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BFGS

Creator
Creator
Seonglae ChoSeonglae Cho
Created
Created
2026 Mar 20 16:47
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Seonglae ChoSeonglae Cho
Edited
Edited
2026 Mar 20 16:48
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Broyden–Fletcher–Goldfarb–Shanno algorithm

 
 
 
 
Broyden–Fletcher–Goldfarb–Shanno algorithm
In numerical optimization, the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is an iterative method for solving unconstrained nonlinear optimization problems.[1] Like the related Davidon–Fletcher–Powell method, BFGS determines the descent direction by preconditioning the gradient with curvature information. It does so by gradually improving an approximation to the Hessian matrix of the loss function, obtained only from gradient evaluations (or approximate gradient evaluations) via a generalized secant method.[2]
Broyden–Fletcher–Goldfarb–Shanno algorithm
https://en.wikipedia.org/wiki/Broyden%E2%80%93Fletcher%E2%80%93Goldfarb%E2%80%93Shanno_algorithm
 
 

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