# Questions tagged [linearly-separable]

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### Can this dataset be separated linearly?

Is this dataset linearly separable? If not, can it be converted into one by applying some function as it seems to follow the same pattern? Also, which classification algorithms could be used to fit ...
1answer
55 views

### Decision boundary in a classification task

I have 1000 data points from the bivariate normal distribution $\mathcal{N}$ with mean $(0,0)$ and variance $\sigma_1^2=\sigma_2^2=10$ with the covariances being $0$. Also there are 20 more points ...
0answers
19 views

### Choosing a learning rate interval for linear separation with a perceptron

I'm having an issue with an exercise regarding the use of a perceptron for the linear separation of two sets M0 and M1. The question at hand is, how to go about finding an interval for a reliable ...
2answers
62 views

### Kernel selections in SVM

I want to understand the kernel selection rationale in SVM. Some basic things that I understand is if data is linear, then we must go for linear kernel and if it is non-linear, then others. But the ...
0answers
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### Why does the error function become constant while implementing stochastic gradient descent using 2D inputs?

According to Q8,9 of HW5, Caltech's Learning from data course, we have to generate 100 test points of the form (x1,x2) and get their outputs 1/0 depending on which side of a random line they lie on. ...
0answers
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### questions about logistic regression

In the following Linear Regression discussion I didn't understand a few things: So my questions are: In the third slide: What does this probability means $P\left(y_i|x_i\right)$ and accordingly what ...
2answers
55 views

### PCA vs.KernelPCA: which one to use for high dimensional data?

I have a dataset which contains a lot of features (>>3). For computational reasons, I would like to apply a dimensionality reduction. At this point I could use different techniques: standard PCA ...
1answer
248 views

### Is a data set considered to be linearly separable if it can only be separated by multiple hyperplanes?

For example, on the linear separability Wikipedia article, the following example is given: They say "The following example would need two straight lines and thus is not linearly separable". On the ...