I have read this line about neural networks :
"Although the perceptron rule finds a successful weight vector when
the training examples are linearly separable, it can fail to converge
if the examples are not linearly separable.
My data distribution is like this :The features are production of rubber ,consumption of rubber , production of synthetic rubber and exchange rate all values are scaled
My question is that the data is not linearly separable so should i apply ANN on it or not? is this a rule that it should be applied on linerly separable data only ? as i am getting good results using it (0.09% MAPE error) . I have also applied SVM regression (fitrsvm function in MATLAB)so I have to ask can SVM be used in forecasting /prediction or it is used only for classification I haven't read anywhere about using SVM to forecast , and the results for SVM are also not good what can be the possible reason?
Neural networks are not perceptrons. Perceptron is on of the oldest ideas, which is at most a single building block of neural networks. Perceptron is designed for binary, linear classification and your problem is neither the binary classification nor linearly separable. You are looking at regression here, where neural networks are a good fit.
can SVM be used in forecasting /prediction or it is used only for classification I haven't read anywhere about using SVM to forecast , and the results for SVM are also not good what can be the possible reason?
SVM has regression "clone" called SVR which can be used for any task NN (as a regressor) can be used. There are of course some typical characteristics of both (like SVR being non parametric estimator etc.). For the task at hand - both approaches (as well as any another regressor, there are dozens of them!) is fine.
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I am reading a lot of articles about neural networks and I found very different information. I understand that the supervised neural network can be also regression and classification. In both cases I can use the sigmoid function but what is the difference?
A single-layer neural network is essentially the same thing as linear regression. That's because of how neural networks work: Each input gets weighted with a weight factor to produce an output, and the weight factors are iteratively chosen in such a way that the error (the discrepancy between the outputs produced by the model and the correct output that should be produced for a given input) is minimised. Linear regression does the same thing. But in a neural network, you can stack several of such layers on top of each other.
Classification is a potential, but by far not the only, use case for neural networks. Conversely, there are classification algorithms that don't use neural networks (e.g. K-nearest neighbours). The sigmoid function is often used as an activation function for the last layer in a classifier neural network.
I am trying to solve a regression problem by comparing different machine learning algorithms. So far i have tried Linear Regression) (accuracy: 0.88) and SVM ( Accuarcy : 0.84). Now i am trying to neural network for the same problem but i am getting a very low accuracy ( around 1 Percent!) I cant seem to figure out if i am using the same data, then why am i getting such low acccuracy using the neural network?
I have tried using different number of neurons but nothing seems to work. Here is the neural network that i am using Neural Network
I expect the accuracy to be somewhere near to SVM and linear regression but it does not seem to work. My labels look like this labels
My features look like this. features.Here is the output of the neural network Neural Network Output
Looks like you are doing a regression task on your data, accuracy is a classification metric and can only be used for classification, not regression, so your results are meaningless and you cannot compare regressors using accuracy.
Just use another metric like mean squared error or mean absolute error.
I have a train dataset and a test dataset, and I train a SVM with fitcsvm in MATLAB. Then, I proceed to test the trained model with predict. I'm always using the same datasets, but I keep getting different AUCs for the same model, which makes me wonder where in the process is there a random component. Note that
I'm aware of the fact that formally there isn't such thing as ROC curve or AUC and
I'm not asking for the statistical background of the SVM problem. It is relative to the matlab implementation of the training/test algorithm. I expected to have the same results because the training algorithm is, afaik, a deterministic process.
I just want to know if a neural network can be trained with a single class of data set. I have a set of data that I want to train a neural network with. After training it, I want to give new data(for testing) to the trained neural network to check if it can recognize it as been similar to the training sample or not.
Is this possible with neural network? If yes, will that be a supervised learning or unsupervised.
I know neural networks can be used for classification if there are multiple classes but I have not seen with a single class before. A good explanation and link to any example will be much appreciated. Thanks
Of course it can be. But in this case it will only recognize this one class that you have trained it with. And depending on the expected output you can measure the similarity to the training data.
An NN, after training, is just a function. For classification problems you can imagine it as a function that takes data as input and returns an integer indicating to which class it belongs to. That being said, if you have only one class that can be represented by an integer value 1, and if training data is not similar to that class, you will get something like 1.555; It will not tel you that it belongs to another class, because you have introduced only one, but it will definitely give you a hint about its similarity.
NNs are considered to be supervised learning, because before training you have to provide both input and target, i. e. the expected output.
If you train a network with only a single class of data then It is popularly known as One-class Classification. There are various algorithms developed in the past like One-class SVM, Support Vector Data Description, OCKELM etc. Tax and Duin developed a MATLAB toolbox for this and it supports various one-class classifiers.
DD Toolbox
One-class SVM
Kernel Ridge Regression based or Kernelized ELM based or LSSVM(where bias=0) based One-class Classification
There is a paper Anomaly Detection Using One-Class Neural Networks
which combines One-Class SVM and Neural Networks.
Here is source code. However, I've had difficulty connecting the source code and the paper.
Recently, I am trying to using Matlab build-in neural networks toolbox to accomplish my classification problem. However, I have some questions about the parameter settings.
a. The number of neurons in the hidden layer:
The example on this page Matlab neural networks classification example shows a two-layer (i.e. one-hidden-layer and one-output-layer) feed forward neural networks. In this example, it uses 10 neurons in the hidden layer
net = patternnet(10);
My first question is how to define the best number of neurons for my classification problem? Should I use cross-validation method to get the best performed number of neurons using a training data set?
b. Is there a method to choose three-layer or more multi-layer neural networks?
c. There are many different training method we can use in the neural networks toolbox. A list can be found at Training methods list. The page mentioned that the fastest training function is generally 'trainlm'; however, generally speaking, which one will perform best? Or it totally depends on the data set I am using?
d. In each training method, there is a parameter called 'epochs', which is the training iteration for my understanding. For each training method, Matlab defined the maximum number of epochs to train. However, from the example, it seems like 'epochs' is another parameter we can tune. Am I right? Or we just set the maximum number of epochs or leave it as default?
Any experience with Matlab neural networks toolbox is welcome and thanks very much for your reply. A.
a. You can refer to How to choose number of hidden layers and nodes in neural network? and ftp://ftp.sas.com/pub/neural/FAQ3.html#A_hu
Surely you can do cross-validation to determine the parameter of best number of neurons. But it's not recommended as it's more suitable to use it in the stage of weights training of a certain network.
b. Refer to ftp://ftp.sas.com/pub/neural/FAQ3.html#A_hl
And for more layers of neural network, you can refer to Deep Learning, which is very hot in recent years and gets state-of-the-art performances in many of the pattern recognition tasks.
c. It depends on your data. trainlm performs better on function fitting (nonlinear regression) problems than on pattern recognition problems while training large networks and pattern recognition networks, trainscg and trainrp are good choices. Generally, Gradient Descent and Resilient Backpropagation is recommended. More detailed comparison can be found here: http://www.mathworks.cn/cn/help/nnet/ug/choose-a-multilayer-neural-network-training-function.html
d. Yes, you're right. We can tune the epochs parameter. Generally you can output the recognition results/accuracy at every epoch and you will see that it is promoting more and more slowly, and the more epochs the more computing time. You can make a compromise between the accuracy and computation time.
For part b of your question:
You can use like this code:
net = patternnet([10 15 20]);
This script create a network with 3 hidden layer that first layer has 10 neurons, second layer has 15 neurons and 3th layer has 20 neurons.