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33 changes: 15 additions & 18 deletions stan/math/mix/functor/laplace_marginal_density.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -197,17 +197,13 @@ inline auto laplace_marginal_density(LLFun&& ll_fun, LLTupleArgs&& ll_args,
ll_fun, ll_args_vals, covariance_val, options, msgs);
auto ll_args_filter = internal::filter_var_scalar_types(ll_args_copy);
// tuple of references to var types
// Solver 1, 2
const bool solver_1_or_2
= md_est.solver_used == 1 || md_est.solver_used == 2;
arena_t<Eigen::MatrixXd> R(md_est.theta.size() * solver_1_or_2,
md_est.theta.size() * solver_1_or_2);
// Solver 3
arena_t<Eigen::MatrixXd> LU_solve_covariance(
covariance.rows() * (md_est.solver_used == 3),
covariance.cols() * (md_est.solver_used == 3));
const Eigen::Index theta_size = md_est.theta.size();
// Every solver writes R in place; no right-hand side below aliases it
arena_t<Eigen::MatrixXd> R(theta_size, theta_size);
// Solver 3 assigns it
arena_t<Eigen::MatrixXd> LU_solve_covariance;
// Solver 1, 2, 3
arena_t<Eigen::VectorXd> s2(md_est.theta.size());
arena_t<Eigen::VectorXd> s2(theta_size);
using stan::math::internal::ZeroOut;
if (md_est.solver_used == 1) {
if (options.hessian_block_size == 1) {
Expand Down Expand Up @@ -247,13 +243,14 @@ inline auto laplace_marginal_density(LLFun&& ll_fun, LLTupleArgs&& ll_args,
internal::copy_compute_s2<ZeroOut>(partial_parm, ll_args_filter);
}
} else if (md_est.solver_used == 2) {
R = md_est.W_r
- md_est.W_r * md_est.K_root
* md_est.L.transpose()
.template triangularView<Eigen::Upper>()
.solve(
md_est.L.template triangularView<Eigen::Lower>()
.solve(md_est.K_root.transpose() * md_est.W_r));
R.deep_copy(md_est.W_r);
R.noalias()
-= md_est.W_r * md_est.K_root
* md_est.L.transpose()
.template triangularView<Eigen::Upper>()
.solve(
md_est.L.template triangularView<Eigen::Lower>().solve(
md_est.K_root.transpose() * md_est.W_r));

arena_t<Eigen::MatrixXd> C
= md_est.L.template triangularView<Eigen::Lower>().solve(
Expand All @@ -268,7 +265,7 @@ inline auto laplace_marginal_density(LLFun&& ll_fun, LLTupleArgs&& ll_args,
auto I_minus_BinvKW
= Eigen::MatrixXd::Identity(md_est.W_r.rows(), md_est.W_r.cols())
- LU_solve_covariance * md_est.W_r;
R = md_est.W_r * I_minus_BinvKW; // == W - W B^{-1} K W
R.noalias() = md_est.W_r * I_minus_BinvKW; // == W - W B^{-1} K W
arena_t<Eigen::MatrixXd> A
= covariance_val - covariance_val * md_est.W_r * LU_solve_covariance;
auto s2_tmp = laplace_likelihood::compute_s2(ll_fun, md_est.theta, A,
Expand Down
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