DifferentialEvolution::DifferentialEvolution() : PopulationBasedOptimisationAlgorithm() { setInitialisingFunctions({{ [this]( const arma::uword numberOfDimensions_, const arma::mat& initialParameters_) { population_ = initialParameters_; return initialParameters_; }, "Population initialisation" }, { [this]( const arma::uword numberOfDimensions_, const arma::mat& initialParameters_) { localBestObjectiveValues_.set_size(populationSize_); localBestObjectiveValues_.fill(std::numeric_limits<double>::infinity()); return initialParameters_; }, "Local best objective values initialisation" } }); setNextParametersFunctions({{ [this]( const arma::uword numberOfDimensions_, const arma::mat& parameters_, const arma::rowvec& objectiveValues_, const arma::rowvec& differences_) { for (arma::uword n = 0; n < populationSize_; ++n) { if (objectiveValues_(n) < localBestObjectiveValues_(n)) { population_.col(n) = parameters_.col(n); } } arma::mat populationCandidates(arma::size(population_)); for (arma::uword n = 0; n < populationSize_; ++n) { arma::uvec randomIndices = randomPermutationVector(populationSize_, 3); populationCandidates.col(n) = population_.col(randomIndices(0)) + scalingFactor_ * (population_.col(randomIndices(1)) - population_.col(randomIndices(2))); } return populationCandidates; }, "Differential evolution" } }); setScalingFactor(0.5); }
template<int OtherStorage, typename SparseMatrixType> void sparse_permutations(const SparseMatrixType& ref) { typedef typename SparseMatrixType::Index Index; const Index rows = ref.rows(); const Index cols = ref.cols(); typedef typename SparseMatrixType::Scalar Scalar; typedef typename SparseMatrixType::Index Index; typedef SparseMatrix<Scalar, OtherStorage, Index> OtherSparseMatrixType; typedef Matrix<Scalar,Dynamic,Dynamic> DenseMatrix; typedef Matrix<Index,Dynamic,1> VectorI; double density = (std::max)(8./(rows*cols), 0.01); SparseMatrixType mat(rows, cols), up(rows,cols), lo(rows,cols); OtherSparseMatrixType res; DenseMatrix mat_d = DenseMatrix::Zero(rows, cols), up_sym_d, lo_sym_d, res_d; initSparse<Scalar>(density, mat_d, mat, 0); up = mat.template triangularView<Upper>(); lo = mat.template triangularView<Lower>(); up_sym_d = mat_d.template selfadjointView<Upper>(); lo_sym_d = mat_d.template selfadjointView<Lower>(); VERIFY_IS_APPROX(mat, mat_d); VERIFY_IS_APPROX(up, DenseMatrix(mat_d.template triangularView<Upper>())); VERIFY_IS_APPROX(lo, DenseMatrix(mat_d.template triangularView<Lower>())); PermutationMatrix<Dynamic> p, p_null; VectorI pi; randomPermutationVector(pi, cols); p.indices() = pi; res = mat*p; res_d = mat_d*p; VERIFY(res.isApprox(res_d) && "mat*p"); res = p*mat; res_d = p*mat_d; VERIFY(res.isApprox(res_d) && "p*mat"); res = mat*p.inverse(); res_d = mat*p.inverse(); VERIFY(res.isApprox(res_d) && "mat*inv(p)"); res = p.inverse()*mat; res_d = p.inverse()*mat_d; VERIFY(res.isApprox(res_d) && "inv(p)*mat"); res = mat.twistedBy(p); res_d = (p * mat_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "p*mat*inv(p)"); res = mat.template selfadjointView<Upper>().twistedBy(p_null); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint upper to full"); res = mat.template selfadjointView<Lower>().twistedBy(p_null); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint lower to full"); res = up.template selfadjointView<Upper>().twistedBy(p_null); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "upper selfadjoint to full"); res = lo.template selfadjointView<Lower>().twistedBy(p_null); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "lower selfadjoint full"); res = mat.template selfadjointView<Upper>(); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint upper to full"); res = mat.template selfadjointView<Lower>(); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "full selfadjoint lower to full"); res = up.template selfadjointView<Upper>(); res_d = up_sym_d; VERIFY(res.isApprox(res_d) && "upper selfadjoint to full"); res = lo.template selfadjointView<Lower>(); res_d = lo_sym_d; VERIFY(res.isApprox(res_d) && "lower selfadjoint full"); res.template selfadjointView<Upper>() = mat.template selfadjointView<Upper>(); res_d = up_sym_d.template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper to upper"); res.template selfadjointView<Lower>() = mat.template selfadjointView<Upper>(); res_d = up_sym_d.template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper to lower"); res.template selfadjointView<Upper>() = mat.template selfadjointView<Lower>(); res_d = lo_sym_d.template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower to upper"); res.template selfadjointView<Lower>() = mat.template selfadjointView<Lower>(); res_d = lo_sym_d.template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower to lower"); res.template selfadjointView<Upper>() = mat.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to upper"); res.template selfadjointView<Upper>() = mat.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to upper"); res.template selfadjointView<Lower>() = mat.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to lower"); res.template selfadjointView<Lower>() = mat.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to lower"); res.template selfadjointView<Upper>() = up.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to upper"); res.template selfadjointView<Upper>() = lo.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Upper>(); VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to upper"); res.template selfadjointView<Lower>() = lo.template selfadjointView<Lower>().twistedBy(p); res_d = ((p * lo_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to lower"); res.template selfadjointView<Lower>() = up.template selfadjointView<Upper>().twistedBy(p); res_d = ((p * up_sym_d) * p.inverse()).eval().template triangularView<Lower>(); VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to lower"); res = mat.template selfadjointView<Upper>().twistedBy(p); res_d = (p * up_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "full selfadjoint upper twisted to full"); res = mat.template selfadjointView<Lower>().twistedBy(p); res_d = (p * lo_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "full selfadjoint lower twisted to full"); res = up.template selfadjointView<Upper>().twistedBy(p); res_d = (p * up_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "upper selfadjoint twisted to full"); res = lo.template selfadjointView<Lower>().twistedBy(p); res_d = (p * lo_sym_d) * p.inverse(); VERIFY(res.isApprox(res_d) && "lower selfadjoint twisted to full"); }