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NonDACVSampling Class Reference

Perform Approximate Control Variate Monte Carlo sampling for UQ. More...

Inheritance diagram for NonDACVSampling:
NonDNonHierarchSampling NonDEnsembleSampling NonDSampling NonD Analyzer Iterator NonDGenACVSampling

Public Member Functions

 NonDACVSampling (ProblemDescDB &problem_db, Model &model)
 standard constructor More...
 
 ~NonDACVSampling ()
 destructor
 
- Public Member Functions inherited from NonDNonHierarchSampling
 NonDNonHierarchSampling (ProblemDescDB &problem_db, Model &model)
 standard constructor More...
 
 ~NonDNonHierarchSampling ()
 destructor
 
- Public Member Functions inherited from NonDEnsembleSampling
 NonDEnsembleSampling (ProblemDescDB &problem_db, Model &model)
 standard constructor More...
 
 ~NonDEnsembleSampling ()
 destructor (virtual declaration should be redundant with ~Iterator, but this is top of MLMF diamond so doesn't hurt to be explicit)
 
bool resize ()
 reinitializes iterator based on new variable size
 
- Public Member Functions inherited from NonDSampling
 NonDSampling (Model &model, const RealMatrix &sample_matrix)
 alternate constructor for evaluating and computing statistics for the provided set of samples More...
 
 ~NonDSampling ()
 destructor
 
void compute_statistics (const RealMatrix &vars_samples, const IntResponseMap &resp_samples)
 For the input sample set, computes mean, standard deviation, and probability/reliability/response levels (aleatory uncertainties) or intervals (epsitemic or mixed uncertainties)
 
void compute_intervals (RealRealPairArray &extreme_fns)
 called by compute_statistics() to calculate min/max intervals using allResponses
 
void compute_intervals (const IntResponseMap &samples)
 called by compute_statistics() to calculate extremeValues from samples
 
void compute_intervals (RealRealPairArray &extreme_fns, const IntResponseMap &samples)
 called by compute_statistics() to calculate min/max intervals using samples
 
void compute_moments (const RealVectorArray &fn_samples)
 calculates sample moments from a matrix of observations for a set of QoI
 
void compute_moments (const IntResponseMap &samples)
 calculate sample moments and confidence intervals from a map of response observations
 
void compute_moments (const IntResponseMap &samples, RealMatrix &moment_stats, RealMatrix &moment_grads, RealMatrix &moment_conf_ints, short moments_type, const StringArray &labels)
 convert IntResponseMap to RealVectorArray and invoke helpers
 
void compute_moment_gradients (const RealVectorArray &fn_samples, const RealMatrixArray &grad_samples, const RealMatrix &moment_stats, RealMatrix &moment_grads, short moments_type)
 compute moment_grads from function and gradient samples
 
void compute_moment_confidence_intervals (const RealMatrix &moment_stats, RealMatrix &moment_conf_ints, const SizetArray &sample_counts, short moments_type)
 compute moment confidence intervals from moment values
 
void archive_moments (size_t inc_id=0)
 archive moment statistics in results DB
 
void archive_moment_confidence_intervals (size_t inc_id=0)
 archive moment confidence intervals in results DB
 
void archive_std_regress_coeffs ()
 archive standardized regression coefficients in results DB
 
void archive_extreme_responses (size_t inc_id=0)
 archive extreme values (epistemic result) in results DB
 
void compute_level_mappings (const IntResponseMap &samples)
 called by compute_statistics() to calculate CDF/CCDF mappings of z to p/beta and of p/beta to z as well as PDFs More...
 
void print_statistics (std::ostream &s) const
 prints the statistics computed in compute_statistics()
 
void print_intervals (std::ostream &s) const
 prints the intervals computed in compute_intervals() with default qoi_type and moment_labels
 
void print_intervals (std::ostream &s, String qoi_type, const StringArray &interval_labels) const
 prints the intervals computed in compute_intervals()
 
void print_moments (std::ostream &s) const
 prints the moments computed in compute_moments() with default qoi_type and moment_labels
 
void print_moments (std::ostream &s, String qoi_type, const StringArray &moment_labels) const
 prints the moments computed in compute_moments()
 
void print_wilks_stastics (std::ostream &s) const
 prints the Wilks stastics
 
void print_tolerance_intervals_statistics (std::ostream &s) const
 prints the tolerance intervals stastics
 
void archive_tolerance_intervals (size_t inc_id=0)
 archive the tolerance intervals statistics in results DB
 
void update_final_statistics ()
 update finalStatistics from minValues/maxValues, momentStats, and computedProbLevels/computedRelLevels/computedRespLevels
 
void transform_samples (Model &src_model, Model &tgt_model, bool x_to_u=true)
 transform allSamples using configuration data from the source and target models
 
void transform_samples (Pecos::ProbabilityTransformation &nataf, bool x_to_u=true)
 alternate version to transform allSamples. This is needed since random variable distribution parameters are not updated until run time and an imported sample_matrix is typically in x-space. More...
 
void transform_samples (Pecos::ProbabilityTransformation &nataf, RealMatrix &sample_matrix, bool x_to_u=true)
 transform the specified samples matrix from x to u or u to x, assuming identical view and ids
 
void transform_samples (Pecos::ProbabilityTransformation &nataf, RealMatrix &sample_matrix, SizetMultiArrayConstView src_cv_ids, SizetMultiArrayConstView tgt_cv_ids, bool x_to_u=true)
 transform the specified samples matrix from x to u or u to x
 
unsigned short sampling_scheme () const
 return sampleType
 
const String & random_number_generator () const
 return rngName
 
- Public Member Functions inherited from NonD
void requested_levels (const RealVectorArray &req_resp_levels, const RealVectorArray &req_prob_levels, const RealVectorArray &req_rel_levels, const RealVectorArray &req_gen_rel_levels, short resp_lev_tgt, short resp_lev_tgt_reduce, bool cdf_flag, bool pdf_output)
 set requestedRespLevels, requestedProbLevels, requestedRelLevels, requestedGenRelLevels, respLevelTarget, cdfFlag, and pdfOutput (used in combination with alternate ctors)
 
void print_level_mappings (std::ostream &s) const
 prints the z/p/beta/beta* mappings reflected in {requested,computed}{Resp,Prob,Rel,GenRel}Levels for default qoi_type and qoi_labels
 
void print_level_mappings (std::ostream &s, String qoi_type, const StringArray &qoi_labels) const
 prints the z/p/beta/beta* mappings reflected in {requested,computed}{Resp,Prob,Rel,GenRel}Levels More...
 
void print_level_mappings (std::ostream &s, const RealVector &level_maps, bool moment_offset, const String &prepend="")
 print level mapping statistics using optional pre-pend More...
 
bool pdf_output () const
 get pdfOutput
 
void pdf_output (bool output)
 set pdfOutput
 
short final_moments_type () const
 get finalMomentsType
 
void final_moments_type (short type)
 set finalMomentsType
 
- Public Member Functions inherited from Analyzer
const VariablesArray & all_variables ()
 return the complete set of evaluated variables
 
const RealMatrix & all_samples ()
 return the complete set of evaluated samples
 
const IntResponseMap & all_responses () const
 return the complete set of computed responses
 
- Public Member Functions inherited from Iterator
 Iterator (std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 default constructor More...
 
 Iterator (ProblemDescDB &problem_db, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 standard envelope constructor, which constructs its own model(s) More...
 
 Iterator (ProblemDescDB &problem_db, Model &model, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 alternate envelope constructor which uses the ProblemDescDB but accepts a model from a higher level (meta-iterator) context, instead of constructing its own More...
 
 Iterator (const String &method_string, Model &model, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 alternate envelope constructor for instantiations by name without the ProblemDescDB More...
 
 Iterator (const Iterator &iterator)
 copy constructor More...
 
virtual ~Iterator ()
 destructor
 
Iterator operator= (const Iterator &iterator)
 assignment operator
 
virtual void derived_free_communicators (ParLevLIter pl_iter)
 derived class contributions to freeing the communicators associated with this Iterator instance
 
virtual void post_input ()
 read tabular data for post-run mode
 
virtual void reset ()
 restore initial state for repeated sub-iterator executions
 
virtual void nested_variable_mappings (const SizetArray &c_index1, const SizetArray &di_index1, const SizetArray &ds_index1, const SizetArray &dr_index1, const ShortArray &c_target2, const ShortArray &di_target2, const ShortArray &ds_target2, const ShortArray &dr_target2)
 set primaryA{CV,DIV,DRV}MapIndices, secondaryA{CV,DIV,DRV}MapTargets within derived Iterators; supports computation of higher-level sensitivities in nested contexts (e.g., derivatives of statistics w.r.t. inserted design variables)
 
virtual void nested_response_mappings (const RealMatrix &primary_coeffs, const RealMatrix &secondary_coeffs)
 set primaryResponseCoefficients, secondaryResponseCoefficients within derived Iterators; Necessary for scalarization case in MLMC NonDMultilevelSampling to map scalarization in nested context
 
virtual void initialize_iterator (int job_index)
 used by IteratorScheduler to set the starting data for a run
 
virtual void pack_parameters_buffer (MPIPackBuffer &send_buffer, int job_index)
 used by IteratorScheduler to pack starting data for an iterator run
 
virtual void unpack_parameters_buffer (MPIUnpackBuffer &recv_buffer, int job_index)
 used by IteratorScheduler to unpack starting data for an iterator run
 
virtual void unpack_parameters_initialize (MPIUnpackBuffer &recv_buffer, int job_index)
 used by IteratorScheduler to unpack starting data and initialize an iterator run
 
virtual void pack_results_buffer (MPIPackBuffer &send_buffer, int job_index)
 used by IteratorScheduler to pack results data from an iterator run
 
virtual void unpack_results_buffer (MPIUnpackBuffer &recv_buffer, int job_index)
 used by IteratorScheduler to unpack results data from an iterator run
 
virtual void update_local_results (int job_index)
 used by IteratorScheduler to update local results arrays
 
virtual bool accepts_multiple_points () const
 indicates if this iterator accepts multiple initial points. Default return is false. Override to return true if appropriate.
 
