MNIST Classification: mean_squared_error loss function and tanh activation function











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I changed the getting started example of Tensorflow as following:



import tensorflow as tf
from sklearn.metrics import roc_auc_score
import numpy as np
import commons as cm
from sklearn.metrics import confusion_matrix
import matplotlib.pyplot as plt
import pandas as pd
import seaborn as sn

mnist = tf.keras.datasets.mnist

(x_train, y_train), (x_test, y_test) = mnist.load_data()
x_train, x_test = x_train / 255.0, x_test / 255.0

model = tf.keras.models.Sequential([
tf.keras.layers.Flatten(),
tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dropout(0.2),
tf.keras.layers.Dense(10, activation=tf.nn.tanh)
])
model.compile(optimizer='adam',
loss='mean_squared_error',
# loss = 'sparse_categorical_crossentropy',
metrics=['accuracy'])

history = cm.Histories()
h= model.fit(x_train, y_train, epochs=50, callbacks=[history])
print("history:", history.losses)
cm.plot_history(h)
# cm.plot(history.losses, history.aucs)


test_predictions = model.predict(x_test)


# Compute confusion matrix
pred = np.argmax(test_predictions,axis=1)
pred2 = model.predict_classes(x_test)
confusion = confusion_matrix(y_test, pred)
cm.draw_confusion(confusion,range(10))


With its default parameters:





  • relu activation at hidden layers,


  • softmax at the output layer and


  • sparse_categorical_crossentropy as loss function,


it works fine and the prediction for all digits are above 99%



However with my parameters: tanh activation function and mean_squared_error loss function it just predict 0 for all test samples:



enter image description here



I wonder what is the problem? The accuracy rate is increasing for each epoch and it reaches 99% and loss is about 20










share|improve this question




















  • 1




    MSE is not an appropriate loss function for classification problems, as in your case; you may find this thread useful: What function defines accuracy in Keras when the loss is mean squared error (MSE)?
    – desertnaut
    Nov 19 at 11:04















up vote
0
down vote

favorite












I changed the getting started example of Tensorflow as following:



import tensorflow as tf
from sklearn.metrics import roc_auc_score
import numpy as np
import commons as cm
from sklearn.metrics import confusion_matrix
import matplotlib.pyplot as plt
import pandas as pd
import seaborn as sn

mnist = tf.keras.datasets.mnist

(x_train, y_train), (x_test, y_test) = mnist.load_data()
x_train, x_test = x_train / 255.0, x_test / 255.0

model = tf.keras.models.Sequential([
tf.keras.layers.Flatten(),
tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dropout(0.2),
tf.keras.layers.Dense(10, activation=tf.nn.tanh)
])
model.compile(optimizer='adam',
loss='mean_squared_error',
# loss = 'sparse_categorical_crossentropy',
metrics=['accuracy'])

history = cm.Histories()
h= model.fit(x_train, y_train, epochs=50, callbacks=[history])
print("history:", history.losses)
cm.plot_history(h)
# cm.plot(history.losses, history.aucs)


test_predictions = model.predict(x_test)


# Compute confusion matrix
pred = np.argmax(test_predictions,axis=1)
pred2 = model.predict_classes(x_test)
confusion = confusion_matrix(y_test, pred)
cm.draw_confusion(confusion,range(10))


With its default parameters:





  • relu activation at hidden layers,


  • softmax at the output layer and


  • sparse_categorical_crossentropy as loss function,


it works fine and the prediction for all digits are above 99%



However with my parameters: tanh activation function and mean_squared_error loss function it just predict 0 for all test samples:



enter image description here



I wonder what is the problem? The accuracy rate is increasing for each epoch and it reaches 99% and loss is about 20










share|improve this question




















  • 1




    MSE is not an appropriate loss function for classification problems, as in your case; you may find this thread useful: What function defines accuracy in Keras when the loss is mean squared error (MSE)?
    – desertnaut
    Nov 19 at 11:04













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I changed the getting started example of Tensorflow as following:



import tensorflow as tf
from sklearn.metrics import roc_auc_score
import numpy as np
import commons as cm
from sklearn.metrics import confusion_matrix
import matplotlib.pyplot as plt
import pandas as pd
import seaborn as sn

mnist = tf.keras.datasets.mnist

(x_train, y_train), (x_test, y_test) = mnist.load_data()
x_train, x_test = x_train / 255.0, x_test / 255.0

model = tf.keras.models.Sequential([
tf.keras.layers.Flatten(),
tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dropout(0.2),
tf.keras.layers.Dense(10, activation=tf.nn.tanh)
])
model.compile(optimizer='adam',
loss='mean_squared_error',
# loss = 'sparse_categorical_crossentropy',
metrics=['accuracy'])

history = cm.Histories()
h= model.fit(x_train, y_train, epochs=50, callbacks=[history])
print("history:", history.losses)
cm.plot_history(h)
# cm.plot(history.losses, history.aucs)


test_predictions = model.predict(x_test)


