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grad_tr_mat_times_hessian.hpp
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1 #ifndef STAN_MATH_MIX_MAT_FUNCTOR_GRAD_TR_MAT_TIMES_HESSIAN_HPP
2 #define STAN_MATH_MIX_MAT_FUNCTOR_GRAD_TR_MAT_TIMES_HESSIAN_HPP
3
4 #include <stan/math/fwd/core.hpp>
5 #include <stan/math/prim/mat/fun/Eigen.hpp>
6 #include <stan/math/rev/core.hpp>
7 #include <stan/math/mix/mat/functor/gradient_dot_vector.hpp>
8 #include <vector>
9
10 namespace stan {
11
12 namespace math {
13
14 using Eigen::Dynamic;
15
16 // FIXME: add other results that are easy to extract
17 // // N * (fwd(2) + bk)
18 template <typename F>
19 void
20 grad_tr_mat_times_hessian(const F& f,
21 const Eigen::Matrix<double, Dynamic, 1>& x,
22 const Eigen::Matrix<double, Dynamic, Dynamic>& M,
23 Eigen::Matrix<double, Dynamic, 1>& grad_tr_MH) {
24 using Eigen::Matrix;
25 start_nested();
26 try {
27 grad_tr_MH.resize(x.size());
28
29 Matrix<var, Dynamic, 1> x_var(x.size());
30 for (int i = 0; i < x.size(); ++i)
31 x_var(i) = x(i);
32
33 Matrix<fvar<var>, Dynamic, 1> x_fvar(x.size());
34
35 var sum(0.0);
36 Matrix<double, Dynamic, 1> M_n(x.size());
37 for (int n = 0; n < x.size(); ++n) {
38 for (int k = 0; k < x.size(); ++k)
39 M_n(k) = M(n, k);
40 for (int k = 0; k < x.size(); ++k)
41 x_fvar(k) = fvar<var>(x_var(k), k == n);
42 fvar<var> fx;
43 fvar<var> grad_fx_dot_v;
44 gradient_dot_vector<fvar<var>, double>(f, x_fvar, M_n, fx,
45 grad_fx_dot_v);
46 sum += grad_fx_dot_v.d_;
47 }
48
49 stan::math::grad(sum.vi_);
50 for (int i = 0; i < x.size(); ++i)
51 grad_tr_MH(i) = x_var(i).adj();
52 } catch (const std::exception& e) {
53 stan::math::recover_memory_nested();
54 throw;
55 }
56 stan::math::recover_memory_nested();
57 }
58
59
60 } // namespace math
61 } // namespace stan
62 #endif
stan::math::sum
fvar< T > sum(const std::vector< fvar< T > > &m)
Return the sum of the entries of the specified standard vector.
Definition: sum.hpp:20
core.hpp
core.hpp
stan::math::fvar::d_
T d_
Definition: fvar.hpp:15
stan::math::grad_tr_mat_times_hessian
void grad_tr_mat_times_hessian(const F &f, const Eigen::Matrix< double, Dynamic, 1 > &x, const Eigen::Matrix< double, Dynamic, Dynamic > &M, Eigen::Matrix< double, Dynamic, 1 > &grad_tr_MH)
Definition: grad_tr_mat_times_hessian.hpp:20
stan::math::grad
static void grad(chainable *vi)
Compute the gradient for all variables starting from the specified root variable implementation.
Definition: grad.hpp:30
stan::math::var
Independent (input) and dependent (output) variables for gradients.
Definition: var.hpp:32
Eigen.hpp
gradient_dot_vector.hpp
stan::math::e
double e()
Return the base of the natural logarithm.
Definition: constants.hpp:95
stan::math::recover_memory_nested
static void recover_memory_nested()
Recover only the memory used for the top nested call.
Definition: recover_memory_nested.hpp:21
stan::math::start_nested
static void start_nested()
Record the current position so that recover_memory_nested() can find it.
Definition: start_nested.hpp:13
stan::math::fvar
Definition: fvar.hpp:13

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