In [2]:
import tensorflow as tf
import numpy as np
In [3]:
import matplotlib
import matplotlib.pyplot as plt
%matplotlib inline
In [4]:
num_examples = 50
x=np.linspace(-2, 4, num_examples)
y=np.linspace(-6, 6, num_examples)
print x
plt.figure(figsize=(4,4))
plt.scatter(x, y)
plt.show()
[-2. -1.87755102 -1.75510204 -1.63265306 -1.51020408 -1.3877551
-1.26530612 -1.14285714 -1.02040816 -0.89795918 -0.7755102 -0.65306122
-0.53061224 -0.40816327 -0.28571429 -0.16326531 -0.04081633 0.08163265
0.20408163 0.32653061 0.44897959 0.57142857 0.69387755 0.81632653
0.93877551 1.06122449 1.18367347 1.30612245 1.42857143 1.55102041
1.67346939 1.79591837 1.91836735 2.04081633 2.16326531 2.28571429
2.40816327 2.53061224 2.65306122 2.7755102 2.89795918 3.02040816
3.14285714 3.26530612 3.3877551 3.51020408 3.63265306 3.75510204
3.87755102 4. ]
/usr/lib/pymodules/python2.7/matplotlib/collections.py:548: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison
if self._edgecolors == 'face':
In [5]:
randnum=np.random.random([num_examples])
print randnum
[ 0.69468812 0.76433985 0.48907605 0.20173005 0.81662296 0.28544471
0.22351182 0.48968533 0.83867993 0.72399452 0.12300451 0.70340524
0.86799523 0.98513867 0.04058264 0.23750989 0.20795213 0.72676881
0.50832674 0.50872813 0.84726839 0.84757519 0.82978698 0.6304305
0.0112158 0.78987729 0.73265985 0.28673174 0.66022837 0.33783113
0.68723565 0.66386675 0.08096569 0.12619504 0.16989061 0.1244708
0.42372693 0.72509119 0.14952221 0.51519253 0.93420552 0.42191764
0.16374122 0.16174883 0.4072154 0.94776896 0.99793733 0.64637544
0.0657503 0.17723147]
In [6]:
x += randnum #an 1-d array with random numbers
y += np.random.random([num_examples])
plt.figure(figsize=(4,4))
plt.scatter(x, y)
plt.show()
In [7]:
x_with_bias = np.array([(1., a) for a in x]).astype(np.float32)
print x_with_bias
[[ 1. -1.30531192]
[ 1. -1.11321115]
[ 1. -1.26602602]
[ 1. -1.43092299]
[ 1. -0.6935811 ]
[ 1. -1.10231042]
[ 1. -1.0417943 ]
[ 1. -0.65317184]
[ 1. -0.18172823]
[ 1. -0.17396466]
[ 1. -0.6525057 ]
[ 1. 0.05034401]
[ 1. 0.33738297]
[ 1. 0.57697541]
[ 1. -0.24513164]
[ 1. 0.07424458]
[ 1. 0.1671358 ]
[ 1. 0.80840147]
[ 1. 0.71240836]
[ 1. 0.83525872]
[ 1. 1.29624796]
[ 1. 1.41900373]
[ 1. 1.52366459]
[ 1. 1.44675708]
[ 1. 0.94999129]
[ 1. 1.85110176]
[ 1. 1.91633332]
[ 1. 1.59285414]
[ 1. 2.08879972]
[ 1. 1.88885152]
[ 1. 2.36070514]
[ 1. 2.45978522]
[ 1. 1.99933302]
[ 1. 2.16701126]
[ 1. 2.33315587]
[ 1. 2.4101851 ]
[ 1. 2.83189011]
[ 1. 3.25570345]
[ 1. 2.80258346]
[ 1. 3.29070282]
[ 1. 3.83216476]
[ 1. 3.44232583]
[ 1. 3.30659842]
[ 1. 3.42705488]
[ 1. 3.79497051]
[ 1. 4.457973 ]
[ 1. 4.63059044]
[ 1. 4.40147734]
[ 1. 3.9433012 ]
[ 1. 4.17723131]]
In [8]:
losses = []
training_steps = 50
learning_rate = 0.002
with tf.Session() as sess:
