📄 calctreeheight.m
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function [maxheight,cost] = CalcTreeHeight(stree,D)
% CalcTreeHeight -- Measure the total height of a stat-tree
% Usage
% [maxheight, cost] = CalcTreeHeight(stree,D)
% Inputs
% stree stat tree (e.g. generated by CalcStatTree)
% D maximum depth of search
% Outputs
% maxheight Height of the tree, assigning to each branch a length
% equal to the entropy drop between parent and child
% cost Tree of entropy drops associated with various splits
%
% Description
% This is a utility used by PlotBasisTree to set scale for plotting
% It is not intended for other use.
%
% See Also
% CalcStatTree, PlotBasisTree
%
cost = zeros(size(stree));
value = stree;
% prune, bottom-UpSample, left-right scan
for d=D-1:-1:0,
for b=0:(2^d-1),
vparent = stree(node(d,b));
vchild = value(node(d+1,2*b)) + value(node(d+1,2*b+1));
if(vparent < vchild),
value(node(d,b)) = vparent;
cost(node(d,b)) = 0. ;
else
value(node(d,b)) = vchild;
cost(node(d,b)) = vparent - vchild;
end
end
end
height = cost .* 0;
% prune, bottom-UpSample, left-right scan
for d=D-1:-1:0,
for b=0:(2^d-1),
delta = cost(node(d,b));
if(delta == 0)
height(node(d,b)) = 0;
else
height(node(d,b)) = delta + ...
max(height(node(d+1,2*b)),height(node(d+1,2*b+1)));
end
end
end
maxheight = height(1);
%
% Copyright (c) 1993. David L. Donoho
%
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:40 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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