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marquardt-levenberg

8 Hits, Last modified: 12 years ago

means of optimising parameters in a least squares fit. It is used in our [[software:FluoFit]], [[software:SymPhoTime]] and a variety of other... to be replaced by [[MLE]] fitting. When running a [[MLE]] fit the SymPhoTime software abandons the ML-fitting and switches to a gradient search.

bootstrap

7 Hits, Last modified: 13 years ago

basis of the experimental data and repeating the fit for these simulated data sets. The spread of all the best fit paramter sets generated by these fits serves as a measure for the parameter errors. Specifically, the... at least 1000 data sets have to be simulated and fitted, the bootstrap method seems to be rather time ... nalysis]] and thus can be applied even to [[MLE]] fitting. ===== Implementation ===== The implementa

support_plane_analysis

5 Hits, Last modified: 13 years ago

he support plane analysis is used for analysing [[fitting]] parameter error intervals. It works by calc... r space. For illustration let's start at the best fit parameter set, which can be regarded as a single ... s done by keeping the removed parameter fixed and fitting all the other parameters. By this we deviate ... ===== Advantages and disadvantages ===== Since [[fitting]] is used to derive a functional dependence o

chi_square_management

3 Hits, Last modified: 13 years ago

the optimization parameter for [[least squares]] fitting (for a definition see there). For a perfect fit it should be near 1. As a measure of the goodness-of-fit it is insufficient. Other methods have to be used

asymptotic_standard_errors

3 Hits, Last modified: 12 years ago

otic standard errors (ASE) are used for analyzing fitting parameter error intervals. For illustration let's start at the best fit parameter set, which can be regarded as a single ... c standard errors are supported by [[software:FluoFit]] and the [[software:SymPhoTime]] software. ===

residuals

3 Hits, Last modified: 12 years ago

_i=\sqrt{D_i^{exp}}$$ The resudials trace is of importance within any framework concerned with fitting, as the [[software:SymPhoTime]] software or [[software:FluoFit]].

least_squares

2 Hits, Last modified: 13 years ago

gm for matching data ('{{wiki>Regression_analysis|fitting}}') with a parametrised model equation. A fam... s. The least squares measure for the goodness-of-fit is $$\chi ^2_{red}=\frac{1}{N-n_p}\sum_{i=1}^{N}

poisson_distribution

2 Hits, Last modified: 13 years ago

nu}^{}_{}$. In the Gaussian limit [[least squares]] [[wp>Regression_analysis|fitting]] may be applied, otherwise [[MLE]] [[wp>Regression_analysis|fitting]] is preferable.

monte_carlo

1 Hits, Last modified: 13 years ago

nding initial values for [[wp>Regression_analysis|fitting]] parameters before optimisation by a [[Marqu

fast_lifetime

1 Hits, Last modified: 13 years ago

e single path calculation, compared to a complete fitting operation against a more complex, non-linear

reconvolution

1 Hits, Last modified: 12 years ago

icoQuant software packages (mainly [[software:FluoFit]] and [[software:SymPhoTime]]) for compensating I