# Set up all the tensors, variables, and operations.
input = tf.constant(x_with_bias)
target = tf.constant(np.transpose([y]).astype(np.float32))
weights = tf.Variable(tf.random_normal([2, 1], 0, 0.1))
tf.initialize_all_variables().run()
# yhat is a vector in this case
yhat = tf.matmul(input, weights)
yerror = tf.sub(yhat, target)
loss = tf.nn.l2_loss(yerror)
update_weights = tf.train.GradientDescentOptimizer(learning_rate).minimize(loss)
for _ in range(training_steps):
update_weights.run()
losses.append(loss.eval())
#print _ #It takes on value from 0 to 49
#print losses #this shows losses array keep increasing in size: [18] , [18, 13],...
# Training is done, get the final values for the graphs
betas = weights.eval()
yhat = yhat.eval()
In [9]:
plt.figure(figsize=(4,4))
plt.scatter(x, y, alpha=.9) #plot original x and y
plt.scatter(x, np.transpose(yhat)[0], c="g", alpha=.6) #plot x and yhat
x_range = (-4, 6)
plt.plot(x_range, [betas[0] + a * betas[1] for a in x_range], "g", alpha=0.6)
plt.show()
In [10]:
# Show the loss over time.
plt.figure(figsize=(4,4))
plt.plot(range(0, training_steps), losses)
#plt.set_ylabel("Loss")
#plt.set_xlabel("Training steps")
plt.show()
In [11]:
import csv
# Split data into inputs (5 cols) and output (1 col)
def load_data(filename):
x=[]
target=[]
a=[]
with open(filename) as csv_file:
data_file = csv.reader(csv_file)
for row in data_file:
a.append(row)
print a[0]
np_a=np.array(a)
x=np_a[1:,:-1].astype(np.float32) #read after first row
target=np_a[1:,-1].astype(np.float32)
return x, target
In [12]:
room_X, room_y=load_data('data/room/train.csv')
['Temperature', 'Humidity', 'Light', 'CO2', 'HumidityRatio', 'Occupancy']
In [13]:
print len(room_X)
print len(room_y)
8143
8143
In [14]:
#*** Inspect data
n_samples=len(room_X)
n_features = len(room_X[0])
print n_samples
print n_features
8143
5
In [15]:
print room_X[0], room_y[0]
[ 2.31800003e+01 2.72719994e+01 4.26000000e+02 7.21250000e+02
4.79298783e-03] 1.0
In [16]:
losses = []
training_steps = n_samples
learning_rate = 0.01
with tf.Session() as sess:
# Set up all the tensors, variables, and operations.
input = tf.constant(room_X)
target = tf.constant(np.transpose([room_y]).astype(np.float32))
weights = tf.Variable(tf.random_normal([5, 1], 0, 0.1))
tf.initialize_all_variables().run()
# yhat is a matrix
yhat = tf.matmul(input, weights)
# loss is a matrix
lossDistribution = tf.nn.sigmoid_cross_entropy_with_logits(yhat, target, name="loss")
# take the mean of the lossDistribution vector
lossAvg = tf.reduce_mean(lossDistribution)
update_weights = tf.train.GradientDescentOptimizer(learning_rate).minimize(lossAvg)
for _ in range(training_steps):
update_weights.run()
losses.append(lossAvg.eval())
#print _ #It takes on value from 0 to 49
#print losses #this shows losses array keep increasing in size: [18] , [18, 13],...
