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What is a linearly separable problem?

Linearly separable - A problem is defined as "linearly separable" if the solution can be described by a straight line. For example, given a bunch of data points on a graph and a linear regression line through the data points, any individual data point can be classified as above the line or below it. Thus, the data points are linearly separable. If the solutions cannot be delineated by a simple straight line, then they are not linearly separable. The term is important in and especially artificial neural networks. A single can only solve a problem that is linearly separable. A problem that is not linearly separable requires a more complex network.

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