1. A subspace of one dimension less than the space in which it exists; in n-dimensional space, a flat geometric object of dimension n−1.
Usage: mathematics; technical

Examples

• In three-dimensional space, a hyperplane is a two-dimensional plane.
• A hyperplane in two-dimensional space is simply a line.
• Machine learning algorithms often use hyperplanes to separate data into different classes.
• The support vector machine finds the optimal hyperplane that maximizes the margin between two groups.
• In linear algebra, a hyperplane can be defined by a linear equation.
• The decision boundary in a neural network can be approximated by multiple hyperplanes.