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What is ksvm in r?

ksvm can be used for classification , for regression, or for novelty detection. Depending on whether y is a factor or not, the default setting for type is C-svc or eps-svr , respectively, but can be overwritten by setting an explicit value.

What is linear kernel?

Linear Kernel is used when the data is Linearly separable, that is, it can be separated using a single Line. It is one of the most common kernels to be used. It is mostly used when there are a Large number of Features in a particular Data Set.

What is the type of SVM learning?

A support vector machine (SVM) is a supervised machine learning model that uses classification algorithms for two-group classification problems. After giving an SVM model sets of labeled training data for each category, they’re able to categorize new text.

What is Library e1071 in R?

e1071 is a package for R programming that provides functions for statistic and probabilistic algorithms like a fuzzy classifier, naive Bayes classifier, bagged clustering, short-time Fourier transform, support vector machine, etc.. When it comes to SVM, there are many packages available in R to implement it.

Is RBF same as Gaussian?

The only difference between the two models is the K in the regularisation term. The key theoretical advantage of the kernel approach is that it allows you to interpret a non-linear model as a linear model following a fixed non-linear transformation that doesn’t depend on the sample of data.

How does kernel trick work?

The “trick” is that kernel methods represent the data only through a set of pairwise similarity comparisons between the original data observations x (with the original coordinates in the lower dimensional space), instead of explicitly applying the transformations ϕ(x) and representing the data by these transformed …

How do you know if data is linearly separable?

The recipe to check for linear separability is:
  1. Instantiate a SVM with a big C hyperparameter (use sklearn for ease).
  2. Train the model with your data.
  3. Classify the train set with your newly trained SVM.
  4. If you get 100% accuracy on classification, congratulations! Your data is linearly separable.

Are SVMs still used?

Popularity of these methods. It is true that SVMs are not so popular as they used to be: this can be checked by googling for research papers or implementations for SVMs vs Random Forests or Deep Learning methods. Still, they are useful in some practical settings, specially in the linear case.

How do you find the support vector?

According to the SVM algorithm we find the points closest to the line from both the classes. These points are called support vectors. Now, we compute the distance between the line and the support vectors. This distance is called the margin.

How do support vector machines work?

SVM works by mapping data to a high-dimensional feature space so that data points can be categorized, even when the data are not otherwise linearly separable. A separator between the categories is found, then the data are transformed in such a way that the separator could be drawn as a hyperplane.

What is Kernlab?

kernlab is an extensible package for kernel-based machine learning methods in R. It takes advantage of R’s new S4 object model and provides a framework for creating and using kernel- based algorithms.

What is a SVM kernel?

A kernel is a function used in SVM for helping to solve problems. They provide shortcuts to avoid complex calculations. The amazing thing about kernel is that we can go to higher dimensions and perform smooth calculations with the help of it. We can go up to an infinite number of dimensions using kernels.


Support Vector Machines (SVM) Overview and Demo using R
Support Vector Machines (SVM) Overview and Demo using R


ksvm function – RDocumentation

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    Support Vector Machines are an excellent tool for classification,
    novelty detection, and regression. ksvm supports the
    well known C-svc, nu-svc, (classification) one-class-svc (novelty)
    eps-svr, nu-svr (regression) formulations along with
    native multi-class classification formulations and
    the bound-constraint SVM formulations.
    ksvm also supports class-probabilities output and
    confidence intervals for regression.

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Description

Usage

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Value

Details

References

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Examples

ksvm function - RDocumentation
ksvm function – RDocumentation

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Creating linear kernel SVM in Python – GeeksforGeeks

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Creating linear kernel SVM in Python - GeeksforGeeks
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Support Vector Machines (SVM) Algorithm Explained

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What is Support Vector Machines

How Does SVM Work

Using SVM with Natural Language Classification

Simple SVM Classifier Tutorial

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r – Could not find function “ksvm” – Stack Overflow

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r – Could not find function “ksvm” – Stack Overflow

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  • Summary of article content: Articles about r – Could not find function “ksvm” – Stack Overflow Learn how manipulate a SVM in R with the package kernlab … 1 LINEAR SVM. # Use the built-in function to pretty-plot the ifier. …
  • Most searched keywords: Whether you are looking for r – Could not find function “ksvm” – Stack Overflow Learn how manipulate a SVM in R with the package kernlab … 1 LINEAR SVM. # Use the built-in function to pretty-plot the ifier.
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r – Could not find function “ksvm” – Stack Overflow

