Vol. 23 No. 5 December (Rule-Based Machine Translation; RBMT (Nirenburg 1989)) 2 (Statistical Machine Translation; SMT (Brown, Pietra, Piet

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1 Graham Neubig, Sakriani Sakti 2 Improving Pivot Translation by Remembering the Pivot Akiva Miura, Graham Neubig,, Sakriani Sakti, Tomoki Toda and Satoshi Nakamura In statistical machine translation, the pivot translation approach allows for translation of language pairs with little or no parallel data by introducing a third language for which data exists. In particular, the triangulation method, which translates by combining source-pivot and pivot-target translation models into a source-target model is known for its high translation accuracy. However, in the conventional triangulation method, information of pivot phrases is forgotten, and not used in the translation process. In this research, we propose a novel approach to remember the pivot phrases in the triangulation stage, and use a pivot language model as an additional information source at translation phase. Experimental results on the united nations parallel corpus showed significant improvements in all tested combinations of languages. Key Words: Statistical Machine Translation, Multilinguality, Pivot Translation, Synchronous Context-Free Grammars, Language Models, Parallel Corpora, Graduate School of Information Science, Nara Institute of Science and Technology, Language Technologies Institute, Carnegie Mellon University, Information Technology Center, Nagoya University

2 Vol. 23 No. 5 December (Rule-Based Machine Translation; RBMT (Nirenburg 1989)) 2 (Statistical Machine Translation; SMT (Brown, Pietra, Pietra, and Mercer 1993)) 2 SMT (Dyer, Cordova, Mont, and Lin 2008) (Pvt) (de Gispert and Mariño 2006; Cohn and Lapata 2007; Zhu, He, Wu, Zhu, Wang, and Zhao 2014) 2 (Cascade Translation (de Gispert and Mariño 2006)) (Src-Pvt) (Pvt-Trg) 2 SMT (Src-Trg) SMT (Triangulation (Cohn and Lapata 2007)) (Utiyama and Isahara 2007) SMT (Phrase-Based Machine Translation; PBMT (Koehn, Och, and Marcu 2003)) 500

3 Neubig Sakti, 1 2 PBMT SMT (Synchronous Context-Free Grammar; SCFG (Chiang 2007)) SMT PBMT PBMT SCFG Src-Trg Src-Pvt Pvt-Trg Src-Trg 1 (a) (b) (c) (d) 1(c) Src-Trg

4 Vol. 23 No. 5 December PBMT SMT 1.1 PBMT SMT SCFG SCFG PBMT 1 2 1(c) 1.1 SMT SMT 1 2 SMT 2.1 SMT PBMT, 2.2 SCFG, 2.3 SCFG 3 Multi-Synchronous Context-Free Grammar; MSCFG, ( Neubig Sakti 2014, 2015) ACL 2015: The 53rd Annual Meeting of the Association for Computational Linguistics (Miura, Neubig, Sakti, Toda, and Nakamura 2015) 502

5 Neubig Sakti, 2.1 SMT (Shannon 1948) f E(f) f e E(f) P r(e f) e SMT P r(e f) ê E(f) ê = arg max P r(e f) (1) e E(f) = arg max e E(f) P r(f e)p r(e) P r(f) = arg max P r(f e)p (e) (3) e E(f) (Och 2003) ê = arg max P r(e f) (4) e E(f) arg max e E(f) exp ( w T h(f, e ) e exp (w T h(f, e )) = arg max w T h(f, e) (6) e E(f) h P r(e) P r(f e) SMT w h w BLEU(Papineni, Roukos, Ward, and Zhu 2002) (Och 2003) 2.2 (2) (5) 503

6 Vol. 23 No. 5 December Koehn (PBMT (Koehn et al. 2003)) SMT PBMT (Brown et al. 1993) PBMT PBMT (6) PBMT 2 (Goto, Utiyama, Sumita, Tamura, and Kurohashi 2013)

