def graph(ynew, h):  # функция графика
    # Интервал изменения переменной по оси X
    xmin = a
    xmax = b
    dx = 0.01  # Шаг между точками
    # список координат по оиси X на отрезке [-xmin; xmax]
    xlist = pylab.frange(xmin, xmax, h)
    xlist2 = pylab.frange(xmin, xmax, dx)
    # значение функции в заданных точках
    ylist = ynew  # построенная
    ylist2 = [real(x) for x in xlist2]  # реальная
    # рисуем графики
    pylab.plot(xlist, ylist)
    pylab.plot(xlist2, ylist2)
    plt.grid(True)
    pylab.show()  #  Покажем  график
Example #2
0
def linear(data, kwargs='for_cv'):
    """
    Linear interpolation of points set
    :param data: List of X, Y
    :param kwargs: Impacts on returning value.
        If 'for_cv, then returns linear function for given data.
        If 'for_plot', then returns standard triple for PLOT function.
        Default: 'for_cv'.
    :return: Initial points set, X, Y(X)
    """
    x, y = data

    x_min = min(x)
    x_max = max(x)
    points = [x, y]

    x = array([[1, x[i][0]] for i in range(len(x))])

    beta = find_betas(x, y)

    if kwargs == 'for_cv':
        def func(arg):
            return beta[0][0] + beta[1][0] * arg

        return func
    elif kwargs == 'for_plot':
        abscissa = frange(x_min, x_max, 0.01)
        ordinate = [beta[0][0] + beta[1][0] * arg for arg in abscissa]

        return points, abscissa, ordinate
Example #3
0
def demo():
    """Demonstrates solution for exercise: example of usage"""
    print "IterateLogistic Demo"
    print "Close plot to continue"
    print "  Creating Bifurcation Diagram"
    BifurcationDiagram(logistic_map, 0.1, 500, 128, pylab.frange(0,
                                                                 1,
                                                                 npts=600))
Example #4
0
    def plotposterior(cls, samples, prior_pdf, name, xmin, xmax):
        xs = mlab.frange(xmin, xmax, (xmax - xmin) / 100)
        ys = [prior_pdf(x) for x in xs]
        plt.plot(xs, ys, label='Prior Dist')

        plt.hist(samples, bins=30, normed=True, label='Posterior Dist')

        plt.title('Prior and Posterior of {}'.format(name))
        plt.ylim(ymin=0)
        plt.xlim(xmin, xmax)
        plt.show()
Example #5
0
def plot_posterior_hack(samples, prior_pdf, name, xmin, xmax):
    xs = mlab.frange(xmin, xmax, (xmax - xmin) / 100.0)
    ys = [prior_pdf(x) for x in xs]
    ts = stats.beta(3, 3)

    plt.plot(xs, ys, label='Prior Dist')
    plt.plot(xs, ts.pdf(xs))

    plt.hist(samples, bins=100, normed=True, label='Posterior Dist')

    plt.title('Prior and Posterior of {}'.format(name))
    plt.ylim(ymin=0)
    plt.xlim(xmin, xmax)
    plt.show()
Example #6
0
def non_linear(data, functions, kwargs='for_cv'):
    """
    Non-linear interpolation of points set
    :param data: List of X, Y
    :param functions: List of functions
    :param kwargs: Impacts on returning value.
        If 'for_cv, then returns polynomial function for given data.
        If 'for_plot', then returns standard triple for PLOT function
        Default: 'for_cv'
    :return: Initial points set, X, Y(X)
    """
    x, y = data

    x_min = min(x)
    x_max = max(x)
    points = [x, y]

    # Making a Vandermonde's matrix of functions
    functions.insert(0, lambda arg: arg)
    functions.insert(0, lambda arg: 1)
    x_temp = [list() for _ in range(len(x))]
    for i in range(len(x)):
        for j in range(len(functions)):
            x_temp[i].append(functions[j](x[i][0]))
    x = array(x_temp)
    del x_temp

    beta = find_betas(x, y)

    if kwargs == 'for_cv':
        def func(arg):
            value = 0
            for j in range(len(functions)):
                value += beta[j][0] * functions[j](arg)
            return value

        return func
    elif kwargs == 'for_plot':
        abscissa = frange(x_min, x_max, 0.01)
        ordinate = list()
        for arg in abscissa:
            value = 0
            for j in range(len(functions)):
                value += beta[j][0] * functions[j](arg)
            ordinate.append(value)

        return points, abscissa, ordinate
Example #7
0
def polynomial(data, k, kwargs='for_cv'):
    """
    Polynomial interpolation of points set
    :param data: List of X, Y
    :param k: Degree of polynomial
    :param kwargs: Impacts on returning value.
        If 'for_cv, then returns polynomial function for given data.
        If 'for_plot', then returns standard triple for PLOT function.
        Default: 'for_cv'.
    :return: Initial points set, X, Y(X)
    """
    x, y = data

    x_min = min(x)
    x_max = max(x)
    points = [x, y]