virtual void initial_point (const Variables &pt)
 sets the initial point for this iterator (user-functions mode for which Model updating is not used)
 
virtual void initial_point (const RealVector &pt)
 sets the initial point (active continuous variables) for this iterator (user-functions mode for which Model updating is not used)
 
virtual void initial_points (const VariablesArray &pts)
 sets the multiple initial points for this iterator. This should only be used if accepts_multiple_points() returns true.
 
virtual void variable_bounds (const RealVector &cv_lower_bnds, const RealVector &cv_upper_bnds)
 assign nonlinear inequality and equality constraint allowables for this iterator (user-functions mode for which Model updating is not used)
 
virtual void linear_constraints (const RealMatrix &lin_ineq_coeffs, const RealVector &lin_ineq_lb, const RealVector &lin_ineq_ub, const RealMatrix &lin_eq_coeffs, const RealVector &lin_eq_tgt)
 assign linear inequality and linear equality constraints for this iterator (user-functions mode for which Model updating is not used)
 
virtual void nonlinear_constraints (const RealVector &nln_ineq_lb, const RealVector &nln_ineq_ub, const RealVector &nln_eq_tgt)
 assign nonlinear inequality and equality constraint allowables for this iterator (user-functions mode for which Model updating is not used)
 
virtual void initialize_graphics (int iterator_server_id=1)
 initialize the 2D graphics window and the tabular graphics data More...
 
virtual void check_sub_iterator_conflict ()
 detect any conflicts due to recursive use of the same Fortran solver More...
 
virtual void sampling_increment ()
 increment to next in sequence of refinement samples
 
virtual IntIntPair estimate_partition_bounds ()
 estimate the minimum and maximum partition sizes that can be utilized by this Iterator
 
virtual void declare_sources ()
 Declare sources to the evaluations database.
 
void init_communicators (ParLevLIter pl_iter)
 initialize the communicators associated with this Iterator instance
 
void set_communicators (ParLevLIter pl_iter)
 set the communicators associated with this Iterator instance
 
void free_communicators (ParLevLIter pl_iter)
 free the communicators associated with this Iterator instance
 
void resize_communicators (ParLevLIter pl_iter, bool reinit_comms)
 Resize the communicators. This is called from the letter's resize()
 
void parallel_configuration_iterator (ParConfigLIter pc_iter)
 set methodPCIter
 
ParConfigLIter parallel_configuration_iterator () const
 return methodPCIter
 
void parallel_configuration_iterator_map (std::map< size_t, ParConfigLIter > pci_map)
 set methodPCIterMap
 
std::map< size_t, ParConfigLIter > parallel_configuration_iterator_map () const
 return methodPCIterMap
 
void run (ParLevLIter pl_iter)
 invoke set_communicators(pl_iter) prior to run()
 
void run ()
 orchestrate initialize/pre/core/post/finalize phases More...
 
void assign_rep (std::shared_ptr< Iterator > iterator_rep)
 replaces existing letter with a new one More...
 
void iterated_model (const Model &model)
 set the iteratedModel (iterators and meta-iterators using a single model instance)
 
Modeliterated_model ()
 return the iteratedModel (iterators & meta-iterators using a single model instance)
 
ProblemDescDBproblem_description_db () const
 return the problem description database (probDescDB)
 
ParallelLibraryparallel_library () const
 return the parallel library (parallelLib)
 
void method_name (unsigned short m_name)
 set the method name to an enumeration value
 
unsigned short method_name () const
 return the method name via its native enumeration value
 
void method_string (const String &m_str)
 set the method name by string
 
String method_string () const
 return the method name by string
 
String method_enum_to_string (unsigned short method_enum) const
 convert a method name enumeration value to a string
 
unsigned short method_string_to_enum (const String &method_str) const
 convert a method name string to an enumeration value
 
String submethod_enum_to_string (unsigned short submethod_enum) const
 convert a sub-method name enumeration value to a string
 
const String & method_id () const
 return the method identifier (methodId)
 
int maximum_evaluation_concurrency () const
 return the maximum evaluation concurrency supported by the iterator
 
void maximum_evaluation_concurrency (int max_conc)
 set the maximum evaluation concurrency supported by the iterator
 
size_t maximum_iterations () const
 return the maximum iterations for this iterator
 
void maximum_iterations (size_t max_iter)
 set the maximum iterations for this iterator
 
void convergence_tolerance (Real conv_tol)
 set the method convergence tolerance (convergenceTol)
 
Real convergence_tolerance () const
 return the method convergence tolerance (convergenceTol)
 
void output_level (short out_lev)
 set the method output level (outputLevel)
 
short output_level () const
 return the method output level (outputLevel)
 
void summary_output (bool summary_output_flag)
 Set summary output control; true enables evaluation/results summary.
 
size_t num_final_solutions () const
 return the number of solutions to retain in best variables/response arrays
 
void num_final_solutions (size_t num_final)
 set the number of solutions to retain in best variables/response arrays
 
void active_set (const ActiveSet &set)
 set the default active set (for use with iterators that employ evaluate_parameter_sets())
 
const ActiveSetactive_set () const
 return the default active set (used by iterators that employ evaluate_parameter_sets())
 
void active_set_request_vector (const ShortArray &asv)
 return the default active set request vector (used by iterators that employ evaluate_parameter_sets())
 
const ShortArray & active_set_request_vector () const
 return the default active set request vector (used by iterators that employ evaluate_parameter_sets())
 
void active_set_request_values (short asv_val)
 return the default active set request vector (used by iterators that employ evaluate_parameter_sets())
 
void sub_iterator_flag (bool si_flag)
 set subIteratorFlag (and update summaryOutputFlag if needed)
 
bool is_null () const
 function to check iteratorRep (does this envelope contain a letter?)
 
std::shared_ptr< Iteratoriterator_rep () const
 returns iteratorRep for access to derived class member functions that are not mapped to the top Iterator level
 
virtual void eval_tag_prefix (const String &eval_id_str)
 set the hierarchical eval ID tag prefix More...
 
std::shared_ptr< TraitsBasetraits () const
 returns methodTraits for access to derived class member functions that are not mapped to the top TraitsBase level
 
bool top_level ()
 Return whether the iterator is the top level iterator.
 
void top_level (bool tflag)
 Set the iterator's top level flag.
 

Protected Member Functions

void core_run ()
 
Real estimator_accuracy_metric ()
 
void print_variance_reduction (std::ostream &s)
 
void estimator_variance_ratios (const RealVector &r_and_N, RealVector &estvar_ratios)
 compute estimator variance ratios from HF samples and oversample ratios
 
void augment_linear_ineq_constraints (RealMatrix &lin_ineq_coeffs, RealVector &lin_ineq_lb, RealVector &lin_ineq_ub)
 augment linear inequality constraints as required by derived algorithm
 
void initialize_acv_sums (RealMatrix &sum_L, RealVector &sum_H, RealSymMatrixArray &sum_LL, RealMatrix &sum_LH, RealVector &sum_HH)
 
void initialize_acv_sums (IntRealMatrixMap &sum_L_baseline, IntRealVectorMap &sum_H, IntRealSymMatrixArrayMap &sum_LL, IntRealMatrixMap &sum_LH, RealVector &sum_HH)
 
void evaluate_pilot (RealMatrix &sum_L_pilot, RealVector &sum_H_pilot, RealSymMatrixArray &sum_LL_pilot, RealMatrix &sum_LH_pilot, RealVector &sum_HH_pilot, SizetArray &N_shared_pilot, bool incr_cost)
 
void compute_LH_statistics (RealMatrix &sum_L_pilot, RealVector &sum_H_pilot, RealSymMatrixArray &sum_LL_pilot, RealMatrix &sum_LH_pilot, RealVector &sum_HH_pilot, SizetArray &N_shared_pilot, RealMatrix &var_L, RealVector &var_H, RealSymMatrixArray &cov_LL, RealMatrix &cov_LH)
 
void accumulate_acv_sums (IntRealMatrixMap &sum_L_baseline, IntRealVectorMap &sum_H, IntRealSymMatrixArrayMap &sum_LL, IntRealMatrixMap &sum_LH, RealVector &sum_HH, SizetArray &N_shared)
 
void accumulate_acv_sums (IntRealMatrixMap &sum_L_refined, Sizet2DArray &N_L_refined, const SizetArray &approx_sequence, size_t approx_start, size_t approx_end)
 
void accumulate_acv_sums (IntRealMatrixMap &sum_L, Sizet2DArray &N_L_actual, const RealVector &fn_vals, size_t approx)
 
bool acv_approx_increment (const DAGSolutionData &soln, const Sizet2DArray &N_L_actual_refined, SizetArray &N_L_alloc_refined, size_t iter, const SizetArray &approx_sequence, size_t start, size_t end)
 
void acv_raw_moments (IntRealMatrixMap &sum_L_shared, IntRealMatrixMap &sum_L_refined, IntRealVectorMap &sum_H, IntRealSymMatrixArrayMap &sum_LL, IntRealMatrixMap &sum_LH, const RealVector &avg_eval_ratios, const SizetArray &N_shared, const Sizet2DArray &N_L_refined, RealMatrix &H_raw_mom)
 
void compute_acv_control_covariances (RealMatrix &sum_L, Real sum_H_q, RealSymMatrix &sum_LL_q, RealMatrix &sum_LH, size_t N_shared_q, size_t qoi, RealSymMatrix &cov_LL, RealMatrix &cov_LH)
 
void update_projected_lf_samples (Real avg_hf_targets, const RealVector &avg_eval_ratios, const SizetArray &N_H_actual, size_t &N_H_alloc, Real &delta_equiv_hf)
 
void update_projected_samples (Real avg_hf_targets, const RealVector &avg_eval_ratios, const SizetArray &N_H_actual, size_t &N_H_alloc, size_t &delta_N_H_actual, Real &delta_equiv_hf)
 
