Questions tagged [linearly-separable]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
1
vote
1answer
36 views

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 ...
0
votes
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 ...
1
vote
1answer
54 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 ...
0
votes
0answers
8 views

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. ...
0
votes
0answers
59 views

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 ...
1
vote
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 ...
2
votes
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 ...
2
votes
1answer
245 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 ...