I have constructed an ANN in keras which has 1 input layer(3 inputs), one output layer (1 output) and two hidden layers with with 12 and 3 nodes respectively.
The way i construct and train my network is:
from keras.models import Sequential
from keras.layers import Dense
from sklearn.cross_validation import train_test_split
import numpy
# fix random seed for reproducibility
seed = 7
numpy.random.seed(seed)
dataset = numpy.loadtxt("sorted output.csv", delimiter=",")
# split into input (X) and output (Y) variables
X = dataset[:,0:3]
Y = dataset[:,3]
# split into 67% for train and 33% for test
X_train, X_test, y_train, y_test = train_test_split(X, Y, test_size=0.33, random_state=seed)
# create model
model = Sequential()
model.add(Dense(12, input_dim=3, init='uniform', activation='relu'))
model.add(Dense(3, init='uniform', activation='relu'))
model.add(Dense(1, init='uniform', activation='sigmoid'))
# Compile model
model.compile(loss='binary_crossentropy', optimizer='adam', metrics=['accuracy'])
# Fit the model
model.fit(X_train, y_train, validation_data=(X_test,y_test), nb_epoch=150, batch_size=10)
Sorted output csv file looks like:
so after 150 epochs i get: loss: 0.6932 - acc: 0.5000 - val_loss: 0.6970 - val_acc: 0.1429
My question is: how could i modify my NN in order to achieve higher accuracy?
You could try the following things. I have written this roughly in the order of importance - i.e. the order I would try things to fix the accuracy problem you are seeing:
Normalise your input data. Usually you would take mean and standard deviation of training data, and use them to offset+scale all further inputs. There is a standard normalising function in sklearn for this. Remember to treat your test data in the same way (using the mean and std from the training data, not recalculating it)
Train for more epochs. For problems with small numbers of features and limited training set sizes, you often have to run for thousands of epochs before the network will converge. You should plot the training and validation loss values to see whether the network is still learning, or has converged as best as it can.
For your simple data, I would avoid relu activations. You may have heard they are somehow "best", but like most NN options, they have types of problems where they work well, and others where they are not best choice. I think you would be better off with tanh or sigmoid activations in hidden layers for your problem. Save relu for very deep networks and/or convolutional problems on images/audio.
Use more training data. Not clear how much you are feeding it, but NNs work best with large amounts of training data.
Provided you already have lots of training data - increase size of hidden layers. More complex relationships require more hidden neurons (and sometimes more layers) for the NN to be able to express the "shape" of the decision surface. Here is a handy browser-based network allowing you to play with that idea and get a feel for it.
Add one or more dropout layers after the hidden layers or add some other regularisation. The network could be over-fitting (although with a training accuracy of 0.5 I suspect it isn't). Unlike relu, using dropout is pretty close to a panacea for tougher NN problems - it improves generalisation in many cases. A small amount of dropout (~0.2) might help with your problem, but like most hyper-parameters, you will need to search for the best values.
Finally, it is always possible that the relationship you want to find that allows you to predict Y from X is not really there. In which case it would be a correct result from the NN to be no better than guessing at Y.
Neil Slater already provided a long list of helpful general advices.
In your specific examaple, normalization is the important thing. If you add the following lines to your code
...
X = dataset[:,0:3]
from sklearn.preprocessing import StandardScaler
scaler = StandardScaler()
X = scaler.fit_transform(X)
you will get 100% accuracy on your toy data, even with much simpler network structures. Without normalization, the optimizer won't work.
Related
I am trying to develop an LSTM model using Keras, following this tutorial. However, I am implementing it with a different dataset of U.S. political news articles with the aim of classifying them based on a political bias (labels: Left, Centre and Right). I have gotten a model to run with the tutorial, but the loss and accuracy would look very off, like this:
I tried to play around with different DropOut probabilities (i.e. 0.5 instead of 0.2), adding/removing hidden layers (and making them less dense), and decreasing/increasing the max number of words and max sequence length.
I have managed to get the graphs to align a bit more, however, that has led to the model having less accuracy with the training data (and the problem of overfitting is still bad):
Additionally, I am not sure why the validation accuracy always seems to be higher than the model accuracy in the first epoch (shouldn't it usually be lower)?
