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Separation occurs when some classes of a categorical outcome can be perfectly distinguished by a linear combination of other variables.

14 votes

Do neural networks create a separating hyperplane?

Disclaimer: I assume your question refers to multi-layer perceptrons, used as classifiers. But, if you want to engage in hair splitting, there are other neural network architectures and applications w …
Igor F.'s user avatar
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5 votes
Accepted

Logistic Regression assumption

It is actually exactly the opposite: If the data are linearly separable, logistic regression will not converge: the $\beta$s will rise infinitely as the logistic function approaches, but never reaches …
Igor F.'s user avatar
  • 9,678
7 votes

Are these two 2D datasets the same and can they be separated with the XOR NN?

If, as lcrmorin says in his/her comment, one set is essentially equivalent to the other, only rotated by 45°, then I agree with shimao's answer. It is, however, not that clear from the figures whether …
Igor F.'s user avatar
  • 9,678