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RPubs – Tutorial on Support Vector Machines (for Concrete Strength)

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ksvm-class: Class “ksvm” in kernlab: Kernel-Based Machine Learning Lab

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RDocumentation

ksvm uses John Platt’s SMO algorithm for solving the SVM QP problem an most SVM formulations. On the spoc-svc , kbb-svc , C-bsvc and eps-bsvr formulations a chunking algorithm based on the TRON QP solver is used. For multiclass-classification with \(k\) classes, \(k > 2\), ksvm uses the `one-against-one’-approach, in which \(k(k-1)/2\) binary classifiers are trained; the appropriate class is found by a voting scheme, The spoc-svc and the kbb-svc formulations deal with the multiclass-classification problems by solving a single quadratic problem involving all the classes. If the predictor variables include factors, the formula interface must be used to get a correct model matrix. In classification when prob.model is TRUE a 3-fold cross validation is performed on the data and a sigmoid function is fitted on the resulting decision values \(f\). The data can be passed to the ksvm function in a matrix or a data.frame , in addition ksvm also supports input in the form of a kernel matrix of class kernelMatrix or as a list of character vectors where a string kernel has to be used. The plot function for binary classification ksvm objects displays a contour plot of the decision values with the corresponding support vectors highlighted. The predict function can return class probabilities for classification problems by setting the type parameter to “probabilities”. The problem of model selection is partially addressed by an empirical observation for the RBF kernels (Gaussian , Laplace) where the optimal values of the \(sigma\) width parameter are shown to lie in between the 0.1 and 0.9 quantile of the \(\|x- x’\|\) statistics. When using an RBF kernel and setting kpar to “automatic”, ksvm uses the sigest function to estimate the quantiles and uses the median of the values.

Creating linear kernel SVM in Python

Prerequisite: SVM

Let’s create a Linear Kernel SVM using the sklearn library of Python and the Iris Dataset that can be found in the dataset library of Python.

Linear Kernel is used when the data is Linearly separable, that is, it can be separated using a single Line. It is one of the most common kernels to be used. It is mostly used when there are a Large number of Features in a particular Data Set. One of the examples where there are a lot of features, is Text Classification, as each alphabet is a new feature. So we mostly use Linear Kernel in Text Classification.

Note: Internet Connection must be stable while running the below code because it involves downloading data.

In the above image, there are two set of features “Blue” features and the “Yellow” Features. Since these can be easily separated or in other words, they are linearly separable, so the Linear Kernel can be used here.

Advantages of using Linear Kernel:

1. Training a SVM with a Linear Kernel is Faster than with any other Kernel.

2. When training a SVM with a Linear Kernel, only the optimisation of the C Regularisation parameter is required. On the other hand, when training with other kernels, there is a need to optimise the γ parameter which means that performing a grid search will usually take more time.

import numpy as np import matplotlib.pyplot as plt from sklearn import svm, datasets iris = datasets.load_iris() X = iris.data[:, : 2 ] y = iris.target C = 1.0 svc = svm.SVC(kernel = ‘linear’ , C = 1 ).fit(X, y) x_min, x_max = X[:, 0 ]. min () – 1 , X[:, 0 ]. max () + 1 y_min, y_max = X[:, 1 ]. min () – 1 , X[:, 1 ]. max () + 1 h = (x_max / x_min) / 100 xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h)) plt.subplot( 1 , 1 , 1 ) Z = svc.predict(np.c_[xx.ravel(), yy.ravel()]) Z = Z.reshape(xx.shape) plt.contourf(xx, yy, Z, cmap = plt.cm.Paired, alpha = 0.8 ) plt.scatter(X[:, 0 ], X[:, 1 ], c = y, cmap = plt.cm.Paired) plt.xlabel( ‘Sepal length’ ) plt.ylabel( ‘Sepal width’ ) plt.xlim(xx. min (), xx. max ()) plt.title( ‘SVC with linear kernel’ ) plt.show()

Output:

Here all the features are separated using simple lines, thus representing the Linear Kernel.

Support Vector Machines (SVM) Algorithm Explained

So you’re working on a text classification problem. You’re refining your training data, and maybe you’ve even experimented with Naive Bayes. You’re feeling confident in your dataset, and want to take it one step further.

Enter Support Vector Machines (SVM), a fast and dependable classification algorithm that performs very well with a limited amount of data to analyze.

