Simpler Version:
Linearly separable data refers to a set of data points that can be separated by a straight line or a hyperplane. This means that there exists a linear decision boundary that can classify the data points into different classes with 100% accuracy. Non-linearly separable data, on the other hand, cannot be separated by a straight line or a hyperplane. In such cases, non-linear classification techniques are used to classify the data points.
Same Version:
Linearly separable data can be separated by a straight line or a hyperplane, while non-linearly separable data cannot be separated by a straight line or a hyperplane. In such cases, non-linear classification techniques such as kernel methods, decision trees, and neural networks are used to classify the data points.
More Complex Version:
Linearly separable data refers to a set of data points that can be separated by a straight line or a hyperplane in a multi-dimensional space. This means that there exists a linear decision boundary that can classify the data points into different classes with 100% accuracy. Non-linearly separable data, on the other hand, refers to a set of data points that cannot be separated by a straight line or a hyperplane in a multi-dimensional space. This means that there is no linear decision boundary that can classify the data points into different classes with 100% accuracy. In such cases, non-linear classification techniques such as kernel methods, decision trees, and neural networks are used to classify the data points. These techniques use complex mathematical algorithms to create decision boundaries that can accurately classify the data points. The choice of technique depends on the complexity of the data and the accuracy required for classification.