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The Kalman filter can be interpreted as a feedback approach to minimize the least equare error. It can be applied to solve a nonlinear least square optimization problem. This function provides a way using the unscented Kalman filter to solve nonlinear least square optimization problems. Three examples are included: a general optimization problem, a problem to solve a set of nonlinear equations represented by a neural network model and a neural network training problem.
This function needs the unscented Kalman filter function, which can be download from the following link:
http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=18217&objectType=FILE
Cite As
Yi Cao (2026). Nonlinear least square optimization through parameter estimation using the Unscented Kalman Filter (https://nl.mathworks.com/matlabcentral/fileexchange/18356-nonlinear-least-square-optimization-through-parameter-estimation-using-the-unscented-kalman-filter), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired by: Learning the Unscented Kalman Filter, Unconstrained Optimization using the Extended Kalman Filter
General Information
- Version 1.0.0.0 (2.37 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.0.0.0 | update description |
