Causal artificial intelligence (AI) · Model guide

Hybrid dynamic models

Conditional linear Gaussian dynamic Bayesian network (CLG DBN)

Track a changing numerical system even when its behavior switches between distinct operating modes.

Extend conditional linear Gaussian relationships across time while retaining categorical regimes.

Also known as: CLGDBN.

The model in pictures

ManeuverMode, Velocity and RangeToTarget appear in two time panels with within-step and cross-step arrows.

Maneuvering Aircraft Tracker

Conditional linear Gaussian dynamic Bayesian network (CLG DBN)

A time-based model combining discrete modes with numeric measurements. The mode selects a linear, Gaussian motion pattern as the system evolves.

How does an evasive maneuver change the expected range to the tracked aircraft?

Two time panels repeat the maneuver category, velocity and range. Dashed arrows carry state forward; numeric curves summarize uncertainty within the mode mixture. The highlighted nodes mark entered evidence and a query target.

Synthetic example, not real patient, customer or operational data.

Variables and symbols

ManeuverMode
The flight category: steady or evasive.
Velocity
The modeled numeric velocity.
RangeToTarget
The modeled distance to the tracked target; the fixture does not declare a physical unit.
t, lag, Obs
t is the time-step index; lag 0 is within a step and lag 1 is between steps. Obs means observation.

When to use it

Follow a maneuvering aircraft whose motion changes with its flight regime.

Applications

  • Fleet monitoring: follow vehicle motion as maneuver regimes change.
  • Industrial operations: estimate process state across startup, steady, and fault regimes.

Why it matters

The forecast identifies both a likely regime and trajectory; causal modes compare how a declared input would redirect that modeled path.

Questions you can ask

  • What trajectory distribution follows the latest measurement?
  • How does the trajectory change when a control input or regime is set?
  • Given the observed path, what would the model predict under a different control input?

Causal boundary

Supports interventions under the model’s declared structural assumptions.

Counterfactual queries additionally rely on the declared shared-noise model. These answers do not establish that the supplied causal assumptions hold in the real world.

Profile and resource limits

Regime paths and Gaussian mixtures grow with horizon; exact requests refuse excess work rather than silently approximate.

Online uses protected execution with plan and request limits. Check the returned method, exactness, and resource diagnostics for each query.

Existing workspace example

Maneuvering Aircraft Tracker

Track a categorical maneuver mode alongside continuous velocity and range-to-target. Add a sensor reading, then compare exact switching-state inference with Rao-Blackwellized particles.

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Use it in your application

Released through the native engine and host software development kits (SDKs). Online and SDK resource profiles differ; check the documentation bundled with your exact SDK version.

Read SDK guidance and examples

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