When dealing with ill-conditioned neural networks, is the current state of the art to use an adaptive learning rate, some very sophisticated algorithm to deal with the problem, or to eliminate the ill conditioning by preprocessing/scaling of the data?
The problem can be illustrated with the simplest of scenarios: one input and one output where the function to be learned is y=x/1000, so a single weight whose value needs to be 0.001. One data point (0,0). It turns out to matter a great deal, if you are using gradient descent, whether the second data point is (1000,1) or (1,0.001).
Theoretical discussion of the problem, with expanded examples.
Example in TensorFlow
Of course, straight gradient descent is not the only available algorithm. Other possibilities are discussed at here - however, as that article observes, the alternative algorithms it lists that are good at handling ill condition, are not so good when it comes time to handle a large number of weights.
Are new algorithms available? Yes, but these aren't clearly advertised as solutions for this problem, are perhaps intended to solve a different set of problems; swapping in Adagrad in place of GradientDescent does prevent overshoot, but still converges very slowly.
At one time, there were some efforts to develop heuristics to adaptively tweak the learning rate, but then instead of being just a number, the learning rate hyperparameter is a function, much harder to get right.
So these days, is the state of the art to use a more sophisticated algorithm to deal with ill condition, or to just preprocess/scale the data to avoid the problem in the first place?
I am using FCN (Fully Convolutional Networks) and trying to do image segmentation. When training, there are some areas which are mislabeled, however further training doesn't help much to make them go away. I believe this is because network learns about some features which might not be completely correct ones, but because there are enough correctly classified examples, it is stuck in local minimum and can't get out.
One solution I can think of is to train for an epoch, then validate the network on training images, and then adjust weights for mismatched parts to penalize mismatch more there in next epoch.
Intuitively, this makes sense to me - but I haven't found any writing on this. Is this a known technique? If yes, how is it called? If no, what am I missing (what are the downsides)?
It highly depends on your network structure. If you are using the original FCN, due to the pooling operations, the segmentation performance on the boundary of your objects is degraded. There have been quite some variants over the original FCN for image segmentation, although they didn't go the route you're proposing.
Just name a couple of examples here. One approach is to use Conditional Random Field (CRF) on top of the FCN output to refine the segmentation. You may search for the relevant papers to get more idea on that. In some sense, it is close to your idea but the difference is that CRF is separated from the network as a post-processing approach.
Another very interesting work is U-net. It employs some idea from the residual network (RES-net), which enables high resolution features from lower levels can be integrated into high levels to achieve more accurate segmentation.
This is still a very active research area. So you may bring the next break-through with your own idea. Who knows! Have fun!
First, if I understand well you want your network to overfit your training set ? Because that's generally something you don't want to see happening, because this would mean that while training your network have found some "rules" that enables it to have great results on your training set, but it also means that it hasn't been able to generalize so when you'll give it new samples it will probably perform poorly. Moreover, you never talk about any testing set .. have you divided your dataset in training/testing set ?
Secondly, to give you something to look into, the idea of penalizing more where you don't perform well made me think of something that is called "AdaBoost" (It might be unrelated). This short video might help you understand what it is :
https://www.youtube.com/watch?v=sjtSo-YWCjc
Hope it helps
I'm trying to do a binary classification task on a set of sentences which are so similar to each other. My problem is I'm not sure how to deal with this problem with such similarity between samples. Here are some of my questions:
(1). Which classification technique will be more suitable in this case?
(2). Will feature selection help in this case?
(3). Could sequence classification algorithms, based on recurrent neural network (LSTM) be a potential approach to follow?
I'll be glad to see any hint or help regarding to this problem, thank you!
(only a potential Answer to 3)
Assuming you only have to classify if they are in a certain category you wouldn't want to use RNN's unless you actually want it to make something new out of it (sequence-to-sequence)
That said it is possible to classify it if you end it with a sequence-flattener and a fully-connected-Layer
I am somewhat of an amateur farmer and I have a precious cherry tomato plant growing in a pot. Lately, to my chagrin, I have discovered that my precious plant has been the victim of a scheme perpetrated by the evil Manduca Quinquemaculata - also known as the Tomato Hornworm (http://insects.tamu.edu/images/insects/common/images/cd-43-c-txt/cimg308.html).
While smashing the last worm I saw, I thought to myself, if I were to use a webcam connected to my computer with a program running, would it be possible to use some kind of an application to monitor my precious plant? These pests are supremely camouflaged and very difficult for my naive eyes to detect.
