rval = OF .evaluate_with_Hessian( ObjectiveFunction::CALCULATE, pd, value, grad, OF_hess , err ); ASSERT_NO_ERROR(err); CPPUNIT_ASSERT(rval); } 开发者ID:haripandey,项目名称:trilinos,代码行数:30,代码来源:CompositeOFTest.cpp 示例2: evaluate_internal ▲点赞 7▼ /** Internal helper fun...
In convex optimization, first-order methods are iterative algorithms that use function values and (generalized) derivatives to build minimizing sequences. Perhaps the oldest and simplest of them is the gradient method [13], which can be interpreted as a finite-difference discretization of the differe...
Thereby, the local structure of a voxel (i.e. tubular, blob-like or plate-like) at each scale is encoded in the sign and amplitude of the Hessian eigenvalues. By selecting specific eigenvalues and defining a vesselness function, the contrast of vessels is enhanced, while non-vascular ...
Mechanics of Advanced Materials and StructuresLiu, Q., Paavola, J. and Zhang, J. (2016) Shape and Cross-Section Optimization of Plane Trusses Subjected to Earthquake Excitation Using Gradient and Hessian Ma- trix Calculations. Mechanics of Composite Materials & Structures, 23, 156-169. https:/...
In this case, the algorithm involves the proximal operators of f and phi separately. Several variants of this algorithm are considered, including the case of the Nesterov accelerated gradient method. We then consider the extension to the case of additive composite optimization, thus leading to ...
Analytical expressions for this Hessian are complicated because of the composite actions of the NL and the mapping; and this creates significant burden in computer coding. In this work, a theoretical framework is developed for evaluating the Hessian of a function under constraints in a systematic ...
Mechanics of Advanced Materials and StructuresLiu, Q., Paavola, J. and Zhang, J. (2016) Shape and Cross-Section Optimization of Plane Trusses Subjected to Earthquake Excitation Using Gradient and Hessian Ma- trix Calculations. Mechanics of Composite Materials & Structures, 23, 156-169. https:/...