# Compute confusion matrix
pred = np.argmax(test_predictions,axis=1)
pred2 = model.predict_classes(x_test)
confusion = confusion_matrix(y_test, pred)
cm.draw_confusion(confusion,range(10))


With its default parameters:





  • relu activation at hidden layers,


  • softmax at the output layer and


  • sparse_categorical_crossentropy as loss function,


it works fine and the prediction for all digits are above 99%



However with my parameters: tanh activation function and mean_squared_error loss function it just predict 0 for all test samples:



enter image description here



I wonder what is the problem? The accuracy rate is increasing for each epoch and it reaches 99% and loss is about 20










share|improve this question















I changed the getting started example of Tensorflow as following:



import tensorflow as tf
from sklearn.metrics import roc_auc_score
import numpy as np
import commons as cm
from sklearn.metrics import confusion_matrix
import matplotlib.pyplot as plt
import pandas as pd
import seaborn as sn

mnist = tf.keras.datasets.mnist

(x_train, y_train), (x_test, y_test) = mnist.load_data()
x_train, x_test = x_train / 255.0, x_test / 255.0

model = tf.keras.models.Sequential([
tf.keras.layers.Flatten(),
tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dense(512, activation=tf.nn.tanh),
# tf.keras.layers.Dropout(0.2),
tf.keras.layers.Dense(10, activation=tf.nn.tanh)
])
model.compile(optimizer='adam',
loss='mean_squared_error',
# loss = 'sparse_categorical_crossentropy',
metrics=['accuracy'])

history = cm.Histories()
h= model.fit(x_train, y_train, epochs=50, callbacks=[history])
print("history:", history.losses)
cm.plot_history(h)
# cm.plot(history.losses, history.aucs)


test_predictions = model.predict(x_test)


# Compute confusion matrix
pred = np.argmax(test_predictions,axis=1)
pred2 = model.predict_classes(x_test)
confusion = confusion_matrix(y_test, pred)
cm.draw_confusion(confusion,range(10))


With its default parameters:





  • relu activation at hidden layers,


  • softmax at the output layer and


  • sparse_categorical_crossentropy as loss function,


it works fine and the prediction for all digits are above 99%



However with my parameters: tanh activation function and mean_squared_error loss function it just predict 0 for all test samples:



enter image description here



I wonder what is the problem? The accuracy rate is increasing for each epoch and it reaches 99% and loss is about 20







tensorflow machine-learning keras neural-network classification






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 2 days ago









blue-phoenox

3,08181438




3,08181438










asked Nov 19 at 9:27









Ahmad

2,67133057




2,67133057








  • 1




    MSE is not an appropriate loss function for classification problems, as in your case; you may find this thread useful: What function defines accuracy in Keras when the loss is mean squared error (MSE)?
    – desertnaut
    Nov 19 at 11:04














  • 1




    MSE is not an appropriate loss function for classification problems, as in your case; you may find this thread useful: What function defines accuracy in Keras when the loss is mean squared error (MSE)?
    – desertnaut
    Nov 19 at 11:04








1




1




MSE is not an appropriate loss function for classification problems, as in your case; you may find this thread useful: What function defines accuracy in Keras when the loss is mean squared error (MSE)?
– desertnaut
Nov 19 at 11:04




MSE is not an appropriate loss function for classification problems, as in your case; you may find this thread useful: What function defines accuracy in Keras when the loss is mean squared error (MSE)?
– desertnaut
Nov 19 at 11:04












1 Answer
1






active

oldest

votes

















up vote
1
down vote



accepted










You need to use the proper loss function for your data. Here you have a categorical output, so you need to use sparse_categorical_crossentropy, but also set from_logits without any activation for the last layer.



If you need to use tanh as your output, then you can use MSE with a one-hot encoded version of your labels + rescaling.






share|improve this answer























  • Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
    – Ahmad
    Nov 19 at 11:37










  • Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
    – Matthieu Brucher
    Nov 19 at 11:40










  • It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
    – Ahmad
    Nov 19 at 11:43










  • Change class then? Seems like this doesn't teach you the right practices.
    – Matthieu Brucher
    Nov 19 at 11:45






  • 1




    Glad that you could find the error!
    – Matthieu Brucher
    Nov 19 at 14:47











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1 Answer
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1 Answer
1






active

oldest

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active

oldest

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active

oldest

votes








up vote
1
down vote



accepted










You need to use the proper loss function for your data. Here you have a categorical output, so you need to use sparse_categorical_crossentropy, but also set from_logits without any activation for the last layer.



