@jacobq/ml-levenberg-marquardt
v1.0.3-pr.26
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Curve fitting method in javascript
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levenberg-marquardt
Curve fitting method in javascript
Installation
$ npm install ml-levenberg-marquardt
API Documentation
This algorithm is based on the article Brown, Kenneth M., and J. E. Dennis. "Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation." Numerische Mathematik 18.4 (1971): 289-297.
In order to get a general idea of the problem you could also check the Wikipedia article.
Example
// import library
import LM from 'ml-levenberg-marquardt';
// const LM = require('ml-levenberg-marquardt').default;
// function that receives the parameters and returns
// a function with the independent variable as a parameter
function sinFunction([a, b]) {
return (t) => a * Math.sin(b * t);
}
// array of points to fit
let data = {
x: [
/* x1, x2, ... */
],
y: [
/* y1, y2, ... */
]
};
// array of initial parameter values
let initialValues = [
/* a, b, c, ... */
];
// Optionally, restrict parameters to minimum & maximum values
let minValues = [
/* a_min, b_min, c_min, ... */
];
let maxValues = [
/* a_max, b_max, c_max, ... */
];
const options = {
damping: 1.5,
initialValues,
minValues,
maxValues,
gradientDifference: 10e-2,
maxIterations: 100,
errorTolerance: 10e-3
};
let fittedParams = LM(data, sinFunction, options);
Or test it in Runkit