id sid tid token lemma pos rx913n22j04 1 1 a a DET rx913n22j04 1 2 strategy strategy NOUN rx913n22j04 1 3 for for ADP rx913n22j04 1 4 global global ADJ rx913n22j04 1 5 optimization optimization NOUN rx913n22j04 1 6 based base VERB rx913n22j04 1 7 upon upon SCONJ rx913n22j04 1 8 local local ADJ rx913n22j04 1 9 approximate approximate ADJ rx913n22j04 1 10 optimization optimization NOUN rx913n22j04 1 11 has have AUX rx913n22j04 1 12 been be AUX rx913n22j04 1 13 developed develop VERB rx913n22j04 1 14 in in ADP rx913n22j04 1 15 this this DET rx913n22j04 1 16 research research NOUN rx913n22j04 1 17 . . PUNCT rx913n22j04 2 1 the the DET rx913n22j04 2 2 global global ADJ rx913n22j04 2 3 design design NOUN rx913n22j04 2 4 space space NOUN rx913n22j04 2 5 is be AUX rx913n22j04 2 6 divided divide VERB rx913n22j04 2 7 into into ADP rx913n22j04 2 8 local local ADJ rx913n22j04 2 9 regions region NOUN rx913n22j04 2 10 . . PUNCT rx913n22j04 3 1 accurate accurate ADJ rx913n22j04 3 2 kriging kriging ADJ rx913n22j04 3 3 approximations approximation NOUN rx913n22j04 3 4 are be AUX rx913n22j04 3 5 constructed construct VERB rx913n22j04 3 6 in in ADP rx913n22j04 3 7 the the DET rx913n22j04 3 8 local local ADJ rx913n22j04 3 9 regions region NOUN rx913n22j04 3 10 to to PART rx913n22j04 3 11 provide provide VERB rx913n22j04 3 12 an an DET rx913n22j04 3 13 inexpensive inexpensive ADJ rx913n22j04 3 14 formulation formulation NOUN rx913n22j04 3 15 of of ADP rx913n22j04 3 16 the the DET rx913n22j04 3 17 system system NOUN rx913n22j04 3 18 behavior behavior NOUN rx913n22j04 3 19 . . PUNCT rx913n22j04 4 1 each each DET rx913n22j04 4 2 kriging krige VERB rx913n22j04 4 3 approximation approximation NOUN rx913n22j04 4 4 is be AUX rx913n22j04 4 5 validated validate VERB rx913n22j04 4 6 by by ADP rx913n22j04 4 7 using use VERB rx913n22j04 4 8 a a DET rx913n22j04 4 9 cross cross ADJ rx913n22j04 4 10 - - ADJ rx913n22j04 4 11 validation validation ADJ rx913n22j04 4 12 scheme scheme NOUN rx913n22j04 4 13 . . PUNCT rx913n22j04 5 1 gradient gradient NOUN rx913n22j04 5 2 based base VERB rx913n22j04 5 3 local local ADJ rx913n22j04 5 4 optimizers optimizer NOUN rx913n22j04 5 5 are be AUX rx913n22j04 5 6 used use VERB rx913n22j04 5 7 to to PART rx913n22j04 5 8 identify identify VERB rx913n22j04 5 9 local local ADJ rx913n22j04 5 10 optima optima NOUN rx913n22j04 5 11 in in ADP rx913n22j04 5 12 each each PRON rx913n22j04 5 13 of of ADP rx913n22j04 5 14 the the DET rx913n22j04 5 15 regions region NOUN rx913n22j04 5 16 . . PUNCT rx913n22j04 6 1 a a DET rx913n22j04 6 2 reduced reduce VERB rx913n22j04 6 3 trust trust NOUN rx913n22j04 6 4 region region NOUN rx913n22j04 6 5 around around ADP rx913n22j04 6 6 the the DET rx913n22j04 6 7 local local ADJ rx913n22j04 6 8 optimum optimum NOUN rx913n22j04 6 9 is be AUX rx913n22j04 6 10 further far ADV rx913n22j04 6 11 analyzed analyze VERB rx913n22j04 6 12 to to PART rx913n22j04 6 13 provide provide VERB rx913n22j04 6 14 the the DET rx913n22j04 6 15 global global ADJ rx913n22j04 6 16 optimum optimum ADJ rx913n22j04 6 17 solutions solution NOUN rx913n22j04 