7 Neubig Sakti, 2.3 SMT (SCFG (Chiang 2007)) SCFG (Hierarchical Phrase-Based Translation; Hiero (Chiang 2007)) SCFG X s, t (7) X s t s t X X 0 of X 1, X 1 X 0 (8) Hiero SCFG PBMT X i SCFG 2 X X 0 hit X 1., X 0 X 1 (9) X John, (10) X a ball, (11) S S X 0, X 0 S = X 0, X 0 (12) = X 1 hit X 2., X 1 X 2 (13) = John hit X 2., X 2 (14) = John hit a ball., (15) SCFG ϕ(s t) ϕ(t s) ϕ lex (s t) ϕ lex (t s) t

8 Vol. 23 No. 5 December 2016 CKY+ (Chappelier and Rajman 1998) (Chiang 2007) 2.4 SCFG (MSCFG (Neubig, Arthur, and Duh 2015)) SCFG t MSCFG N X s, t 1,, t N (16) MSCFG SCFG 3 1 N 1 SCFG PBMT MSCFG 3 3 PBMT MSCFG 506

9 Neubig Sakti, 3 2 SMT SMT SMT 100 SMT PBMT 4 PBMT SCFG Src Trg Pvt Src-Pvt, Src-Trg, Pvt-Trg 3.1 (Cascade) (de Gispert and Mariño 2006) Src Trg 4 Src-Pvt, Pvt-Trg Src Pvt Pvt Trg Src Trg 4 507

10 Vol. 23 No. 5 December 2016 PBMT 2 Src-Pvt n Pvt-Trg (Utiyama and Isahara 2007) n 3.2 Src-Trg SMT (Synthetic) (de Gispert and Mariño 2006) Src-Trg 5 Src-Pvt, Pvt-Trg Pvt-Trg SMT Src-Pvt Pvt Pvt-Trg Src-Trg Src-Trg SMT SMT De Gispert (de Gispert and Mariño 2006) 5 508

11 Neubig Sakti, 3.3 PBMT SCFG Src-Trg 6 Cohn (Triangulation) (Cohn and Lapata 2007) Src-Pvt Pvt-Trg T SP, T P T T SP, T P T Src-Trg T ST T ST ϕ( ) ϕ lex ( ) ϕ ( t s ) ( ) = ϕ t p ϕ (p s) (17) p T SP T P T ϕ ( s t ) ( ) = ϕ (s p) ϕ p t (18) p T SP T P T ( ) ( ) ϕ lex t s = t p ϕlex (p s) (19) p T SP T P T ϕ lex ( ) ( ) ϕ lex s t = ϕ lex (s p) ϕ lex p t p T SP T P T (20) s, p, t Src, Pvt, Trg p T SP T P T p T SP, T P T (17) (20) ϕ ( t p, s ) = ϕ ( t p ) (21) ϕ ( s p, t ) = ϕ (s p) (22) 6 509

12 Vol. 23 No. 5 December 2016 Utiyama (Utiyama and Isahara 2007) n = 1 n = 15 BLEU 4 3 SMT SCFG SMT PBMT SCFG (7) SCFG PBMT PBMT SCFG 4.1 SCFG Src-Pvt, Pvt-Trg 2.3 Src-Pvt, Pvt-Trg Pvt X s, p, X p, t X s, t (17) (20) PBMT s, p, t SCFG X s, t X p, t PBMT PBMT 510

13 Neubig Sakti, SCFG (Ziemski, Junczys-Dowmunt, and Pouliquen 2016) (En) (Ar) (Es) (Fr) (Ru) (Zh) 6 1,100 6 SMT 5 Src-Pvt Pvt-Trg Src-Trg Pvt (train) 1,100 (test) 4,000 (dev) 4,000 train 60 test, dev 80 train 800 test, dev 3,800 train Src-Pvt train1 Pvt-Trg train2 10 test dev 1,500 PBMT SCFG SMT Direct Pvt Src-Trg train1 train2 train1, train2 Direct 1 Direct 2 Direct 1 / 2 Cascade Src-Pvt, Pvt-Trg train1 train2 Src-Trg Triangulation Src-Pvt, Pvt-Trg train1, train2 Src-Trg KyTea (Neubig, Nakata, 511

