1. A subspace of one dimension less than the space it is contained in; in n-dimensional space, a flat geometric object of dimension n−1.
Usage: mathematics; plural form of hyperplane

Examples

• In three-dimensional space, hyperplanes are two-dimensional planes.
• The algorithm separates data points using hyperplanes in high-dimensional feature space.
• Support vector machines find optimal hyperplanes to classify data.
• In four-dimensional geometry, hyperplanes have three dimensions.
• The intersection of multiple hyperplanes can define a lower-dimensional subspace.