    # Making a Vandermonde's matrix
    x_temp = [list() for _ in range(len(x))]
    for i in range(len(x)):
        for j in range(k + 1):
            x_temp[i].append(x[i][0] ** j)
    x = array(x_temp)
    del x_temp

    beta = find_betas(x, y)

    if kwargs == 'for_cv':
        def func(arg):
            value = 0
            for j in range(k + 1):
                value += beta[j][0] * (arg ** j)
            return value

        return func
    elif kwargs == 'for_plot':
        abscissa = frange(x_min, x_max, 0.01)
        ordinate = list()
        for arg in abscissa:
            value = 0
            for j in range(k + 1):
                value += beta[j][0] * (arg ** j)
            ordinate.append(value)

        return points, abscissa, ordinate
Example #8
0
from __future__ import print_function
import sys

import matplotlib
matplotlib.use("TkAgg")
from matplotlib import pyplot as plt
from matplotlib import pylab as pl
import numpy as np

xval = [x for x in pl.frange(-3.0, 3.0, 0.1)]
if (len(sys.argv) == 2):
    option = sys.argv[1]
    if (int(option) == 1):
        yval = [x for x in xval]
    elif (int(option) == 2):
        yval = [x**2 for x in xval]
    elif (int(option) == 3):
        yval = [x**3 for x in xval]
    elif (int(option) == 4):
        yval = [np.sin(x) for x in xval]
    elif (int(option) == 5):
        yval = [np.cos(x) for x in xval]
    elif (int(option) == 6):
        yval = [np.tan(x) for x in xval]
    elif (int(option) == 7):
        yval = [np.exp(x) for x in xval]
    elif (int(option) == 8):
        yval = [np.sqrt(abs(x)) for x in xval]
else:
    print(""""
    Wrong argument list!!. 
plt.title("Dot Plot by frequency")
plt.plot(y_, x_, 'ro')
plt.xlabel('Count')
plt.ylabel('# PResidential Request')
# min and max limits
plt.xlim(min(y_)-1, max(y_)+1)

plt.subplot(312)
plt.title("Simple dot plot")
plt.xlabel("# Presedential Request")
plt.ylabel("Frequency")

# prepare data for dot plot
for key, value in x_freq.items():
    x__ = np.repeat(key, value)
    y__ = frange(0.1, (value/10.0), 0.1)
    try:
        plt.plot(x__, y__, 'go')
    except ValueError:
        print x__.shape, y__.shape
    # set min and max
    plt.ylim(0.0, 0.4)
    plt.xlim(xmin=-1)

plt.xticks(x_freq.keys())
plt.subplot(313)
x_vals = []
x_labels = []
y_vals = []
x_tick = 1
for k,v in x_group.items():
Example #10
0
#
plt.subplot(311)
plt.plot(y_, x_, 'ro')
plt.title("Dot Plot by Frequency")
plt.xlabel('Count')
plt.ylabel('# Presedential Request')
plt.xlim(min(y_) - 1, max(y_) + 1)

plt.subplot(312)
plt.title("Simple dot plot")
plt.xlabel('# Presedential Request')
plt.ylabel('Frequency')
for key, value in x_freq.items():
    x__ = np.repeat(key, value)
    y__ = frange(0.1, (value / 10.0), 0.1)
    try:
        plt.plot(x__, y__, 'go')
    except ValueError:
        print x__.shape, y__.shape
#
plt.ylim(0.0, 0.4)
plt.xlim(xmin=-1)
plt.xticks(x_freq.keys())

plt.subplot(313)
x_vals = []
x_labels = []
y_vals = []
x_tick = 1
for k, v in x_group.items():
Example #11
0
def demo():
    """Demonstrates solution for exercise: example of usage"""
    print "IterateLogistic Demo"
    print "Close plot to continue"
    print "  Creating Bifurcation Diagram"
    BifurcationDiagram(logistic_map, 0.1, 500, 128, pylab.frange(0,1,npts=600))
Example #12
0
File: plot.py Project: kleach/ML
def plot(function, min_coords, bound):
    mpl.rcParams['legend.fontsize'] = 10

    fig = plt.figure(figsize=(16, 9))
    fig.set_facecolor((0.95, 0.95, 0.95))
    fig.canvas.set_window_title('Gradient Descent')
    fig.suptitle('Gradient Descent', fontsize=28)
    ax = fig.gca()
    ax.set_axis_bgcolor(fig.get_facecolor())
    ax.tick_params(axis='x', colors=(0.15, 0.15, 0.15))
    ax.tick_params(axis='y', colors=(0.15, 0.15, 0.15))
    x_min, x_max = bound[0], bound[1]
    x = np.linspace(x_min, x_max, 100)

    colors = ['red', 'green', 'yellow', 'cyan']
    i = 0

    n = len(min_coords[0][0])
    if n == 2:
        ax = fig.gca(projection='3d')
        ax.tick_params(axis='z', colors=(0.15, 0.15, 0.15))
        ax.set_axis_bgcolor(fig.get_facecolor())
        y_min, y_max = x_min, x_max
        y = np.linspace(y_min, y_max, 100)
        z = function([x, y], n)
        ax.plot(xs=x, ys=y, zs=z)
        for coords in min_coords:
            xs = coords[0][0]
            ys = coords[0][1]
            zs = function([coords[0][0], coords[0][1]], n)
            label = coords[1]
            ax.scatter(xs=xs, ys=ys, zs=zs, label=label, c=colors[i])
            i += 1
    elif n == 1:
        ax.spines['top'].set_visible(False)
        ax.spines['right'].set_visible(False)
        ax.spines['left'].set_color((0.75, 0.75, 0.75))
        ax.spines['bottom'].set_color((0.75, 0.75, 0.75))
        ax.tick_params(axis='x', colors=(0.15, 0.15, 0.15))
        ax.tick_params(axis='y', colors=(0.15, 0.15, 0.15))
        ax.set_axis_bgcolor(fig.get_facecolor())
        ax.get_xaxis().tick_bottom()
        ax.get_yaxis().tick_left()

        plt.xlim(bound[0], bound[1])

        x = plt.frange(x_min, x_max, 0.01)
        y = [function(xi, n) for xi in x]
        ax.plot(x, y, alpha=0.85)

        for coords in min_coords:
            ax.scatter(coords[0],
                       function(coords[0], n),
                       label=coords[1],
                       c=colors[i],
                       s=35,
                       edgecolors='black',
                       alpha=0.75)
            i += 1
    else:
        return
    ax.legend()
    plt.show()