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function optimize_prior(options_, M_, oo_, Prior, estim_params_, pnames)
% This routine computes the mode of the prior density using an optimization algorithm.
%
% INPUTS
% options_ [structure] describing the options
% M_ [structure] describing the model
% oo_ [structure] storing the results
% bayestopt_ [structure] describing the priors
% estim_params_ [structure] characterizing parameters to be estimated
% Copyright © 2015-2023 Dynare Team
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare 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 General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <https://www.gnu.org/licenses/>.
oo_.dr = set_state_space(oo_.dr, M_, options_);
% Initialize to the prior mean
xparam1 = Prior.p1;
% Pertubation of the initial condition.
look_for_admissible_initial_condition = true; scale = 1.0; iter = 0;
while look_for_admissible_initial_condition
xinit = xparam1+scale*randn(size(xparam1));
if all(xinit>Prior.p3) && all(xinit<Prior.p4)
M_ = set_all_parameters(xinit, estim_params_, M_);
[~, INFO, M_, oo_] = resol(0, M_, options_, oo_);
if ~INFO(1)
look_for_admissible_initial_condition = false;
end
else
if iter==2000
scale = scale/1.1;
iter = 0;
else
iter = iter+1;
end
end
end
% Maximization of the prior density
xparams = maximize_prior_density(xinit, pnames, options_, M_, Prior, estim_params_, oo_);
% Display results.
skipline(2)
disp('------------------')
disp('PRIOR OPTIMIZATION')
disp('------------------')
skipline()
for i = 1:length(xparams)
dprintf('deep parameter %u: %s.', i, get_the_name(i, 0, M_, estim_params_, options_.varobs))
dprintf(' Initial condition ........ %s.', num2str(xinit(i)))
dprintf(' Prior mode ............... %s.', num2str(Prior.p5(i)))
dprintf(' Optimized prior mode ..... %s.', num2str(xparams(i)))
skipline()
end
skipline()
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