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Kalman Filter

1960
MathematicsOptimization & Control TheoryAlgorithmfoundational

Classical recursive estimator for the state of a linear dynamical system from noisy observations (Kalman, "A New Approach to Linear Filtering and Prediction Problems," 1960). Pure control theory decades before any deep-learning application -- the state space models Mamba builds on cite it directly as their conceptual origin.

Originators

  • Kalman, R.E.

Landmark Paper

W2105934661 ↗
Not retracted (OpenAlex)

Checked 2026-09-19 — interim signal only, see docs/BASIC_ROADMAP.md Phase 10

Connections

  • is prerequisite for HiPPO
    basis: reasoned

    Mamba's own introduction cites classical state space models (Kalman 1960) as the direct inspiration for the structured SSM line (Gu, Goel & Ré 2022; Gu, Johnson, Goel, et al. 2021) that HiPPO underlies -- the paper names Kalman filtering as the conceptual root, not a loose analogy.