Real update_hf_target (const RealVector &avg_eval_ratios, const RealVector &var_H, const RealVector &estvar0)
 
void covariance_to_correlation_sq (const RealMatrix &cov_LH, const RealMatrix &var_L, const RealVector &var_H, RealMatrix &rho2_LH)
 
void cache_mc_reference ()
 
void analytic_initialization_from_mfmc (Real avg_N_H, DAGSolutionData &soln)
 
void pick_mfmc_cvmc_solution (const DAGSolutionData &mf_soln, size_t mf_samp, const DAGSolutionData &cv_soln, size_t cv_samp, DAGSolutionData &soln, size_t &num_samp)
 
void print_computed_solution (std::ostream &s, const DAGSolutionData &soln)
 
- Protected Member Functions inherited from NonDNonHierarchSampling
void pre_run ()
 pre-run portion of run (optional); re-implemented by Iterators which can generate all Variables (parameter sets) a priori More...
 
unsigned short uses_method () const
 return name of active optimizer method
 
void method_recourse ()
 perform a numerical solver method switch due to a detected conflict
 
void shared_increment (size_t iter)
 
void shared_approx_increment (size_t iter)
 
bool approx_increment (size_t iter, const SizetArray &approx_sequence, size_t start, size_t end)
 
bool approx_increment (size_t iter, unsigned short root, const UShortSet &reverse_dag)
 
void ensemble_sample_increment (size_t iter, size_t step)
 
void assign_active_key (bool multilev)
 
void recover_online_cost (RealVector &seq_cost)
 recover estimates of simulation cost using aggregated response metadata
 
void initialize_sums (IntRealMatrixMap &sum_L_baseline, IntRealVectorMap &sum_H, IntRealMatrixMap &sum_LH, RealVector &sum_HH)
 
void initialize_counts (Sizet2DArray &num_L_baseline, SizetArray &num_H, Sizet2DArray &num_LH)
 
void finalize_counts (Sizet2DArray &N_L_actual, SizetArray &N_L_alloc)
 
Real compute_equivalent_cost (Real avg_hf_target, const RealVector &avg_eval_ratios, const RealVector &cost)
 
void increment_equivalent_cost (size_t new_samp, const RealVector &cost, size_t index, Real &equiv_hf_evals)
 
void increment_equivalent_cost (size_t new_samp, const RealVector &cost, size_t start, size_t end, Real &equiv_hf_evals)
 
void increment_equivalent_cost (size_t new_samp, const RealVector &cost, const SizetArray &approx_sequence, size_t start, size_t end, Real &equiv_hf_evals)
 
void increment_equivalent_cost (size_t new_samp, const RealVector &cost, unsigned short root, const UShortSet &reverse_dag, Real &equiv_hf_evals)
 
void increment_sample_range (SizetArray &N_L, size_t incr, const SizetArray &approx_sequence, size_t start, size_t end)
 
void increment_sample_range (SizetArray &N_L, size_t incr, unsigned short root, const UShortSet &reverse_dag)
 
void hf_indices (size_t &hf_form_index, size_t &hf_lev_index)
 define model form and resolution level indices
 
void compute_variance (Real sum_Q, Real sum_QQ, size_t num_Q, Real &var_Q)
 
void compute_variance (const RealVector &sum_Q, const RealVector &sum_QQ, const SizetArray &num_Q, RealVector &var_Q)
 
void compute_correlation (Real sum_Q1, Real sum_Q2, Real sum_Q1Q1, Real sum_Q1Q2, Real sum_Q2Q2, size_t N_shared, Real &var_Q1, Real &var_Q2, Real &rho2_Q1Q2)
 
void compute_covariance (Real sum_Q1, Real sum_Q2, Real sum_Q1Q2, size_t N_shared, Real &cov_Q1Q2)
 
void mfmc_analytic_solution (const RealMatrix &rho2_LH, const RealVector &cost, DAGSolutionData &soln, bool monotonic_r=false)
 
void mfmc_reordered_analytic_solution (const RealMatrix &rho2_LH, const RealVector &cost, SizetArray &approx_sequence, DAGSolutionData &soln, bool monotonic_r)
 
void ensemble_numerical_solution (const RealVector &cost, const SizetArray &approx_sequence, DAGSolutionData &soln, size_t &num_samples)
 
Real allocate_budget (const RealVector &avg_eval_ratios, const RealVector &cost)
 
void scale_to_budget_with_pilot (RealVector &avg_eval_ratios, const RealVector &cost, Real avg_N_H)
 
Real average_estimator_variance (const RealVector &cd_vars)
 helper function that supports optimization APIs passing design variables
 
void print_estimator_performance (std::ostream &s, const DAGSolutionData &soln)
 helper function that supports virtual print_variance_reduction(s)
 
void r_and_N_to_N_vec (const RealVector &avg_eval_ratios, Real N_H, RealVector &N_vec)
 
void r_and_N_to_design_vars (const RealVector &avg_eval_ratios, Real N_H, RealVector &cd_vars)
 
bool ordered_approx_sequence (const RealVector &metric, SizetArray &approx_sequence, bool descending_keys=false)
 define approx_sequence in increasing metric order
 
bool ordered_approx_sequence (const RealMatrix &metric)
 determine whether metric is in increasing order for all columns
 
void apply_control (Real sum_L_shared, size_t num_shared, Real sum_L_refined, size_t num_refined, Real beta, Real &H_raw_mom)
 
void inflate (size_t N_0D, SizetArray &N_1D)
 promote scalar to 1D array
 
void inflate (const SizetArray &N_1D, Sizet2DArray &N_2D)
 promote 1D array to 2D array
 
void inflate (const RealVector &avg_eval_ratios, RealMatrix &eval_ratios)
 promote vector of averaged values to full matrix
 
void inflate (Real r_i, size_t num_rows, Real *eval_ratios_col)
 promote scalar to column vector
 
Real nh_penalty_merit (const RealVector &c_vars, const RealVector &fn_vals)
 compute a penalty merit function after an optimization solve
 
Real nh_penalty_merit (const DAGSolutionData &soln)
 compute a penalty merit function after a DAGSolutionData instance
 
- Protected Member Functions inherited from NonDEnsembleSampling
void post_run (std::ostream &s)
 post-run portion of run (optional); verbose to print results; re-implemented by Iterators that can read all Variables/Responses and perform final analysis phase in a standalone way More...
 
void print_results (std::ostream &s, short results_state=FINAL_RESULTS)
 print the final iterator results More...
 
void initialize_final_statistics ()
 initializes finalStatistics for storing NonD final results More...
 
void update_final_statistics ()
 update finalStatistics::functionValues
 
bool seed_updated ()
 
void active_set_mapping ()
 in the case of sub-iteration, map from finalStatistics.active_set() requests to activeSet used in evaluate_parameter_sets() More...
 
Real estimator_cost_metric ()
 return cost metric for entry into finalStatistics
 
void assign_specification_sequence (size_t index)
 advance any sequence specifications
 
int seed_sequence (size_t index)
 extract current random seed from randomSeedSeqSpec More...
 
void resize_active_set ()
 synchronize activeSet with iteratedModel's response size
 
void increment_samples (SizetArray &N_l, size_t incr)
 increment samples array with a shared scalar
 
void increment_samples (Sizet2DArray &N_l, const SizetArray &incr)
 increment 2D samples array with a shared 1D array (additional dim is QoI)
 
void compute_mc_estimator_variance (const RealVector &var_l, const SizetArray &N_l, RealVector &mc_est_var)
 compute the variance of the mean estimator (Monte Carlo sample average)
 
void project_mc_estimator_variance (const RealVector &var_l, const SizetArray &N_l, size_t new_samp, RealVector &mc_est_var)
 compute the variance of the mean estimator (Monte Carlo sample average) after projection with additional samples (var_l remains fixed)
 
void estvar_ratios_to_avg_estvar (const RealVector &estvar_ratios, const RealVector &var_H, const SizetArray &N_H, Real &avg_est_var)
 convert estimator variance ratios to average estimator variance
 
void compute_mf_control (Real sum_L, Real sum_H, Real sum_LL, Real sum_LH, size_t N_shared, Real &beta)
 compute scalar control variate parameters
 
void compute_mf_control (const RealMatrix &sum_L, const RealMatrix &sum_H, const RealMatrix &sum_LL, const RealMatrix &sum_LH, const SizetArray &N_shared, size_t lev, RealVector &beta)
 compute matrix control variate parameters
 
void compute_mf_control (const RealVector &sum_L, const RealVector &sum_H, const RealVector &sum_LL, const RealVector &sum_LH, const SizetArray &N_shared, RealVector &beta)
 compute vector control variate parameters
 
void export_all_samples (String root_prepend, const Model &model, size_t iter, size_t step)
 export allSamples to tagged tabular file
 
void convert_moments (const RealMatrix &raw_mom, RealMatrix &final_mom)
 convert uncentered raw moments (multilevel expectations) to standardized moments
 
Real sum (const Real *vec, size_t vec_len) const
 compute sum of a set of observations
 
Real average (const Real *vec, size_t vec_len) const
 compute average of a set of observations
 
Real average (const RealVector &vec) const
 compute average of a set of observations
 
Real average (const SizetArray &sa) const
 compute average of a set of observations
 
void average (const RealMatrix &mat, size_t avg_index, RealVector &avg_vec) const
 compute row-averages for each column or column-averages for each row
 
- Protected Member Functions inherited from NonDSampling
 NonDSampling (ProblemDescDB &problem_db, Model &model)
 constructor More...
 
