Logistic Regression in Python: Handwriting Recognition (numbers from 0 to 9; 1,797 data set for training set 20% and testing set 80%)

Logistic Regression in Python: Handwriting Recognition

0_MacOS_Python_setup.txt

# Install on Terminal of MacOS #pip3 install -U numpy #pip3 install -U scikit-learn #pip3 install -U matplotlib #pip3 install -U statsmodels #pip3 install -U opencv-python

1_MacOS_Terminal.txt

########## Run Terminal on MacOS and execute ### TO UPDATE cd "YOUR_WORKING_DIRECTORY" python3 #Logistic Regression in Python With scikit-learn: Example 1 from lr01 import * #Logistic Regression in Python With scikit-learn: Example 2 from lr02 import * #Logistic Regression in Python With StatsModels: Example #from lr3 import * #Logistic Regression in Python: Handwriting Recognition from lr04 import *

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0. Data

x.csv (1,797-handwriting image file)

,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63 0,0,0,5,13,9,1,0,0,0,0,13,15,10,15,5,0,0,3,15,2,0,11,8,0,0,4,12,0,0,8,8,0,0,5,8,0,0,9,8,0,0,4,11,0,1,12,7,0,0,2,14,5,10,12,0,0,0,0,6,13,10,0,0,0 1,0,0,0,12,13,5,0,0,0,0,0,11,16,9,0,0,0,0,3,15,16,6,0,0,0,7,15,16,16,2,0,0,0,0,1,16,16,3,0,0,0,0,1,16,16,6,0,0,0,0,1,16,16,6,0,0,0,0,0,11,16,10,0,0 2,0,0,0,4,15,12,0,0,0,0,3,16,15,14,0,0,0,0,8,13,8,16,0,0,0,0,1,6,15,11,0,0,0,1,8,13,15,1,0,0,0,9,16,16,5,0,0,0,0,3,13,16,16,11,5,0,0,0,0,3,11,16,9,0 3,0,0,7,15,13,1,0,0,0,8,13,6,15,4,0,0,0,2,1,13,13,0,0,0,0,0,2,15,11,1,0,0,0,0,0,1,12,12,1,0,0,0,0,0,1,10,8,0,0,0,8,4,5,14,9,0,0,0,7,13,13,9,0,0 4,0,0,0,1,11,0,0,0,0,0,0,7,8,0,0,0,0,0,1,13,6,2,2,0,0,0,7,15,0,9,8,0,0,5,16,10,0,16,6,0,0,4,15,16,13,16,1,0,0,0,0,3,15,10,0,0,0,0,0,2,16,4,0,0 5,0,0,12,10,0,0,0,0,0,0,14,16,16,14,0,0,0,0,13,16,15,10,1,0,0,0,11,16,16,7,0,0,0,0,0,4,7,16,7,0,0,0,0,0,4,16,9,0,0,0,5,4,12,16,4,0,0,0,9,16,16,10,0,0 6,0,0,0,12,13,0,0,0,0,0,5,16,8,0,0,0,0,0,13,16,3,0,0,0,0,0,14,13,0,0,0,0,0,0,15,12,7,2,0,0,0,0,13,16,13,16,3,0,0,0,7,16,11,15,8,0,0,0,1,9,15,11,3,0 7,0,0,7,8,13,16,15,1,0,0,7,7,4,11,12,0,0,0,0,0,8,13,1,0,0,4,8,8,15,15,6,0,0,2,11,15,15,4,0,0,0,0,0,16,5,0,0,0,0,0,9,15,1,0,0,0,0,0,13,5,0,0,0,0 8,0,0,9,14,8,1,0,0,0,0,12,14,14,12,0,0,0,0,9,10,0,15,4,0,0,0,3,16,12,14,2,0,0,0,4,16,16,2,0,0,0,3,16,8,10,13,2,0,0,1,15,1,3,16,8,0,0,0,11,16,15,11,1,0 