Applications

Prediction across domains

Lane Vector applies to any domain where behavioral or temporal dynamics operate at multiple scales: emergency room wait times, fraud detection, demand forecasting, discovery and intent, and more. Anywhere the unknown can become known with governing equations.

Use cases

• Emergency room wait times — Multi-scale dynamics: triage in minutes, capacity and demand over days. Stiff-PINN architectures handle the separation of timescales; kinematic forecasting supports resource and expectation management.
• Fraud detection — Trajectories in feature space; velocity and deviation from normal geodesics. The same formalism that describes intent evolution can flag anomalous state evolution and risk.
• Discovery and intent — Intent manifolds and geodesic mapping: users or agents move through distinct states (research, comparison, commitment). Geodesic intent mapping and manifold structure apply directly.
• HVAC and home services — Urgency dynamics: demand spikes around failure events and seasonal patterns. The kinematic framework captures time-to-conversion and urgency-sensitive trajectories. In one home-services example, kinematic-driven alignment changed cost structure meaningfully.
• Legal — Intent manifolds and state transitions; geodesic mapping over decision trajectories.
• Healthcare — Multi-scale stiffness: appointment booking is fast; trust and treatment decisions evolve over months. Stiff-PINN architectures are designed for exactly this separation of timescales.