# Training is done, get the final values for the graphs
finalWeightsBetas = weights.eval()
yhat = yhat.eval()
finalLossDistribution = lossDistribution.eval()
In [17]:
print yhat
[[ -9.32804585]
[ -6.64313936]
[-10.12156296]
...,
[-13.14401722]
[-10.09729576]
[ 4.59316492]]
In [18]:
print finalWeightsBetas
[[-16.84068871]
[ -6.88164139]
[ 1.0107038 ]
[ 0.19155027]
[ -0.04718706]]
In [19]:
print finalLossDistribution
[[ 9.32813454e+00]
[ 6.64444160e+00]
[ 1.01216030e+01]
...,
[ 1.31440191e+01]
[ 1.00973368e+01]
[ 1.00698778e-02]]
In [20]:
print losses
[789.47266, 334.03677, 160.24374, 627.5849, 72.658607, 61.194012, 31.808559, 30.265984, 29.010735, 27.743101, 26.483156, 25.223295, 23.963549, 22.704079, 21.445812, 20.194349, 18.930952, 17.723143, 16.658493, 18.824482, 30.051092, 181.03429, 377.53107, 474.97122, 33.004196, 31.329283, 30.069895, 28.810574, 27.551325, 26.292164, 25.033403, 23.77598, 22.528273, 21.265467, 20.070555, 18.928513, 18.654415, 18.22019, 28.255669, 208.44014, 611.05084, 59.11417, 60.572044, 88.997482, 128.33411, 530.06171, 55.657677, 43.60556, 42.348003, 41.081902, 39.822655, 38.563583, 37.304638, 36.045841, 34.787247, 33.528885, 32.270676, 31.012621, 29.754728, 28.497103, 27.23995, 25.983778, 24.733503, 23.507786, 22.3475, 21.264435, 21.747021, 23.006727, 23.611254, 31.039991, 21.343451, 30.974005, 46.28936, 373.97656, 485.28079, 29.938646, 28.17234, 26.955231, 25.702318, 24.543949, 23.359936, 22.906746, 20.787708, 19.791063, 18.68371, 23.066298, 30.651405, 20.393946, 28.913679, 23.395157, 157.08276, 639.29657, 74.215729, 130.48499, 545.15027, 53.41238, 39.90855, 38.732216, 37.046619, 35.797993, 34.567192, 33.285934, 32.055374, 30.788738, 29.556143, 28.285269, 27.055674, 25.792442, 24.580627, 23.357342, 22.28178, 21.16156, 22.325499, 24.463057, 21.253048, 26.031832, 18.08239, 23.523394, 17.577148, 28.520018, 72.546547, 487.59131, 404.10141, 36.2397, 28.773191, 26.43071, 25.196814, 23.994892, 22.882322, 21.786201, 22.481014, 22.824532, 23.337545, 28.046167, 17.809128, 19.174456, 21.004604, 71.138145, 681.64264, 107.63946, 198.15413, 480.62326, 44.099796, 40.507957, 38.875908, 37.626812, 36.381111, 35.143291, 33.891022, 32.657963, 31.38866, 30.160946, 28.900602, 27.678595, 26.416542, 25.221415, 24.005552, 22.972836, 21.878458, 23.012352, 24.222498, 21.683521, 25.44919, 18.035259, 20.14282, 19.017996, 28.645279, 33.49577, 252.76085, 557.75128, 35.66256, 32.605583, 25.45789, 23.016094, 21.875999, 20.875, 22.020809, 23.502317, 20.704102, 24.917948, 16.953608, 18.825226, 18.862589, 34.489193, 108.88192, 437.32556, 408.68646, 35.247269, 30.174307, 27.443304, 26.248247, 25.104265, 23.87602, 23.37207, 21.656786, 22.490629, 22.217176, 22.959904, 26.901783, 17.132954, 16.246973, 24.106796, 108.35603, 638.71558, 74.509895, 73.296707, 202.26279, 73.817406, 35.789715, 35.218117, 32.721008, 31.468452, 30.245422, 28.984161, 27.77309, 26.512211, 25.307949, 24.074255, 