In [1]:

    

%load_ext autoreload
%autoreload 2
%matplotlib inline


    

In [2]:

    

from IPython.html.widgets import interact
from matplotlib import pylab as plt
import matplotlib as mpl
import numpy as np
mpl.rcParams['figure.figsize'] = (16, 6)


    

In [3]:

    

def sigmoid(*theta):
    # Convert to column vector
    theta = np.array(theta).reshape(len(theta), 1)
    
    def _sigmoid(x):
        # Add 'constant' intercept vector
        X = np.hstack([np.ones(x.shape[0]).reshape(x.shape[0], 1), x])
        
        return 1. /( 1. + np.exp(-1 * (X.dot(theta))) )
    return _sigmoid


    

In [4]:

    

def interactive_sigmoid(intercept=1, slope=1):
    h = sigmoid(intercept, slope)
    x = np.linspace(-15, 15, 100).reshape(100, 1)
    y = h(x)
    plt.plot(x, y)


    

In [5]:

    

interact(interactive_sigmoid, intercept=(-15., 15., 0.1), slope=(-3., 3., 0.1))


    

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