I have an imbalanced dataset with 2 classes with low examples and 3 with a high number of examples. Is there a standard method of calculating the weights for the loss function, so as to create a system with high precision?
Taking a step back, let me point you in 2 possible directions:
Undersampling and oversampling : This procedure takes place on the dataset level. The goal is to generate new samples from the underrepresented classes (oversampling). Or decrease the number of samples from the overrepressented classes (undersampling). See the following link + package: imbalanced-learn.
Adjusting loss function : This technique is applied on the classifier's loss function guaranteeing that samples from underrepresented classes contribute more to the overall loss (in relative terms). See this discussion How does the class_weight parameter in scikit-learn work?
Also, this article gives a general overview
8 Tactics to Combat Imbalanced Classes in Your Machine Learning Dataset.
Related
I have to deal with Class Imbalance Problem and do a binary-classification of the input test data-set where majority of the class-label is 1 (the other class-label is 0) in the training data-set.
For example, following is some part of the training data :
93.65034,94.50283,94.6677,94.20174,94.93986,95.21071,1
94.13783,94.61797,94.50526,95.66091,95.99478,95.12608,1
94.0238,93.95445,94.77115,94.65469,95.08566,94.97906,1
94.36343,94.32839,95.33167,95.24738,94.57213,95.05634,1
94.5774,93.92291,94.96261,95.40926,95.97659,95.17691,0
93.76617,94.27253,94.38002,94.28448,94.19957,94.98924,0
where the last column is the class-label - 0 or 1. The actual data-set is very skewed with a 10:1 ratio of classes, that is around 700 samples have 0 as their class label, while the rest 6800 have 1 as their class label.
The above mentioned are only a few of the all the samples in the given data-set, but the actual data-set contains about 90% of samples with class-label as 1, and the rest with class-label being 0, despite the fact that more or less all the samples are very much similar.
Which classifier should be best for handling this kind of data-set ?
I have already tried logistic-regression as well as svm with class-weight parameter set as "balanced", but got no significant improvement in accuracy.
but got no significant improvement in accuracy.
Accuracy isn't the way to go (e.g. see Accuracy paradox). With a 10:1 ratio of classes you can easily get a 90% accuracy just by always predicting class-label 0.
Some good starting points are:
try a different performance metric. E.g. F1-score and Matthews correlation coefficient
"resample" the dataset: add examples from the under-represented class (over-sampling) / delete instances from the over-represented class (under-sampling; you should have a lot of data)
a different point of view: anomaly detection is a good try for an imbalanced dataset
a different algorithm is another possibility but not a silver shoot. Probably you should start with decision trees (often perform well on imbalanced datasets)
EDIT (now knowing you're using scikit-learn)
The weights from the class_weight (scikit-learn) parameter are used to train the classifier (so balanced is ok) but accuracy is a poor choice to know how well it's performing.
The sklearn.metrics module implements several loss, score and utility functions to measure classification performance. Also take a look at How to compute precision, recall, accuracy and f1-score for the multiclass case with scikit learn?.
Have you tried plotting a ROC curve and AUC curve to check your parameters and different thresholds? If not that should give you a good starting point.
I have data set for classification problem. I have in total 50 classes.
Class1: 10,000 examples
Class2: 10 examples
Class3: 5 examples
Class4: 35 examples
.
.
.
and so on.
I tried to train my classifier using SVM ( both linear and Gaussian kernel). My accurate is very bad on test data 65 and 72% respectively. Now I am thinking to go for a neural network. Do you have any suggestion for any machine learning model and algorithm for large imbalanced data? It would be extremely helpful to me
You should provide more information about the data set features and the class distribution, this would help others to advice you.
In any case, I don't think a neural network fits here as this data set is too small for it.
Assuming 50% or more of the samples are of class 1 then I would first start by looking for a classifier that differentiates between class 1 and non-class 1 samples (binary classification). This classifier should outperform a naive classifier (benchmark) which randomly chooses a classification with a prior corresponding to the training set class distribution.