I've seen research using artificial neural networks (ANNs) for all sorts of things such as recognizing people's faces, etc., and so maybe it would be possible to locate the pest with an ANN.
I have several questions though that I would like some suggestions though.
1) Is there a ranking of the different ANNs in terms of how good they are at classifying? Are multilayer perceptrons known to be better than Hopfields? Or is this a question to which the answer is unknown?
2) Why do there exist several different activation functions that can be used in ANNs? Sigmoids, hyperbolic tangents, step functions, etc. How would one know which function to choose?
3) If I had an image of a plant w/ a worm on one of the branches, I think that I could train a neural network to look for branches that are thin, get fat for a short period, and then get thin again. I have a problem though with branches crossing all over the place. Is there a preprocessing step that could be applied on an image to distinguish between foreground and background elements? I would want to isolate individual branches to run through the network one at a time. Is there some kind of nice transformation algorithm?
Any good pointers on pattern recognition and image processing such as books or articles would be much appreciated too.
Sincerely,
mj
Tomato Hornworms were harmed during the writing of this email.
A good rule of thumb for machine learning is: better features beat better algorithms. I.e if you feed the raw image pixels directly into your classifier, the results will be poor, no matter what learning algorithm you use. If you preprocess the image and extract features that are highly correlated with "caterpillar presence", then most algorithms will do a decent job.
So don't focus on the network topology, start with the computer vision task.
Do these little suckers move around regularly? If so, and if the plant is quite static (meaning no wind or other forces that make it move), then a simple filter to find movement could be sufficient. That would bypass the need of any learning algorithm, which are often quite difficult to train and implement.
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I am wanting some expert guidance here on what the best approach is for me to solve a problem. I have investigated some machine learning, neural networks, and stuff like that. I've investigated weka, some sort of baesian solution.. R.. several different things. I'm not sure how to really proceed, though. Here's my problem.
I have, or will have, a large collection of events.. eventually around 100,000 or so. Each event consists of several (30-50) independent variables, and 1 dependent variable that I care about. Some independent variables are more important than others in determining the dependent variable's value. And, these events are time relevant. Things that occur today are more important than events that occurred 10 years ago.
I'd like to be able to feed some sort of learning engine an event, and have it predict the dependent variable. Then, knowing the real answer for the dependent variable for this event (and all the events that have come along before), I'd like for that to train subsequent guesses.
Once I have an idea of what programming direction to go, I can do the research and figure out how to turn my idea into code. But my background is in parallel programming and not stuff like this, so I'd love to have some suggestions and guidance on this.
Thanks!
Edit: Here's a bit more detail about the problem that I'm trying to solve: It's a pricing problem. Let's say that I'm wanting to predict prices for a random comic book. Price is the only thing I care about. But there are lots of independent variables one could come up with. Is it a Superman comic, or a Hello Kitty comic. How old is it? What's the condition? etc etc. After training for a while, I want to be able to give it information about a comic book I might be considering, and have it give me a reasonable expected value for the comic book. OK. So comic books might be a bogus example. But you get the general idea. So far, from the answers, I'm doing some research on Support vector machines and Naive Bayes. Thanks for all of your help so far.
Sounds like you're a candidate for Support Vector Machines.
Go get libsvm. Read "A practical guide to SVM classification", which they distribute, and is short.
Basically, you're going to take your events, and format them like:
dv1 1:iv1_1 2:iv1_2 3:iv1_3 4:iv1_4 ...
dv2 1:iv2_1 2:iv2_2 3:iv2_3 4:iv2_4 ...
run it through their svm-scale utility, and then use their grid.py script to search for appropriate kernel parameters. The learning algorithm should be able to figure out differing importance of variables, though you might be able to weight things as well. If you think time will be useful, just add time as another independent variable (feature) for the training algorithm to use.
If libsvm can't quite get the accuracy you'd like, consider stepping up to SVMlight. Only ever so slightly harder to deal with, and a lot more options.
Bishop's Pattern Recognition and Machine Learning is probably the first textbook to look to for details on what libsvm and SVMlight are actually doing with your data.
If you have some classified data - a bunch of sample problems paired with their correct answers -, start by training some simple algorithms like K-Nearest-Neighbor and Perceptron and seeing if anything meaningful comes out of it. Don't bother trying to solve it optimally until you know if you can solve it simply or at all.
If you don't have any classified data, or not very much of it, start researching unsupervised learning algorithms.
It sounds like any kind of classifier should work for this problem: find the best class (your dependent variable) for an instance (your events). A simple starting point might be Naive Bayes classification.