14 Vol. 23 No. 5 December 2016 and Mori 2011) PBMT Moses (Koehn, Hoang, Birch, Callison-Burch, Federico, Bertoldi, Cowan, Shen, Moran, Zens, Dyer, Bojar, Constantin, and Herbst 2007) SCFG Travatar (Neubig 2013) Hiero KenLM (Heafield 2011) train1+train gram BLEU (Papineni et al. 2002) SMT MERT (Och 2003) BLEU 4.3 Direct 1 / 2, Triangulation, Cascade 1 PBMT Triangulation Cascade 4.1 SCFG Triangulation Cascade SMT Triangulation Cascade Triangulation Direct Hiero Direct BLEU Triangulation BLEU Direct Triangulation Direct BLEU 15 Triangulation Hiero Triangulation Direct PBMT Hiero Hiero PBMT Hiero Triangulation PBMT 0.5 BLEU Hiero 512

15 Neubig Sakti, 1 Source Target MT Method Ar Es Fr Ru Zh Es Fr Ru Zh Ar Fr Ru Zh Ar Es Ru Zh Ar Es Fr Zh Ar Es Fr Ru BLEU Score (%) Direct 1 / 2 Triangulation Cascade PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT 8.93 / Hiero / PBMT / Hiero / PBMT / Hiero / PBMT / Hiero /

16 Vol. 23 No. 5 December Europarl (Koehn 2005) Europarl 10 1,500 Src-Pvt Pvt-Trg 4.3 PBMT Hiero Triangulation Cascade 2 Triangulation Direct PBMT Hiero PBMT PBMT SCFG SCFG PBMT PBMT (Utiyama and Isahara 2007) 1 (Zhu et al. 2014) (Levinboim and Chiang 2015) 514

17 Neubig Sakti, (Dabre, Cromieres, Kurohashi, and Bhattacharyya 2015) 5 3 SMT 4 SCFG SCFG PBMT Src-Trg Src-Pvt, Pvt-Trg Src-Trg Src-Trg 7 3 approach Src-Trg 8 Src Trg Pvt

18 Vol. 23 No. 5 December 2016 Src-Trg Pvt 5.2 Src Trg Pvt Src Trg Pvt 9 SCFG 2.3 MSCFG 2.4 MSCFG Src-Pvt, Pvt-Trg SCFG SCFG Src-Trg-Pvt MSCFG Pvt

19 Neubig Sakti, SCFG MSCFG SCFG Src-Pvt, Pvt-Trg Pvt X s, p, X p, t X s, t (17) (20) X s, p, X p, t X s, t, p (23) (17) (20) Trg Pvt ϕ ( t, p s ) ϕ ( s p, t ) ϕ ( t, p s ) = ϕ ( t p ) ϕ (p s) (24) ϕ ( s p, t ) = ϕ (s p) (25) Src-Pvt ϕ (p s) ϕ (s p) ϕ lex (p s) ϕ lex (s p) T SP 10 ϕ ( t s ) ϕ ( s t ) ϕ (p s) ϕ (s p) ( ) ( ) ϕ lex t s ϕlex s t ϕlex (p s) ϕ lex (s p) ϕ ( t, p s ) ϕ ( s p, t ) t p MSCFG 5.4 s, t s, t, p Neubig T 1 T 2 T 1 - (Neubig et al. 2015) T 1 = T rg T 2 = P vt s T rg ϕ ( t s ) L t t ϕ ( t, p s ) p 517

