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- Descent_direction abstract "In optimization, a descent direction is a vector that, in the sense below, moves us closer towards a local minimum of our objective function .Suppose we are computing by an iterative method, such as line search. We define a descent direction at the th iterate to be any such that , where denotes the inner product. The motivation for such an approach is that small steps along guarantee that is reduced, by Taylor's theorem.Using this definition, the negative of a non-zero gradient is always adescent direction, as . Numerous methods exist to compute descent directions, all with differing merits. For example, one could use gradient descent or the conjugate gradient method.More generally, if is a positive definite matrix, thenis a descent directionat .This generality is used in preconditioned gradient descent methods.".
- Descent_direction wikiPageID "1537992".
- Descent_direction wikiPageRevisionID "575516325".
- Descent_direction hasPhotoCollection Descent_direction.
- Descent_direction subject Category:Mathematical_optimization.
- Descent_direction comment "In optimization, a descent direction is a vector that, in the sense below, moves us closer towards a local minimum of our objective function .Suppose we are computing by an iterative method, such as line search. We define a descent direction at the th iterate to be any such that , where denotes the inner product.".
- Descent_direction label "Descent direction".
- Descent_direction label "Direction de descente".
- Descent_direction label "Direzione di discesa".
- Descent_direction sameAs Direction_de_descente.
- Descent_direction sameAs Direzione_di_discesa.
- Descent_direction sameAs m.058ws2.
- Descent_direction sameAs Q2070951.
- Descent_direction sameAs Q2070951.
- Descent_direction wasDerivedFrom Descent_direction?oldid=575516325.
- Descent_direction isPrimaryTopicOf Descent_direction.