Monday, August 14, 2017

Why your Neural Network is not working

New activation function
Adaptive learning rate
Early stopping
Regularization
Dropout

Training not good

- activation function
sigmoid 
too many layers, vanishing gradient problem (for smaller gradients, learn very slowly, almost random,. for larger gradients, learn very fast, already converged), which leads to bad performance in the training
an intuitive way to compute the derivatives,  map (negative infinity to positive infinity ) to (0, 1), after many layers, the gradient is small
relu
- fast to compute, biological reason, infinite sigmoid with different bias, handle vanishing gradient issues
leaky relu
maxout - learn activation functions

- adaptive learning rate
Error surface can be very complex when training NN.
Smaller learning rate is in some areas, but larger learning rate is in some areas, maybe could do RMSProp for learning rate
Adam - RMSProp + Momentum

Evaluation not good

- early stop
total loss decreasing in the training but the total loss increases in the evaluation. training should stop when loss minimized in both datasets

- regularization
new loss function to be minimized when finding a set of weights no only minimizing original costs but also close to zero.

1 Start with a simple model that is known to work for this type of data (for example, VGG for images). Use a standard loss if possible.
2 Turn off all bells and whistles, e.g. regularization and data augmentation.
3 If finetuning a model, double check the preprocessing, for it should be the same as the original model’s training.
4 Verify that the input data is correct.
5 Start with a really small dataset (2–20 samples). Overfit on it and gradually add more data.
6 Start gradually adding back all the pieces that were omitted: augmentation/regularization, custom loss functions, try more complex models.

