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lkj_corr_cholesky_log.hpp
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1 #ifndef STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_CHOLESKY_LOG_HPP
2 #define STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_CHOLESKY_LOG_HPP
3
4 #include <stan/math/prim/scal/err/check_finite.hpp>
5 #include <stan/math/prim/scal/err/check_positive.hpp>
6 #include <stan/math/prim/scal/fun/constants.hpp>
7 #include <stan/math/prim/scal/meta/include_summand.hpp>
8 #include <stan/math/prim/mat/fun/factor_cov_matrix.hpp>
9 #include <stan/math/prim/mat/fun/factor_U.hpp>
10 #include <stan/math/prim/mat/fun/read_corr_L.hpp>
11 #include <stan/math/prim/mat/fun/read_corr_matrix.hpp>
12 #include <stan/math/prim/mat/fun/read_cov_L.hpp>
13 #include <stan/math/prim/mat/fun/read_cov_matrix.hpp>
14 #include <stan/math/prim/mat/fun/make_nu.hpp>
15 #include <stan/math/prim/scal/fun/identity_constrain.hpp>
16 #include <stan/math/prim/scal/fun/identity_free.hpp>
17 #include <stan/math/prim/scal/fun/positive_constrain.hpp>
18 #include <stan/math/prim/scal/fun/positive_free.hpp>
19 #include <stan/math/prim/scal/fun/lb_constrain.hpp>
20 #include <stan/math/prim/scal/fun/lb_free.hpp>
21 #include <stan/math/prim/scal/fun/ub_constrain.hpp>
22 #include <stan/math/prim/scal/fun/ub_free.hpp>
23 #include <stan/math/prim/scal/fun/lub_constrain.hpp>
24 #include <stan/math/prim/scal/fun/lub_free.hpp>
25 #include <stan/math/prim/scal/fun/prob_constrain.hpp>
26 #include <stan/math/prim/scal/fun/prob_free.hpp>
27 #include <stan/math/prim/scal/fun/corr_constrain.hpp>
28 #include <stan/math/prim/scal/fun/corr_free.hpp>
29 #include <stan/math/prim/mat/fun/simplex_constrain.hpp>
30 #include <stan/math/prim/mat/fun/simplex_free.hpp>
31 #include <stan/math/prim/mat/fun/ordered_constrain.hpp>
32 #include <stan/math/prim/mat/fun/ordered_free.hpp>
33 #include <stan/math/prim/mat/fun/positive_ordered_constrain.hpp>
34 #include <stan/math/prim/mat/fun/positive_ordered_free.hpp>
35 #include <stan/math/prim/mat/fun/cholesky_factor_constrain.hpp>
36 #include <stan/math/prim/mat/fun/cholesky_factor_free.hpp>
37 #include <stan/math/prim/mat/fun/cholesky_corr_constrain.hpp>
38 #include <stan/math/prim/mat/fun/cholesky_corr_free.hpp>
39 #include <stan/math/prim/mat/fun/corr_matrix_constrain.hpp>
40 #include <stan/math/prim/mat/fun/corr_matrix_free.hpp>
41 #include <stan/math/prim/mat/fun/cov_matrix_constrain.hpp>
42 #include <stan/math/prim/mat/fun/cov_matrix_free.hpp>
43 #include <stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp>
44 #include <stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp>
45 #include <stan/math/prim/mat/prob/lkj_corr_log.hpp>
46 #include <stan/math/prim/mat/fun/multiply.hpp>
47
48 namespace stan {
49 namespace math {
50
51 // LKJ_Corr(L|eta) [ L Cholesky factor of correlation matrix
52 // eta > 0; eta == 1 <-> uniform]
53 template <bool propto,
54 typename T_covar, typename T_shape>
55 typename boost::math::tools::promote_args<T_covar, T_shape>::type
56 lkj_corr_cholesky_log(const Eigen::Matrix
57 <T_covar, Eigen::Dynamic, Eigen::Dynamic>& L,
58 const T_shape& eta) {
59 static const char* function("lkj_corr_cholesky_log");
60
61 using boost::math::tools::promote_args;
62
63 typedef typename promote_args<T_covar, T_shape>::type lp_ret;
64 lp_ret lp(0.0);
