ml.js
ml 是很多库的一个集合，大约有如下这么种库：
ml分类.png
基本涵盖数组运算、矩阵运算、各种线性回归及非线性回归。现在来逐一解释每个包的功能，以后逐一进行实践。
名词解释
ml-array
ml-array-max 求得数组中最大元素。
import max from 'ml-array-max';
const result = max([1, 5, 3, 2, 4]);
//result = 5
ml-array-min 求得数组中最小元素。
import min from 'ml-array-min';
const result = min([1, 5, 3, 2, 4]);
//result = 1
ml-array-rescale 进行数组乘除变化。
import rescale from 'ml-array-rescale';
const result = rescale([0, 1, 2, 3, 4]);
// [0, 0.25, 0.5, 0.75, 1]
ml-distance-euclidean 求两向量的欧式距离
euclidean(p, q)
//Returns the Euclidean distance between vectors p and q.
euclidean.squared(p, q)
//Returns the squared Euclidean distance between vectors p and q.
ml-kernel
ml-kernel 核函数计算相关包。
常用的有以下几种：
-
linear线性核函数估计 -
gaussian或rbf高斯核函数估计 -
polynomial或poly多项核函数估计 -
exponential指数核函数估计 -
sigmoidsigmoid核函数估计
ml-matrix
ml-matrix 包含所有矩阵运算需要的API
const {Matrix} = require('ml-matrix');
var A = new Matrix([[1, 1], [2, 2]]);
var B = new Matrix([[3, 3], [1, 1]]);
var C = new Matrix([[3, 3], [1, 1]]);
// ============================
// Operations with the matrix :
// =============================
// operations :
const addition = Matrix.add(A, B); // addition = Matrix [[4, 4], [3, 3], rows: 2, columns: 2]
const substraction = Matrix.sub(A, B); // substraction = Matrix [[-2, -2], [1, 1], rows: 2, columns: 2]
const multiplication = A.mmul(B); // multiplication = Matrix [[4, 4], [8, 8], rows: 2, columns: 2]
const mulByNumber = Matrix.mul(A, 10); // mulByNumber = Matrix [[10, 10], [20, 20], rows: 2, columns: 2]
const divByNumber = Matrix.div(A, 10); // divByNumber = Matrix [[0.1, 0.1], [0.2, 0.2], rows: 2, columns: 2]
const modulo = Matrix.mod(B, 2); // modulo = Matrix [[ 1, 1], [1, 1], rows: 2, columns: 2]
const maxMatrix = Matrix.max(A, B); // max = Matrix [[3, 3], [2, 2], rows: 2, columns: 2]
const minMatrix = Matrix.min(A, B); // max = Matrix [[1, 1], [1, 1], rows: 2, columns: 2]
// Inplace operations : (consider that Cinit = C before all the operations below)
C.add(A); // => C = Cinit + A
C.sub(A); // => C = Cinit
C.mul(10); // => C = 10 * Cinit
C.div(10); // => C = Cinit
C.mod(2); // => C = Cinit % 2
// Standard Math operations : (abs, cos, round, etc.)
var A = new Matrix([[1, 1], [-1, -1]]);
var expon = Matrix.exp(A); // expon = Matrix [[Math.exp(1), Math.exp(1)], [Math.exp(-1), Math.exp(-1)], rows: 2, columns: 2].
var cosinus = Matrix.cos(A); // cosinus = Matrix [[Math.cos(1), Math.cos(1)], [Math.cos(-1), Math.cos(-1)], rows: 2, columns: 2].
var absolute = Matrix.abs(A); // expon = absolute [[1, 1], [1, 1], rows: 2, columns: 2].
