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Convex combination - Definition and Overview |
| Related Words: Accompaniment, Accord, Addition, Adjunct, Affairs, Affiliation, Affinity, Agglomeration, Agglutination, Aggregate, Aggregation, Agreement, Alignment, Alliance, Alloy, Amalgam, Amalgamation, Approximation, Array, Articulation, Assemblage, Assembly, Association |
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A convex combination is a linear combination of data points (which can be vectors or scalars) where all coefficients are positive and sum up to 1. It is called a convex combination since all possible convex combinations (given the base vectors) will be part of a convex hull with the given datapoints as the vertices. A special case is with only two data points, where the value of the new point (formed by the convex combination) will lie on a straight line between the two points.
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