Classical Subgradient Rules
Let be a convex function with domain . A classical subgradient method iterates
where denotes a subgradient of at . If is differentiable, then its only subgradient is the gradient vector itself. It may happen that is not a descent direction for at . We therefore maintain a list that keeps track of the lowest objective function value found so far, i.e.
Read more about this topic: Subgradient Method
Famous quotes containing the words classical and/or rules:
“Compare the history of the novel to that of rock ‘n’ roll. Both started out a minority taste, became a mass taste, and then splintered into several subgenres. Both have been the typical cultural expressions of classes and epochs. Both started out aggressively fighting for their share of attention, novels attacking the drama, the tract, and the poem, rock attacking jazz and pop and rolling over classical music.”
—W. T. Lhamon, U.S. educator, critic. “Material Differences,” Deliberate Speed: The Origins of a Cultural Style in the American 1950s, Smithsonian (1990)
“[O]ur rules can have authority over such natural rights only as we have submitted to them. The rights of conscience we never submitted, we could not submit. We are answerable for them to our God.”
—Thomas Jefferson (1743–1826)