For example, assuming there are 1,000 samples, out of which 700 are of class 1, then the benchmark classifier would classify a new sample as class 1 in a probability of 700/1,000=0.7 (like an unfair coin toss).
Once you found a classifier with good accuracy, the next phase can be classifying the non-class 1 classified samples as one of the other 49 classes, assuming these classes are more balanced then I would start with RF, NB and KNN.
There are multiple ways to handle with imbalanced datasets, you can try
Up sampling
Down Sampling
Class Weights
I would suggest either Up sampling or providing class weights to balance it
https://towardsdatascience.com/5-techniques-to-work-with-imbalanced-data-in-machine-learning-80836d45d30c
You should think about your performance metric, don't use Accuracy score as your performance metric , You can use Log loss or any other suitable metric
https://machinelearningmastery.com/failure-of-accuracy-for-imbalanced-class-distributions/
From my experience the most successful ways to deal with unbalanced classes are :
Changing distribiution of inputs: 20000 samples (the approximate number of examples which you have) is not a big number so you could change your dataset distribiution simply by using every sample from less frequent classes multiple times. Depending on a number of classes you could set the number of examples from them to e.g. 6000 or 8000 each in your training set. In this case remember to not change distribiution on test and validation set.
Increase the time of training: in case of neural networks, when changing distribiution of your input is impossible I strongly advise you trying to learn network for quite a long time (e.g. 1000 epochs). In this case you have to remember about regularisation. I usually use dropout and l2 weight regulariser with their parameters learnt by random search algorithm.
Reduce the batch size: In neural networks case reducing a batch size might lead to improving performance on less frequent classes.
Change your loss function: using MAPE insted of Crossentropy may also improve accuracy on less frequent classes.
Feel invited to test different combinations of approaches shown by e.g. random search algorithm.
Data-level methods:
Undersampling runs the risk of losing important data from removing data. Oversampling runs the risk of overfitting on training data, especially if the added copies of the minority class are replicas of existing data. Many sophisticated sampling techniques have been developed to mitigate these risks.
One such technique is two-phase learning. You first train your model on the resampled data. This resampled data can be achieved by randomly undersampling large classes until each class has only N instances. You then fine-tune your model on the original data.
Another technique is dynamic sampling: oversample the low-performing classes and undersample the high-performing classes during the training process. Introduced by Pouyanfar et al., the method aims to show the model less of what it has already learned and more of what it has not.
Algorithm-level methods
Cost-sensitive learning
Class-balanced loss
Focal loss
References:
esigning Machine Learning Systems
Survey on deep learning with class imbalance
I am interested in any tips on how to train a set with a very limited positive set and a large negative set.
I have about 40 positive examples (quite lengthy articles about a particular topic), and about 19,000 negative samples (most drawn from the sci-kit learn newsgroups dataset). I also have about 1,000,000 tweets that I could work with.. negative about the topic I am trying to train on. Is the size of the negative set versus the positive going to negatively influence training a classifier?
I would like to use cross-validation in sci-kit learn. Do I need to break this into train / test-dev / test sets? Is know there are some pre-built libraries in sci-kit. Any implementation examples that you recommend or have used previously would be helpful.
Thanks!
The answer to your first question is yes, the amount by which it will affect your results depends on the algorithm. My advive would be to keep an eye on the class-based statistics such as recall and precision (found in classification_report).
For RandomForest() you can look at this thread which discusses
the sample weight parameter. In general sample_weight is what
you're looking for in scikit-learn.
For SVM's have a look at either this example or this
example.
For NB classifiers, this should be handled implicitly by Bayes
rule, however in practice you may see some poor performances.
For you second question it's up for discussion, personally I break my data into a training and test split, perform cross validation on the training set for parameter estimation, retrain on all the training data and then test on my test set. However the amount of data you have may influence the way you split your data (more data means more options).
You could probably use Random Forest for your classification problem. There are basically 3 parameters to deal with data imbalance. Class Weight, Samplesize and Cutoff.
