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单词 Conditional gradient method
释义

Conditional gradient method

英语百科

Frank–Wolfe algorithm

A step of the Frank–Wolfe algorithm
The graph of a strictly concave quadratic function is shown in blue, with its unique maximum shown as a red dot. Below the graph appears the contours of the function: The level sets are nested ellipses.

The Frank–Wolfe algorithm is an iterative first-order optimization algorithm for constrained convex optimization. Also known as the conditional gradient method, reduced gradient algorithm and the convex combination algorithm, the method was originally proposed by Marguerite Frank and Philip Wolfe in 1956. In each iteration, the Frank–Wolfe algorithm considers a linear approximation of the objective function, and moves slightly towards a minimizer of this linear function (taken over the same domain).

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