DataGeneratorClassification

class DataGeneratorClassification : public DataGeneratorBase

Subclassed by DataGeneratorClassification1D, DataGeneratorClassification2D

Public Functions

DataGeneratorClassification(Config *settings)

Class constructor. Generates training data for neural network approaches using spherical harmonics and an entropy functional and the quadrature specified by the options file.

Parameters:

settings – config class with global information

virtual void ComputeTrainingData() override

computes the training data set. Realizable set is sampled uniformly. Prototype: 1D, u in [0,100]

Protected Functions

virtual void PrintTrainingData() override = 0

: Print computed training data to csv file and screen

virtual void ComputeMoments() override = 0

Pre-Compute Moments at all quadrature points.

void ClassifyDensity()

Checks, if the pdf of each Lagrange multiplier is within the KL distance of the maxwellian.

double ComputeKLDivergence(Vector &f1, Vector &f2)

Computes the Kullback Leibler Divergence of the pdfs f1 and f2.

Both pdfs are evaluated at their quadrature points and must have length _nq.

Parameters:

• f1 – Evaluation of the first pdf at the quadrature points.

• f2 – Evaluation of the second pdf at the quadrature points.

Vector ComputeMaxwellian(double rho, double u, double T)

Evaluates the Maxwellian at the quadrature points of _quadrature.

Computes the kinetic density from the given Lagrange multipliers alpha at the quadrature points. f = exp(alpha*m) and stores it in _kineticDensity

Parameters:

• rho – Density.

• u – Bulk velocity.

• T – Temperature.

void ReconstructKineticDensity()

Sample Lagrange multipliers alpha, with mean values corresponding to a maxwellian distribution.

virtual void SampleMultiplierAlpha() override = 0

Sample Lagrange multipliers alpha.

Protected Attributes

Vector _pdfClassification

One-hot vector with classification, if kinetic pdf is within or outside KL Divergence threshold.

Vector _maxwellian

Maxwellian pdf evaluated at the quadrature points.

double _maxVelocity

Bound of the velocity domain (1D)

VectorVector _kineticDensity

vector if sampled kinetic densities, evaluated at quadrature points