22.959553, 21.992424, 23.005526, 23.010059, 22.371197, 25.682941, 17.634594, 16.627499, 23.321243, 67.107704, 646.70801, 80.176331, 93.681877, 468.83124, 41.445858, 38.533417, 37.001373, 35.761974, 34.536526, 33.308372, 32.041279, 30.806, 29.591232, 28.376076, 27.111568, 25.908342, 24.699821, 23.639339, 22.78834, 26.552773, 27.606325, 20.456001, 18.545349, 24.401878, 29.786058, 15.437207, 15.86413, 21.651325, 66.458328, 611.71295, 56.459068, 53.928974, 24.900675, 23.880131, 24.701944, 22.715654, 25.531704, 27.211861, 19.271557, 17.91474, 23.719524, 31.364573, 15.260468, 15.423963, 20.629896, 67.585701, 615.46161, 57.689758, 56.958199, 26.128275, 23.293158, 22.131248, 21.103785, 21.673651, 19.855602, 24.186974, 27.242458, 16.182352, 16.400002, 21.223101, 38.738907, 52.462936, 336.4252, 455.25009, 28.118402, 26.927767, 25.763163, 24.872581, 23.84479, 26.792307, 27.038916, 21.88393, 19.395351, 24.138355, 27.008516, 16.598009, 16.751623, 21.074884, 32.125359, 20.697582, 39.907177, 60.569359, 358.15741, 436.14047, 29.722313, 30.382732, 26.824425, 28.898054, 27.148054, 25.599329, 23.721212, 24.996433, 26.08032, 20.092777, 18.204121, 23.221905, 27.466442, 14.665977, 15.092112, 20.057709, 41.603218, 75.501686, 390.63739, 407.81735, 33.831066, 28.905235, 26.226803, 25.029045, 23.940191, 23.743185, 21.907938, 23.948568, 24.349512, 20.631193, 20.128027, 20.694378, 24.450617, 14.98995, 15.321514, 18.675533, 31.816072, 27.971773, 167.46971, 577.0155, 40.439926, 39.836494, 24.126642, 26.338451, 26.585304, 21.456018, 19.06361, 23.638777, 26.370073, 16.137102, 16.326143, 19.914455, 27.150417, 12.203934, 13.438298, 17.023928, 63.577755, 523.40039, 21.829582, 19.226374, 23.604063, 26.25865, 16.408823, 16.594452, 19.850874, 26.061762, 11.932077, 11.25317, 21.474106, 142.22092, 600.73077, 48.360001, 49.613815, 22.205175, 22.110922, 20.690521, 24.209799, 25.937927, 17.729822, 17.395462, 20.59618, 25.097559, 12.960885, 13.632395, 18.097261, 43.171509, 89.487732, 390.50153, 398.85184, 34.273041, 27.282776, 25.408663, 25.449734, 23.076941, 23.313629, 20.864149, 21.489868, 19.146084, 23.23531, 25.889757, 15.870547, 16.323578, 19.134119, 24.756674, 11.510283, 10.919082, 20.950684, 134.93593, 599.61255, 47.37999, 48.527637, 22.361477, 25.061028, 25.707743, 19.999611, 18.35364, 22.173374, 25.349297, 14.770242, 15.586144, 17.97538, 24.426363, 10.607559, 9.6488934, 10.573063, 16.648329, 148.18088, 603.55444, 46.377472, 53.466732, 20.997965, 20.296062, 22.944838, 24.758745, 17.0086, 16.917004, 19.285366, 24.142159, 12.141661, 12.32596, 18.509037, 53.616043, 266.41357, 85.700989, 405.14471, 33.073086, 27.940083, 25.472153, 24.655985, 23.92383, 25.997896, 25.009193, 22.215012, 19.656601, 23.191183, 24.937538, 16.699606, 16.854715, 18.829969, 23.715811, 11.990072, 12.334296, 17.811056, 45.847363, 87.259361, 369.89081, 399.12415, 33.422447, 26.483688, 24.766506, 25.05974, 22.249847, 22.158701, 20.839088, 23.640715, 