Optimization or Architecture: How to Hack Kalman Filtering
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Abstract (arXiv)
In non-linear filtering, it is traditional to compare non-linear architectures such as neural networks to the standard linear Kalman Filter (KF). We observe that this mixes the evaluation of two separate components: the non-linear architecture, and the parameters optimization method. In particular, the non-linear model is often optimized, whereas the reference KF model is not. We argue that both should be optimized similarly, and to that end present the Optimized KF (OKF). We demonstrate that the KF may become competitive to neural models - if optimized using OKF. This implies that experimental conclusions of certain previous studies were derived from a flawed process. The advantage of OKF over the standard KF is further studied theoretically and empirically, in a variety of problems. Conveniently, OKF can replace the KF in real-world systems by merely updating the parameters.
Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Builds on 11 of its 54 references that are in the map. First posted on arXiv 1 Oct 2023.
Builds on
11 of 54 references.
References · 11
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Built on by
Citing papers per year: 2024: 1; 2025: 3; 2026: 4.
8 papers.
- 2024Pathspace Kalman Filters with Dynamic Process Uncertainty for Analyzing Time-course Datacited by 0
- 2025DIMM: Decoupled Multi-hierarchy Kalman Filter for 3D Object Trackingcited by 0
- 2025Learning MMSE Filters for OFDM Channel Estimation: Attention Transformer Gains at Linear Inferencecited by 0
- 2025Data-Driven Discovery of Interpretable Kalman Filter Variants through Large Language Models and Genetic Programmingcited by 0
- 2026The Kalman Evolve: Closing the Gap in Kalman Filtering via Interpretable Algorithm Discoverycited by 0
- 2026Hybrid Adaptive Kalman Filtering for Data-Efficient Joint Tracking and Classificationcited by 0
- 2026Structured Noise Adaptation for Sequential Bayesian Filtering with Embedded Latent Transfer Operatorscited by 0
- 2026Online Learning via Learned Latent Bayesian Trackingcited by 0
- 2026Online Learning via Learned Latent Bayesian Tracking25 Sep 2026
- 2026Structured Noise Adaptation for Sequential Bayesian Filtering with Embedded Latent Transfer Operators12 Jun 2026
- 2026Hybrid Adaptive Kalman Filtering for Data-Efficient Joint Tracking and Classification1 Jun 2026
- 2026The Kalman Evolve: Closing the Gap in Kalman Filtering via Interpretable Algorithm Discovery26 May 2026
- 2025Data-Driven Discovery of Interpretable Kalman Filter Variants through Large Language Models and Genetic Programming13 Aug 2025
- 2025Learning MMSE Filters for OFDM Channel Estimation: Attention Transformer Gains at Linear Inference31 May 2025
- 2025DIMM: Decoupled Multi-hierarchy Kalman Filter for 3D Object Tracking18 May 2025
- 2024Pathspace Kalman Filters with Dynamic Process Uncertainty for Analyzing Time-course Data7 Feb 2024