 NonDSampling (unsigned short method_name, Model &model, unsigned short sample_type, size_t samples, int seed, const String &rng, bool vary_pattern, short sampling_vars_mode)
 alternate constructor for sample generation and evaluation "on the fly" More...
 
 NonDSampling (unsigned short sample_type, size_t samples, int seed, const String &rng, const RealVector &lower_bnds, const RealVector &upper_bnds)
 alternate constructor for sample generation "on the fly" More...
 
 NonDSampling (unsigned short sample_type, size_t samples, int seed, const String &rng, const RealVector &means, const RealVector &std_devs, const RealVector &lower_bnds, const RealVector &upper_bnds, RealSymMatrix &correl)
 alternate constructor for sample generation of correlated normals "on the fly" More...
 
void pre_run ()
 pre-run portion of run (optional); re-implemented by Iterators which can generate all Variables (parameter sets) a priori More...
 
void core_run ()
 
size_t num_samples () const
 
void sampling_reset (size_t min_samples, bool all_data_flag, bool stats_flag)
 resets number of samples and sampling flags More...
 
void sampling_reference (size_t samples_ref)
 set reference number of samples, which is a lower bound during reset
 
void random_seed (int seed)
 assign randomSeed
 
void vary_pattern (bool pattern_flag)
 set varyPattern
 
void get_parameter_sets (Model &model)
 Uses lhsDriver to generate a set of samples from the distributions/bounds defined in the incoming model. More...
 
void get_parameter_sets (Model &model, const size_t num_samples, RealMatrix &design_matrix)
 Uses lhsDriver to generate a set of samples from the distributions/bounds defined in the incoming model and populates the specified design matrix. More...
 
void get_parameter_sets (Model &model, const size_t num_samples, RealMatrix &design_matrix, bool write_msg)
 core of get_parameter_sets that accepts message print control
 
void get_parameter_sets (const RealVector &lower_bnds, const RealVector &upper_bnds)
 Uses lhsDriver to generate a set of uniform samples over lower_bnds/upper_bnds. More...
 
void get_parameter_sets (const RealVector &means, const RealVector &std_devs, const RealVector &lower_bnds, const RealVector &upper_bnds, RealSymMatrix &correl)
 Uses lhsDriver to generate a set of normal samples. More...
 
void update_model_from_sample (Model &model, const Real *sample_vars)
 Override default update of continuous vars only.
 
void sample_to_variables (const Real *sample_vars, Variables &vars)
 override default mapping of continuous variables only
 
void variables_to_sample (const Variables &vars, Real *sample_vars)
 override default mapping of continuous variables only
 
const RealSymMatrix & response_error_estimates () const
 return error estimates associated with each of the finalStatistics
 
void initialize_sample_driver (bool write_message, size_t num_samples)
 increments numLHSRuns, sets random seed, and initializes lhsDriver
 
void mode_counts (const Variables &vars, size_t &cv_start, size_t &num_cv, size_t &div_start, size_t &num_div, size_t &dsv_start, size_t &num_dsv, size_t &drv_start, size_t &num_drv) const
 compute sampled subsets (all, active, uncertain) within all variables (acv/adiv/adrv) from samplingVarsMode and model More...
 
void mode_bits (const Variables &vars, BitArray &active_vars, BitArray &active_corr) const
 define subset views for sampling modes
 
- Protected Member Functions inherited from NonD
 NonD (ProblemDescDB &problem_db, Model &model)
 constructor
 
 NonD (unsigned short method_name, Model &model)
 alternate constructor for sample generation and evaluation "on the fly"
 
 NonD (unsigned short method_name, Model &model, const ShortShortPair &approx_view)
 alternate constructor for sample generation and evaluation "on the fly"
 
 NonD (unsigned short method_name, const RealVector &lower_bnds, const RealVector &upper_bnds)
 alternate constructor for sample generation "on the fly"
 
 ~NonD ()
 destructor
 
void derived_set_communicators (ParLevLIter pl_iter)
 derived class contributions to setting the communicators associated with this Iterator instance
 
void initialize_run ()
 utility function to perform common operations prior to pre_run(); typically memory initialization; setting of instance pointers More...
 
void finalize_run ()
 utility function to perform common operations following post_run(); deallocation and resetting of instance pointers More...
 
const Responseresponse_results () const
 return the final statistics from the nondeterministic iteration
 
void response_results_active_set (const ActiveSet &set)
 set the active set within finalStatistics
 
virtual void initialize_response_covariance ()
 initializes respCovariance
 
virtual bool discrepancy_sample_counts () const
 flag identifying whether sample counts correspond to level discrepancies
 
void pull_level_mappings (RealVector &level_maps, size_t offset)
 concatenate computed{Resp,Prob,Rel,GenRel}Levels into level_maps
 
void push_level_mappings (const RealVector &level_maps, size_t offset)
 update computed{Resp,Prob,Rel,GenRel}Levels from level_maps
 
void configure_sequence (size_t &num_steps, size_t &secondary_index, short &seq_type)
 configure fidelity/level counts from model hierarchy More...
 
void configure_cost (unsigned short num_steps, bool multilevel, RealVector &cost)
 extract cost estimates from model hierarchy (forms or resolutions)
 
bool query_cost (unsigned short num_steps, bool multilevel, RealVector &cost)
 extract cost estimates from model hierarchy, if available
 
bool query_cost (unsigned short num_steps, Model &model, RealVector &cost)
 extract cost estimates from model hierarchy, if available
 
bool valid_cost_values (const RealVector &cost)
 test cost for valid values > 0
 
void load_pilot_sample (const SizetArray &pilot_spec, size_t num_steps, SizetArray &delta_N_l)
 distribute pilot sample specification across model forms or levels
 
void load_pilot_sample (const SizetArray &pilot_spec, short seq_type, const Sizet3DArray &N_l, Sizet2DArray &delta_N_l)
 distribute pilot sample specification across model forms and levels
 
template<typename ArrayType >
void inflate_approx_samples (const ArrayType &N_l, bool multilev, size_t secondary_index, std::vector< ArrayType > &N_l_vec)
 update the relevant slice of N_l_3D from the final 2D multilevel or 2D multifidelity sample profile
 
template<typename ArrayType >
void inflate_sequence_samples (const ArrayType &N_l, bool multilev, size_t secondary_index, std::vector< ArrayType > &N_l_vec)
 update the relevant slice of N_l_3D from the final 2D multilevel or 2D multifidelity sample profile
 
void resize_final_statistics_gradients ()
 resizes finalStatistics::functionGradients based on finalStatistics ASV
 
void update_aleatory_final_statistics ()
 update finalStatistics::functionValues from momentStats and computed{Prob,Rel,GenRel,Resp}Levels
 
void update_system_final_statistics ()
 update system metrics from component metrics within finalStatistics
 
void update_system_final_statistics_gradients ()
 update finalStatistics::functionGradients
 
void initialize_level_mappings ()
 size computed{Resp,Prob,Rel,GenRel}Levels
 
void compute_densities (const RealRealPairArray &min_max_fns, bool prob_refinement=false, bool all_levels_computed=false)
 compute the PDF bins from the CDF/CCDF values and store in computedPDF{Abscissas,Ordinates} More...
 
void print_densities (std::ostream &s) const
 output the PDFs reflected in computedPDF{Abscissas,Ordinates} using default qoi_type and pdf_labels
 
void print_densities (std::ostream &s, String qoi_type, const StringArray &pdf_labels) const
 output the PDFs reflected in computedPDF{Abscissas,Ordinates}
 
void print_system_mappings (std::ostream &s) const
 print system series/parallel mappings for response levels
 
void print_multilevel_evaluation_summary (std::ostream &s, const SizetArray &N_m)
 print evaluation summary for multilevel sampling across 1D level profile
 
void print_multilevel_evaluation_summary (std::ostream &s, const Sizet2DArray &N_m)
 print evaluation summary for multilevel sampling across 2D level+QoI profile
 
void print_multilevel_discrepancy_summary (std::ostream &s, const SizetArray &N_m)
 print evaluation summary for multilevel sampling across 1D level profile for discrepancy across levels
 
void print_multilevel_discrepancy_summary (std::ostream &s, const SizetArray &N_m, const SizetArray &N_mp1)
 print evaluation summary for multilevel sampling across 1D level profile for discrepancy across model forms
 
void print_multilevel_discrepancy_summary (std::ostream &s, const Sizet2DArray &N_m)
 print evaluation summary for multilevel sampling across 2D level+QoI profile for discrepancy across levels
 
void print_multilevel_discrepancy_summary (std::ostream &s, const Sizet2DArray &N_m, const Sizet2DArray &N_mp1)
 print evaluation summary for multilevel sampling across 2D level+QoI profile for discrepancy across model forms
 