Perhaps you have dug a bit deeper, and ran into terms like linearly separable, kernel trick and kernel functions. But fear not! The idea behind the SVM algorithm is simple, and applying it to NLP doesn’t require most of the complicated stuff.

In this guide, you’ll learn the basics of SVM, and how to use it for text classification. Finally, you’ll see how easy it is to get started with a code-free tool like MonkeyLearn.

Start classifying your text with SVM TRY NOW

What is Support Vector Machines?

A support vector machine (SVM) is a supervised machine learning model that uses classification algorithms for two-group classification problems. After giving an SVM model sets of labeled training data for each category, they’re able to categorize new text.

Compared to newer algorithms like neural networks, they have two main advantages: higher speed and better performance with a limited number of samples (in the thousands). This makes the algorithm very suitable for text classification problems, where it’s common to have access to a dataset of at most a couple of thousands of tagged samples.

How Does SVM Work?

The basics of Support Vector Machines and how it works are best understood with a simple example. Let’s imagine we have two tags: red and blue, and our data has two features: x and y. We want a classifier that, given a pair of (x,y) coordinates, outputs if it’s either red or blue. We plot our already labeled training data on a plane:

A support vector machine takes these data points and outputs the hyperplane (which in two dimensions it’s simply a line) that best separates the tags. This line is the decision boundary: anything that falls to one side of it we will classify as blue, and anything that falls to the other as red.

But, what exactly is the best hyperplane? For SVM, it’s the one that maximizes the margins from both tags. In other words: the hyperplane (remember it’s a line in this case) whose distance to the nearest element of each tag is the largest.

You can check out this video tutorial to learn exactly how this optimal hyperplane is found.

Nonlinear data

Now this example was easy, since clearly the data was linearly separable — we could draw a straight line to separate red and blue. Sadly, usually things aren’t that simple. Take a look at this case:

It’s pretty clear that there’s not a linear decision boundary (a single straight line that separates both tags). However, the vectors are very clearly segregated and it looks as though it should be easy to separate them.

So here’s what we’ll do: we will add a third dimension. Up until now we had two dimensions: x and y. We create a new z dimension, and we rule that it be calculated a certain way that is convenient for us: z = x² + y² (you’ll notice that’s the equation for a circle).

This will give us a three-dimensional space. Taking a slice of that space, it looks like this:

What can SVM do with this? Let’s see:

That’s great! Note that since we are in three dimensions now, the hyperplane is a plane parallel to the x axis at a certain z (let’s say z = 1).

What’s left is mapping it back to two dimensions:

And there we go! Our decision boundary is a circumference of radius 1, which separates both tags using SVM. Check out this 3d visualization to see another example of the same effect:

The kernel trick

In our example we found a way to classify nonlinear data by cleverly mapping our space to a higher dimension. However, it turns out that calculating this transformation can get pretty computationally expensive: there can be a lot of new dimensions, each one of them possibly involving a complicated calculation. Doing this for every vector in the dataset can be a lot of work, so it’d be great if we could find a cheaper solution.

And we’re in luck! Here’s a trick: SVM doesn’t need the actual vectors to work its magic, it actually can get by only with the dot products between them. This means that we can sidestep the expensive calculations of the new dimensions.

This is what we do instead:

Imagine the new space we want: z = x² + y²

Figure out what the dot product in that space looks like: a · b = xa · xb + ya · yb + za · zb a · b = xa · xb + ya · yb + (xa² + ya²) · (xb² + yb²)

Tell SVM to do its thing, but using the new dot product — we call this a kernel function.

That’s it! That’s the kernel trick, which allows us to sidestep a lot of expensive calculations. Normally, the kernel is linear, and we get a linear classifier. However, by using a nonlinear kernel (like above) we can get a nonlinear classifier without transforming the data at all: we only change the dot product to that of the space that we want and SVM will happily chug along.

Note that the kernel trick isn’t actually part of SVM. It can be used with other linear classifiers such as logistic regression. A support vector machine only takes care of finding the decision boundary.

Using SVM with Natural Language Classification

So, we can classify vectors in multidimensional space. Great! Now, we want to apply this algorithm for text classification, and the first thing we need is a way to transform a piece of text into a vector of numbers so we can run SVM with them. In other words, which features do we have to use in order to classify texts using SVM?

The most common answer is word frequencies, just like we did in Naive Bayes. This means that we treat a text as a bag of words, and for every word that appears in that bag we have a feature. The value of that feature will be how frequent that word is in the text.

