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comp_pers_cpt.m
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comp_pers_cpt.m
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function perspective = comp_pers_cpt(nodes,num_nodes_indices,denom_nodes_indices,numerator_state,bf_option)
% compute BRs and FRs for a single perspective but given some fixed
% current state
if isempty(denom_nodes_indices)
perspective = [];
return
% elseif isempty(num_nodes_indices)
% % num_sys_nodes = denom_nodes_indices(1).num_sys_nodes;
% % denom_conditional_joint_size = ones(1,2*num_sys_nodes);
% % denom_conditional_joint_size(1:num_sys_nodes == denom_nodes_indices
% denom_conditional_joint = [];
% return
end
num_sys_nodes = nodes(1).num_sys_nodes;
if strcmp(bf_option,'backward')
denom_nodes = nodes(denom_nodes_indices);
num_nodes_shift = num_nodes_indices + num_sys_nodes;
numerator_nodes = nodes(num_nodes_shift);
% no nodes in numerator means maxent over denom
if isempty(num_nodes_indices)
perspective_dim_sizes = ones(1,num_sys_nodes);
perspective_dim_sizes(denom_nodes_indices) = [denom_nodes.num_states];
perspective = ones(perspective_dim_sizes)./prod(perspective_dim_sizes);
return
end
numerator_conditional_joint_size = ones(1,2*num_sys_nodes);
numerator_conditional_joint_size(denom_nodes_indices) = [denom_nodes.num_states];
numerator_conditional_joint = ones(numerator_conditional_joint_size);
% setup cell array for conditioning
conditioning_indices = cell(1,2*num_sys_nodes);
conditioning_indices(:) = {':'};
% conditioning_indices([numerator_nodes.num]) = num2cell(numerator_state(numerator_nodes.num - num_sys_nodes));
% % we do the first iteration outside the for main foor loop so we can
% % initialize the joint
% this_node_conditioning_indices = conditioning_indices;
% this_node_conditioning_indices{numerator_nodes(1).num} = numerator_state(numerator_nodes(1).num - num_sys_nodes) + 1;
% numerator_conditional_joint = numerator_nodes(1).cpt(this_node_conditioning_indices{:});
%
% prob_current_state = sum(numerator_conditional_joint(:));
%
% % marginalize over nodes not in denominator, these nodes are outside the
% % system for this iteration or they are outside a partition - either
% % way we apply maxent prior + marginalization
% for j = 1:num_sys_nodes
%
% if ~any(j == denom_nodes_indices) && any(j == numerator_nodes(1).input_nodes)
% numerator_conditional_joint = ...
% sum(numerator_conditional_joint,j)./size(numerator_conditional_joint,j);
% end
%
% end
prob_current_state = 1;
for i = 1:length(num_nodes_indices)
this_node_conditioning_indices = conditioning_indices;
this_node_conditioning_indices{numerator_nodes(i).num} = numerator_state(numerator_nodes(i).num - num_sys_nodes) + 1;
next_num_node_distribution = numerator_nodes(i).cpt(this_node_conditioning_indices{:});
prob_current_state = prob_current_state * sum(next_num_node_distribution(:));
% marginalize over nodes not in denom, these nodes are outside the
% system for this iteration or they are outside a partition - either
% way we apply maxent prior/marginalization
for j = 1:num_sys_nodes
if ~any(j == denom_nodes_indices) && any(j == numerator_nodes(i).input_nodes)
next_num_node_distribution = ...
sum(next_num_node_distribution,j)./size(next_num_node_distribution,j);
end
end
% the magic
numerator_conditional_joint = bsxfun(@times,numerator_conditional_joint,next_num_node_distribution);
end
% conditioning on fixed nodes
% perspective = numerator_conditional_joint .* (1/prod([denom_nodes.num_states])) ./ prob_current_state;
perspective = numerator_conditional_joint ./ sum(numerator_conditional_joint(:));
% P(denom_nodes_f | num_nodes_c = numerator_state) = P(denom_nodes_c | num_nodes_p = numerator_state)
elseif strcmp(bf_option,'forward')
denom_nodes_shift = denom_nodes_indices + num_sys_nodes;
denom_nodes = nodes(denom_nodes_shift);
% % % % % no nodes in numerator means maxent over denom
% % % % if isempty(num_nodes_indices)
% % % %
% % % % perspective_dim_sizes = ones(1,num_sys_nodes);
% % % % perspective_dim_sizes(denom_nodes_indices) = [denom_nodes.num_states];
% % % % perspective = ones(perspective_dim_sizes)./prod(perspective_dim_sizes);
% % % % return
% % % %
% % % % end
% % % %
denom_conditional_joint_size = ones(1,2*num_sys_nodes);
denom_conditional_joint_size(denom_nodes_indices + num_sys_nodes) = [denom_nodes.num_states];
denom_conditional_joint = ones(denom_conditional_joint_size);
denom_inputs = [];
for i = 1:length(denom_nodes)
denom_inputs = union(denom_inputs,denom_nodes(i).input_nodes);
end
% % we do the first iteration outside the main for loop so we can
% % initialize the joint
% denom_conditional_joint = denom_nodes(1).cpt;
%
conditioning_indices = cell(1,2*num_sys_nodes);
conditioning_indices(:) = {':'};
% conditioning_indices{num_nodes_indices} = numerator_state(num_nodes_indices) + 1;
% for i = 1:2*num_sys_nodes
% conditioning_indices{i} = ':';
% end
%
% % marginalize over nodes not in numerator, these nodes are outside the
% % system for this iteration or they are outside a partition - either
% % way we apply maxent prior/marginalization
for j = 1:num_sys_nodes
% %
% % if ~any(j == num_nodes_indices) && any(j == denom_nodes(1).input_nodes)
% % denom_conditional_joint = ...
% % sum(denom_conditional_joint,j)./size(denom_conditional_joint,j);
if any(j == num_nodes_indices) && any(j == denom_inputs)
conditioning_indices{j} = numerator_state(j) + 1;
end
% %
end
for i = 1:length(denom_nodes)
next_denom_node_distribution = denom_nodes(i).cpt;
% marginalize over nodes not in denom, these nodes are outside the
% system for this iteration or they are outside a partition - either
% way we apply maxent prior/marginalization
for j = num_sys_nodes:-1:1
if ~any(j == num_nodes_indices) && any(j == denom_nodes(i).input_nodes)
next_denom_node_distribution = ...
sum(next_denom_node_distribution,j)./size(next_denom_node_distribution,j);
end
end
% the magic
denom_conditional_joint = bsxfun(@times,denom_conditional_joint,next_denom_node_distribution);
end
% conditioning on fixed nodes
denom_conditional_joint = denom_conditional_joint(conditioning_indices{:});
permute_order = [num_sys_nodes+1:2*num_sys_nodes 1:num_sys_nodes];
perspective = permute(denom_conditional_joint,permute_order);
end