template<typename ArrayType >
void print_multilevel_model_summary (std::ostream &s, const std::vector< ArrayType > &N_samp, String type, short seq_type, bool discrep_flag)
 print evaluation summary for multilevel sampling across 2D model+level profile (allocations) or 3D model+level+QoI profile (actual)
 
void construct_lhs (Iterator &u_space_sampler, Model &u_model, unsigned short sample_type, int num_samples, int seed, const String &rng, bool vary_pattern, short sampling_vars_mode=ACTIVE)
 assign a NonDLHSSampling instance within u_space_sampler
 
unsigned short sub_optimizer_select (unsigned short requested_sub_method, unsigned short default_sub_method=SUBMETHOD_NPSOL)
 utility for vetting sub-method request against optimizers within the package configuration
 
size_t one_sided_delta (Real current, Real target)
 compute a one-sided sample increment for multilevel methods to move current sampling level to a new target
 
size_t one_sided_delta (const SizetArray &current, const RealVector &targets, size_t power)
 compute a one-sided sample increment for multilevel methods to move current sampling level to a new target
 
size_t one_sided_delta (const SizetArray &current, Real target, size_t power)
 compute a one-sided sample increment for multilevel methods to move current sampling level to a new target
 
bool differ (size_t N_alloc_ij, const SizetArray &N_actual_ij) const
 return true if fine-grained reporting differs from coarse-grained
 
bool differ (const SizetArray &N_alloc_i, const Sizet2DArray &N_actual_i) const
 return true if fine-grained reporting differs from coarse-grained
 
bool differ (const Sizet2DArray &N_alloc, const Sizet3DArray &N_actual) const
 return true if fine-grained reporting differs from coarse-grained
 
void archive_allocate_mappings ()
 allocate results array storage for distribution mappings
 
void archive_from_resp (size_t fn_index, size_t inc_id=0)
 archive the mappings from specified response levels for specified fn
 
void archive_to_resp (size_t fn_index, size_t inc_id=0)
 archive the mappings to computed response levels for specified fn and (optional) increment id.
 
void archive_allocate_pdf ()
 allocate results array storage for pdf histograms
 
void archive_pdf (size_t fn_index, size_t inc_id=0)
 archive a single pdf histogram for specified function
 
void archive_equiv_hf_evals (const Real equiv_hf_evals)
 archive the equivalent number of HF evals (used by ML/MF methods)
 
- Protected Member Functions inherited from Analyzer
 Analyzer ()
 default constructor
 
 Analyzer (ProblemDescDB &problem_db, Model &model)
 standard constructor
 
 Analyzer (unsigned short method_name, Model &model)
 alternate constructor for instantiations "on the fly" with a Model
 
 Analyzer (unsigned short method_name, Model &model, const ShortShortPair &view_override)
 alternate constructor for instantiations "on the fly" with a Model
 
 Analyzer (unsigned short method_name)
 alternate constructor for instantiations "on the fly" without a Model
 
 ~Analyzer ()
 destructor
 
virtual void update_model_from_variables (Model &model, const Variables &vars)
 update model's current variables with data from vars
 
void update_from_model (const Model &model)
 set inherited data attributes based on extractions from incoming model
 
void pre_output ()
 
const Modelalgorithm_space_model () const
 
const Variablesvariables_results () const
 return a single final iterator solution (variables)
 
const VariablesArray & variables_array_results ()
 return multiple final iterator solutions (variables). This should only be used if returns_multiple_points() returns true.
 
const ResponseArray & response_array_results ()
 return multiple final iterator solutions (response). This should only be used if returns_multiple_points() returns true.
 
bool compact_mode () const
 returns Analyzer::compactMode
 
bool returns_multiple_points () const
 indicates if this iterator returns multiple final points. Default return is false. Override to return true if appropriate.
 
void evaluate_parameter_sets (Model &model, bool log_resp_flag, bool log_best_flag)
 perform function evaluations to map parameter sets (allVariables) into response sets (allResponses) More...
 
void get_vbd_parameter_sets (Model &model, size_t num_samples)
 generate replicate parameter sets for use in variance-based decomposition More...
 
void compute_vbd_stats (const size_t num_samples, const IntResponseMap &resp_samples)
 compute VBD-based Sobol indices More...
 
void archive_sobol_indices () const
 archive VBD-based Sobol indices More...
 
virtual void archive_model_variables (const Model &, size_t idx) const
 archive model evaluation points
 
virtual void archive_model_response (const Response &, size_t idx) const
 archive model evaluation responses
 
void read_variables_responses (int num_evals, size_t num_vars)
 convenience function for reading variables/responses (used in derived classes post_input) More...
 
void print_sobol_indices (std::ostream &s) const
 Printing of VBD results. More...
 
void samples_to_variables_array (const RealMatrix &sample_matrix, VariablesArray &vars_array)
 convert samples array to variables array; e.g., allSamples to allVariables
 
void variables_array_to_samples (const VariablesArray &vars_array, RealMatrix &sample_matrix)
 convert variables array to samples array; e.g., allVariables to allSamples
 
- Protected Member Functions inherited from Iterator
 Iterator (BaseConstructor, ProblemDescDB &problem_db, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 constructor initializes the base class part of letter classes (BaseConstructor overloading avoids infinite recursion in the derived class constructors - Coplien, p. 139) More...
 
 Iterator (NoDBBaseConstructor, unsigned short method_name, Model &model, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 alternate constructor for base iterator classes constructed on the fly More...
 
 Iterator (NoDBBaseConstructor, unsigned short method_name, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 alternate constructor for base iterator classes constructed on the fly More...
 
 Iterator (NoDBBaseConstructor, Model &model, size_t max_iter, size_t max_eval, Real conv_tol, std::shared_ptr< TraitsBase > traits=std::shared_ptr< TraitsBase >(new TraitsBase()))
 alternate envelope constructor for instantiations without ProblemDescDB More...
 
virtual void derived_init_communicators (ParLevLIter pl_iter)
 derived class contributions to initializing the communicators associated with this Iterator instance
 
virtual const VariablesArray & initial_points () const
 gets the multiple initial points for this iterator. This will only be meaningful after a call to initial_points mutator.
 
StrStrSizet run_identifier () const
 get the unique run identifier based on method name, id, and number of executions
 
void initialize_model_graphics (Model &model, int iterator_server_id)
 helper function that encapsulates initialization operations, modular on incoming Model instance More...
 
void export_final_surrogates (Model &data_fit_surr_model)
 export final surrogates generated, e.g., GP in EGO and friends More...
 

Private Member Functions

void approximate_control_variate_online_pilot ()
 
void approximate_control_variate_offline_pilot ()
 
void approximate_control_variate_pilot_projection ()
 
void approx_increments (IntRealMatrixMap &sum_L_baselineH, IntRealVectorMap &sum_H, IntRealSymMatrixArrayMap &sum_LL, IntRealMatrixMap &sum_LH, const SizetArray &N_H_actual, size_t N_H_alloc, const DAGSolutionData &soln)
 
void precompute_acv_control (const RealVector &avg_eval_ratios, const SizetArray &N_shared)
 
void compute_acv_control (RealMatrix &sum_L_base_m, Real sum_H_mq, RealSymMatrix &sum_LL_mq, RealMatrix &sum_LH_m, size_t N_shared_q, size_t mom, size_t qoi, RealVector &beta)
 
void analytic_initialization_from_ensemble_cvmc (Real avg_N_H, DAGSolutionData &soln)
 
void cvmc_ensemble_solutions (const RealMatrix &rho2_LH, const RealVector &cost, DAGSolutionData &soln)
 
void initialize_acv_counts (SizetArray &num_H, SizetSymMatrixArray &num_LL)
 
void accumulate_acv_sums (RealMatrix &sum_L_baseline, RealVector &sum_H, RealSymMatrixArray &sum_LL, RealMatrix &sum_LH, RealVector &sum_HH, SizetArray &N_shared)
 
void accumulate_acv_sums (IntRealMatrixMap &sum_L_baseline, IntRealSymMatrixArrayMap &sum_LL, Sizet2DArray &N_L_shared)
 
void compute_LH_covariance (const RealMatrix &sum_L_shared, const RealVector &sum_H, const RealMatrix &sum_LH, const SizetArray &N_shared, RealMatrix &cov_LH)
 
void compute_LL_covariance (const RealMatrix &sum_L_shared, const RealSymMatrixArray &sum_LL, const SizetArray &N_shared, RealSymMatrixArray &cov_LL)
 
void compute_L_variance (const RealMatrix &sum_L, const RealSymMatrixArray &sum_LL, const SizetArray &num_L, RealMatrix &var_L)
 
void compute_F_matrix (const RealVector &avg_eval_ratios, RealSymMatrix &F)
 
void compute_C_F_c_f (const RealSymMatrix &C, const RealSymMatrix &F, const RealMatrix &c, size_t qoi, RealSymMatrix &C_F, RealVector &c_f)
 
void solve_for_C_F_c_f (RealSymMatrix &C_F, RealVector &c_f, RealVector &lhs, bool copy_C_F=true, bool copy_c_f=true)
 
Real solve_for_triple_product (const RealSymMatrix &C, const RealSymMatrix &F, const RealMatrix &c, size_t qoi)
 
