File size: 2,402 Bytes
ed7d493 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 | function [ M ] = chainsM( n,order,varargin )
%calculate coefficient matrices for compressed chain rules.
%
% � Copyright, Oren Levintal, June 13, 2016.
compress=1;
if ~isempty(varargin)
compress=0;
end
if order==3
M=cell(2,1);
[~,W2]=create_UW(n,2);
[U3,~]=create_UW(n,3);
OMEGA=create_OMEGA(n,3);
M{2}=spmat2sptensor(kron(speye(n),W2)*OMEGA.OMEGA1*U3);
elseif order==4
M=cell(4,1);
[~,W2]=create_UW(n,2);
[~,W3]=create_UW(n,3);
[U4,~]=create_UW(n,4);
OMEGA=create_OMEGA(n,4);
if compress==1
M{2}=spmat2sptensor(kron(W2,W2)*(OMEGA.OMEGA2*U4)); OMEGA=rmfield(OMEGA,'OMEGA2');
M{3}=spmat2sptensor(kron(speye(n),W3)*(OMEGA.OMEGA3*U4)); OMEGA=rmfield(OMEGA,'OMEGA3');
[~,tempW]=create_UW(nchoosek(n+1,2),2);
M{4}=spmat2sptensor(tempW*kron(W2,W2)*(OMEGA.OMEGA4*U4));
elseif compress==0
M{2}=spmat2sptensor(kron(W2,W2)*(OMEGA.OMEGA2)); OMEGA=rmfield(OMEGA,'OMEGA2');
M{3}=spmat2sptensor(kron(speye(n),W3)*(OMEGA.OMEGA3)); OMEGA=rmfield(OMEGA,'OMEGA3');
[~,tempW]=create_UW(nchoosek(n+1,2),2);
M{4}=spmat2sptensor(tempW*kron(W2,W2)*(OMEGA.OMEGA4));
end
elseif order==5
M=cell(6,1);
[~,W2]=create_UW(n,2);
[~,W3]=create_UW(n,3);
[U4,W4]=create_UW(n,4);
[U5,W5]=create_UW(n,5);
OMEGA=create_OMEGA(n,5);
if compress==1
M{1}=spmat2sptensor(kron(W4,speye(n))*U5);
M{2}=spmat2sptensor(kron(W3,W2)*OMEGA.OMEGA5*U5); OMEGA=rmfield(OMEGA,'OMEGA5');
M{3}=spmat2sptensor(kron(W2,W3)*OMEGA.OMEGA6*U5); OMEGA=rmfield(OMEGA,'OMEGA6');
[~,tempW]=create_UW(nchoosek(n+1,2),2);
M{4}=spmat2sptensor(kron(speye(n),tempW)*kron(kron(speye(n),W2),W2)*OMEGA.OMEGA7*U5); OMEGA=rmfield(OMEGA,'OMEGA7');
M{5}=spmat2sptensor(kron(speye(n),W4)*OMEGA.OMEGA8*U5); OMEGA=rmfield(OMEGA,'OMEGA8');
M{6}=spmat2sptensor(kron(W2,W3)*OMEGA.OMEGA9*U5); OMEGA=rmfield(OMEGA,'OMEGA9');
% elseif compress==0
% M{2}=spmat2sptensor(kron(W2,W2)*(OMEGA.OMEGA2)); OMEGA=rmfield(OMEGA,'OMEGA2');
% M{3}=spmat2sptensor(kron(speye(n),W3)*(OMEGA.OMEGA3)); OMEGA=rmfield(OMEGA,'OMEGA3');
% [~,tempW]=create_UW(nchoosek(n+1,2),2);
% M{4}=spmat2sptensor(tempW*kron(W2,W2)*(OMEGA.OMEGA4));
end
else
error('order is 3 or 4 or 5');
end
end
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