void mi2DiffBins(const double *x, const double *y, int *n, int *binx, int *biny, int *sox, int *soy, double *miOut, int *norm, int *negateMI){
double *ux = (double*) calloc(*binx + *sox, sizeof(double));
double *wx = (double*) calloc(*binx * *n, sizeof(double));
double *uy = (double*) calloc(*biny + *soy, sizeof(double));
double *wy = (double*) calloc(*biny * *n, sizeof(double));
double e1x, e1y, mix, miy, largermi, mi;
knotVector(ux, *binx, *sox);
findWeights(x, ux, wx, *n, *sox, *binx, -1, -1);
free(ux);
knotVector(uy, *biny, *soy);
findWeights(y, uy, wy, *n, *soy, *biny, -1, -1);
free(uy);
e1x = entropy1(wx, *n, *binx);
e1y = entropy1(wy, *n, *biny);
mi = (e1x + e1y - entropy2DiffBins(wx, wy, *n, *binx, *biny));
if(*norm == 1){
mix = 2*e1x - entropy2(wx, wx, *n, *binx);
miy = 2*e1y - entropy2(wy, wy, *n, *biny);
largermi = mix > miy? mix : miy;
if(largermi == 0) largermi = 1;
mi /= largermi;
}
if(*negateMI == 1 && productMoment(x, y, *n) < 0) mi = -mi;
free(wx);
free(wy);
*miOut = mi;
}
void getAllMIWz(const double *data, const double* vec, double *mi, int m, int n, int bin, int so, int norm, int negateMI){
double *u = (double*) calloc(bin + so, sizeof(double));
double *y = (double*) calloc(n, sizeof(double));
double *wx = (double*) calloc(bin * n, sizeof(double));
double *wy = (double*) calloc(bin * n, sizeof(double));
int i, j;
double e1x, e1y, mix, miy, largerMI;
knotVector(u, bin, so);
findWeights(vec, u, wx, n, so, bin, -1, -1);
e1x = entropy1(wx, n, bin);
mix = 2*e1x - entropy2(wx, wx, n, bin);
for(i = 0; i < m; i++){
for(j = 0; j < n; j++) y[j] = data[i + j * m];
findWeights(y, u, wy, n, so, bin, -1, -1);
e1y = entropy1(wy, n, bin);
mi[i] = (e1x + e1y - entropy2(wx, wy, n, bin));
if(norm == 1){
largerMI = mix;
miy = 2*e1y - entropy2(wy, wy, n, bin);
if(miy > mix) largerMI = miy;
if(largerMI == 0) largerMI = 1;
mi[i] /= largerMI;
}
if(negateMI==1 && productMoment(y, vec, n) < 0) mi[i] = -mi[i];
}
free(wx);
free(wy);
free(u);
free(y);
}
void mi2vs1R(const double *x, const double *y, const double *z, int *n, int *bin, int *so, double *miOut, int *norm){
double *u = (double*) calloc(*bin + *so, sizeof(double));
double *wx = (double*) calloc(*bin * *n, sizeof(double));
double *wy = (double*) calloc(*bin * *n, sizeof(double));
double *wz = (double*) calloc(*bin * *n, sizeof(double));
double *wxy = (double*) calloc(*bin * *bin * *n, sizeof(double));
double e1xy, e1z, mixy, miz, largermi, mi;
knotVector(u, *bin, *so);
findWeights(x, u, wx, *n, *so, *bin, -1, -1);
findWeights(y, u, wy, *n, *so, *bin, -1, -1);
findWeights(z, u, wz, *n, *so, *bin, -1, -1);
combineWeights(wx, wy, wxy, *n, *bin);
free(wx);
free(wy);