Real compute_R_sq (const RealSymMatrix &C, const RealSymMatrix &F, const RealMatrix &c, size_t qoi, Real var_H_q)
 
void compute_ratios (const RealMatrix &var_L, DAGSolutionData &soln)
 
void acv_estvar_ratios (const RealSymMatrix &F, RealVector &estvar_ratios)
 
void solve_for_acv_control (const RealSymMatrix &cov_LL, const RealSymMatrix &F, const RealMatrix &cov_LH, size_t qoi, RealVector &beta)
 
void scale_to_target (Real avg_N_H, const RealVector &cost, RealVector &avg_eval_ratios, Real &avg_hf_target)
 

Private Attributes

RealSymMatrix FMat
 the "F" matrix from Gorodetsky JCP paper
 
DAGSolutionData acvSolnData
 final solution data for ACV (default DAG = numApprox,...,numApprox)
 

Additional Inherited Members

- Static Public Member Functions inherited from NonDSampling
static void compute_moments (const RealVectorArray &fn_samples, SizetArray &sample_counts, RealMatrix &moment_stats, short moments_type, const StringArray &labels)
 core compute_moments() implementation with all data as inputs
 
static void compute_moments (const RealVectorArray &fn_samples, RealMatrix &moment_stats, short moments_type)
 core compute_moments() implementation with all data as inputs
 
static void compute_moments (const RealMatrix &fn_samples, RealMatrix &moment_stats, short moments_type)
 alternate RealMatrix samples API for use by external clients
 
static void print_moments (std::ostream &s, const RealMatrix &moment_stats, const RealMatrix moment_cis, String qoi_type, short moments_type, const StringArray &moment_labels, bool print_cis)
 core print moments that can be called without object
 
static int compute_wilks_sample_size (unsigned short order, Real alpha, Real beta, bool twosided=false)
 calculates the number of samples using the Wilks formula Static so I can test without instantiating a NonDSampling object - RWH
 
static Real compute_wilks_residual (unsigned short order, int nsamples, Real alpha, Real beta, bool twosided)
 Helper function - calculates the Wilks residual.
 
static Real compute_wilks_alpha (unsigned short order, int nsamples, Real beta, bool twosided=false)
 calculates the alpha paramter given number of samples using the Wilks formula Static so I can test without instantiating a NonDSampling object - RWH
 
static Real compute_wilks_beta (unsigned short order, int nsamples, Real alpha, bool twosided=false)
 calculates the beta parameter given number of samples using the Wilks formula Static so I can test without instantiating a NonDSampling object - RWH
 
static Real get_wilks_alpha_min ()
 Get the lower and upper bounds supported by Wilks bisection solves.
 
static Real get_wilks_alpha_max ()
 
static Real get_wilks_beta_min ()
 
static Real get_wilks_beta_max ()
 
- Static Protected Member Functions inherited from NonDEnsembleSampling
static void uncentered_to_centered (Real rm1, Real rm2, Real rm3, Real rm4, Real &cm1, Real &cm2, Real &cm3, Real &cm4, size_t Nlq)
 convert uncentered (raw) moments to centered moments; biased estimators More...
 
static void uncentered_to_centered (Real rm1, Real rm2, Real rm3, Real rm4, Real &cm1, Real &cm2, Real &cm3, Real &cm4)
 convert uncentered (raw) moments to centered moments; unbiased estimators More...
 
static void centered_to_standard (Real cm1, Real cm2, Real cm3, Real cm4, Real &sm1, Real &sm2, Real &sm3, Real &sm4)
 convert centered moments to standardized moments
 
static void check_negative (Real &cm)
 detect, warn, and repair a negative central moment (for even orders)
 
- Static Protected Member Functions inherited from Iterator
static void gnewton_set_recast (const Variables &recast_vars, const ActiveSet &recast_set, ActiveSet &sub_model_set)
 conversion of request vector values for the Gauss-Newton Hessian approximation More...
 
- Protected Attributes inherited from NonDNonHierarchSampling
IteratorArray varianceMinimizers
 the minimizer used to minimize the estimator variance over parameters of number of truth model samples and approximation eval_ratios
 
unsigned short mlmfSubMethod
 variance minimization algorithm selection: SUBMETHOD_MFMC or SUBMETHOD_ACV_{IS,MF,KL}
 
size_t numApprox
 number of approximation models managed by non-hierarchical iteratedModel
 
short optSubProblemForm
 formulation for optimization sub-problem that minimizes R^2 subject to different variable sets and different linear/nonlinear constraints
 
unsigned short optSubProblemSolver
 SQP or NIP.
 
bool truthFixedByPilot
 user specification to suppress any increments in the number of HF evaluations (e.g., because too expensive and no more can be performed)
 
SizetArray approxSequence
 tracks ordering of a metric (correlations, eval ratios) across set of approximations
 
RealMatrix covLH
 covariances between each LF approximation and HF truth (the c vector in ACV); organized numFunctions x numApprox
 
RealSymMatrixArray covLL
 covariances among all LF approximations (the C matrix in ACV); organized as a numFunctions array of symmetic numApprox x numApprox matrices
 
RealMatrix rho2LH
 squared Pearson correlations among approximations and truth
 
size_t deltaNActualHF
 for sample projections, the calculated increment in HF samples that would be evaluated if full iteration/statistics were pursued
 
SizetArray numHIter0
 number of successful pilot evaluations of HF truth model (exclude faults)
 
- Protected Attributes inherited from NonDEnsembleSampling
size_t numSteps
 number of model forms/resolution in the (outer) sequence
 
short sequenceType
 type of model sequence enumerated with primary MF/ACV loop over steps
 
size_t secondaryIndex
 setting for the inactive model dimension not traversed by primary MF/ACV loop over steps
 
RealVector sequenceCost
 relative costs of model forms/resolution levels within a 1D sequence
 
Sizet3DArray NLevActual
 total number of successful sample evaluations (excluding faults) for each model form, discretization level, and QoI
 
Sizet2DArray NLevAlloc
 total number of allocated sample evaluations (prior to any faults) for each model form and discretization level (same for all QoI)
 
SizetArray pilotSamples
 store the pilot_samples input specification, prior to run-time invocation of load_pilot_sample()
 
short pilotMgmtMode
 enumeration for pilot management modes: ONLINE_PILOT (default), OFFLINE_PILOT, PILOT_PROJECTION
 
bool onlineCost
 indicates use of online cost recovery rather than offline user-specified cost ratios
 
SizetSizetPairArray costMetadataIndices
 indices of cost data within response metadata, one per model form
 
SizetArray randomSeedSeqSpec
 user specification for seed_sequence
 
size_t mlmfIter
 major iteration counter
 
bool backfillFailures
 (inactive) option to backfill simulation failures by comparing targets against successful sample completions rather than sample allocations
 
Real equivHFEvals
 equivalent number of high fidelity evaluations accumulated using samples across multiple model forms and/or discretization levels
 
Real deltaEquivHF
 for sample projections, the calculated increment in equivHFEvals that would be incurred if full iteration/statistics were needed
 
RealVector varH
 variances for HF truth (length numFunctions)
 
RealVector estVarIter0
 initial estimator variance from shared pilot (no CV reduction)
 
short finalStatsType
 QOI_STATISTICS (moments, level mappings) or ESTIMATOR_PERFORMANCE (for model tuning of estVar,equivHFEvals by an outer loop)
 
bool exportSampleSets
 if defined, export each of the sample increments in ML, CV, MLCV using tagged tabular files
 
unsigned short exportSamplesFormat
 format for exporting sample increments using tagged tabular files
 
- Protected Attributes inherited from NonDSampling
int seedSpec
 the user seed specification (default is 0)
 
int randomSeed
 the current seed
 
const int samplesSpec
 initial specification of number of samples
 
size_t samplesRef
 reference number of samples updated for refinement
 
size_t numSamples
 the current number of samples to evaluate
 
String rngName
 name of the random number generator
 
unsigned short sampleType
 the sample type: default, random, lhs, incremental random, or incremental lhs
 
bool wilksFlag
 flags use of Wilks formula to calculate num samples
 
unsigned short wilksOrder
 
Real wilksAlpha
 
Real wilksBeta
 
short wilksSidedness
 
RealMatrix momentGrads
 gradients of standardized or central moments of response functions, as determined by finalMomentsType. Calculated in compute_moments() and indexed as (var,moment) when moment id runs from 1:2*numFunctions.
 
RealSymMatrix finalStatErrors
 standard errors (estimator std deviation) for each of the finalStatistics
 
int samplesIncrement
 current increment in a sequence of samples
 
Pecos::LHSDriver lhsDriver
 the C++ wrapper for the F90 LHS library
 
size_t numLHSRuns
 counter for number of sample set generations
 
bool stdRegressionCoeffs
 flags computation/output of standardized regression coefficients
 
bool toleranceIntervalsFlag
 flags of double sided tolerance interval equivalent normal
 
Real tiCoverage
 coverage to be used in the calculation of the double sided tolerance interval equivaluent normal
 
Real tiConfidenceLevel
 confidence interval to be used in the calculation of the double sided tolerance interval equivalent normal
 
size_t tiNumValidSamples
 
RealVector tiDstienMus
 
Real tiDeltaMultiplicativeFactor
 
RealVector tiSampleSigmas
 
RealVector tiDstienSigmas
 
bool statsFlag
 flags computation/output of statistics
 
bool allDataFlag
 flags update of allResponses (allVariables or allSamples already defined)
 
short samplingVarsMode
 the sampling mode: ALEATORY_UNCERTAIN{,_UNIFORM}, EPISTEMIC_UNCERTAIN{,_UNIFORM}, UNCERTAIN{,_UNIFORM}, ACTIVE{,_UNIFORM}, or ALL{,_UNIFORM}. This is a secondary control on top of the variables view that allows sampling over subsets of variables that may differ from the view.
 
short sampleRanksMode
 mode for input/output of LHS sample ranks: IGNORE_RANKS, GET_RANKS, SET_RANKS, or SET_GET_RANKS
 
bool varyPattern
 flag for generating a sequence of seed values within multiple get_parameter_sets() calls so that these executions (e.g., for SBO/SBNLS) are not repeated, but are still repeatable
 
RealMatrix sampleRanks
 data structure to hold the sample ranks
 
SensAnalysisGlobal nonDSampCorr
 initialize statistical post processing
 
bool backfillDuplicates
 flags whether to use backfill to enforce uniqueness of discrete LHS samples
 
RealRealPairArray extremeValues
 Minimum and maximum values of response functions for epistemic calculations (calculated in compute_intervals()),.
 
bool functionMomentsComputed
 Function moments have been computed; used to determine whether to archive the moments.
 
