Questions tagged [linearly-separable]

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Logistic Regression-Linearity between dependent & independent variables

Log of odds of the response variable being 1 has a linear relationship with the predictor variables. Hence, the log of odds is equal to the equation of a linear line. Is there any way to check the ...
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Visualizing the equation for separating hyperplane

I was wondering if I can visualize with the example the fact that for all points $x$ on the separating hyperplane, the following equation holds true: $$w^T.x+w_0=0\quad\quad\quad \text{... equation (1)...
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Does linear classifier creates linear decision boundary in the input feature space?

I read a lot , but still not able to get the following concepts -: (1) If a classifier is given, how do we know whether its a linear or non linear classifier? (Interested in step by step procedure to ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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