Enhanced Levenberg-Marquardt Algorithm with Residual Function Support#1116

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diluculo wants to merge 9 commits intomathnet:masterfrom

diluculo:LMfromResidual

Commits on Mar 21, 2025

Rename NonlinearObjectiveFunction to NonlinearObjectiveModel to better reflect its purpose in modeling optimization problems
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Add direct residual function support to NonlinearObjectiveModel and related interfaces
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Improve numerical differentiation in NonlinearObjectiveModel
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Add factor of 2.0 to covariance calculation to compensate for 1/2 in objective function
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Apply MINPACK-style cubic damping and trust-region update to LM optimizer
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Fix missing variable copies in CreateNew() method of NonlinearObjectiveModel
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Add direct residual circle fitting test to NonLinearCurveFittingTests
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Add comprehensive statistical metrics to NonlinearMinimizationResult
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Commits on Mar 22, 2025

Add ParameterStatistics class for computing parameter inference statistics
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