If you need to use tanh as your output, then you can use MSE with a one-hot encoded version of your labels + rescaling.






share|improve this answer























  • Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
    – Ahmad
    Nov 19 at 11:37










  • Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
    – Matthieu Brucher
    Nov 19 at 11:40










  • It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
    – Ahmad
    Nov 19 at 11:43










  • Change class then? Seems like this doesn't teach you the right practices.
    – Matthieu Brucher
    Nov 19 at 11:45






  • 1




    Glad that you could find the error!
    – Matthieu Brucher
    Nov 19 at 14:47















up vote
1
down vote



accepted










You need to use the proper loss function for your data. Here you have a categorical output, so you need to use sparse_categorical_crossentropy, but also set from_logits without any activation for the last layer.



If you need to use tanh as your output, then you can use MSE with a one-hot encoded version of your labels + rescaling.






share|improve this answer























  • Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
    – Ahmad
    Nov 19 at 11:37










  • Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
    – Matthieu Brucher
    Nov 19 at 11:40










  • It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
    – Ahmad
    Nov 19 at 11:43










  • Change class then? Seems like this doesn't teach you the right practices.
    – Matthieu Brucher
    Nov 19 at 11:45






  • 1




    Glad that you could find the error!
    – Matthieu Brucher
    Nov 19 at 14:47













up vote
1
down vote



accepted







up vote
1
down vote



accepted






You need to use the proper loss function for your data. Here you have a categorical output, so you need to use sparse_categorical_crossentropy, but also set from_logits without any activation for the last layer.



If you need to use tanh as your output, then you can use MSE with a one-hot encoded version of your labels + rescaling.






share|improve this answer














You need to use the proper loss function for your data. Here you have a categorical output, so you need to use sparse_categorical_crossentropy, but also set from_logits without any activation for the last layer.



If you need to use tanh as your output, then you can use MSE with a one-hot encoded version of your labels + rescaling.







share|improve this answer














share|improve this answer



share|improve this answer








edited Nov 19 at 12:11

























answered Nov 19 at 10:35









Matthieu Brucher

6,7891331




6,7891331












  • Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
    – Ahmad
    Nov 19 at 11:37










  • Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
    – Matthieu Brucher
    Nov 19 at 11:40










  • It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
    – Ahmad
    Nov 19 at 11:43










  • Change class then? Seems like this doesn't teach you the right practices.
    – Matthieu Brucher
    Nov 19 at 11:45






  • 1




    Glad that you could find the error!
    – Matthieu Brucher
    Nov 19 at 14:47


















  • Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
    – Ahmad
    Nov 19 at 11:37










  • Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
    – Matthieu Brucher
    Nov 19 at 11:40










  • It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
    – Ahmad
    Nov 19 at 11:43










  • Change class then? Seems like this doesn't teach you the right practices.
    – Matthieu Brucher
    Nov 19 at 11:45






  • 1




    Glad that you could find the error!
    – Matthieu Brucher
    Nov 19 at 14:47
















Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
– Ahmad
Nov 19 at 11:37




Thanks, but I had to use those functions and measure their performance. I think my mistake is that I should evaluate the categorial output in another way.
– Ahmad
Nov 19 at 11:37












Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
– Matthieu Brucher
Nov 19 at 11:40




Using tanh for a logits output doesn't make sense (it's not between 0 and 1, and the cost functions expect unbounded values). What do you mean by "had to use thse functions"? If you want to use MSE error, use a sigmoid output, clamp the categories at (1e-7, 1-1e-7) to avoid divergence and try again. But be aware that the results won't sum to one anymore.
– Matthieu Brucher
Nov 19 at 11:40












It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
– Ahmad
Nov 19 at 11:43




It's an assignment and those things are in the assignment definition, so I can't use other methods, unless they are equivalent with what I do. I think I reached a solution
– Ahmad
Nov 19 at 11:43












Change class then? Seems like this doesn't teach you the right practices.
– Matthieu Brucher
Nov 19 at 11:45




Change class then? Seems like this doesn't teach you the right practices.
– Matthieu Brucher
Nov 19 at 11:45




1




1




Glad that you could find the error!
– Matthieu Brucher
Nov 19 at 14:47




Glad that you could find the error!
– Matthieu Brucher
Nov 19 at 14:47


















 

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