This method boils down to just counting how many times every word appears in a text and dividing it by the total number of words. So in the sentence “All monkeys are primates but not all primates are monkeys” the word monkeys has a frequency of 2/10 = 0.2, and the word but has a frequency of 1/10 = 0.1 .

For a more advanced alternative for calculating frequencies, we can also use TF-IDF.

Now that we’ve done that, every text in our dataset is represented as a vector with thousands (or tens of thousands) of dimensions, every one representing the frequency of one of the words of the text. Perfect! This is what we feed to SVM for training. We can improve this by using preprocessing techniques, like stemming, removing stopwords, and using n-grams.

Choosing a kernel function

Now that we have the feature vectors, the only thing left to do is choosing a kernel function for our model. Every problem is different, and the kernel function depends on what the data looks like. In our example, our data was arranged in concentric circles, so we chose a kernel that matched those data points.

Taking that into account, what’s best for natural language processing? Do we need a nonlinear classifier? Or is the data linearly separable? It turns out that it’s best to stick to a linear kernel. Why?

Back in our example, we had two features. Some real uses of SVM in other fields may use tens or even hundreds of features. Meanwhile, NLP classifiers use thousands of features, since they can have up to one for every word that appears in the training data. This changes the problem a little bit: while using nonlinear kernels may be a good idea in other cases, having this many features will end up making nonlinear kernels overfit the data. Therefore, it’s best to just stick to a good old linear kernel, which actually results in the best performance in these cases.

Putting it all together

Now the only thing left to do is training! We have to take our set of labeled texts, convert them to vectors using word frequencies, and feed them to the algorithm — which will use our chosen kernel function — so it produces a model. Then, when we have a new unlabeled text that we want to classify, we convert it into a vector and give it to the model, which will output the tag of the text.

Simple SVM Classifier Tutorial

To create your own SVM classifier, without dabbling in vectors, kernels, and TF-IDF, you can use one of MonkeyLearn’s pre-built classification models to get started right away. It’s also easy to create your own, thanks to the platform’s super intuitive user interface and no-code approach.

It’s also great for those who don’t want to invest large amounts of capital in hiring machine learning experts.

Let’s show you how easy it is to create your SVM classifier in 8 simple steps. Before you get started, you’ll need to sign up to MonkeyLearn for free.

1. Create a new classifier

Go to the dashboard, click on “Create a Model” and choose “Classifier”.

2. Select how you want to classify your data

We’re going to opt for a “Topic Classification” model to classify text based on topic, aspect or relevance.

3. Import your training data

Select and upload the data that you will use to train your model. Keep in mind that classifiers learn and get smarter as you feed it more training data. You can import data from CSV or Excel files.

4. Define the tags for your SVM classifier

It’s time to define your tags, which you’ll use to train your topic classifier. Add at least two tags to get started – you can always add more tags later.

5. Tag data to train your classifier

Start training your topic classifier by choosing tags for each example:

After manually tagging some examples, the classifier will start making predictions on its own. If you want your model to be more accurate, you’ll have to tag more examples to continue training your model.

The more data you tag, the smarter your model will be.

6. Set your algorithm to SVM

Go to settings and make sure you select the SVM algorithm in the advanced section.

7. Test Your Classifier

Now you can test your SVM classifier by clicking on “Run” > “Demo”. Write your own text and see how your model classifies the new data:

8. Integrate the topic classifier

You’ve trained your model to make accurate predictions when classifying text. Now it’s time to upload new data! There are three different ways to do this with MonkeyLearn:

Batch processing: go to “Run” > “Batch” and upload a CSV or Excel file. The classifier will analyze your data and send you a new file with the predictions. API: use MonkeyLearn API to classify new data from anywhere. Integrations: connect everyday apps to automatically import new text data into your classifier. Integrations such as Google Sheets, Zapier, and Zendesk can be used without having to type a single line of code:

Final words

And that’s the basics of Support Vector Machines!

To sum up:

A support vector machine allows you to classify data that’s linearly separable.

If it isn’t linearly separable, you can use the kernel trick to make it work.

However, for text classification it’s better to just stick to a linear kernel.

With MLaaS tools like MonkeyLearn, it’s extremely simple to implement SVM for text classification and get insights right away.

Create your own SVM classifier SIGN UP FREE

Have questions? Schedule a demo and we’ll help you get started.

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