Shunyaya Symbolic Mathematical Hardware – Operational Playbooks: Healthcare, Analytics & Cybersecurity (4.10–4.12)

4.10 — Healthcare operations (non-diagnostic indices)

  • Scenario. Fragile ratios trigger alarm fatigue and unnecessary follow-up.
  • Inputs. Operational indices (not clinical diagnosis) with alignments from data completeness.
  • Behavior. Values report as usual; the lane highlights fragile periods to operators.
  • Week-1 pilot. Add bands to dashboards; keep protocols unchanged.
  • KPIs & acceptance. Fewer nuisance alarms, faster triage, no loss of signal visibility.
  • Calculator-fast example.
    Given a_f = +0.5, a_g = +0.2
    u_diff = 0.5493061443 - 0.2027325541 = 0.3465735902
    a_div = tanh(u_diff) = 0.3333333333

4.11 — Analytics & finance (aggregate confidence)

  • Scenario. Cohort roll-ups lose trust due to order effects and noisy denominators.
  • Inputs. Totals/ratios with alignments per source; weights reflect magnitude.
  • Behavior. Order-invariant confidence accompanies totals; ratios show bounded strength.
  • Week-1 pilot. Publish roll-up confidence; band alerts on fragile ratios.
  • KPIs & acceptance. Fewer reversals after backfills; cleaner executive dashboards.
  • Calculator-fast example.
    Given (m1,a1) = (10,+0.8), (m2,a2) = (5,-0.6), weights w = |m| = {10,5}
    u1 = atanh(0.8) = 1.0986122886681098
    u2 = atanh(-0.6) = -0.6931471805599453
    U = 10*u1 + 5*u2 = 7.520386983881371 ; W = 15
    a_out = tanh(U/W) = tanh(0.5013591322587581) = 0.4631853721633224

4.12 — Cybersecurity & ops (banded anomalies)

  • Scenario. Noisy denominators and partial evidence flood triage queues.
  • Inputs. Anomaly scores and rates with alignments from data coverage.
  • Behavior. Bands tier escalation; values remain visible.
  • Week-1 pilot. Introduce banded thresholds; log pre/post volumes.
  • KPIs & acceptance. Fewer false escalations; faster response on strong evidence.
  • Calculator-fast example (template).
    Given a_rate = +0.4, a_score = +0.3
    a_fused = tanh( atanh(0.4) + atanh(0.3) ) = 0.625
    Policy hint: escalate only if band in {A-, A--} for M consecutive windows.

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