Class Weight-The higher the weight a class is given, the more its error rate is decreased.
Samplesize- Oversample the minority class to improve class imbalance while sampling the defects for each tree[not sure if Sci-kit supports this, used to be param in R)
Cutoff- If >x% trees vote for the minority class, classify it as minority class. By default x is 1/2 in Random forest for 2-class problem. You can set it to a lower value for the minority class.
Check out balancing predict error at https://www.stat.berkeley.edu/~breiman/RandomForests/cc_home.htm
For the 2nd question if you are using Random Forest, you do not need to keep separate train/validation/test set. Random Forest does not choose any parameters based on a validation set, so validation set is un-necessary.
Also during the training of Random Forest, the data for training each individual tree is obtained by sampling by replacement from the training data, thus each training sample is not used for roughly 1/3 of the trees. We can use the votes of these 1/3 trees to predict the out of box probability of the Random forest classification. Thus with OOB accuracy you just need a training set, and not validation or test data to predict performance on unseen data. Check Out of Bag error at https://www.stat.berkeley.edu/~breiman/RandomForests/cc_home.htm for further study.
The Situation:
I am wondering how to use TensorFlow optimally when my training data is imbalanced in label distribution between 2 labels. For instance, suppose the MNIST tutorial is simplified to only distinguish between 1's and 0's, where all images available to us are either 1's or 0's. This is straightforward to train using the provided TensorFlow tutorials when we have roughly 50% of each type of image to train and test on. But what about the case where 90% of the images available in our data are 0's and only 10% are 1's? I observe that in this case, TensorFlow routinely predicts my entire test set to be 0's, achieving an accuracy of a meaningless 90%.
One strategy I have used to some success is to pick random batches for training that do have an even distribution of 0's and 1's. This approach ensures that I can still use all of my training data and produced decent results, with less than 90% accuracy, but a much more useful classifier. Since accuracy is somewhat useless to me in this case, my metric of choice is typically area under the ROC curve (AUROC), and this produces a result respectably higher than .50.
Questions:
(1) Is the strategy I have described an accepted or optimal way of training on imbalanced data, or is there one that might work better?
(2) Since the accuracy metric is not as useful in the case of imbalanced data, is there another metric that can be maximized by altering the cost function? I can certainly calculate AUROC post-training, but can I train in such a way as to maximize AUROC?
(3) Is there some other alteration I can make to my cost function to improve my results for imbalanced data? Currently, I am using a default suggestion given in TensorFlow tutorials:
cost = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(pred, y))
optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate).minimize(cost)
I have heard this may be possible by up-weighting the cost of miscategorizing the smaller label class, but I am unsure of how to do this.
(1)It's ok to use your strategy. I'm working with imbalanced data as well, which I try to use down-sampling and up-sampling methods first to make the training set even distributed. Or using ensemble method to train each classifier with an even distributed subset.
(2)I haven't seen any method to maximise the AUROC. My thought is that AUROC is based on true positive and false positive rate, which doesn't tell how well it works on each instance. Thus, it may not necessarily maximise the capability to separate the classes.
(3)Regarding weighting the cost by the ratio of class instances, it similar to Loss function for class imbalanced binary classifier in Tensor flow
and the answer.
Regarding imbalanced datasets, the first two methods that come to mind are (upweighting positive samples, sampling to achieve balanced batch distributions).
Upweighting positive samples
This refers to increasing the losses of misclassified positive samples when training on datasets that have much fewer positive samples. This incentivizes the ML algorithm to learn parameters that are better for positive samples. For binary classification, there is a simple API in tensorflow that achieves this. See (weighted_cross_entropy) referenced below
https://www.tensorflow.org/api_docs/python/tf/nn/weighted_cross_entropy_with_logits
Batch Sampling
This involves sampling the dataset so that each batch of training data has an even distribution positive samples to negative samples. This can be done using the rejections sampling API provided from tensorflow.
https://www.tensorflow.org/api_docs/python/tf/contrib/training/rejection_sample
I'm one who struggling with imbalanced data. What my strategy to counter imbalanced data are as below.