- Protected Attributes inherited from NonD
NonDprevNondInstance
 pointer containing previous value of nondInstance
 
size_t startCAUV
 starting index of continuous aleatory uncertain variables within active continuous variables (convenience for managing offsets)
 
size_t numCAUV
 number of active continuous aleatory uncertain variables
 
bool epistemicStats
 flag for computing interval-type metrics instead of integrated metrics If any epistemic vars are active in a metric evaluation, then flag is set.
 
RealMatrix momentStats
 standardized or central resp moments, as determined by finalMomentsType. Calculated in compute_moments()) and indexed as (moment,fn).
 
RealVectorArray requestedRespLevels
 requested response levels for all response functions
 
RealVectorArray computedProbLevels
 output probability levels for all response functions resulting from requestedRespLevels
 
RealVectorArray computedRelLevels
 output reliability levels for all response functions resulting from requestedRespLevels
 
RealVectorArray computedGenRelLevels
 output generalized reliability levels for all response functions resulting from requestedRespLevels
 
short respLevelTarget
 indicates mapping of z->p (PROBABILITIES), z->beta (RELIABILITIES), or z->beta* (GEN_RELIABILITIES)
 
short respLevelTargetReduce
 indicates component or system series/parallel failure metrics
 
RealVectorArray requestedProbLevels
 requested probability levels for all response functions
 
RealVectorArray requestedRelLevels
 requested reliability levels for all response functions
 
RealVectorArray requestedGenRelLevels
 requested generalized reliability levels for all response functions
 
RealVectorArray computedRespLevels
 output response levels for all response functions resulting from requestedProbLevels, requestedRelLevels, or requestedGenRelLevels
 
size_t totalLevelRequests
 total number of levels specified within requestedRespLevels, requestedProbLevels, and requestedRelLevels
 
bool cdfFlag
 flag for type of probabilities/reliabilities used in mappings: cumulative/CDF (true) or complementary/CCDF (false)
 
bool pdfOutput
 flag for managing output of response probability density functions (PDFs)
 
RealVectorArray computedPDFAbscissas
 sorted response PDF intervals bounds extracted from min/max sample and requested/computedRespLevels (vector lengths = num bins + 1)
 
RealVectorArray computedPDFOrdinates
 response PDF densities computed from bin counts divided by (unequal) bin widths (vector lengths = num bins)
 
Response finalStatistics
 final statistics from the uncertainty propagation used in strategies: response means, standard deviations, and probabilities of failure
 
short finalMomentsType
 type of moments logged within finalStatistics: none, central, standard
 
size_t miPLIndex
 index for the active ParallelLevel within ParallelConfiguration::miPLIters
 
BitArray pdfComputed
 Whether PDF was computed for function i; used to determine whether a pdf should be archived.
 
- Protected Attributes inherited from Analyzer
size_t numFunctions
 number of response functions
 
size_t numContinuousVars
 number of active continuous vars
 
size_t numDiscreteIntVars
 number of active discrete integer vars
 
size_t numDiscreteStringVars
 number of active discrete string vars
 
size_t numDiscreteRealVars
 number of active discrete real vars
 
bool compactMode
 switch for allSamples (compact mode) instead of allVariables (normal mode)
 
VariablesArray allVariables
 array of all variables to be evaluated in evaluate_parameter_sets()
 
RealMatrix allSamples
 compact alternative to allVariables
 
IntResponseMap allResponses
 array of all responses to be computed in evaluate_parameter_sets()
 
StringArray allHeaders
 array of headers to insert into output while evaluating allVariables
 
size_t numObjFns
 number of objective functions
 
size_t numLSqTerms
 number of least squares terms
 
RealPairPRPMultiMap bestVarsRespMap
 map which stores best set of solutions
 
- Protected Attributes inherited from Iterator
ProblemDescDBprobDescDB
 class member reference to the problem description database More...
 
ParallelLibraryparallelLib
 class member reference to the parallel library
 
ParConfigLIter methodPCIter
 the active ParallelConfiguration used by this Iterator instance
 
Model iteratedModel
 the model to be iterated (for iterators and meta-iterators employing a single model instance)
 
size_t myModelLayers
 number of Models locally (in Iterator or derived classes) wrapped around the initially passed in Model
 
unsigned short methodName
 name of the iterator (the user's method spec)
 
Real convergenceTol
 iteration convergence tolerance
 
size_t maxIterations
 maximum number of iterations for the method
 
size_t maxFunctionEvals
 maximum number of fn evaluations for the method
 
int maxEvalConcurrency
 maximum number of concurrent model evaluations More...
 
ActiveSet activeSet
 the response data requirements on each function evaluation
 
size_t numFinalSolutions
 number of solutions to retain in best variables/response arrays
 
VariablesArray bestVariablesArray
 collection of N best solution variables found during the study; always in context of Model originally passed to the Iterator (any in-flight Recasts must be undone)
 
ResponseArray bestResponseArray
 collection of N best solution responses found during the study; always in context of Model originally passed to the Iterator (any in-flight Recasts must be undone)
 
bool subIteratorFlag
 flag indicating if this Iterator is a sub-iterator (NestedModel::subIterator or DataFitSurrModel::daceIterator)
 
short outputLevel
 output verbosity level: {SILENT,QUIET,NORMAL,VERBOSE,DEBUG}_OUTPUT
 
bool summaryOutputFlag
 flag for summary output (evaluation stats, final results); default true, but false for on-the-fly (helper) iterators and sub-iterator use cases
 
ResultsManagerresultsDB
 reference to the global iterator results database
 
EvaluationStore & evaluationsDB
 reference to the global evaluation database
 
EvaluationsDBState evaluationsDBState
 State of evaluations DB for this iterator.
 
ResultsNames resultsNames
 valid names for iterator results
 
std::shared_ptr< TraitsBasemethodTraits
 pointer that retains shared ownership of a TraitsBase object, or child thereof
 
bool topLevel
 Whether this is the top level iterator.
 
bool exportSurrogate = false
 whether to export final surrogates
 
String surrExportPrefix
 base filename for exported surrogates
 
unsigned short surrExportFormat = NO_MODEL_FORMAT
 (bitwise) format(s) to export
 
- Static Protected Attributes inherited from NonD
static NonDnondInstance
 pointer to the active object instance used within static evaluator functions in order to avoid the need for static data
 

Detailed Description

Perform Approximate Control Variate Monte Carlo sampling for UQ.

Approximate Control Variate (ACV) is a variance-reduction technique that utilitizes lower fidelity simulations that have response QoI that are correlated with the high-fidelity response QoI.

Constructor & Destructor Documentation

◆ NonDACVSampling()

NonDACVSampling ( ProblemDescDB problem_db,
Model model 
)

standard constructor

This constructor is called for a standard letter-envelope iterator instantiation. In this case, set_db_list_nodes has been called and probDescDB can be queried for settings from the method specification.

References ProblemDescDB::get_ushort(), Iterator::maxFunctionEvals, NonDNonHierarchSampling::mlmfSubMethod, NonDNonHierarchSampling::optSubProblemForm, NonDNonHierarchSampling::optSubProblemSolver, Iterator::outputLevel, NonDEnsembleSampling::pilotMgmtMode, Dakota::SZ_MAX, and NonDNonHierarchSampling::truthFixedByPilot.

Member Function Documentation

◆ core_run()

void core_run ( )
protectedvirtual

The primary run function manages the general case: a hierarchy of model forms (from the ordered model fidelities within a HierarchSurrModel), each of which may contain multiple discretization levels.

Reimplemented from Iterator.

Reimplemented in NonDGenACVSampling.

References Dakota::abort_handler(), NonDACVSampling::approximate_control_variate_offline_pilot(), NonDACVSampling::approximate_control_variate_online_pilot(), NonDACVSampling::approximate_control_variate_pilot_projection(), NonDNonHierarchSampling::mlmfSubMethod, NonDNonHierarchSampling::numApprox, NonDSampling::numSamples, NonDEnsembleSampling::pilotMgmtMode, and NonDEnsembleSampling::pilotSamples.

◆ accumulate_acv_sums() [1/5]

void accumulate_acv_sums ( IntRealMatrixMap &  sum_L_baseline,
IntRealVectorMap &  sum_H,
IntRealSymMatrixArrayMap &  sum_LL,
IntRealMatrixMap &  sum_LH,
RealVector &  sum_HH,
SizetArray &  N_shared 
)
protected

◆ accumulate_acv_sums() [2/5]

void accumulate_acv_sums ( IntRealMatrixMap &  sum_L_refined,
Sizet2DArray &  N_L_refined,
const SizetArray &  approx_sequence,
size_t  sequence_start,
size_t  sequence_end 
)
protected

This version used by ACV following approx_increment()

References NonDACVSampling::accumulate_acv_sums(), Analyzer::allResponses, and Response::function_values().