6 18 . . PUNCT rx913n22j04 7 1 this this DET rx913n22j04 7 2 approach approach NOUN rx913n22j04 7 3 possesses possess VERB rx913n22j04 7 4 the the DET rx913n22j04 7 5 capability capability NOUN rx913n22j04 7 6 of of ADP rx913n22j04 7 7 identifying identify VERB rx913n22j04 7 8 global global ADJ rx913n22j04 7 9 optimum optimum ADJ rx913n22j04 7 10 solutions solution NOUN rx913n22j04 7 11 within within ADP rx913n22j04 7 12 reduced reduce VERB rx913n22j04 7 13 time time NOUN rx913n22j04 7 14 frames frame NOUN rx913n22j04 7 15 as as SCONJ rx913n22j04 7 16 compared compare VERB rx913n22j04 7 17 to to ADP rx913n22j04 7 18 existing existing ADJ rx913n22j04 7 19 methods method NOUN rx913n22j04 7 20 . . PUNCT rx913n22j04 8 1 a a DET rx913n22j04 8 2 second second ADJ rx913n22j04 8 3 investigation investigation NOUN rx913n22j04 8 4 focused focus VERB rx913n22j04 8 5 on on ADP rx913n22j04 8 6 the the DET rx913n22j04 8 7 formulation formulation NOUN rx913n22j04 8 8 and and CCONJ rx913n22j04 8 9 development development NOUN rx913n22j04 8 10 of of ADP rx913n22j04 8 11 a a DET rx913n22j04 8 12 nonlinear nonlinear ADJ rx913n22j04 8 13 post post ADJ rx913n22j04 8 14 - - ADJ rx913n22j04 8 15 optimality optimality ADJ rx913n22j04 8 16 analysis analysis NOUN rx913n22j04 8 17 . . PUNCT rx913n22j04 9 1 the the DET rx913n22j04 9 2 non non ADJ rx913n22j04 9 3 - - ADJ rx913n22j04 9 4 linear linear ADJ rx913n22j04 9 5 response response NOUN rx913n22j04 9 6 of of ADP rx913n22j04 9 7 the the DET rx913n22j04 9 8 system system NOUN rx913n22j04 9 9 is be AUX rx913n22j04 9 10 captured capture VERB rx913n22j04 9 11 through through ADP rx913n22j04 9 12 local local ADJ rx913n22j04 9 13 approximations approximation NOUN rx913n22j04 9 14 . . PUNCT rx913n22j04 10 1 a a DET rx913n22j04 10 2 cumulative cumulative ADJ rx913n22j04 10 3 approximation approximation NOUN rx913n22j04 10 4 is be AUX rx913n22j04 10 5 constructed construct VERB rx913n22j04 10 6 from from ADP rx913n22j04 10 7 the the DET rx913n22j04 10 8 local local ADJ rx913n22j04 10 9 response response NOUN rx913n22j04 10 10 surface surface NOUN rx913n22j04 10 11 approximations approximation NOUN rx913n22j04 10 12 via via ADP rx913n22j04 10 13 a a DET rx913n22j04 10 14 blending blend VERB rx913n22j04 10 15 function function NOUN rx913n22j04 10 16 . . PUNCT rx913n22j04 11 1 the the DET rx913n22j04 11 2 post post ADJ rx913n22j04 11 3 - - ADJ rx913n22j04 11 4 optimal optimal ADJ rx913n22j04 11 5 solution solution NOUN rx913n22j04 11 6 is be AUX rx913n22j04 11 7 obtained obtain VERB rx913n22j04 11 8 by by ADP rx913n22j04 11 9 performing perform VERB rx913n22j04 11 10 optimization optimization NOUN rx913n22j04 11 11 over over ADP rx913n22j04 11 12 the the DET rx913n22j04 11 13 cumulative cumulative ADJ rx913n22j04 11 14 approximation approximation NOUN rx913n22j04 11 15 of of ADP rx913n22j04 11 16 the the DET rx913n22j04 11 17 objective objective ADJ rx913n22j04 11 18 function function NOUN rx913n22j04 11 19 and and CCONJ rx913n22j04 11 20 the the DET rx913n22j04 11 21 constraints constraint NOUN rx913n22j04 11 22 . . PUNCT