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ParameterEstimation.jl - Algebraic Parameter Estimation in ODEs

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Overview

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Explore an innovative algebraic approach to parameter estimation in ordinary differential equations (ODEs) using the ParameterEstimation.jl package. Learn how this method transforms the traditional nonlinear optimization problem into solving an algebraic system, avoiding common pitfalls like local minima and the need for good initial guesses. Discover how the original baryrational interpolation technique has been enhanced with Gaussian Process Regression (GPR) to significantly improve robustness against measurement noise in real-world data. Understand the theoretical foundation based on Bassik et al.'s algorithm and see practical demonstrations of the new Julia implementation. Examine benchmark results showing improved performance on noisy data compared to traditional optimization methods. Gain insights into the package's current development status, including ongoing work on examples and benchmarks for realistic applications. See how this approach benefits practitioners in modeling and control by providing a more reliable alternative to conventional parameter estimation techniques.

Syllabus

ParameterEstimation.jl: Algebraic Parameter Estimation in ODEs | Bassik | JuliaCon Global 2025

Taught by

The Julia Programming Language

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