65 check_positive(function, "Shape parameter", eta);
66 check_lower_triangular(function, "Random variable", L);
67
68 const unsigned int K = L.rows();
69 if (K == 0)
70 return 0.0;
71
72 if (include_summand<propto, T_shape>::value)
73 lp += do_lkj_constant(eta, K);
74 if (include_summand<propto, T_covar, T_shape>::value) {
75 const int Km1 = K - 1;
76 Eigen::Matrix<T_covar, Eigen::Dynamic, 1> log_diagonals =
77 L.diagonal().tail(Km1).array().log();
78 Eigen::Matrix<lp_ret, Eigen::Dynamic, 1> values(Km1);
79 for (int k = 0; k < Km1; k++)
80 values(k) = (Km1 - k - 1) * log_diagonals(k);
81 if ( (eta == 1.0) &&
82 stan::is_constant<typename stan::scalar_type<T_shape> >::value) {
83 lp += sum(values);
84 return(lp);
85 }
86 values += multiply(2.0 * eta - 2.0, log_diagonals);
87 lp += sum(values);
88 }
89
90 return lp;
91 }
92
93 template <typename T_covar, typename T_shape>
94 inline
95 typename boost::math::tools::promote_args<T_covar, T_shape>::type
96 lkj_corr_cholesky_log(const Eigen::Matrix
97 <T_covar, Eigen::Dynamic, Eigen::Dynamic>& L,
98 const T_shape& eta) {
99 return lkj_corr_cholesky_log<false>(L, eta);
100 }
101
102 }
103 }
104 #endif
ub_constrain.hpp
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
factor_U.hpp
lkj_corr_log.hpp
multiply.hpp
stan::is_constant
Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the ...
Definition: is_constant.hpp:22
cov_matrix_free_lkj.hpp
positive_free.hpp
check_positive.hpp
stan
Definition: log_sum_exp.hpp:8
lb_free.hpp
stan::math::multiply
Eigen::Matrix< fvar< T >, R1, C1 > multiply(const Eigen::Matrix< fvar< T >, R1, C1 > &m, const fvar< T > &c)
Definition: multiply.hpp:20
cov_matrix_free.hpp
corr_matrix_constrain.hpp
cholesky_factor_free.hpp
stan::math::include_summand
Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...
Definition: include_summand.hpp:35
include_summand.hpp
corr_constrain.hpp
stan::math::check_lower_triangular
bool check_lower_triangular(const char *function, const char *name, const Eigen::Matrix< T_y, Eigen::Dynamic, Eigen::Dynamic > &y)
Return true if the specified matrix is lower triangular.
Definition: check_lower_triangular.hpp:33
prob_free.hpp
ordered_constrain.hpp
stan::math::lkj_corr_cholesky_log
boost::math::tools::promote_args< T_covar, T_shape >::type lkj_corr_cholesky_log(const Eigen::Matrix< T_covar, Eigen::Dynamic, Eigen::Dynamic > &L, const T_shape &eta)
Definition: lkj_corr_cholesky_log.hpp:56
cov_matrix_constrain_lkj.hpp
read_cov_L.hpp
simplex_free.hpp
cholesky_corr_constrain.hpp
stan::math::check_positive
bool check_positive(const char *function, const char *name, const T_y &y)
Return true if y is positive.
Definition: check_positive.hpp:66
identity_free.hpp
simplex_constrain.hpp
prob_constrain.hpp
cholesky_factor_constrain.hpp
factor_cov_matrix.hpp
ub_free.hpp
cholesky_corr_free.hpp
constants.hpp
check_finite.hpp
cov_matrix_constrain.hpp
identity_constrain.hpp
positive_ordered_constrain.hpp
positive_constrain.hpp
lub_constrain.hpp
read_cov_matrix.hpp
read_corr_matrix.hpp
stan::math::do_lkj_constant
T_shape do_lkj_constant(const T_shape &eta, const unsigned int &K)
Definition: lkj_corr_log.hpp:53
read_corr_L.hpp
lub_free.hpp
positive_ordered_free.hpp
corr_matrix_free.hpp
make_nu.hpp
lb_constrain.hpp
ordered_free.hpp
corr_free.hpp

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