Here is some code that is being used when tokenizing, padding, and initializing variables:
# The maximum number of words to be used. (most frequent)
MAX_NB_WORDS = 500
# Max number of words in each news article
MAX_SEQUENCE_LENGTH = 100 # I am aware this may be too small
# This is fixed.
EMBEDDING_DIM = 64
tokenizer = Tokenizer(num_words=MAX_NB_WORDS, filters='!"#$%&()*+,-./:;<=>?#[\]^_`{|}~',
lower=True)
tokenizer.fit_on_texts(df_raw['titletext'].values)
word_index = tokenizer.word_index
print('Found %s unique tokens.' % len(word_index))
X = tokenizer.texts_to_sequences(df_raw['titletext'].values)
X = pad_sequences(X, maxlen=MAX_SEQUENCE_LENGTH)
print('Shape of data tensor:', X.shape)
Y = pd.get_dummies(df_raw['label']).values
print('Shape of label tensor:', Y.shape)
X_train, X_test, Y_train, Y_test = train_test_split(X,Y, test_size = 0.20)
print(X_train.shape,Y_train.shape)
print(X_test.shape,Y_test.shape)
X_train.view()
When I look at what is shown when X_train.view() is executed, I am also not sure why all the arrays start with zeros like this:
I also did a third attempt that was just a second attempt with the number of epochs increased, it looks like this:
Here is the code of the actual model:
model = Sequential()
model.add(Embedding(MAX_NB_WORDS, EMBEDDING_DIM, input_length=X.shape[1]))
# model.add(SpatialDropout1D(0.2)) ---> commented out
# model.add(LSTM(100, dropout=0.2, recurrent_dropout=0.2)) ---> commented out
model.add(LSTM(64, dropout=0.2, recurrent_dropout=0.2))
model.add(Dropout(0.5))
model.add(Dense(8))
model.add(Dropout(0.5))
model.add(Dense(3, activation='softmax'))
model.compile(loss='categorical_crossentropy', optimizer='adam', metrics=['accuracy'])
epochs = 25
batch_size = 64
history = model.fit(X_train, Y_train, epochs=epochs,
batch_size=batch_size,validation_split=0.2,callbacks=[EarlyStopping(monitor='val_loss', patience=3, min_delta=0.0001)])
Here is the link to the full code, including the dataset
Any help would be greatly appreciated!
Hyperparameter adjustments for reducing overfitting in neural networks
Identify and ascertain overfitting. The first attempt shows largely overfitting, with early divergence of your test & train loss. I would try a lower learning rate here (in addition to the steps you took for regularisation with dropout layers). Using the default rate does not guarantee best results.
Allowing your model to find the global mimima / not being stuck in a local minima. On the second attempt, it looks better. However, if the x-axis shows the number of epochs -- it could be that your early stopping is too strict? ie. increase the threshold. Consider other optimisers, including SGD with a learning rate scheduler.
Too large network leads to overfitting on the trainset and difficulty in generalisation. Too many neurons may cause the network to 'memorize' all you trainset and overfit. I would try out 8, 16 or 24 neurons in your LSTM layer for example.
Data preprocessing & cleaning. Check your padding_sequences. It is probably padding the start of each text with zeros. I would pad post text.
Dataset. Depending on the size of your current dataset, I would suggest data augmentation to get to a sizable amount of text of training (empirically >=1M words). I would also try several techniques including feature engineering / improving data quality such as, spell checks. Are the classes imbalanced? You may need to balance them out by over/undersampling.
Consider using transfer learning and incorporate trained language models as your embeddings layer instead of training one from scratch. ie. https://www.gcptutorials.com/post/how-to-create-embedding-with-tensorflow
I need to develop a neural network with Keras to predict a disease using genetic data. It is known, that predicting this disease is possible even with logistic regression (however the predictions, in this case, are of very poor quality). It's worth mentioning that my data is imbalanced, so I introduced class weights later.
I decided to start with the simplest way to predict it - with a network, analogous to a logistic regression - one hidden layer with one neuron and achieved a bad, yet at least some result - 0.12-0.14 F1 score. Then I tried with 2 hidden and 1 output layers with different amount of neurons in the first hidden layer - from 1 to 8.
