l2_differentiable_func.h

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#ifndef L2_DIFFERENTIABLE_FUNC
#define L2_DIFFERENTIABLE_FUNC
 
#include "sopt/differentiable_func.h"
 
namespace sopt
{
 
 
template<typename SCALAR>
class L2DifferentiableFunc : public DifferentiableFunc<SCALAR> 
{
    using t_Gradient = typename DifferentiableFunc<SCALAR>::t_Gradient;
    using Real = typename DifferentiableFunc<SCALAR>::Real;
    using Vector = typename DifferentiableFunc<SCALAR>::t_Vector;
    using LinearTransform = typename DifferentiableFunc<SCALAR>::t_LinearTransform;
 
    public:
    L2DifferentiableFunc (const Real sigma, 
                          const LinearTransform& Phi): LT(Phi), sigma(sigma)
    {
        this->step_size = 0.98*sigma*sigma;
    }
 
    void log_message() const override
    {
        SOPT_HIGH_LOG("Using L2 differentiable function f(x)");
    }
 
    void gradient(Vector &output, const Vector &image, const Vector &residual,
                  const LinearTransform &Phi) override 
    {
      output = Phi.adjoint() * (residual / (sigma * sigma));  // L2 norm
    }
 
    Real function(Vector const &image, Vector const &y, LinearTransform const &Phi) override
    {
        // Does this need to be modified to take into account MPI?
        Real Likelihood = 0.5 * ((Phi*image) - y).squaredNorm() / (sigma * sigma);
        return Likelihood;
    }
 
    private:
    Real sigma;
    const LinearTransform &LT;
};
 
} // namespace sopt
#endif