Training Set Balancing Strategies - statistics

If you had a training set containing instances for various classes and it was highly imbalanced. What strategy would you use to balance it?
Information about real-world population: 7 classes whereof the smallest accounts for 5%.
Information about training set: frequencies differ largely from the populations frequencies.
Here are two options:
Bias it to the populations class frequencies.
Bias it to a uniform distribution.
With biasing i intend something like SMOTE or Cost-Sensitive Classification.
I am insecure which strategy to follow. I am also open for other suggestions. How would you evaluate the success of the strategy?

As you mentioned, for training you have two options. Either to balance your data set (works if you have very large amount of data and/or small number of features, so that throwing away some samples won't affect learning), or use different weights for different classes, according to their frequencies. The latter is typically straightforward to do, but depends on the method and library you choose.
Once you have your classifier trained (with some prior on your training set), you can easily update the prediction probabilities if your priors change (different frequencies in training and population). There is an excellent overview how to replace the prior information, that explains it better than I could in a short post. Take a look at Combining probabilities, Section 3 (Replacing prior information).

Related

How to put more weight on one class during training in Pytorch [duplicate]

I have a multilabel classification problem, which I am trying to solve with CNNs in Pytorch. I have 80,000 training examples and 7900 classes; every example can belong to multiple classes at the same time, mean number of classes per example is 130.
The problem is that my dataset is very imbalance. For some classes, I have only ~900 examples, which is around 1%. For “overrepresented” classes I have ~12000 examples (15%). When I train the model I use BCEWithLogitsLoss from pytorch with a positive weights parameter. I calculate the weights the same way as described in the documentation: the number of negative examples divided by the number of positives.
As a result, my model overestimates almost every class… Mor minor and major classes I get almost twice as many predictions as true labels. And my AUPRC is just 0.18. Even though it’s much better than no weighting at all, since in this case the model predicts everything as zero.
So my question is, how do I improve the performance? Is there anything else I can do? I tried different batch sampling techniques (to oversample minority class), but they don’t seem to work.
I would suggest either one of these strategies
Focal Loss
A very interesting approach for dealing with un-balanced training data through tweaking of the loss function was introduced in
Tsung-Yi Lin, Priya Goyal, Ross Girshick, Kaiming He and Piotr Dollar Focal Loss for Dense Object Detection (ICCV 2017).
They propose to modify the binary cross entropy loss in a way that decrease the loss and gradient of easily classified examples while "focusing the effort" on examples where the model makes gross errors.
Hard Negative Mining
Another popular approach is to do "hard negative mining"; that is, propagate gradients only for part of the training examples - the "hard" ones.
see, e.g.:
Abhinav Shrivastava, Abhinav Gupta and Ross Girshick Training Region-based Object Detectors with Online Hard Example Mining (CVPR 2016)
#Shai has provided two strategies developed in the deep learning era. I would like to provide you some additional traditional machine learning options: over-sampling and under-sampling.
The main idea of them is to produce a more balanced dataset by sampling before starting your training. Note that you probably will face some problems such as losing the data diversity (under-sampling) and overfitting the training data (over-sampling), but it might be a good start point.
See the wiki link for more information.

When and Whether should we normalize the ground-truth labels in the multi-task regression models?

I am trying a multi-task regression model. However, the ground-truth labels of different tasks are on different scales. Therefore, I wonder whether it is necessary to normalize the targets. Otherwise, the MSE of some large-scale tasks will be extremely bigger. The figure below is part of my overall targets. You can certainly find that columns like ASA_m2_c have much higher values than some others.
First, I have already tried some weighted loss techniques to balance the concentration of my model when it does gradient backpropagation. The result shows it didn't perform well.
Secondly, I have seen tremendous discussions regarding normalizing the input data, but hardly discovered any particular talking about normalizing the labels. It's partly because most of the people's problems are classification type and a single task. I do know pytorch provides a convenient approach to normalize the vision dataset by transform.normalize, which is still operated on the input rather than the labels.
Similar questions: https://forums.fast.ai/t/normalizing-your-dataset/49799
https://discuss.pytorch.org/t/ground-truth-label-normalization/26981/19
PyTorch - How should you normalize individual instances
Moreover, I think it might be helpful to provide some details of my model architecture. The input is first fed into a feature extractor and then several generators use the shared output representation from that extractor to predict different targets.
I've been working on a Multi-Task Learning problem where one head has an output of ~500 and another between 0 and 1.
I've tried Uncertainty Weighting but in vain. So I'd be grateful if you could give me a little clue about your studies.(If there is any progress)
Thanks.

Why does more features in a random forest decrease accuracy dramatically?