It turns out that in some cases it learns something, and in some is predicting the same output for every sample. I displayed the accuracy and loss function over the epochs and this is what I get:
Network loss function by epoch. It's clear that the loss function has roughly the same value, for the training data.
Network accuracy by epoch. It's clear that the accuracy is not improving, but fluctuates from 0 to 1
I searched for similar questions and the suggestions were the following:
Make more neurons - I just have to make it work with 1, 2 or more neurons in the first layer, so I can't add neurons to this one. I increased the amount of neurons in the second hidden layer up to 20, but it then stopped predicting anything with any number oh neurons in the first layer configuration.
Make more layers - I tried adding one more layer, but still have the same problem
To introduce dropout and increase it - what dropout are we talking about if it can learn with just one layer and one neuron in it
Reduce learning rate - decreased it from the default 10^(-3) to 10^(-4)
Reduce batch size - varied it from 500 samples in a minibatch to 1 (stochastic gradient descent)
More epochs - isn't 20 to 50 epochs on a 500'000 sample dataset enough?
Here's the model:
def run_nn_class_weights(data, labels, model):
n_iter = 20
predicted = None
true = None
print('Splitting the data')
x_train, x_valid, y_train, y_valid = train_test_split(data, labels, test_size = 0.05)
#model = create_model()
early_stopping_monitor=EarlyStopping(patience=240)
class_weights = class_weight.compute_class_weight('balanced',
np.unique(labels),
labels)
class_weights = dict(enumerate(class_weights))
hist = model.fit(x_train, y_train, validation_data=[x_valid, y_valid], class_weight=class_weights,
epochs=n_iter, batch_size=500, shuffle=True, callbacks=[early_stopping_monitor],verbose=1)
proba = model.predict(data)
predicted = proba.flatten()
true = labels
return(model, proba, hist)
def old_model_n_pred(n_neurons_1st = 1):
model = Sequential()
model.add(Dense(n_neurons_1st, activation='relu', input_shape=(7516,), kernel_initializer='glorot_normal'))
model.add(Dense(8, activation='relu'))
model.add(Dense(1, activation='sigmoid'))
#model.add(Flatten())
model.compile(loss='binary_crossentropy',
optimizer='adam',
metrics=['accuracy'])
return model
This is a small network that should be able to converge to something that's not an atractor (getting stuck on a single value).
I suggest taking a look at the weights of all the neurons with ReLu activation.
ReLus are great because get quick calculations; but half of the relu has derivate of zero, which doesn't help with gradient descent. This might be your case.
In guess in yout case the enemy would be the first neuron.
In order to overcome this problem, I would try to do regularize inputs (to have all samples centered around 0.5 and scaled by the standard deviation). If you do this to a ReLU, you'll make it ignore anything under between [-inf, sd].
if that does not fix part of the problem, swich to a different activation function in the first layer. A sigmoid will work very good and it's not too expensive for just one neuron.
Also, take a close look at your input distribution. What your network actually does is doing a sigmoid-like classification, then using between 4 to 8 neurons to "zoom"/correct on the important parts of the function that the first transformation didn't account for.
Is there a way to determine number of nodes and hidden layers based on shape of the data?
Also, is there a way to determine the best activation function based on the topic?
For example, Im making model for fake news prediction. My features are number of words in text, number of words in title, number of questions, number of capital letters etc.
My dataset has 22 features and around 35000 rows. My output should be 0 or 1.
Based on that, how many layers and nodes should I use and what activation functions are the best for this?
This is my net:
model = Sequential()
model.add(Dense(100, input_dim = features.shape[1], activation = 'relu')) # input layer requires input_dim param
model.add(Dense(100, activation = 'relu'))
model.add(Dense(100, activation = 'relu'))
model.add(Dropout(0.1))
model.add(Dense(1, activation='sigmoid')) # sigmoid instead of relu for final probability between 0 and 1
sgd = optimizers.SGD(lr=0.01, decay=1e-6, momentum=0.9, nesterov=True)
model.compile(loss="mean_squared_error", optimizer=sgd, metrics=['accuracy'])
# call the function to fit to the data training the network)
model.fit(x_train, y_train, epochs = 10, shuffle = True, batch_size=32, validation_data=(x_test, y_test), verbose=1)
scores = model.evaluate(features, results)
print(model.metrics_names[1], scores[1]*100)
Selecting those requires prior experience, otherwise we won't need that much ML Engineers trying different architectures and writing papers.
