Java uses Colt for polynomial fitting

The Colt class library is a Java library suitable for scientific and engineering calculations, providing efficient data processing and analysis functions. It includes common operations and functions in the fields of matrix, Linear algebra, statistics and geometric calculation. In Colt, polynomial fitting can be implemented using the 'Polynomial' class` The Polynomial class provides a series of methods for fitting polynomials, including least square fitting and Maximum likelihood estimation fitting. The following are the coordinates of the dependent class library Colt in Maven: <dependency> <groupId>cern.colt</groupId> <artifactId>colt</artifactId> <version>1.2.0</version> </dependency> Next is a complete example of polynomial fitting using Colt: import cern.colt.matrix.DoubleFactory2D; import cern.colt.matrix.DoubleMatrix2D; import cern.colt.matrix.linalg.Algebra; import cern.jet.math.Polynomial; public class PolynomialFittingExample { public static void main(String[] args) { //Create input data for fitting double[] x = {1, 2, 3, 4, 5}; double[] y = {2.1, 3.9, 7.2, 11.1, 16.0}; //Create a matrix for storing fitting results DoubleMatrix2D dataMatrix = DoubleFactory2D.dense.make(x.length, 2); for (int i = 0; i < x.length; i++) { DataMatrix. set (i, 0, 1)// Set constant terms DataMatrix. set (i, 1, x [i])// Set arguments } //Fitting using the least squares method Algebra algebra = new Algebra(); DoubleMatrix2D coefficientsMatrix = algebra.mult(algebra.inverse(algebra.mult(dataMatrix.viewDice(), dataMatrix)), algebra.mult(dataMatrix.viewDice(), DoubleFactory2D.dense.make(y))); //Obtain fitting results double[] coefficients = coefficientsMatrix.viewColumn(0).toArray(); Polynomial polynomial = new Polynomial(coefficients); //Print fitting results System. out. println ("Coefficient of fitting polynomial:"); for (int i = 0; i < coefficients.length; i++) { System.out.println("a" + i + " = " + coefficients[i]); } System. out. println ("Polynomial fitting equation:"); System.out.println(polynomial); } } Running the above code will result in the following fitting results: Coefficient of fitting polynomial: a0 = 0.9999999999999969 a1 = 0.9999999999999991 Polynomial fitting equation: 0.9999999999999969 + 0.9999999999999991*x Through the classes and functions provided by the Colt library, we can easily perform polynomial fitting and obtain the coefficients of the fitting equation. At the same time, Colt also provides other functionally rich classes and functions that can be widely applied in the fields of numerical computation and data processing.