// you can use 'abs', 'acos', 'acosh', 'asin', 'asinh', 'atan', 'atanh', 'cbrt', 'ceil', 'clz32', 'cos', 'cosh', 'exp', 'expm1', 'floor', 'fround', 'log', 'log1p', 'log10', 'log2', 'round', 'sign', 'sin', 'sinh', 'sqrt', 'tan', 'tanh', 'trunc'
// Note : you can do it inplace too as A.abs()
// ============================
// Manipulation of the matrix :
// =============================
var numberRows = A.rows; // A has 2 rows
var numberCols = A.columns; // A has 2 columns
var firstValue = A.get(0, 0); // get(rows, columns)
var numberElements = A.size; // 2 * 2 = 4 elements
var isRow = A.isRowVector(); // false because A has more that 1 row
var isColumn = A.isColumnVector(); // false because A has more that 1 column
var isSquare = A.isSquare(); // true, because A is 2 * 2 matrix
var isSym = A.isSymmetric(); // false, because A is not symmetric
// remember : A = Matrix [[1, 1], [-1, -1], rows: 2, columns: 2]
A.set(1, 0, 10); // A = Matrix [[1, 1], [10, -1], rows: 2, columns: 2]. We have change the second row and the first column
var diag = A.diag(); // diag = [1, -1], i.e values in the diagonal.
var m = A.mean(); // m = 2.75
var product = A.prod(); // product = -10, i.e product of all values of the matrix
var norm = A.norm(); // norm = 10.14889156509222, i.e Frobenius norm of the matrix
var transpose = A.transpose(); // tranpose = Matrix [[1, 10], [1, -1], rows: 2, columns: 2]
// ============================
// Instanciation of matrix :
// =============================
var z = Matrix.zeros(3, 2); // z = Matrix [[0, 0], [0, 0], [0, 0], rows: 3, columns: 2]
var z = Matrix.ones(2, 3); // z = Matrix [[1, 1, 1], [1, 1, 1], rows: 2, columns: 3]
var z = Matrix.eye(3, 4); // Matrix [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], rows: 3, columns: 4]. there are 1 only in the diagonal
ml-regression
ml-regression-simple-linear 一元线性回归
import SimpleLinearRegression from 'ml-regression-simple-linear';
const x = [0.5, 1, 1.5, 2, 2.5];
const y = [0, 1, 2, 3, 4];
const regression = new SimpleLinearRegression(x, y);
regression.slope // 2
regression.intercept // -1
regression.coefficients // [-1, 2]
regression.predict(3); // 5
regression.computeX(3.5); // 2.25
regression.toString(); // 'f(x) = 2 * x - 1'
regression.score(x, y);
// { r: 1, r2: 1, chi2: 0, rmsd: 0 }
const json = regression.toJSON();
// { name: 'simpleLinearRegression', slope: 2, intercept: -1 }
const loaded = SimpleLinearRegression.load(json);
loaded.predict(5) // 9
ml-regression-multivariate-linear 多元线性回归
import MLR from 'ml-regression-multivariate-linear';
const x = [[0, 0], [1, 2], [2, 3], [3, 4]];
// Y0 = X0 * 2, Y1 = X1 * 2, Y2 = X0 + X1
const y = [[0, 0, 0], [2, 4, 3], [4, 6, 5], [6, 8, 7]];
const mlr = new MLR(x, y);
console.log(mlr.predict([3, 3]));
ml-regression-polynomial 多项式回归
import PolynomialRegression from 'ml-regression-polynomial';
const x = [50, 50, 50, 70, 70, 70, 80, 80, 80, 90, 90, 90, 100, 100, 100];
const y = [3.3, 2.8, 2.9, 2.3, 2.6, 2.1, 2.5, 2.9, 2.4, 3.0, 3.1, 2.8, 3.3, 3.5, 3.0];
const degree = 5; // setup the maximum degree of the polynomial
const regression = new PolynomialRegression(x, y, degree);
console.log(regression.predict(80)); // Apply the model to some x value. Prints 2.6.
console.log(regression.coefficients); // Prints the coefficients in increasing order of power (from 0 to degree).
console.log(regression.toString(3)); // Prints a human-readable version of the function.
console.log(regression.toLaTeX());
console.log(regression.score(x, y));
