["A local transition model represents coupled short-horizon physiologic evolution.","Decomposition exposes combinations that locally grow or weakly decay despite acceptable individual readings.","Sensitivity and residual tests retain only modes that add outcome-relevant, reproducible information (HYPOTHESIS).","A silent alert makes the growing pattern visible earlier than coordinate thresholds (HYPOTHESIS).","The authorized clinician reassesses patient, sensors, anesthesia depth, ventilation, circulation, and recent interventions.","Earlier appropriate correction reduces duration of harmful physiologic states without autonomous treatment (HYPOTHESIS)."],"baseline":"Independent monitor thresholds, trend displays, periodic chart review, and clinician gestalt.","nearest_rival":"A supervised multivariable early-warning score predicting adverse events from the same measurements without invariant-mode or stability interpretation.","authority_safety":{"affected_parties":["animal patients","owners or custodians","veterinary clinicians and technicians"],"decision_authority":"The attending veterinarian or delegated veterinary anesthesia clinician retains all diagnostic and treatment authority.","authorized_first_step":"Run a preregistered, single-site retrospective validation followed by a silent prospective shadow test over a bounded case series; compare warning lead time, false-alert burden, residuals, drift, and subgroup performance without displaying alerts or changing care.","excluded_actions":["autonomous drug, fluid, oxygen, or ventilator changes","withholding standard alarms or monitoring","deliberately destabilizing or exciting a patient","interpreting a mode as a diagnosis or causal pathway","deployment outside validated species, procedures, phases, or sensor configurations"],"halt_rollback":"Stop the shadow test and retire the fitted basis if residual, false-alert, calibration, subgroup-harm, mode-drift, or spectral-gap limits are crossed; retain ordinary monitoring throughout."}},"negative_tests":{"strongest_counterevidence":"Perianesthetic physiology changes rapidly with drugs, procedures, artifacts, and clinician actions; a locally stationary linear operator may be too unstable or non-normal to yield reproducible modes, while existing threshold alarms may already capture actionable deterioration.","analogy_break":"Unlike a fixed engineered structure, an animal's monitored state is partially observed, nonlinear, actively treated, and phase-dependent; mathematical modes need not correspond to separable physiologic mechanisms.","failure_condition":"No sufficiently stable local window, well-conditioned basis, reproducible mode, acceptable residual, or safe lead-time advantage exists across held-out cases and relevant subgroups.","problem_falsifier":"Prospective records show clinically important deterioration is normally preceded by a single observable threshold breach or obvious event, and coupled trajectories add no reproducible pre-threshold signal beyond timestamp and sensor artifact controls.","intervention_falsifier":"A reproducible unstable mode predicts deterioration earlier, but its alerts do not improve clinician recognition or time in harmful states versus the nearest rival, or they impose an unacceptable false-alert or subgroup-harm burden.","risks":["alarm fatigue and unnecessary intervention","sensor artifacts masquerading as unstable modes","species, size, procedure, or device inequity","confounding by clinician actions","false causal interpretation of descriptive loadings","model failure during induction, emergence, or abrupt perturbation"]},"null_rationale":null,"classification":{"candidate_kind":"MECHANISM_COMPOSITION","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":"Closed-book structural transfer. The target problem and causal benefit remain hypotheses pending bounded retrospective and silent prospective testing."}