e1xy = entropy1(wxy, *n, *bin * *bin);
e1z = entropy1(wz, *n, *bin);
mi = (e1xy + e1z - entropy2DiffBins(wxy, wz, *n, *bin * *bin, *bin));
if(*norm == 1){
mixy = 2*e1xy - entropy2(wxy, wxy, *n, *bin * *bin);
miz = 2*e1z - entropy2(wz, wz, *n, *bin);
largermi = mixy > miz ? mixy : miz;
if(largermi == 0) largermi = 1;
mi /= largermi;
}
free(wxy);
free(wz);
free(u);
*miOut = mi;
}
void mi2R(const double *x, const double *y, int *n, int *bin, int *so, double *miOut, int *norm, int *negateMI){
double *u = (double*) calloc(*bin + *so, sizeof(double));
double *wx = (double*) calloc(*bin * *n, sizeof(double));
double *wy = (double*) calloc(*bin * *n, sizeof(double));
double e1x, e1y, mix, miy, largerMI, mi;
knotVector(u, *bin, *so);
findWeights(x, u, wx, *n, *so, *bin, -1, -1);
findWeights(y, u, wy, *n, *so, *bin, -1, -1);
e1x = entropy1(wx, *n, *bin);
e1y = entropy1(wy, *n, *bin);
mi = (e1x + e1y - entropy2(wx, wy, *n, *bin));
if(*norm == 1){
mix = 2*e1x - entropy2(wx, wx, *n, *bin);
miy = 2*e1y - entropy2(wy, wy, *n, *bin);
largerMI = mix > miy ? mix:miy;
if(largerMI == 0) largerMI = 1;
mi /= largerMI;
}
if(*negateMI == 1 && productMoment(x, y, *n) < 0) mi = -mi;
free(wx);
free(wy);
free(u);
*miOut = mi;
}
double mi2(const double *x, const double *y, int n, int bin, int so, int norm, int negateMI){
double *u = (double*) calloc(bin + so, sizeof(double));
double *wx = (double*) calloc(bin * n, sizeof(double));
double *wy = (double*) calloc(bin * n, sizeof(double));
double e1x, e1y, mix, miy, largerMI, mi;
knotVector(u, bin, so);
findWeights(x, u, wx, n, so, bin, -1, -1);
findWeights(y, u, wy, n, so, bin, -1, -1);
e1x = entropy1(wx, n, bin);
e1y = entropy1(wy, n, bin);
mi = (e1x + e1y - entropy2(wx, wy, n, bin));
if(norm){
mix = 2*e1x - entropy2(wx, wx, n, bin);
miy = 2*e1y - entropy2(wy, wy, n, bin);
largerMI = mix > miy ? mix:miy;
if(largerMI == 0) largerMI = 1;
mi /= largerMI;
}
if(negateMI && productMoment(x, y, n) < 0) mi = -mi;
free(wx);
free(wy);
free(u);
return mi;
}
std::vector<double> RS_Spline::knotu(size_t num, size_t order) const{
if (data.knotslist.size() == num + order) {
//use custom knot vector
return data.knotslist;
}
std::vector<double> knotVector(num + order, 0.);
std::iota(knotVector.begin(), knotVector.end(), 0);
return knotVector;
}
void findWeightsR(const double *x, int *n, int *bin, int *so, double *wx){
double *u = (double*) calloc(*bin + *so, sizeof(double));
//double *wx = (double*) calloc(*bin * *n, sizeof(double));
knotVector(u, *bin, *so);
findWeights(x, u, wx, *n, *so, *bin, -1, -1);
//free(wx);
free(u);
}
/**
* Generates B-Spline open knot vector with multiplicity
* equal to the order at the ends.