9,0,0,11,12,0,0,0,0,0,2,16,16,16,13,0,0,0,3,16,12,10,14,0,0,0,1,16,1,12,15,0,0,0,0,13,16,9,15,2,0,0,0,0,3,0,9,11,0,0,0,0,0,9,15,4,0,0,0,9,12,13,3,0,0 10,0,0,1,9,15,11,0,0,0,0,11,16,8,14,6,0,0,2,16,10,0,9,9,0,0,1,16,4,0,8,8,0,0,4,16,4,0,8,8,0,0,1,16,5,1,11,3,0,0,0,12,12,10,10,0,0,0,0,1,10,13,3,0,0 11,0,0,0,0,14,13,1,0,0,0,0,5,16,16,2,0,0,0,0,14,16,12,0,0,0,1,10,16,16,12,0,0,0,3,12,14,16,9,0,0,0,0,0,5,16,15,0,0,0,0,0,4,16,14,0,0,0,0,0,1,13,16,1,0 12,0,0,5,12,1,0,0,0,0,0,15,14,7,0,0,0,0,0,13,1,12,0,0,0,0,2,10,0,14,0,0,0,0,0,2,0,16,1,0,0,0,0,0,6,15,0,0,0,0,0,9,16,15,9,8,2,0,0,3,11,8,13,12,4 13,0,2,9,15,14,9,3,0,0,4,13,8,9,16,8,0,0,0,0,6,14,15,3,0,0,0,0,11,14,2,0,0,0,0,0,2,15,11,0,0,0,0,0,0,2,15,4,0,0,1,5,6,13,16,6,0,0,2,12,12,13,11,0,0 14,0,0,0,8,15,1,0,0,0,0,1,14,13,1,1,0,0,0,10,15,3,15,11,0,0,7,16,7,1,16,8,0,0,9,16,13,14,16,5,0,0,1,10,15,16,14,0,0,0,0,0,1,16,10,0,0,0,0,0,10,15,4,0,0 15,0,5,12,13,16,16,2,0,0,11,16,15,8,4,0,0,0,8,14,11,1,0,0,0,0,8,16,16,14,0,0,0,0,1,6,6,16,0,0,0,0,0,0,5,16,3,0,0,0,1,5,15,13,0,0,0,0,4,15,16,2,0,0,0 16,0,0,0,8,15,1,0,0,0,0,0,12,14,0,0,0,0,0,3,16,7,0,0,0,0,0,6,16,2,0,0,0,0,0,7,16,16,13,5,0,0,0,15,16,9,9,14,0,0,0,3,14,9,2,16,2,0,0,0,7,15,16,11,0 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29,0,0,9,13,7,0,0,0,0,0,12,16,16,2,0,0,0,0,12,13,16,6,0,0,0,0,6,16,16,14,0,0,0,0,0,0,2,16,3,0,0,0,0,0,0,9,10,0,0,0,3,7,12,14,16,2,0,0,7,12,12,12,11,0 30,0,0,10,14,11,3,0,0,0,4,16,13,6,14,1,0,0,4,16,2,0,11,7,0,0,8,16,0,0,10,5,0,0,8,16,0,0,14,4,0,0,8,16,0,1,16,1,0,0,4,16,1,11,15,0,0,0,0,11,16,12,3,0,0 31,0,0,2,13,8,0,0,0,0,0,6,16,16,6,0,0,0,0,5,15,13,11,0,0,0,0,0,7,16,15,0,0,0,0,0,0,0,14,3,0,0,0,0,0,0,7,11,0,0,0,0,3,4,4,16,2,0,0,2,15,13,14,13,2 32,0,2,13,16,16,16,11,0,0,5,16,10,5,4,1,0,0,6,16,7,3,0,0,0,0,9,16,16,16,6,0,0,0,3,8,4,11,15,0,0,0,0,0,1,12,15,0,0,0,0,4,13,16,6,0,0,0,2,16,15,8,0,0,0 33,0,6,13,5,8,8,1,0,0,8,16,16,16,16,6,0,0,6,16,9,6,4,0,0,0,6,16,16,15,5,0,0,0,0,4,5,15,12,0,0,0,0,0,3,16,9,0,0,0,1,8,13,15,3,0,0,0,4,16,15,3,0,0,0 34,0,0,0,5,14,2,0,0,0,0,1,13,11,0,0,0,0,0,5,16,2,0,0,0,0,0,6,15,5,0,0,0,0,1,15,16,15,11,1,0,0,2,13,14,1,12,9,0,0,0,4,16,7,13,9,0,0,0,0,5,16,15,3,0 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y.csv (1,797 observations / actual outputs for supervised learning; correct values = 0, 1, 2, ..., or 9)