24.688236, 18.031916, 17.571423, 19.770321, 23.704481, 13.10491, 14.025148, 16.542456, 25.681639, 11.389696, 13.970499, 10.161741, 17.870573, 8.4307604, 18.947083, 22.30513, 331.43646, 484.46283, 18.505323, 18.856014, 17.575727, 20.593504, 24.109844, 13.514579, 14.172258, 17.131199, 25.002636, 10.09454, 11.574191, 13.878136, 40.228664, 60.838978, 417.45175, 384.21002, 34.174618, 22.569109, 21.416235, 20.307568, 19.715055, 22.926031, 24.196674, 17.095942, 17.133066, 18.623877, 22.577148, 12.433446, 13.487458, 15.507574, 24.26026, 10.185841, 11.681078, 11.295615, 28.509457, 26.119934, 275.67697, 500.36337, 20.287729, 19.876202, 21.933365, 23.421713, 16.508629, 16.673723, 17.935781, 22.20632, 11.788075, 12.520955, 15.789457, 28.55829, 12.09508, 19.894434, 7.5570722, 10.050634, 9.8532028, 38.720947, 91.679749, 425.6145, 386.11563, 32.82341, 20.569426, 19.994999, 19.82564, 21.551144, 22.952566, 16.349863, 16.435949, 17.683973, 21.928385, 11.558244, 12.361851, 15.49748, 28.042807, 11.07377, 17.009598, 6.9532371, 8.1311102, 14.015133, 182.81027, 570.25287, 28.134724, 32.35564, 18.344788, 18.114382, 20.363688, 13.729662, 14.445243, 14.93178, 21.503128, 9.5702353, 18.763115, 93.293243, 504.44043, 19.821495, 19.451153, 21.141083, 22.575079, 15.862756, 16.165129, 17.042679, 21.393551, 11.142632, 11.338005, 16.684158, 38.745358, 17.840424, 46.467094, 32.174515, 155.33861, 535.8609, 28.179272, 26.535395, 22.125185, 20.363514, 22.939358, 23.418669, 17.700191, 17.361668, 18.645205, 21.793453, 12.904198, 14.036263, 14.921397, 21.474085, 9.7127924, 17.786919, 69.551582, 355.5228, 35.449055, 20.35895, 16.676395, 15.683609, 17.39801, 21.800817, 11.051164, 10.558899, 12.168173, 12.145979, 21.821764, 8.5675621, 11.384832, 6.8840942, 11.770528, 3.9974375, 7.3357778, 5.2157712, 79.872787, 542.92078, 13.918559, 14.490325, 12.946136, 17.959221, 8.2612801, 8.3799944, 16.420815, 116.26106, 584.65753, 36.38216, 40.853825, 22.468668, 18.139652, 17.236734, 18.833117, 21.747021, 12.936474, 13.887728, 15.264138, 21.422369, 10.03335, 16.835314, 48.875469, 33.107075, 166.66245, 520.19403, 25.007113, 22.192133, 23.340378, 21.695274, 20.357168, 18.477865, 19.697033, 21.191586, 14.70598, 15.359578, 15.535555, 19.60535, 10.164843, 10.187053, 16.370436, 43.248676, 17.622278, 47.44302, 21.93261, 67.235779, 207.96965, 103.96988, 338.65451, 40.906223, 27.946665, 26.994152, 23.427921, 22.321297, 21.260906, 21.183109, 20.409815, 21.744774, 21.394737, 17.80406, 16.624647, 18.411362, 21.536322, 12.32928, 12.598493, 16.327421, 23.779135, 10.43183, 14.872661, 34.042583, 10.012536, 14.417441, 6.1998487, 7.2619219, 12.009485, 126.84504, 582.75763, 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In [21]:
plt.figure(figsize=(4,4))
plt.plot(range(0, 1999), losses[0:1999])
Out[21]:
[<matplotlib.lines.Line2D at 0x7f68fc1deed0>]
In [ ]:
Content source: shareactorIO/pipeline
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