*/
std::vector<double> RS_Spline::knot(size_t num, size_t order) const{
if (data.knotslist.size() == num + order) {
//use custom knot vector
return data.knotslist;
}
std::vector<double> knotVector(num + order, 0.);
//use uniform knots
std::iota(knotVector.begin() + order, knotVector.begin() + num + 1, 1);
std::fill(knotVector.begin() + num + 1, knotVector.end(), knotVector[num]);
return knotVector;
}
void entropy1R(const double *x, int *n, int *bin, int *so, double *eOut){
double *u = (double*) calloc(*bin + *so, sizeof(double));
double *wx = (double*) calloc(*bin * *n, sizeof(double));
double entropy;
knotVector(u, *bin, *so);
findWeights(x, u, wx, *n, *so, *bin, -1, -1);
entropy = entropy1(wx, *n, *bin);
free(wx);
free(u);
*eOut = entropy;
}
void centropy2R(const double *x, const double *y, int *n, int *bin, int *so, double *ceOut){
double *u = (double*) calloc(*bin + *so, sizeof(double));
double *wx = (double*) calloc(*bin * *n, sizeof(double));
double *wy = (double*) calloc(*bin * *n, sizeof(double));
double e1y, ce;
//H(X|Y) = H(X,Y) - H(Y)
knotVector(u, *bin, *so);
findWeights(x, u, wx, *n, *so, *bin, -1, -1);
findWeights(y, u, wy, *n, *so, *bin, -1, -1);
e1y = entropy1(wy, *n, *bin);
ce = entropy2(wx, wy, *n, *bin) - e1y;
free(wx);
free(wy);
free(u);
*ceOut = ce;
}
void getAllMI3Wz_R(const double *data, const double* vec1, const double* vec2, double *mi, int *m, int *n, int *bin, int *so, int *norm, int *negateMI){
double *u = (double*) calloc(*bin + *so, sizeof(double));
double *y = (double*) calloc(*n, sizeof(double));
double *wx = (double*) calloc(*bin * *n, sizeof(double));
double *wy = (double*) calloc(*bin * *n, sizeof(double));
double *wz = (double*) calloc(*bin * *n, sizeof(double));
int i, j;
double e1x, e1y, e1z, e2xy, e2xz, e2yz, e3xyz;
knotVector(u, *bin, *so);
findWeights(vec1, u, wx, *n, *so, *bin, -1, -1);
findWeights(vec2, u, wz, *n, *so, *bin, -1, -1);
e1x = entropy1(wx, *n, *bin);
e1z = entropy1(wz, *n, *bin);
e2xz = entropy2(wx, wz, *n, *bin);
//mix = 2*e1x - entropy2(wx, wx, *n, *bin);
for(i = 0; i < *m; i++){
for(j = 0; j < *n; j++) y[j] = data[i + j * (*m)];
findWeights(y, u, wy, *n, *so, *bin, -1, -1);
e1y = entropy1(wy, *n, *bin);
e2xy = entropy2(wx, wy, *n, *bin);
e2yz = entropy2(wy, wz, *n, *bin);
e3xyz= entropy3(wx, wy, wz, *n, *bin);
mi[i] = (e1x + e1y + e1z) - (e2xy+e2xz+e2yz) + e3xyz;
}
free(wx);
free(wy);
free(wz);
free(u);
free(y);
}
void mi3(const double *x, const double *y, const double *z, int *n, int *bin, int *so, double *miOut){
double *u = (double*) calloc(*bin + *so, sizeof(double));
double *wx = (double*) calloc(*bin * *n, sizeof(double));
double *wy = (double*) calloc(*bin * *n, sizeof(double));
double *wz = (double*) calloc(*bin * *n, sizeof(double));
// double *wxy = (double*) calloc(*bin * *bin * *n, sizeof(double));
// double *wxz = (double*) calloc(*bin * *bin * *n, sizeof(double));
// double *wyz = (double*) calloc(*bin * *bin * *n, sizeof(double));
knotVector(u, *bin, *so);
findWeights(x, u, wx, *n, *so, *bin, -1, -1);
findWeights(y, u, wy, *n, *so, *bin, -1, -1);
findWeights(z, u, wz, *n, *so, *bin, -1, -1);
// combineWeights(wx, wy, wxy, *n, *bin);
// combineWeights(wx, wz, wxz, *n, *bin);
// combineWeights(wy, wz, wyz, *n, *bin);
// I(X;Y;Z)= [H(X)+ H(Y) + H(Z] -[H(X,Y) +H(X,Z) +H(Y,Z)] + H(X,Y,Z)
double e1x, e1y, e1z, e2xy, e2xz, e2yz, e3xyz, mi;
e1x = entropy1(wx, *n, *bin);
e1y = entropy1(wy, *n, *bin);
e1z = entropy1(wz, *n, *bin);
e2xy = entropy2(wx, wy, *n, *bin);
e2xz = entropy2(wx, wz, *n, *bin);
e2yz = entropy2(wy, wz, *n, *bin);
e3xyz= entropy3(wx, wy, wz, *n, *bin);
mi = (e1x + e1y + e1z) - (e2xy+e2xz+e2yz) + e3xyz;
free(u);
free(wx);
free(wy);
free(wz);
*miOut = mi;
}