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Python files

lr01.py

######### Logistic Regression in Python: Handwriting Recognition #lr01.py #####Step 1: Import Packages import pandas as pd import numpy as np from PIL import Image import math #####Step 2: Get Data xtmp = pd.read_csv("x.csv", index_col=0) xtmp = xtmp.values    #covert pandas to numpy.ndarray x = xtmp ytmp = pd.read_csv("y.csv", index_col=0) ytmp = ytmp.values    #covert pandas to numpy.ndarray y = ytmp #####Step 3: Convert integers to images maxx = int(np.max(x)) #formatted = (x * 255 / np.max(x)).astype('uint8') formatted = (x * 255 / maxx).astype('uint8') pd.DataFrame(data=formatted, dtype="Int64").to_csv("formatted.csv") fr = formatted.shape[0] #1797 fc = formatted.shape[1] #64 fd = int(math.sqrt(fc)) #8 i = 0 for i in range(fr):     tmpformatted = formatted[i][0:fc].reshape(fd,fd)     tmpimg = Image.fromarray(tmpformatted)     filename = 'img_{0}.png'.format(i)     tmpimg.save(filename)

lr02.py

######### Logistic Regression in Python: Handwriting Recognition #lr02.py ##### convert image files to int data #####Step 1: Import Packages import cv2 import numpy as np from PIL import Image import pandas as pd import math #####Step 2: Get Data xtmp = pd.read_csv("x.csv", index_col=0) xtmp = xtmp.values    #covert pandas to numpy.ndarray x = xtmp ytmp = pd.read_csv("y.csv", index_col=0) ytmp = ytmp.values    #covert pandas to numpy.ndarray y = ytmp #####Step 3: Convert integers to images maxx = int(np.max(x)) formatted = (x * 255 / np.max(x)).astype('uint8') fr = formatted.shape[0] #fr = 1797 #1797 fc = formatted.shape[1] #fc = 64 #64 fd = int(math.sqrt(fc)) #fd = 8 #8 tmpx = np.arange(fr*fc).reshape(fr, fc) i = 0 j = 0 for i in range(fr):     #     filename = 'img_{0}.png'.format(i)     tmpimg = cv2.imread(filename)     tmpint = np.array(tmpimg).astype(int)     tmpint2 = tmpint[:, :, 0].reshape(1, 64)     #     for j in range(fc):         tmpx[i][j] = int((0.2989 * tmpint2[0][j] + 0.5870 * tmpint2[0][j] + 0.1140 * tmpint2[0][j])/255 * maxx)     #     tmpimg2 = tmpx[i].reshape(fd,fd)     tmpimg3 = tmpimg2 * 255/tmpimg2.max().astype('uint8')     tmpimg4 = Image.fromarray(tmpimg3.astype(np.uint8))     filename2 = 'img_out_{0}.png'.format(i)     tmpimg4.save(filename2)     #     j = 0

lr04.py

######### Logistic Regression in Python: Handwriting Recognition # lr04.py # This example is about image recognition.To be more precise, you’ll work on the recognition of handwritten digits. You’ll use a dataset with 1797 observations, each of which is an image of one handwritten digit. Each image has 64 px, with a width of 8 px and a height of 8 px. #The inputs (x ) are vectors with 64 dimensions or values. Each input vector describes one image. Each of the 64 values represents one pixel of the image. The input values are the integers between 0 and 16, depending on the shade of gray for the corresponding pixel. #The output (y ) for each observation is an integer between 0 and 9, consistent with the digit on the image. There are ten classes in total, each corresponding to one image. #####Step 1: Import Packages import matplotlib.pyplot as plt import numpy as np from sklearn.datasets import load_digits from sklearn.linear_model import LogisticRegression from sklearn.metrics import classification_report, confusion_matrix from sklearn.model_selection import train_test_split from sklearn.preprocessing import StandardScaler ##### import pandas library import pandas as pd #####Step 2a: Get Data xtmp = pd.read_csv("x.csv", index_col=0) xtmp = xtmp.values    #covert pandas to numpy.ndarray x = xtmp ytmp = pd.read_csv("y.csv", index_col=0) ytmp = ytmp.values    #covert pandas to numpy.ndarray y = ytmp #####Step 2b: Split Data x_train, x_test, y_train, y_test =\     train_test_split(x, y, test_size=0.2, random_state=0) #####Step 2c: Scale Data # #Standardization is the process of transforming data in a way such that the mean of each column becomes equal to zero, and the standard deviation of each column is one. This way, you obtain the same scale for all columns. scaler = StandardScaler() x_train = scaler.fit_transform(x_train)    #Now, x_train is a standardized input array. #####Step 3: Create a Model and Train It model = LogisticRegression(solver='liblinear', C=0.05, multi_class='ovr', random_state=0) #multi_class parameter of LogisticRegression: # - 'ovr' to make the binary fit for each class # - 'multinomial' to apply the multinomial loss fit. model.fit(x_train, y_train) #####Step 4: Evaluate the Model x_test = scaler.transform(x_test)    #standardize x_test y_pred = model.predict(x_test) model.score(x_train, y_train) # model.score(x_test, y_test) # confusion_matrix(y_test, y_pred) cm = confusion_matrix(y_test, y_pred) fig, ax = plt.subplots(figsize=(8, 8)) ax.imshow(cm) ax.grid(False) ### added font_size font_size = 10 ax.set_xlabel('Predicted outputs', fontsize=font_size, color='black') ax.set_ylabel('Actual outputs', fontsize=font_size, color='black') ax.xaxis.set(ticks=range(10)) ax.yaxis.set(ticks=range(10)) ax.set_ylim(9.5, -0.5) for i in range(10):     for j in range(10):         ax.text(j, i, cm[i, j], ha='center', va='center', color='white') # show a figure #plt.show() # # save a figure as png plt.savefig('figure_ex4.png') print(classification_report(y_test, y_pred))

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Reference

Logistic Regression in Python by Mirko Stojiljkovic
https://realpython.com/logistic-regression-python/