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MENTAL MODEL · M4765

Kalman Filter

Kalman Filter
SystemsHigh supportSystems Theory
Included
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

A recursive algorithm that estimates the true state of a system by combining the 'prediction from the previous time step' and the 'current measurement' in the presence of noisy (erroneous) data. It neither fully trusts the prediction nor the measurement, but weights them according to their uncertainties.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Dynamically correct deviations. In the face of an uncertain future, do not rigidly adhere to the initial plan (prediction), nor blindly follow the flow (measurement). Like the Kalman filter, continuously update the 'best estimate' of the current state based on new information, and approach the truth amidst noise.

anchor

Anchor fast decisions

Using Bayesian-style recursion, it weights between prediction (model) and measurement (observation) according to their uncertainties, yielding a state estimate with minimum mean square error; the side with smaller uncertainty gets more weight, dynamically approaching the truth.

MINIMUM ACTION

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Source support: Explicit

  • link
    en.wikipedia.orghttps://en.wikipedia.org/wiki/Kalman_filterZH · Explicit
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