.TH "src/mlpack/core/optimizers/lbfgs/test_functions.hpp" 3 "Tue Sep 9 2014" "Version 1.0.10" "MLPACK" \" -*- nroff -*- .ad l .nh .SH NAME src/mlpack/core/optimizers/lbfgs/test_functions.hpp \- .SH SYNOPSIS .br .PP .SS "Classes" .in +1c .ti -1c .RI "class \fBmlpack::optimization::test::GeneralizedRosenbrockFunction\fP" .br .RI "\fIThe Generalized Rosenbrock function in n dimensions, defined by f(x) = sum_i^{n - 1} (f(i)(x)) f_i(x) = 100 * (x_i^2 - x_{i + 1})^2 + (1 - x_i)^2 x_0 = [-1\&.2, 1, -1\&.2, 1, \&.\&.\&.]\&. \fP" .ti -1c .RI "class \fBmlpack::optimization::test::RosenbrockFunction\fP" .br .RI "\fIThe Rosenbrock function, defined by f(x) = f1(x) + f2(x) f1(x) = 100 (x2 - x1^2)^2 f2(x) = (1 - x1)^2 x_0 = [-1\&.2, 1]\&. \fP" .ti -1c .RI "class \fBmlpack::optimization::test::RosenbrockWoodFunction\fP" .br .RI "\fIThe Generalized Rosenbrock function in 4 dimensions with the Wood Function in four dimensions\&. \fP" .ti -1c .RI "class \fBmlpack::optimization::test::WoodFunction\fP" .br .RI "\fIThe Wood function, defined by f(x) = f1(x) + f2(x) + f3(x) + f4(x) + f5(x) + f6(x) f1(x) = 100 (x2 - x1^2)^2 f2(x) = (1 - x1)^2 f3(x) = 90 (x4 - x3^2)^2 f4(x) = (1 - x3)^2 f5(x) = 10 (x2 + x4 - 2)^2 f6(x) = (1 / 10) (x2 - x4)^2 x_0 = [-3, -1, -3, -1]\&. \fP" .in -1c .SS "Namespaces" .in +1c .ti -1c .RI " \fBmlpack\fP" .br .RI "\fILinear algebra utility functions, generally performed on matrices or vectors\&. \fP" .ti -1c .RI " \fBmlpack::optimization\fP" .br .ti -1c .RI " \fBmlpack::optimization::test\fP" .br .in -1c .SH "Detailed Description" .PP .PP \fBAuthor:\fP .RS 4 Ryan Curtin .RE .PP A collection of functions to test optimizers (in this case, L-BFGS)\&. These come from the following paper: .PP 'Testing Unconstrained Optimization Software' Jorge J\&. Moré, Burton S\&. Garbow, and Kenneth E\&. Hillstrom\&. 1981\&. ACM Trans\&. Math\&. Softw\&. 7, 1 (March 1981), 17-41\&. http://portal.acm.org/citation.cfm?id=355934.355936 .PP This file is part of MLPACK 1\&.0\&.10\&. .PP MLPACK is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version\&. .PP MLPACK is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE\&. See the GNU Lesser General Public License for more details (LICENSE\&.txt)\&. .PP You should have received a copy of the GNU General Public License along with MLPACK\&. If not, see http://www.gnu.org/licenses/\&. .PP Definition in file \fBtest_functions\&.hpp\fP\&. .SH "Author" .PP Generated automatically by Doxygen for MLPACK from the source code\&.