But for a start I would recommend you take a look at autokeras, It will help with your problem as it's kind of a known problem -Text Classification-, you only need to structure your data as input(X and Y) and then feed that to their Text Classifier which will try different models(You could specify that) to choose the best fitting for your case.
You could find more examples in the docs here
https://autokeras.com/tutorial/text_classification/
import autokeras as ak
# Initialize the text classifier.
clf = ak.TextClassifier(max_trials=10) # It tries 10 different models
# Feed the text classifier with training data.
clf.fit(x_train, y_train)
# Predict with the best model.
predicted_y = clf.predict(x_test)
# Evaluate the best model with testing data.
print(clf.evaluate(x_test, y_test))
Answer is no and no.
Well these are also hyperparameters. You can select a bunch of them and try all of them to get a rough idea of which is giving you the best result. Yes the same statement holds for activation function as well.
You can use more layers than you need and then use regularization to stop producing an overfitted model. Also if it is too less you can clearly understand the underfitting behavior from the loss curve giving high training error.
There is no formula for determining all these. You have to try different things based on the problem at hand and you will see some of it would work better than the others.
For output softmax layer would be good as this will give you a probability of predictions which you can easily convert to one-hot encoding.
I'm a beginner in Neural Network and trying to predict values which are temperature values(output) with 5 inputs in python. I used keras package in python to work Neural Network.
Also, I used two algorithms which are feedforward Neural Network(Regression) and Recurrent Neural Network(LSTM) to predict values. However, both of algorithms didn't work well for forecasting.
In my case of Feedforward Neural Network(Regression), I used 3 hidden layers(with 100, 200, 300 neurons) like code below,
def baseline_model():
# create model
model = Sequential()
model.add(Dense(100, input_dim=5, kernel_initializer='normal', activation='sigmoid'))
model.add(Dense(200, kernel_initializer = 'normal', activation='sigmoid'))
model.add(Dense(300, kernel_initializer = 'normal', activation='sigmoid'))
model.add(Dense(1, kernel_initializer='normal'))
# Compile model
model.compile(loss='mean_squared_error', optimizer='adam')
return model
df = DataFrame({'Time': TIME_list, 'input1': input1_list, 'input2': input2_list, 'input3': input3_list, 'input4': input4_list, 'input5': input5_list, 'output': output_list})
df.index = pd.to_datetime(df.Time)
df = df.values
#Setting training data and test data
train_size_x = int(len(df)*0.8) #The user can change the range of training data
print(train_size_x)
X_train = df[0:train_size_x, 0:5]
t_train = df[0:train_size_x, 6]
X_test = df[train_size_x:int(len(df)), 0:5]
t_test = df[train_size_x:int(len(df)), 6]
# fix random seed for reproducibility
seed = 7
np.random.seed(seed)
scale = StandardScaler()
X_train = scale.fit_transform(X_train)
X_test = scale.transform(X_test)
#Regression in Keras package
clf = KerasRegressor(build_fn=baseline_model, nb_epoch=50, batch_size=5, verbose=0)
clf.fit(X_train,t_train)
res = clf.predict(X_test)
However, the error was quite big. The maximum absolute error was 78.4834. So I tried to minimize that error by changing number of hidden layer or neurons in hidden layer, but the error stayed around same.
After feedforward NN, secondly, I used Recurrent Neural Network(LSTM) algorithm which can predict by using only one input. In my case, the input is temperature. It gives me much less error than the feedforward NN, but I was lost in deep thought that Recurrent Nueral Network(LSTM) I implemented is little ambiguous in my case because it didn't use 5 inputs that affect the output(temperature value) such as feedforward regression that I implemented above.
And now I got lost what other kinds of algorithm I should use.
