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Merged
merged 7 commits into from
Feb 5, 2025
Merged

Squared singular values to calculate POD variance #306

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d03d6c9
Squared singular values
axla-io Feb 3, 2025
9d2bf98
Added command line option for squared singular values
axla-io Feb 4, 2025
10958cf
Added command line options for nonlinear elasticity
axla-io Feb 4, 2025
f0f146a
Fixed typos
axla-io Feb 4, 2025
1fbbf99
astyle
axla-io Feb 4, 2025
89caae4
comma spacing
axla-io Feb 5, 2025
b5020b2
added missing spaces before comma
axla-io Feb 5, 2025
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15 changes: 9 additions & 6 deletions examples/prom/mixed_nonlinear_diffusion.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -428,7 +428,7 @@ CAROM::Matrix* GetFirstColumns(const int N, const CAROM::Matrix* A)

// TODO: move this to the library?
void MergeBasis(const int dimFOM, const int nparam, const int max_num_snapshots,
std::string name)
std::string name, bool squareSV)
{
MFEM_VERIFY(nparam > 0, "Must specify a positive number of parameter sets");

Expand All @@ -448,7 +448,7 @@ void MergeBasis(const int dimFOM, const int nparam, const int max_num_snapshots,
generator.endSamples(); // save the merged basis file

int cutoff = 0;
generator.finalSummary(1e-4, cutoff, "mergedSV_" + name);
generator.finalSummary(1e-4, cutoff, "mergedSV_" + name, 0, squareSV);
}

// TODO: move this to the library?
Expand Down Expand Up @@ -512,6 +512,7 @@ int main(int argc, char *argv[])
bool use_eqp = false;
bool writeSampleMesh = false;
int num_samples_req = -1;
bool squareSV = true;

bool pointwiseSnapshots = false;
int pwx = 0;
Expand Down Expand Up @@ -577,6 +578,8 @@ int main(int argc, char *argv[])
"Enable or disable the online phase.");
args.AddOption(&merge, "-merge", "--merge", "-no-merge", "--no-merge",
"Enable or disable the merge phase.");
args.AddOption(&squareSV, "-sqsv", "--square-sv", "-no-sqsv", "--no-square-sv",
"Use singular values squared in energy fraction.");
args.AddOption(&samplingType, "-hrtype", "--hrsamplingtype",
"Sampling type for hyperreduction.");
args.AddOption(&num_samples_req, "-nsr", "--nsr",
Expand Down Expand Up @@ -705,13 +708,13 @@ int main(int argc, char *argv[])
totalTimer.Clear();
totalTimer.Start();

MergeBasis(R_space.GetTrueVSize(), nsets, max_num_snapshots, "R");
MergeBasis(R_space.GetTrueVSize(), nsets, max_num_snapshots, "FR");
MergeBasis(W_space.GetTrueVSize(), nsets, max_num_snapshots, "W");
MergeBasis(R_space.GetTrueVSize(), nsets, max_num_snapshots, "R", squareSV);
MergeBasis(R_space.GetTrueVSize(), nsets, max_num_snapshots, "FR", squareSV);
MergeBasis(W_space.GetTrueVSize(), nsets, max_num_snapshots, "W", squareSV);

if (hyperreduce_source)
{
MergeBasis(W_space.GetTrueVSize(), nsets, max_num_snapshots, "S");
MergeBasis(W_space.GetTrueVSize(), nsets, max_num_snapshots, "S", squareSV);
}

totalTimer.Stop();
Expand Down
13 changes: 8 additions & 5 deletions examples/prom/nonlinear_elasticity_global_rom.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -308,7 +308,7 @@ CAROM::Matrix *GetFirstColumns(const int N, const CAROM::Matrix *A)

// TODO: move this to the library?
void MergeBasis(const int dimFOM, const int nparam, const int max_num_snapshots,
std::string name)
std::string name, bool squareSV)
{
MFEM_VERIFY(nparam > 0, "Must specify a positive number of parameter sets");

Expand All @@ -328,7 +328,7 @@ void MergeBasis(const int dimFOM, const int nparam, const int max_num_snapshots,
generator.endSamples(); // save the merged basis file

int cutoff = 0;
generator.finalSummary(1e-7, cutoff, "mergedSV_" + name + ".txt");
generator.finalSummary(1e-7, cutoff, "mergedSV_" + name + ".txt", 0, squareSV);
}

const CAROM::Matrix *GetSnapshotMatrix(const int dimFOM, const int nparam,
Expand Down Expand Up @@ -416,6 +416,7 @@ int main(int argc, char *argv[])
bool x_base_only = false;
int num_samples_req = -1;
const char *samplingType = "gnat";
bool squareSV = true;

int nsets = 0;
int id_param = 0;
Expand Down Expand Up @@ -478,6 +479,8 @@ int main(int argc, char *argv[])
"Enable or disable the online phase.");
args.AddOption(&merge, "-merge", "--merge", "-no-merge", "--no-merge",
"Enable or disable the merge phase.");
args.AddOption(&squareSV, "-sqsv", "--square-sv", "-no-sqsv", "--no-square-sv",
"Use singular values squared in energy fraction.");
args.AddOption(&samplingType, "-hrtype", "--hrsamplingtype",
"Sampling type for hyperreduction.");
args.AddOption(&num_samples_req, "-nsr", "--nsr",
Expand Down Expand Up @@ -643,11 +646,11 @@ int main(int argc, char *argv[])
// Merge bases
if (x_base_only == false)
{
MergeBasis(true_size, nsets, max_num_snapshots, "V");
MergeBasis(true_size, nsets, max_num_snapshots, "V", squareSV);
}

MergeBasis(true_size, nsets, max_num_snapshots, "X");
MergeBasis(true_size, nsets, max_num_snapshots, "H");
MergeBasis(true_size, nsets, max_num_snapshots, "X", squareSV);
MergeBasis(true_size, nsets, max_num_snapshots, "H", squareSV);

totalTimer.Stop();
if (myid == 0)
Expand Down
8 changes: 5 additions & 3 deletions lib/linalg/BasisGenerator.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -312,7 +312,7 @@ BasisGenerator::finalSummary(
const double energyFractionThreshold,
int & cutoff,
const std::string & cutoffOutputPath,
const int first_sv)
const int first_sv, const bool squareSV)
{
const int rom_dim = getSpatialBasis()->numColumns();
const Vector* sing_vals = getSingularValues();
Expand All @@ -321,7 +321,8 @@ BasisGenerator::finalSummary(

double sum = 0.0;
for (int sv = first_sv; sv < sing_vals->dim(); ++sv) {
sum += (*sing_vals)(sv);
const double s = (*sing_vals)(sv);
sum += squareSV ? s * s : s;
}

int p = std::floor(-std::log10(energyFractionThreshold));
Expand All @@ -345,7 +346,8 @@ BasisGenerator::finalSummary(
}

for (int sv = first_sv; sv < sing_vals->dim(); ++sv) {
partialSum += (*sing_vals)(sv);
const double s = (*sing_vals)(sv);
partialSum += squareSV ? s * s : s;
for (int i = count; i < p; ++i)
{
if (partialSum / sum > 1.0 - std::pow(10, -1 - i))
Expand Down
2 changes: 1 addition & 1 deletion lib/linalg/BasisGenerator.h
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Original file line number Diff line number Diff line change
Expand Up @@ -260,7 +260,7 @@ class BasisGenerator
const double energyFractionThreshold,
int & cutoff,
const std::string & cutoffOutputPath = "",
const int first_sv = 0);
const int first_sv = 0, const bool squareSV = true);

protected:
/**
Expand Down