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1,425 changes: 1,425 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-1/Assignment-1.ipynb

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1,000 changes: 1,000 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-1/data.txt

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1,492 changes: 1,492 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-2/exercise1.ipynb

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100 changes: 100 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-3/Data/ex2data1.txt
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118 changes: 118 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-3/Data/ex2data2.txt
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1,122 changes: 1,122 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-3/exercise2.ipynb

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147 changes: 147 additions & 0 deletions Phase 3 - 2020 (Summer)/Lohith_194101034/Week-3/utils.py
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import sys
import numpy as np
from matplotlib import pyplot

sys.path.append('..')
from submission import SubmissionBase


def mapFeature(X1, X2, degree=6):
"""
Maps the two input features to quadratic features used in the regularization exercise.

Returns a new feature array with more features, comprising of
X1, X2, X1.^2, X2.^2, X1*X2, X1*X2.^2, etc..

Parameters
----------
X1 : array_like
A vector of shape (m, 1), containing one feature for all examples.

X2 : array_like
A vector of shape (m, 1), containing a second feature for all examples.
Inputs X1, X2 must be the same size.

degree: int, optional
The polynomial degree.

Returns
-------
: array_like
A matrix of of m rows, and columns depend on the degree of polynomial.
"""
if X1.ndim > 0:
out = [np.ones(X1.shape[0])]
else:
out = [np.ones(1)]

for i in range(1, degree + 1):
for j in range(i + 1):
out.append((X1 ** (i - j)) * (X2 ** j))

if X1.ndim > 0:
return np.stack(out, axis=1)
else:
return np.array(out)


def plotDecisionBoundary(plotData, theta, X, y):
"""
Plots the data points X and y into a new figure with the decision boundary defined by theta.
Plots the data points with * for the positive examples and o for the negative examples.

Parameters
----------
plotData : func
A function reference for plotting the X, y data.

theta : array_like
Parameters for logistic regression. A vector of shape (n+1, ).

X : array_like
The input dataset. X is assumed to be a either:
1) Mx3 matrix, where the first column is an all ones column for the intercept.
2) MxN, N>3 matrix, where the first column is all ones.

y : array_like
Vector of data labels of shape (m, ).
"""
# make sure theta is a numpy array
theta = np.array(theta)

# Plot Data (remember first column in X is the intercept)
plotData(X[:, 1:3], y)

if X.shape[1] <= 3:
# Only need 2 points to define a line, so choose two endpoints
plot_x = np.array([np.min(X[:, 1]) - 2, np.max(X[:, 1]) + 2])

# Calculate the decision boundary line
plot_y = (-1. / theta[2]) * (theta[1] * plot_x + theta[0])

# Plot, and adjust axes for better viewing
pyplot.plot(plot_x, plot_y)

# Legend, specific for the exercise
pyplot.legend(['Admitted', 'Not admitted', 'Decision Boundary'])
pyplot.xlim([30, 100])
pyplot.ylim([30, 100])
else:
# Here is the grid range
u = np.linspace(-1, 1.5, 50)
v = np.linspace(-1, 1.5, 50)

z = np.zeros((u.size, v.size))
# Evaluate z = theta*x over the grid
for i, ui in enumerate(u):
for j, vj in enumerate(v):
z[i, j] = np.dot(mapFeature(ui, vj), theta)

z = z.T # important to transpose z before calling contour
# print(z)

# Plot z = 0
pyplot.contour(u, v, z, levels=[0], linewidths=2, colors='g')
pyplot.contourf(u, v, z, levels=[np.min(z), 0, np.max(z)], cmap='Greens', alpha=0.4)


class Grader(SubmissionBase):
X = np.stack([np.ones(20),
np.exp(1) * np.sin(np.arange(1, 21)),
np.exp(0.5) * np.cos(np.arange(1, 21))], axis=1)

y = (np.sin(X[:, 0] + X[:, 1]) > 0).astype(float)

def __init__(self):
part_names = ['Sigmoid Function',
'Logistic Regression Cost',
'Logistic Regression Gradient',
'Predict',
'Regularized Logistic Regression Cost',
'Regularized Logistic Regression Gradient']
super().__init__('logistic-regression', part_names)

def __iter__(self):
for part_id in range(1, 7):
try:
func = self.functions[part_id]

# Each part has different expected arguments/different function
if part_id == 1:
res = func(self.X)
elif part_id == 2:
res = func(np.array([0.25, 0.5, -0.5]), self.X, self.y)
elif part_id == 3:
J, grad = func(np.array([0.25, 0.5, -0.5]), self.X, self.y)
res = grad
elif part_id == 4:
res = func(np.array([0.25, 0.5, -0.5]), self.X)
elif part_id == 5:
res = func(np.array([0.25, 0.5, -0.5]), self.X, self.y, 0.1)
elif part_id == 6:
res = func(np.array([0.25, 0.5, -0.5]), self.X, self.y, 0.1)[1]
else:
raise KeyError
yield part_id, res
except KeyError:
yield part_id, 0
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