I am using sklearn's random forests module to predict values based on 50 different dimensions. When I increase the number of dimensions to 150, the accuracy of the model decreases dramatically. I would expect more data to only make the model more accurate, but more features tend to make the model less accurate.
I suspect that splitting might only be done across one dimension which means that features which are actually more important get less attention when building trees. Could this be the reason?
Yes, the additional features you have added might not have good predictive power and as random forest takes random subset of features to build individual trees, the original 50 features might have got missed out. To test this hypothesis, you can plot variable importance using sklearn.
Your model is overfitting the data.
From Wikipedia:
An overfitted model is a statistical model that contains more parameters than can be justified by the data.
https://qph.fs.quoracdn.net/main-qimg-412c8556aacf7e25b86bba63e9e67ac6-c
There are plenty of illustrations of overfitting, but for instance, this 2d plot represents the different functions that would have been learned for a binary classification task. Because the function on the right has too many parameters, it learns wrongs data patterns that don't generalize properly.

Need help applying scikit-learn to this unbalanced text categorization task

I have a multi-class text classification/categorization problem. I have a set of ground truth data with K different mutually exclusive classes. This is an unbalanced problem in two respects. First, some classes are a lot more frequent than others. Second, some classes are of more interest to us than others (those generally positively correlate with their relative frequency, although there are some classes of interest that are fairly rare).
My goal is to develop a single classifier or a collection of them to be able to classify the k << K classes of interest with high precision (at least 80%) while maintaining reasonable recall (what's "reasonable" is a bit vague).
Features that I use are mostly typical unigram-/bigram-based ones plus some binary features coming from metadata of the incoming documents that are being classified (e.g. whether them were submitted via email or though a webform).
Because of the unbalanced data, I am leaning toward developing binary classifiers for each of the important classes, instead of a single one like a multi-class SVM.
What ML learning algorithms (binary or not) implemented in scikit-learn allow for training tuned to precision (versus for example recall or F1) and what options do I need to set for that?
What data analysis tools in scikit-learn can be used for feature selection to narrow down the features that might be the most relevant to the precision-oriented classification of a particular class?
This is not really a "big data" problem: K is about 100, k is about 15, the total number of samples available to me for training and testing is about 100,000.
Thx
Given that k is small, I would just do this manually. For each desired class, train your individual (one vs the rest) classifier, take look at the precision-recall curve, and then choose the threshold that gives the desired precision.

Training set - proportion of pos / neg / neutral sentences

I am hand tagging twitter messages as Positive, Negative, Neutral. I am try to appreciate is there some logic one can use to identify of the training set what proportion of message should be positive / negative and neutral ?
So for e.g. if I am training a Naive Bayes classifier with 1000 twitter messages should the proportion of pos : neg : neutral be 33 % : 33% : 33% or should it be 25 % : 25 % : 50 %
Logically in my head it seems that I i train (i.e. give more samples for neutral) that the system would be better at identifying neutral sentences then whether they are positive or negative - is that true ? or I am missing some theory here ?
Thanks
Rahul
The problem you're referring to is known as the imbalance problem. Many machine learning algorithms perform badly when confronted with imbalanced training data, i.e. when the instances of one class heavily outnumber those of the other class. Read this article to get a good overview of the problem and how to approach it. For techniques like naive bayes or decision trees it is always a good idea to balance your data somehow, e.g. by random oversampling (explained in the references paper). I disagree with mjv's suggestion to have a training set match the proportions in the real world. This may be appropriate in some cases but I'm quite confident it's not in your setting. For a classification problem like the one you describe, the more the sizes of the class sets differ, the more most ML algorithms will have problems discriminating the classes properly. However, you can always use the information about which class is the largest in reality by taking it as a fallback such that when the classifier's confidence for a particular instance is low or this instance couldn't be classified at all, you would assign it the largest class.
One further remark: finding the positivity/negativity/neutrality in Twitter messages seems to me to be a question of degree. As such, it may be viewes as a regression rather than a classification problem, i.e. instead of a three class scheme you perhaps may want calculate a score which tells you how positive/negative the message is.
There are many other factors... but an important one (in determining a suitable ratio and volume of training data) is the expected distribution of each message category (Positive, Neutral, Negative) in the real world. Effectively, a good baseline for the training set (and the control set) is
[qualitatively] as representative as possible of the whole "population"
[quantitatively] big enough that measurements made from such sets is statistically significant.
The effect of the [relative] abundance of a certain category of messages in the training set is hard to determine; it is in any case a lesser factor -or rather one that is highly sensitive to- other factors. Improvements in the accuracy of the classifier, as a whole, or with regards to a particular category, is typically tied more to the specific implementation of the classifier (eg. is it Bayesian, what are the tokens, are noise token eliminated, is proximity a factor, are we using bi-grams etc...) than to purely quantitative characteristics of the training set.
While the above is generally factual but moderately helpful for the selection of the training set's size and composition, there are ways of determining, post facto, when an adequate size and composition of training data has been supplied.
One way to achieve this is to introduce a control set, i.e. one manually labeled but that is not part of the training set and to measure for different test runs with various subsets of the training set, the recall and precision obtained for each category (or some similar accuracy measurements), for this the classification of the control set. When these measurements do not improve or degrade, beyond what's statistically representative, the size and composition of the training [sub-]set is probably the right one (unless it is an over-fitting set :-(, but that's another issue altogether... )
This approach, implies that one uses a training set that could be 3 to 5 times the size of the training subset effectively needed, so that one can build, randomly (within each category), many different subsets for the various tests.

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