id sid tid token lemma pos 8910js97687 1 1 this this DET 8910js97687 1 2 thesis thesis NOUN 8910js97687 1 3 is be AUX 8910js97687 1 4 devoted devote VERB 8910js97687 1 5 to to ADP 8910js97687 1 6 primal primal ADJ 8910js97687 1 7 - - PUNCT 8910js97687 1 8 dual dual ADJ 8910js97687 1 9 algorithms algorithm NOUN 8910js97687 1 10 in in ADP 8910js97687 1 11 the the DET 8910js97687 1 12 infinite infinite ADJ 8910js97687 1 13 - - PUNCT 8910js97687 1 14 dimensional dimensional ADJ 8910js97687 1 15 setting setting NOUN 8910js97687 1 16 . . PUNCT 8910js97687 2 1 we we PRON 8910js97687 2 2 consider consider VERB 8910js97687 2 3 a a DET 8910js97687 2 4 class class NOUN 8910js97687 2 5 of of ADP 8910js97687 2 6 infinite infinite ADJ 8910js97687 2 7 - - PUNCT 8910js97687 2 8 dimensional dimensional ADJ 8910js97687 2 9 optimization optimization NOUN 8910js97687 2 10 problems problem NOUN 8910js97687 2 11 and and CCONJ 8910js97687 2 12 its its PRON 8910js97687 2 13 applications application NOUN 8910js97687 2 14 to to ADP 8910js97687 2 15 optimal optimal ADJ 8910js97687 2 16 control control NOUN 8910js97687 2 17 problems problem NOUN 8910js97687 2 18 . . PUNCT 8910js97687 3 1 a a DET 8910js97687 3 2 primal primal ADJ 8910js97687 3 3 - - PUNCT 8910js97687 3 4 dual dual ADJ 8910js97687 3 5 algorithm algorithm NOUN 8910js97687 3 6 based base VERB 8910js97687 3 7 on on ADP 8910js97687 3 8 nesterov nesterov PROPN 8910js97687 3 9 - - PUNCT 8910js97687 3 10 todd todd ADJ 8910js97687 3 11 direction direction NOUN 8910js97687 3 12 is be AUX 8910js97687 3 13 implemented implement VERB 8910js97687 3 14 . . PUNCT 8910js97687 4 1 we we PRON 8910js97687 4 2 apply apply VERB 8910js97687 4 3 this this DET 8910js97687 4 4 algorithm algorithm NOUN 8910js97687 4 5 to to ADP 8910js97687 4 6 two two NUM 8910js97687 4 7 important important ADJ 8910js97687 4 8 control control NOUN 8910js97687 4 9 problems problem NOUN 8910js97687 4 10 : : PUNCT 8910js97687 4 11 multi multi NOUN 8910js97687 4 12 - - NOUN 8910js97687 4 13 criteria criterion NOUN 8910js97687 4 14 linear linear ADJ 8910js97687 4 15 - - PUNCT 8910js97687 4 16 quadratic quadratic ADJ 8910js97687 4 17 control control NOUN 8910js97687 4 18 problems problem NOUN 8910js97687 4 19 and and CCONJ 8910js97687 4 20 linear linear ADJ 8910js97687 4 21 - - PUNCT 8910js97687 4 22 quadratic quadratic ADJ 8910js97687 4 23 control control NOUN 8910js97687 4 24 problems problem NOUN 8910js97687 4 25 with with ADP 8910js97687 4 26 quadratic quadratic ADJ 8910js97687 4 27 constraints constraint NOUN 8910js97687 4 28 . . PUNCT 8910js97687 5 1 numerical numerical ADJ 8910js97687 5 2 experiments experiment NOUN 8910js97687 5 3 confirm confirm VERB 8910js97687 5 4 very very ADV 8910js97687 5 5 fast fast ADJ 8910js97687 5 6 convergence convergence NOUN 8910js97687 5 7 of of ADP 8910js97687 5 8 the the DET 8910js97687 5 9 algorithm algorithm NOUN 8910js97687 5 10 which which PRON 8910js97687 5 11 is be AUX 8910js97687 5 12 predicted predict VERB 8910js97687 5 13 by by ADP 8910js97687 5 14 the the DET 8910js97687 5 15 theory theory NOUN 8910js97687 5 16 based base VERB 8910js97687 5 17 on on ADP 8910js97687 5 18 the the DET 8910js97687 5 19 concept concept NOUN 8910js97687 5 20 of of ADP 8910js97687 5 21 infinite infinite ADJ 8910js97687 5 22 - - PUNCT 8910js97687 5 23 dimensional dimensional ADJ 8910js97687 5 24 jordan jordan PROPN 8910js97687 5 25 algebras algebras PROPN 8910js97687 5 26 . . PUNCT 8910js97687 6 1 necessary necessary ADJ 8910js97687 6 2 theoretical theoretical ADJ 8910js97687 6 3 results result NOUN 8910js97687 6 4 have have AUX 8910js97687 6 5 been be AUX 8910js97687 6 6 developed develop VERB 8910js97687 6 7 . . PUNCT 8910js97687 7 1 to to ADP 8910js97687 7 2 the the DET 8910js97687 7 3 best good ADJ 8910js97687 7 4 of of ADP 8910js97687 7 5 our our PRON 8910js97687 7 6 knowledge knowledge NOUN 8910js97687 7 7 this this PRON 8910js97687 7 8 is be AUX 8910js97687 7 9 the the DET 8910js97687 7 10 first first ADJ 8910js97687 7 11 implementation implementation NOUN 8910js97687 7 12 of of ADP 8910js97687 7 13 this this DET 8910js97687 7 14 class class NOUN 8910js97687 7 15 of of ADP 8910js97687 7 16 algorithms algorithm NOUN 8910js97687 7 17 . . PUNCT