◆ accumulate_acv_sums() [3/5]

void accumulate_acv_sums ( IntRealMatrixMap &  sum_L,
Sizet2DArray &  N_L_actual,
const RealVector &  fn_vals,
size_t  approx 
)
protected

This version used by ACV, GenACV following approx_increment()

References Analyzer::numFunctions.

◆ update_projected_lf_samples()

void update_projected_lf_samples ( Real  avg_hf_target,
const RealVector &  avg_eval_ratios,
const SizetArray &  N_H_actual,
size_t &  N_H_alloc,
Real &  delta_equiv_hf 
)
protected

◆ update_projected_samples()

void update_projected_samples ( Real  avg_hf_target,
const RealVector &  avg_eval_ratios,
const SizetArray &  N_H_actual,
size_t &  N_H_alloc,
size_t &  delta_N_H_actual,
Real &  delta_equiv_hf 
)
protected

◆ approximate_control_variate_online_pilot()

void approximate_control_variate_online_pilot ( )
private

◆ approximate_control_variate_offline_pilot()

void approximate_control_variate_offline_pilot ( )
private

◆ approximate_control_variate_pilot_projection()

void approximate_control_variate_pilot_projection ( )
private

◆ accumulate_acv_sums() [4/5]

void accumulate_acv_sums ( RealMatrix &  sum_L_baseline,
RealVector &  sum_H,
RealSymMatrixArray &  sum_LL,
RealMatrix &  sum_LH,
RealVector &  sum_HH,
SizetArray &  N_shared 
)
private

Single moment version used by offline-pilot and pilot-projection ACV following shared_increment()

References Analyzer::allResponses, Response::function_values(), NonDNonHierarchSampling::numApprox, and Analyzer::numFunctions.

◆ accumulate_acv_sums() [5/5]

void accumulate_acv_sums ( IntRealMatrixMap &  sum_L_shared,
IntRealSymMatrixArrayMap &  sum_LL,
Sizet2DArray &  N_L_shared 
)
private

Multi-moment map-based version with fine-grained fault tolerance, used by ACV following shared_increment() void NonDACVSampling:: accumulate_acv_sums(IntRealMatrixMap& sum_L_baseline, IntRealVectorMap& sum_H, IntRealSymMatrixArrayMap& sum_LL, // L w/ itself + other L IntRealMatrixMap& sum_LH, // each L with H RealVector& sum_HH, Sizet2DArray& num_L_baseline, SizetArray& num_H, SizetSymMatrixArray& num_LL, Sizet2DArray& num_LH) { uses one set of allResponses with QoI aggregation across all Models, ordered by unorderedModels[i-1], i=1:numApprox --> truthModel

using std::isfinite; Real lf_fn, lf2_fn, hf_fn, lf_prod, lf2_prod, hf_prod; IntRespMCIter r_it; IntRVMIter h_it; IntRMMIter lb_it, lr_it, lh_it; IntRSMAMIter ll_it; int lb_ord, lr_ord, h_ord, ll_ord, lh_ord, active_ord, m; size_t qoi, approx, approx2, lf_index, lf2_index, hf_index; bool hf_is_finite;

for (r_it=allResponses.begin(); r_it!=allResponses.end(); ++r_it) { const Response& resp = r_it->second; const RealVector& fn_vals = resp.function_values(); const ShortArray& asv = resp.active_set_request_vector(); hf_index = numApprox * numFunctions;

for (qoi=0; qoi<numFunctions; ++qoi, ++hf_index) { hf_fn = fn_vals[hf_index]; hf_is_finite = isfinite(hf_fn); High accumulations: if (hf_is_finite) { // neither NaN nor +/-Inf ++num_H[qoi]; High-High: sum_HH[qoi] += hf_fn * hf_fn; // a single vector for ord 1 High: h_it = sum_H.begin(); h_ord = (h_it == sum_H.end()) ? 0 : h_it->first; hf_prod = hf_fn; active_ord = 1; while (h_ord) { if (h_ord == active_ord) { // support general key sequence h_it->second[qoi] += hf_prod; ++h_it; h_ord = (h_it == sum_H.end()) ? 0 : h_it->first; } hf_prod *= hf_fn; ++active_ord; } }

SizetSymMatrix& num_LL_q = num_LL[qoi]; for (approx=0; approx<numApprox; ++approx) { lf_index = approx * numFunctions + qoi; lf_fn = fn_vals[lf_index];

Low accumulations: if (isfinite(lf_fn)) { ++num_L_baseline[approx][qoi]; ++num_LL_q(approx,approx); // Diagonal of C matrix if (hf_is_finite) ++num_LH[approx][qoi]; // pull out of moment loop

lb_it = sum_L_baseline.begin(); ll_it = sum_LL.begin(); lh_it = sum_LH.begin(); lb_ord = (lb_it == sum_L_baseline.end()) ? 0 : lb_it->first; ll_ord = (ll_it == sum_LL.end()) ? 0 : ll_it->first; lh_ord = (lh_it == sum_LH.end()) ? 0 : lh_it->first; lf_prod = lf_fn; active_ord = 1; while (lb_ord || ll_ord || lh_ord) {

Low baseline if (lb_ord == active_ord) { // support general key sequence lb_it->second(qoi,approx) += lf_prod; ++lb_it; lb_ord = (lb_it == sum_L_baseline.end()) ? 0 : lb_it->first; } Low-Low if (ll_ord == active_ord) { // support general key sequence ll_it->second[qoi](approx,approx) += lf_prod * lf_prod; Off-diagonal of C matrix: look back (only) for single capture of each combination for (approx2=0; approx2<approx; ++approx2) { lf2_index = approx2 * numFunctions + qoi; lf2_fn = fn_vals[lf2_index];

if (isfinite(lf2_fn)) { // both are finite if (active_ord == 1) ++num_LL_q(approx,approx2); lf2_prod = lf2_fn; for (m=1; m<active_ord; ++m) lf2_prod *= lf2_fn; ll_it->second[qoi](approx,approx2) += lf_prod * lf2_prod; } } ++ll_it; ll_ord = (ll_it == sum_LL.end()) ? 0 : ll_it->first; } Low-High (c vector for each QoI): if (lh_ord == active_ord) { if (hf_is_finite) { hf_prod = hf_fn; for (m=1; m<active_ord; ++m) hf_prod *= hf_fn; lh_it->second(qoi,approx) += lf_prod * hf_prod; } ++lh_it; lh_ord = (lh_it == sum_LH.end()) ? 0 : lh_it->first; }

lf_prod *= lf_fn; ++active_ord; } } } } } }

Single moment version with fine-grained fault tolerance, used by offline-pilot and pilot-projection ACV following shared_increment() void NonDACVSampling:: accumulate_acv_sums(RealMatrix& sum_L_baseline, RealVector& sum_H, RealSymMatrixArray& sum_LL, // L w/ itself + other L RealMatrix& sum_LH, // each L with H RealVector& sum_HH, Sizet2DArray& num_L_baseline, SizetArray& num_H, SizetSymMatrixArray& num_LL, Sizet2DArray& num_LH) { uses one set of allResponses with QoI aggregation across all Models, ordered by unorderedModels[i-1], i=1:numApprox --> truthModel

using std::isfinite; Real lf_fn, lf2_fn, hf_fn; IntRespMCIter r_it; size_t qoi, approx, approx2, lf_index, lf2_index, hf_index; bool hf_is_finite;

for (r_it=allResponses.begin(); r_it!=allResponses.end(); ++r_it) { const Response& resp = r_it->second; const RealVector& fn_vals = resp.function_values(); const ShortArray& asv = resp.active_set_request_vector(); hf_index = numApprox * numFunctions;

for (qoi=0; qoi<numFunctions; ++qoi, ++hf_index) { hf_fn = fn_vals[hf_index]; hf_is_finite = isfinite(hf_fn); High accumulations: if (hf_is_finite) { // neither NaN nor +/-Inf ++num_H[qoi]; sum_H[qoi] += hf_fn; // High sum_HH[qoi] += hf_fn * hf_fn; // High-High }

SizetSymMatrix& num_LL_q = num_LL[qoi]; RealSymMatrix& sum_LL_q = sum_LL[qoi]; for (approx=0; approx<numApprox; ++approx) { lf_index = approx * numFunctions + qoi; lf_fn = fn_vals[lf_index];

Low accumulations: if (isfinite(lf_fn)) { ++num_L_baseline[approx][qoi]; sum_L_baseline(qoi,approx) += lf_fn; // Low

++num_LL_q(approx,approx); // Diagonal of C matrix sum_LL_q(approx,approx) += lf_fn * lf_fn; // Low-Low Off-diagonal of C matrix: look back (only) for single capture of each combination for (approx2=0; approx2<approx; ++approx2) { lf2_index = approx2 * numFunctions + qoi; lf2_fn = fn_vals[lf2_index]; if (isfinite(lf2_fn)) { // both are finite ++num_LL_q(approx,approx2); sum_LL_q(approx,approx2) += lf_fn * lf2_fn; } }

if (hf_is_finite) { ++num_LH[approx][qoi]; sum_LH(qoi,approx) += lf_fn * hf_fn;// Low-High (c vector)
} } } } } } This version used by ACV following shared_approx_increment()

References Analyzer::allResponses, Response::function_values(), NonDNonHierarchSampling::numApprox, and Analyzer::numFunctions.


The documentation for this class was generated from the following files: