C#实现非线性回归方法 传入参数为Func<Vector<double>, Vector<double>>, Vector<double> ,double[] 提供需要引用的包以及包的版本

实现非线性回归可以使用 MathNet.Numerics 库中的 LevenbergMarquardtNonlinearSolver 类。以下是一个示例代码：

using MathNet.Numerics.LinearAlgebra;
using MathNet.Numerics.Optimization;
using MathNet.Numerics.Optimization.ObjectiveFunctions;

public class NonlinearRegression
{
    public void Train(Func<Vector<double>, Vector<double>> function,
                     Vector<double> initialGuess,
                     double[] yData)
    {
        // Create the objective function with the given function and data
        IObjectiveFunction objectiveFunction = ObjectiveFunction.Value(x =>
        {
            Vector<double> y = function(x);
            return y.Subtract(DenseVector.OfArray(yData)).L2Norm();
        });

        // Create the solver with the initial guess and objective function
        LevenbergMarquardtNonlinearSolver solver = new LevenbergMarquardtNonlinearSolver(initialGuess, objectiveFunction);

        // Solve the problem
        MinimizationResult result = solver.Solve();

        // The optimal parameters are in the solution vector
        Vector<double> optimalParameters = result.MinimizingPoint;
    }
}

需要引用 MathNet.Numerics 和 MathNet.Numerics.LinearAlgebra 包，版本号可以根据需要自行选择。建议使用 NuGet 包管理器添加这些包到项目中。