1) Use cost function calculating 0 and 1 labels at the same time like below.
cost = tf.reduce_mean(-tf.reduce_sum(y*tf.log(_pred) + (1-y)*tf.log(1-_pred), reduction_indices=1))
2) Use SMOTE, oversampling method making number of 0 and 1 labels similar. Refer to here, http://comments.gmane.org/gmane.comp.python.scikit-learn/5278
Both strategy worked when I tried to make credit rating model.
Logistic regression is typical method to handle imbalanced data and binary classification such as predicting default rate. AUROC is one of the best metric to counter imbalanced data.
1) Yes. This is well received strategy to counter imbalanced data. But this strategy is good in Neural Nets only if you using SGD.
Another easy way to balance the training data is using weighted examples. Just amplify the per-instance loss by a larger weight/smaller when seeing imbalanced examples. If you use online gradient descent, it can be as simple as using a larger/smaller learning rate when seeing imbalanced examples.
Not sure about 2.
How should I set my gamma and Cost parameters in libSVM when I am using an imbalanced dataset that consists of 75% 'true' labels and 25% 'false' labels? I'm getting a constant error of having all the predicted labels set on 'True' due to the data imbalance.
If the issue isn't with libSVM, but with my dataset, how should I handle this imbalance from a Theoretical Machine Learning standpoint? *The number of features I'm using is between 4-10 and I have a small set of 250 data points.
Classes imbalance has nothing to do with selection of C and gamma, to deal with this issue you should use the class weighting scheme which is avaliable in for example scikit-learn package (built on libsvm)
Selection of best C and gamma is performed using grid search with cross validation. You should try vast range of values here, for C it is reasonable to choose values between 1 and 10^15 while a simple and good heuristic of gamma range values is to compute pairwise distances between all your data points and select gamma according to the percentiles of this distribution - think about putting in each point a gaussian distribution with variance equal to 1/gamma - if you select such gamma that this distribution overlaps will many points you will get very "smooth" model, while using small variance leads to the overfitting.
Imbalanced data sets can be tackled in various ways. Class balance has no effect on kernel parameters such as gamma for the RBF kernel.
The two most popular approaches are:
Use different misclassification penalties per class, this basically means changing C. Typically the smallest class gets weighed higher, a common approach is npos * wpos = nneg * wneg. LIBSVM allows you to do this using its -wX flags.
Subsample the overrepresented class to obtain an equal amount of positives and negatives and proceed with training as you traditionally would for a balanced set. Take note that you basically ignore a large chunk of data this way, which is intuitively a bad idea.
I know this has been asked some time ago, but I would like to answer it since you might find my answer useful.
As others have mentioned, you might want to consider using different weights for the minority classes or using different misclassification penalties. However, there is a more clever way of dealing with the imbalanced datasets.
You can use the SMOTE (Synthetic Minority Over-sampling Technique) algorithm to generate synthesized data for the minority class. It is a simple algorithm that can deal with some imbalance datasets pretty well.
In each iteration of the algorithm, SMOTE considers two random instances of the minority class and add an artificial example of the same class somewhere in between. The algorithm keeps injecting the dataset with the samples until the two classes become balanced or some other criteria(e.g. add certain number of examples). Below you can find a picture describing what the algorithm does for a simple dataset in 2D feature space.
Associating weight with the minority class is a special case of this algorithm. When you associate weight $w_i$ with instance i, you are basically adding the extra $w_i - 1$ instances on top of the instance i!
What you need to do is to augment your initial dataset with the samples created by this algorithm, and train the SVM with this new dataset. You can also find many implementation online in different languages like Python and Matlab.
There have been other extensions of this algorithm, I can point you to more materials if you want.
To test the classifier you need to split the dataset into test and train, add synthetic instances to the train set (DO NOT ADD ANY TO THE TEST SET), train the model on the train set, and finally test it on the test set. If you consider the generated instances when you are testing you will end up with a biased(and ridiculously higher) accuracy and recall.