This is definitely a machine learning problem. Weka is an excellent choice if you know Java and want a nice GPL lib where all you have to do is select the classifier and write some glue. R is probably not going to cut it for that many instances (events, as you termed it) because it's pretty slow. Furthermore, in R you still need to find or write machine learning libs, though this should be easy given that it's a statistical language.
If you believe that your features (independent variables) are conditionally independent (meaning, independent given the dependent variable), naive Bayes is the perfect classifier, as it is fast, interpretable, accurate and easy to implement. However, with 100,000 instances and only 30-50 features you can likely implement a fairly complex classification scheme that captures a lot of the dependency structure in your data. Your best bet would probably be a support vector machine (SMO in Weka) or a random forest (Yes, it's a silly name, but it helped random forest catch on.) If you want the advantage of easy interpretability of your classifier even at the expense of some accuracy, maybe a straight up J48 decision tree would work. I'd recommend against neural nets, as they're really slow and don't usually work any better in practice than SVMs and random forest.
The book Programming Collective Intelligence has a worked example with source code of a price predictor for laptops which would probably be a good starting point for you.
SVM's are often the best classifier available. It all depends on your problem and your data. For some problems other machine learning algorithms might be better. I have seen problems that neural networks (specifically recurrent neural networks) were better at solving. There is no right answer to this question since it is highly situationally dependent but I agree with dsimcha and Jay that SVM's are the right place to start.
I believe your problem is a regression problem, not a classification problem. The main difference: In classification we are trying to learn the value of a discrete variable, while in regression we are trying to learn the value of a continuous one. The techniques involved may be similar, but the details are different. Linear Regression is what most people try first. There are lots of other regression techniques, if linear regression doesn't do the trick.
You mentioned that you have 30-50 independent variables, and some are more important that the rest. So, assuming that you have historical data (or what we called a training set), you can use PCA (Principal Componenta Analysis) or other dimensionality reduction methods to reduce the number of independent variables. This step is of course optional. Depending on situations, you may get better results by keeping every variables, but add a weight to each one of them based on relevant they are. Here, PCA can help you to compute how "relevant" the variable is.
You also mentioned that events that are occured more recently should be more important. If that's the case, you can weight the recent event higher and the older event lower. Note that the importance of the event doesn't have to grow linearly accoding to time. It may makes more sense if it grow exponentially, so you can play with the numbers here. Or, if you are not lacking of training data, perhaps you can considered dropping off data that are too old.
Like Yuval F said, this does look more like a regression problem rather than a classification problem. Therefore, you can try SVR (Support Vector Regression), which is regression version of SVM (Support Vector Machine).
some other stuff you can try are:
Play around with how you scale the value range of your independent variables. Say, usually [-1...1] or [0...1]. But you can try other ranges to see if they help. Sometimes they do. Most of the time they don't.
If you suspect that there are "hidden" feature vector with a lower dimension, say N << 30 and it's non-linear in nature, you will need non-linear dimensionality reduction. You can read up on kernel PCA or more recently, manifold sculpting.
What you described is a classic classification problem. And in my opinion, why code fresh algorithms at all when you have a tool like Weka around. If I were you, I would run through a list of supervised learning algorithms (I don't completely understand whey people are suggesting unsupervised learning first when this is so clearly a classification problem) using 10-fold (or k-fold) cross validation, which is the default in Weka if I remember, and see what results you get! I would try:
-Neural Nets
-SVMs
-Decision Trees (this one worked really well for me when I was doing a similar problem)
-Boosting with Decision trees/stumps
-Anything else!
Weka makes things so easy and you really can get some useful information. I just took a machine learning class and I did exactly what you're trying to do with the algorithms above, so I know where you're at. For me the boosting with decision stumps worked amazingly well. (BTW, boosting is actually a meta-algorithm and can be applied to most supervised learning algs to usually enhance their results.)
A nice thing aobut using Decision Trees (if you use the ID3 or similar variety) is that it chooses the attributes to split on in order of how well they differientiate the data - in other words, which attributes determine the classification the quickest basically. So you can check out the tree after running the algorithm and see what attribute of a comic book most strongly determines the price - it should be the root of the tree.
Edit: I think Yuval is right, I wasn't paying attention to the problem of discretizing your price value for the classification. However, I don't know if regression is available in Weka, and you can still pretty easily apply classification techniques to this problem. You need to make classes of price values, as in, a number of ranges of prices for the comics, so that you can have a discrete number (like 1 through 10) that represents the price of the comic. Then you can easily run classification it.