自适应线性神经网络Adaline的python实现详解

yipeiwu_com6年前Python基础

自适应线性神经网络Adaptive linear network, 是神经网络的入门级别网络。

相对于感知器,采用了f(z)=z的激活函数,属于连续函数。

代价函数为LMS函数,最小均方算法,Least mean square。

实现上,采用随机梯度下降,由于更新的随机性,运行多次结果是不同的。

'''
Adaline classifier

created on 2019.9.14
author: vince
'''
import pandas 
import math
import numpy 
import logging
import random
import matplotlib.pyplot as plt

from sklearn.datasets import load_iris
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score

'''
Adaline classifier

Attributes
w: ld-array = weights after training
l: list = number of misclassification during each iteration 
'''
class Adaline:
  def __init__(self, eta = 0.001, iter_num = 500, batch_size = 1):
    '''
    eta: float = learning rate (between 0.0 and 1.0).
    iter_num: int = iteration over the training dataset.
    batch_size: int = gradient descent batch number, 
      if batch_size == 1, used SGD; 
      if batch_size == 0, use BGD; 
      else MBGD;
    '''

    self.eta = eta;
    self.iter_num = iter_num;
    self.batch_size = batch_size;

  def train(self, X, Y):
    '''
    train training data.
    X:{array-like}, shape=[n_samples, n_features] = Training vectors, 
      where n_samples is the number of training samples and 
      n_features is the number of features.
    Y:{array-like}, share=[n_samples] = traget values.
    '''
    self.w = numpy.zeros(1 + X.shape[1]);
    self.l = numpy.zeros(self.iter_num);
    for iter_index in range(self.iter_num):
      for rand_time in range(X.shape[0]): 
        sample_index = random.randint(0, X.shape[0] - 1);
        if (self.activation(X[sample_index]) == Y[sample_index]):
          continue;
        output = self.net_input(X[sample_index]);
        errors = Y[sample_index] - output;
        self.w[0] += self.eta * errors;
        self.w[1:] += self.eta * numpy.dot(errors, X[sample_index]);
        break;
      for sample_index in range(X.shape[0]): 
        self.l[iter_index] += (Y[sample_index] - self.net_input(X[sample_index])) ** 2 * 0.5;
      logging.info("iter %s: w0(%s), w1(%s), w2(%s), l(%s)" %
          (iter_index, self.w[0], self.w[1], self.w[2], self.l[iter_index]));
      if iter_index > 1 and math.fabs(self.l[iter_index - 1] - self.l[iter_index]) < 0.0001: 
        break;

  def activation(self, x):
    return numpy.where(self.net_input(x) >= 0.0 , 1 , -1);

  def net_input(self, x): 
    return numpy.dot(x, self.w[1:]) + self.w[0];

  def predict(self, x):
    return self.activation(x);

def main():
  logging.basicConfig(level = logging.INFO,
      format = '%(asctime)s %(filename)s[line:%(lineno)d] %(levelname)s %(message)s',
      datefmt = '%a, %d %b %Y %H:%M:%S');

  iris = load_iris();

  features = iris.data[:99, [0, 2]];
  # normalization
  features_std = numpy.copy(features);
  for i in range(features.shape[1]):
    features_std[:, i] = (features_std[:, i] - features[:, i].mean()) / features[:, i].std();

  labels = numpy.where(iris.target[:99] == 0, -1, 1);

  # 2/3 data from training, 1/3 data for testing
  train_features, test_features, train_labels, test_labels = train_test_split(
      features_std, labels, test_size = 0.33, random_state = 23323);
  
  logging.info("train set shape:%s" % (str(train_features.shape)));

  classifier = Adaline();

  classifier.train(train_features, train_labels);
    
  test_predict = numpy.array([]);
  for feature in test_features:
    predict_label = classifier.predict(feature);
    test_predict = numpy.append(test_predict, predict_label);

  score = accuracy_score(test_labels, test_predict);
  logging.info("The accruacy score is: %s "% (str(score)));

  #plot
  x_min, x_max = train_features[:, 0].min() - 1, train_features[:, 0].max() + 1;
  y_min, y_max = train_features[:, 1].min() - 1, train_features[:, 1].max() + 1;
  plt.xlim(x_min, x_max);
  plt.ylim(y_min, y_max);
  plt.xlabel("width");
  plt.ylabel("heigt");

  plt.scatter(train_features[:, 0], train_features[:, 1], c = train_labels, marker = 'o', s = 10);

  k = - classifier.w[1] / classifier.w[2];
  d = - classifier.w[0] / classifier.w[2];

  plt.plot([x_min, x_max], [k * x_min + d, k * x_max + d], "go-");

  plt.show();
  

if __name__ == "__main__":
  main();

以上就是本文的全部内容,希望对大家的学习有所帮助,也希望大家多多支持【听图阁-专注于Python设计】。

相关文章

Python中几种导入模块的方式总结

模块内部封装了很多实用的功能,有时在模块外部调用就需要将其导入。常见的方式有如下几种: 1 . import >>> import sys >>>...

开始着手第一个Django项目

一但你安装好了python,django和(可选的)数据库及相关库,你就可以通过创建一个project,迈出开发django应用的第一步。 项目 是 Django 实例的一系列设置的集合...

Python线程之定位与销毁的实现

Python线程之定位与销毁的实现

背景 开工前我就觉得有什么不太对劲,感觉要背锅。这可不,上班第三天就捅锅了。 我们有个了不起的后台程序,可以动态加载模块,并以线程方式运行,通过这种形式实现插件的功能。而模块更新时候,后...

Python生命游戏实现原理及过程解析(附源代码)

Python生命游戏实现原理及过程解析(附源代码)

1. 生命游戏是什么 生命游戏是英国数学家约翰·何顿·康威在1970年发明的细胞自动机。它包括一个二维矩形世界,这个世界中的每个方格居住着一个活着的或死了的细胞。一个细胞在下一个时刻生...

解决Python中回文数和质数的问题

解决Python中回文数和质数的问题

一、前言 今天学习视频时课后作业是找出1000以内既是素数又是回文数的数,写代码这个很容易,结果一运行遇到了bug,输出结果跟预期不一样,调试了快30min,再接着一通搜索和回看视频才发...