Apex AnalyticaAPEX ANALYTICA
// PRODUCTmanifold.engines

Four engines.
One causal graph.

Manifold is a causal-intelligence terminal built on four specialized engines running in parallel on a shared scored graph.

ENGINE COVERAGE · CAUSAL GRAPH
RUN_ID 0x4C19
SPIRTESTARSKIPEARLPARETOFEEDFEEDMFGINFRAENERGYGEOFXΩFSAMPLE TOPOLOGY · 8 NODES · 11 EDGES
// ARCHITECTURE
DATA → SCORED GRAPH → 4 ENGINES → Ω OUTPUT
DATAfeeds + topologySCORED GRAPHIRJCT5 pillars · per-node ΩFcomputed at importSPIRTESSTRUCTUREDCD · PCMCI+ · FCITARSKIVERIFICATIONaxiom library · checkPEARLCOUNTERFACTUALdo(X) · sever · spawnPARETOMULTI-OBJECTIVEfrontier · MC scanΩ OUTPUTSΩ buffer · status · alertcascade replay · MC forecastΩSF · ΩSX · contagion radius4 ENGINES · PARALLEL · ON-DEMAND
// THE ENGINES
04 CORES
STRUCTURE DISCOVERY
ENGINE
SPIRTES

Recovers the causal topology of a critical system from observational data — which nodes act on which, and through what edges.

  • Constraint-based + score-based search over conditional independencies
  • Linear PCMCI variant for time-indexed feeds
  • Side-by-side panel comparison across discovery algorithms
BACKS · C · CASCADE LOAD
FORMAL VERIFICATION
ENGINE
TARSKI

Verifies geopolitical and structural claims about the graph — sanctions exposure, jurisdictional dependencies, control relationships.

  • Formal logic over node and edge attributes
  • Audit trail for every claim with traceable evidence
  • Surfaces silent failure modes before they become incidents
BACKS · J · JURISDICTIONAL HAZARD
COUNTERFACTUAL ENGINE
ENGINE
PEARL

Asks what-if questions on the causal graph — substitute a node, sever an edge, model an embargo — and computes the counterfactual world.

  • Substitution counterfactuals for irreplaceability scoring
  • Counterfactual recovery time estimation
  • Intervention design for stress-tests
BACKS · I · IRREPLACEABILITY · R · RESTORATION
CASCADE & TAIL SIMULATION
ENGINE
PARETO

Simulates cascade dynamics across the graph and characterizes tail risk beyond traditional VaR.

  • Monte Carlo cascade simulation with configurable shock distributions
  • Tail-depth statistics — fat-tail severity beyond VaR
  • ΩSF and ΩSX system-level fragility outputs
BACKS · T · TAIL DEPTH
// CONFIGURABILITY
ENGINES PER DOMAIN
MANIFOLD IS A TEMPLATE

Criticality looks different in finance than it does in fertilizer supply chains. Engines are pluggable per domain — swap the criticality core, retain the rest of the system.

MANUFACTURING
SPIRTES · PEARL · PARETO
INFRASTRUCTURE
SPIRTES · TARSKI · PARETO
ECONOMIC
SPIRTES · PARETO
FINANCE
PEARL · PARETO
ENERGY
ALL FOUR
GEOPOLITICAL
TARSKI · PEARL
SCIENCE
SPIRTES · PEARL
// TRY THE TERMINAL

See the engines on real data.

Trial accounts come pre-loaded with curated datasets across manufacturing, energy, and finance.