Why your Neural Network is not working
1. Check your input data
Check if the input data you are feeding the network makes sense. For example, I’ve more than once mixed the width and the height of an image. Sometimes, I would feed all zeroes by mistake. Or I would use the same batch over and over. So print/display a couple of batches of input and target output and make sure they are OK.
2. Try random input
Try passing random numbers instead of actual data and see if the error behaves the same way. If it does, it’s a sure sign that your net is turning data into garbage at some point. Try debugging layer by layer /op by op/ and see where things go wrong.
3. Check the data loader
Your data might be fine but the code that passes the input to the net might be broken. Print the input of the first layer before any operations and check it.
4. Make sure input is connected to output
Check if a few input samples have the correct labels. Also make sure shuffling input samples works the same way for output labels.
5. Is the relationship between input and output too random?
Maybe the non-random part of the relationship between the input and output is too small compared to the random part (one could argue that stock prices are like this). I.e. the input are not sufficiently related to the output. There isn’t an universal way to detect this as it depends on the nature of the data.
6. Is there too much noise in the dataset?
This happened to me once when I scraped an image dataset off a food site. There were so many bad labels that the network couldn’t learn. Check a bunch of input samples manually and see if labels seem off.
The cutoff point is up for debate, as this paper got above 50% accuracy on MNIST using 50% corrupted labels.
7. Shuffle the dataset
If your dataset hasn’t been shuffled and has a particular order to it (ordered by label) this could negatively impact the learning. Shuffle your dataset to avoid this. Make sure you are shuffling input and labels together.
8. Reduce class imbalance
Are there a 1000 class A images for every class B image? Then you might need to balance your loss function or try other class imbalance approaches.
9. Do you have enough training examples?
If you are training a net from scratch (i.e. not finetuning), you probably need lots of data. For image classification, people say you need a 1000 images per class or more.
10. Make sure your batches don’t contain a single label
This can happen in a sorted dataset (i.e. the first 10k samples contain the same class). Easily fixable by shuffling the dataset.
11. Reduce batch size
This paper points out that having a very large batch can reduce the generalization ability of the model.
12. Standardize the features
Did you standardize your input to have zero mean and unit variance?
13. Do you have too much data augmentation?
Augmentation has a regularizing effect. Too much of this combined with other forms of regularization (weight L2, dropout, etc.) can cause the net to underfit.
14. Check the preprocessing of your pretrained model
If you are using a pretrained model, make sure you are using the same normalization and preprocessing as the model was when training. For example, should an image pixel be in the range [0, 1], [-1, 1] or [0, 255]?
15. Check the preprocessing for train/validation/test set
“… any preprocessing statistics (e.g. the data mean) must only be computed on the training data, and then applied to the validation/test data. E.g. computing the mean and subtracting it from every image across the entire dataset and then splitting the data into train/val/test splits would be a mistake. “
Also, check for different preprocessing in each sample or batch.
16. Try solving a simpler version of the problem
This will help with finding where the issue is. For example, if the target output is an object class and coordinates, try limiting the prediction to object class only.
17. Look for correct loss “at chance”
Again from the excellent CS231n: Initialize with small parameters, without regularization. For example, if we have 10 classes, at chance means we will get the correct class 10% of the time, and the Softmax loss is the negative log probability of the correct class so: -ln(0.1) = 2.302.
After this, try increasing the regularization strength which should increase the loss.
18. Check your loss function
If you implemented your own loss function, check it for bugs and add unit tests. Often, my loss would be slightly incorrect and hurt the performance of the network in a subtle way.
19. Verify loss input
If you are using a loss function provided by your framework, make sure you are passing to it what it expects. For example, in PyTorch I would mix up the NLLLoss and CrossEntropyLoss as the former requires a softmax input and the latter doesn’t.
20. Adjust loss weights
If your loss is composed of several smaller loss functions, make sure their magnitude relative to each is correct. This might involve testing different combinations of loss weights.
21. Monitor other metrics
Sometimes the loss is not the best predictor of whether your network is training properly. If you can, use other metrics like accuracy.
22. Test any custom layers
Did you implement any of the layers in the network yourself? Check and double-check to make sure they are working as intended.
23. Check for “frozen” layers or variables
Check if you unintentionally disabled gradient updates for some layers/variables that should be learnable.
24. Increase network size
Maybe the expressive power of your network is not enough to capture the target function. Try adding more layers or more hidden units in fully connected layers.
25. Check for hidden dimension errors
If your input looks like (k, H, W) = (64, 64, 64) it’s easy to miss errors related to wrong dimensions. Use weird numbers for input dimensions (for example, different prime numbers for each dimension) and check how they propagate through the network.
26. Explore Gradient checking
If you implemented Gradient Descent by hand, gradient checking makes sure that your backpropagation works like it should. More info: 1 2 3.
27. Solve for a really small dataset
Overfit a small subset of the data and make sure it works. For example, train with just 1 or 2 examples and see if your network can learn to differentiate these. Move on to more samples per class.
28. Check weights initialization
If unsure, use Xavier or He initialization. Also, your initialization might be leading you to a bad local minimum, so try a different initialization and see if it helps.
29. Change your hyperparameters
Maybe you using a particularly bad set of hyperparameters. If feasible, try a grid search.
30. Reduce regularization
Too much regularization can cause the network to underfit badly. Reduce regularization such as dropout, batch norm, weight/bias L2 regularization, etc. In the excellent “Practical Deep Learning for coders” course, Jeremy Howard advises getting rid of underfitting first. This means you overfit the training data sufficiently, and only then addressing overfitting.
31. Give it time
Maybe your network needs more time to train before it starts making meaningful predictions. If your loss is steadily decreasing, let it train some more.
32. Switch from Train to Test mode
Some frameworks have layers like Batch Norm, Dropout, and other layers behave differently during training and testing. Switching to the appropriate mode might help your network to predict properly.
33. Visualize the training
Monitor the activations, weights, and updates of each layer. Make sure their magnitudes match. For example, the magnitude of the updates to the parameters (weights and biases) should be 1-e3.
Consider a visualization library like Tensorboard and Crayon. In a pinch, you can also print weights/biases/activations.
Be on the lookout for layer activations with a mean much larger than 0. Try Batch Norm or ELUs.
Deeplearning4j points out what to expect in histograms of weights and biases:
“For weights, these histograms should have an approximately Gaussian (normal) distribution, after some time. For biases, these histograms will generally start at 0, and will usually end up being approximately Gaussian (One exception to this is for LSTM). Keep an eye out for parameters that are diverging to +/- infinity. Keep an eye out for biases that become very large. This can sometimes occur in the output layer for classification if the distribution of classes is very imbalanced.”
Check layer updates, they should have a Gaussian distribution.
34. Try a different optimizer
Your choice of optimizer shouldn’t prevent your network from training unless you have selected particularly bad hyperparameters. However, the proper optimizer for a task can be helpful in getting the most training in the shortest amount of time. The paper which describes the algorithm you are using should specify the optimizer. If not, I tend to use Adam or plain SGD with momentum.
Check this excellent post by Sebastian Ruder to learn more about gradient descent optimizers.
35. Exploding / Vanishing gradients
Check layer updates, as very large values can indicate exploding gradients. Gradient clipping may help.
Check layer activations. From Deeplearning4j comes a great guideline: “A good standard deviation for the activations is on the order of 0.5 to 2.0. Significantly outside of this range may indicate vanishing or exploding activations.”
36. Increase/Decrease Learning Rate
A low learning rate will cause your model to converge very slowly.
A high learning rate will quickly decrease the loss in the beginning but might have a hard time finding a good solution.
Play around with your current learning rate by multiplying it by 0.1 or 10.
37. Overcoming NaNs
Getting a NaN (Non-a-Number) is a much bigger issue when training RNNs (from what I hear). Some approaches to fix it:
Decrease the learning rate, especially if you are getting NaNs in the first 100 iterations.
NaNs can arise from division by zero or natural log of zero or negative number.
Russell Stewart has great pointers on how to deal with NaNs.
Try evaluating your network layer by layer and see where the NaNs appear.

Machine Learning Steps

Typical big data jobs include programming, resource provisioning, handling growing scale, reliability, deployment & configuration, utilization improvements, performance tuning, monitoring.

Extracting, loading, transformating, cleaning and validating data for use in analytics
Designing pipelines and architectures form data processing
Creating and maintaining machine learning and statistical models
Querying datasets, visualizing query results and creating reports

Sample
- partitioning of data sets (into train, test, and validate data sets)
- random sampling

Explore
- Data visualization
- Clustering, Associations

Modify
- Variable Selection
- Data transformation
- Data imputation

Outlier detection
 residual analysis for outlier detection

https://towardsdatascience.com/a-bunch-of-tips-and-tricks-for-training-deep-neural-networks-3ca24c31ddc8

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