From 90b34ab03497a12b3d835d6a788cca9e27fbe707 Mon Sep 17 00:00:00 2001 From: sanath vernekar Date: Tue, 10 Apr 2018 18:53:34 +0530 Subject: [PATCH] Add files via upload --- Activity4_Data1.xlsx | Bin 0 -> 10653 bytes Activity4_Data2.xlsx | Bin 0 -> 9589 bytes Activity_1_Data.xlsx | Bin 20300 -> 20306 bytes Activity_2_Data.xlsx | Bin 0 -> 36756 bytes Activity_3_Data.xlsx | Bin 0 -> 13170 bytes Fit_1st_order_curve(straight_line).py | 103 ++++++++++++++++ Gradient_descent_with_bias.py | 170 ++++++++++++++++++++++++++ SSD_of_array.py | 82 +++++++++++++ fit_2_order_curve.py | 54 ++++++++ gradient_descent.py | 50 ++++++++ gradient_descent_polynomial_fit.py | 104 ++++++++++++++++ gradient_descent_without_bias.py | 109 +++++++++++++++++ standard_deviation.py | 25 ++++ 13 files changed, 697 insertions(+) create mode 100644 Activity4_Data1.xlsx create mode 100644 Activity4_Data2.xlsx create mode 100644 Activity_2_Data.xlsx create mode 100644 Activity_3_Data.xlsx create mode 100644 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cost_J=cost_J+(((theta1*X[i])-Y[i])*X[i]) + count+=1 + temp=theta1-(alpha/m)*cost_J + theta_prev=theta1 + theta1=temp + + +h=[] +for i in range(m): + h.append(theta1*X[i]+theta0) + +h=np.array(h) +plt.figure(2) +plt.xlabel("X") +plt.ylabel("Hypothesis") +plt.plot(X,Y) +plt.plot(X,h) +plt.show() + + +print("number of iterations took to converge is ",count) +test_x=float(input("Enter a test sample:")) +predicted_y=(test_x*theta1)+theta0 +print ("theta0",theta0,"theta1",theta1) +print("Assumed theta1 ",init_theta1,"new theta1 is",theta1) + +print ("The value of predicted y is",predicted_y) +print(" ") + +print("Importance feature scaling ,here you can see that the number of iteration it took to calculate the theta0 and theta1 are ",count," iterations ,so here if we scale down the x and y values to certain range i.e by normalisation,we can reduce the number of iterations it took to calculate the theta0 and theta1 ,or the other way is to judge the random theta0 and theta1 values by seeing the plot which are very close to each other ,so by this also we can reduce the number of iterations and computing time of the program") + + + + + + +""" + +for j in range(m): + res_theta1=res_theta1+((theta0+theta1*x[j])-y[j])*x[j] +new_theta1=theta1-((alpha/m)*res_theta1) + +print("Assumed Theta1 is ",theta1,"new Theta1 is",new_theta1) + +hyp=[] +#hypothesis function +#predicting the values for different values of x +for ele in x: + hyp.append(theta0+(new_theta1*ele)) +hyp=np.array(hyp) +plt.figure(2) +plt.plot(x,y) +plt.plot(x,hyp) +plt.show() + + + +""" + + + + + + + diff --git a/standard_deviation.py b/standard_deviation.py new file mode 100644 index 0000000..1de53fd --- /dev/null +++ b/standard_deviation.py @@ -0,0 +1,25 @@ +# -*- coding: utf-8 -*- +""" +Created on Thu Apr 5 18:45:01 2018 + +@author: sanath +""" + +import math + +def mean(arr,n): + + result=sum(arr)/n + return result +def standard_deviation(arr,n): + u=mean(arr,n) + temp=0 + for i in range(n): + temp=temp+((arr[i]-u)**2) + temp=temp/n + result=math.sqrt(temp) + + return result +n=int(input()) +arr=[int(x) for x in input().split()] +print("{0:.1f}".format(standard_deviation(arr,n)))