Any suggestions or ideas for my case..?
Thanks in advance.
I have to agree with the commenter to your question, you are jumping a little ahead of yourself. Neural networks can seem like black magic at times and its worth taking the time to understand whats actually going on under the hood. A good place to start learning and experimenting is with sklearn. Sklearn is a good place to start because you can try different techniques easily, this will help you learn quickly how to structure your problems. There is also an abundance of info and tutorials.
From there, you will be better equipped to tackling your own NN from scratch. Additionally, sklearn has many useful functions to pre-process/normalize your training data, which is a whole art in itself.
There are tons of good networks already available for common situations. Most of the work is in choosing the right structure for your problem, getting good data to train on, and massaging that data so it can be utilized properly.
Check it out... http://scikit-learn.org/stable/
I'm trying to understand how to implement neural networks. So I made my own dataset. Xtrain is numpy.random floats. Ytrain is sign(sin(1/x^3).
Try to implement neural networks gave me very poor results. 30%accuracy. Random Forest with 100 trees give 97%. But I heard that NN can approximate any function. What is wrong in my understanding?
import numpy as np
import keras
import math
from sklearn.ensemble import RandomForestClassifier as RF
train = np.random.rand(100000)
test = np.random.rand(100000)
def g(x):
if math.sin(2*3.14*x) > 0:
if math.cos(2*3.14*x) > 0:
return 0
else:
return 1
else:
if math.cos(2*3.14*x) > 0:
return 2
else:
return 3
def f(x):
x = (1/x) ** 3
res = [0, 0, 0, 0]
res[g(x)] = 1
return res
ytrain = np.array([f(x) for x in train])
ytest = np.array([f(x) for x in test])
train = np.array([[x] for x in train])
test = np.array([[x] for x in test])
from keras.models import Sequential
from keras.layers import Dense, Activation, Embedding, LSTM
model = Sequential()
model.add(Dense(100, input_dim=1))
model.add(Activation('sigmoid'))
model.add(Dense(100))
model.add(Activation('sigmoid'))
model.add(Dense(100))
model.add(Activation('sigmoid'))
model.add(Dense(4))
model.add(Activation('softmax'))
model.compile(optimizer='sgd',
loss='categorical_crossentropy',
metrics=['accuracy'])
P.S. I tried out many layers, activation functions, loss functions, optimizers, but never got more than 30% accuracy :(
I suspect that the 30% accuracy is a combination of small learning rate setting and a small training-step setting.
I ran your code snippet with model.fit(train, ytrain, nb_epoch=5, batch_size=32), after 5 epoch's training it yields about 28% accuracy. With the same setting but increasing the training steps to nb_epoch=50, the loss drops to ~1.157 ish and the accuracy raises to 40%. Further increase training steps should lead the model to further converging. Other than that, you can also try to configure the model with a larger learning rate setting which could make the converging faster :
model.compile(loss='categorical_crossentropy', optimizer=SGD(lr=0.1, momentum=0.9, nesterov=True), metrics=['accuracy'])
Although be careful don't set the learning rate to be too large otherwise your loss could blow up.
EDIT:
NN is known for having the potential for modeling extremely complex function, however, whether or not the model actually produce a good performance is a matter of how the model is designed, trained, and many other matters related to the specific application.
Zhongyu Kuang's answer is correct in stating that you may need to train it longer or with a different learning rate.
I'll add that the deeper your network, the longer you'll need to train it before it converges. For a relatively simple function like sign(sin(1/x^3)), you may be able to get away with a smaller network than the one you're using.
Additionally, softmax probably isn't the best output layer. You just need to yield -1 or 1. A single tanh unit seems like it would do well. softmax is generally used when you want to learn a probability distribution over a finite set. (You'll probably want to switch your error function from cross entropy to mean square error for similar reasons.)
Try a network with one sigmoidal hidden layer and an output layer with just one tanh unit. Then play around with the layer size and learning rate. Maybe add a second hidden layer if you can't get results with just one, but I wouldn't be surprised if it's unnecessary.
Addendum: In this approach, you'll replace f(x) with a direct calculation of the target function instead of the one-hot vector you're using currently.