/**
* Important method used in compute CCA
*
* @param X
* @return
*/
public static FlexCompRowMatrix computeSparseInverseSqRoot(FlexCompRowMatrix X) {
FlexCompRowMatrix diagInvEntries = new FlexCompRowMatrix(X.numRows(), X.numColumns());
System.out.println("++Beginning Sparse Inverse Sq. Root++");
for (MatrixEntry e : X) {
if (e.row() == e.column() && e.get() != 0) {
diagInvEntries.set(e.row(), e.column(), 1 / Math.sqrt(e.get()));
}
if (e.row() == e.column() && e.get() == 0) {
diagInvEntries.set(e.row(), e.column(), 10000); // Some large
// value
}
}
System.out.println("++Finished Sparse Inverse Sq. Root++");
return diagInvEntries;
}
/**
* Computing CCA
*
* @param xty - x = \Psi and y= \Phi
* @param ytx
* @param yty
* @param xtx
* @param svdTC
* @param _cpcaR2
* @param twoStageFlag
* @return
*/
private static void computeCCA2(
FlexCompRowMatrix xty,
FlexCompRowMatrix ytx,
FlexCompRowMatrix yty,
FlexCompRowMatrix xtx,
SVDTemplates1 svdTC,
ContextPCARepresentation _cpcaR2,
int twoStageFlag,
int hiddenStates,
String directoryName) {
System.out.println("+++Entering CCA Compute Function+++");
DenseDoubleMatrix2D phiLCOLT, phiRCOLT;
// remember x is Psi, i.e. the outside feature matrix and hence the
// dimensionality here is dprime \times k
System.out.println("***Creating the dense matrix, Memory Consuming Step****");
/* Total memory currently in use by the JVM */
System.out.println(
"Total memory (bytes) currently used: " + Runtime.getRuntime().totalMemory());
phiLCOLT = new DenseDoubleMatrix2D(xtx.numRows(), hiddenStates);
/*
* The below matrix dimensionality is d \times k
*/
phiRCOLT = new DenseDoubleMatrix2D(yty.numRows(), hiddenStates);
System.out.println("****Memory Consuming Step Done, Loaded two huge matrices in Memory****");
/* Total memory currently in use by the JVM */
System.out.println(
"Total memory (bytes) used currently by JVM: " + Runtime.getRuntime().totalMemory());
/*
* dprime \times d
*/
FlexCompRowMatrix auxMat1 = new FlexCompRowMatrix(xtx.numRows(), xty.numColumns());
/*
* d \times dprime
*/
FlexCompRowMatrix auxMat2 = new FlexCompRowMatrix(yty.numRows(), ytx.numColumns());
/*
* dprime \times d
*/
FlexCompRowMatrix auxMat3 = new FlexCompRowMatrix(auxMat1.numRows(), auxMat1.numColumns());
/*
* d \times dprime
*/
FlexCompRowMatrix auxMat4 = new FlexCompRowMatrix(auxMat2.numRows(), auxMat2.numColumns());
// d in our case, the dimensionality of the inside feature matrix
int dim1 = ytx.numRows();
// dprime in our case, the dimensionality of the outside feature matrix
int dim2 = xty.numRows();
System.out.println("+++Initialized auxiliary matrices+++");
/*
* Calculating C_{xx}^{-1|2} C_{xy}
*/
auxMat1 =
MatrixFormatConversion.multLargeSparseMatricesJEIGEN(computeSparseInverseSqRoot(xtx), xty);
/*
* Multiplying auxMat1 with C_{yy}^{-1|2}
*/
auxMat3 =
MatrixFormatConversion.multLargeSparseMatricesJEIGEN(
auxMat1, computeSparseInverseSqRoot(yty));
System.out.println("+++Computed 1 inverse+++");
// (svdTC.computeSparseInverse(yty)).zMult(ytx, auxMat2);
/*
* C_{yy}^{-1|2}.C_{yx}
*/
auxMat2 =
MatrixFormatConversion.multLargeSparseMatricesJEIGEN(
(svdTC.computeSparseInverseSqRoot(yty)), ytx);
/*
* Multiplying auxMat2 with C_{xx}^{-1|2}
*/
auxMat4 =
MatrixFormatConversion.multLargeSparseMatricesJEIGEN(
auxMat2, svdTC.computeSparseInverseSqRoot(xtx));
System.out.println("+++Computed Inverses+++");
// auxMat1.zMult(auxMat2,auxMat3);
System.out.println("+++Entering SVD computation+++");
/*
* Unnormalized Z projection matrix i.e. the Outside Projection Matrix,
* but Unnormalized
*/
phiLCSU =
svdTC.computeSVD_Tropp(
MatrixFormatConversion.createSparseMatrixCOLT(auxMat3),
getOmegaMatrix(auxMat3.numColumns(), hiddenStates),
dim1);
s = svdTC.getSingularVals();
/*
* Write singular values to a file, just to see what's going on in here
*/
VSMUtil.writeSingularValuesSem(s, "NNS");
// phiL=phiLCSU;
MatrixFormatConversion.createSparseMatrixCOLT((svdTC.computeSparseInverseSqRoot(xtx)))
.zMult(MatrixFormatConversion.createDenseMatrixCOLT(phiLCSU), phiLCOLT);
/*
* This is the actual Outside projection TODO, check whether this is
* actually the Outside projection. We get this by performing SVD on
* C_{xx}^{-1|2}.C_{XY}.C{YY}^{-1|2}, where x is the outside feature
* matrix (\Psi) and y is the inside feature matrix (\Phi) dprime \times
* k
*/
/* Total memory currently in use by the JVM */
System.out.println(
"Total memory (bytes) currently used: " + Runtime.getRuntime().totalMemory());
phiL = MatrixFormatConversion.createDenseMatrixJAMA(phiLCOLT);
/*
* Unormalized Y projection matrix
*/
phiRCSU =
svdTC.computeSVD_Tropp(
MatrixFormatConversion.createSparseMatrixCOLT(auxMat4),
getOmegaMatrix(auxMat4.numColumns(), hiddenStates),
dim2);
MatrixFormatConversion.createSparseMatrixCOLT((svdTC.computeSparseInverseSqRoot(yty)))
.zMult(MatrixFormatConversion.createDenseMatrixCOLT(phiRCSU), phiRCOLT);
/*
* THe inside projection matrix for the node
*/
// 700000 \times 200
/* Total memory currently in use by the JVM */
System.out.println(
"Total memory (bytes) currently used: " + Runtime.getRuntime().totalMemory());
phiR = MatrixFormatConversion.createDenseMatrixJAMA(phiRCOLT);
/*
* Serialize PhiR and PhiL
*/
System.out.println("***Serializing***");
serializeCCAVariantsRun(directoryName);
System.out.println("Freeing up the memory");
phiLCOLT = null;
phiRCOLT = null;
phiL = null;
phiLCSU = null;
phiRCSU = null;
phiR = null;
/* Total memory currently in use by the JVM */
System.out.println(
"Total memory (bytes) currently used: " + Runtime.getRuntime().totalMemory());
}