20 Vol. 23 No. 5 December (En) (Ar) (Es) (Fr) (Ru) (Zh) 5 Src-Pvt (train1) 10 Pvt-Trg (train2) 10 (test) (dev) 1, train1+train SCFG MSCFG Travatar (Neubig 2013) Hiero SCFG BLEU (Papineni et al. 2002) MERT (Och 2003) BLEU MSCFG L = 20 T 1-6 Cascade Src-Pvt Pvt-Trg SCFG 3.1 w/ PvtLM 200k/5M Src-Pvt Tri. SCFG SCFG Src-Pvt Pvt-Trg SCFG Src-Trg SCFG 3.3 Tri. MSCFG MSCFG Src-Pvt Pvt-Trg SCFG Src-Trg-Pvt MSCFG 5 w/o PvtLM w/ PvtLM 200k/5M

21 Neubig Sakti, (Koehn 2004) Tri. SCFG BLEU Tri. SCFG ( : p < 0.05, : p < 0.01) BLEU BLEU MSCFG (Tri. MSCFG w/o PvtLM) 2 Src Ar Es Fr Ru Zh Trg Cascade w/ PvtLM 200k Cascade w/ PvtLM 5M BLEU Score (%) Tri. SCFG (baseline) Tri. MSCFG w/o PvtLM Tri. MSCFG w/ PvtLM 200k Tri. MSCFG w/ PvtLM 5M Es Fr Ru Zh Ar Fr Ru Zh Ar Es Ru Zh Ar Es Fr Zh Ar Es Fr Ru

22 Vol. 23 No. 5 December 2016 SCFG 500 (Cascade w/ PvtLM 5M). Cascade w/ PvtLM 5M 20 (Cascade w/ PvtLM 200k) Zh-Ar Zh-Ru Tri. SCFG Tri. MSCFG w/ PvtLM 5M Cascade w/ PvtLM 5M

23 Neubig Sakti, (Brants, Popat, Xu, Och, and Dean 2007) Le nom du candidat proposé est indiqué dans l annexa à la présente note. El nombre del candidato propuesto se presenta en el anexo de la presente nota. The name of the candidate thus nominated is set out in the annex to the present note. Tri. SCFG: El nombre del proyecto de un candidato se indica en el anexo a la presente nota. (BLEU+1: 34.99) Tri. MSCFG w/ PvtLM 5M: El nombre del candidato propuesto se indica en el anexo a la presente nota. (BLEU+1: 61.13) The name of the candidate proposed indicated in the annex to the present note. proposé propuesto proyecto proposé propuesto proposed J. Risques d aspiration : citère de viscosité pour la classification des mélanges ; J. Peligros por aspiración : criterio de viscosidad para la clasificación de mezclas ; J. Aspiration hazards : viscosity criterion for classification of mixtures ; 521

24 Vol. 23 No. 5 December 2016 Direct 1: J. Riesgos d aspiration : criterio de viscosité para la clasificación de los mélanges ; (BLEU+1: 34.20) Direct 2: J. Riesgos d aspiration : criterio de viscosité para la clasificación de mezclas ; (BLEU+1: 49.16) Tri. MSCFG w/ PvtLM 2M: J. Riesgos d aspiration : viscosité criterios para la clasificación de mélanges ; (BLEU+1: 27.61) J. Risk d aspiration : viscosité criteria for the categorization of mélanges ; d aspiration mélanges d aspiration train1 train2 Direct 1 / 2 mélanges train2 Direct 1 2 criterio criterios 6.5 Europarl 4.4 Europarl Tri. SCFG Cascade Stanford POS Tagger (Toutanova and Manning 2000; Toutanova, Klein, Manning, and Singer 2003) F 522

25 Neubig Sakti, 3 4 F 3 F F Direct F Direct Direct F 3 Direct F-Measure (%) Tri. MSCFG w/ PvtLM 2M Tri.SCFG NC 8, (+0.01) P 6, (+1.02) DET 5, (+1.50) PUNC 4, (+0.44) ADJ 3, (+0.67) V 3, (+1.06) ADV 2, (+0.34) Direct F-Measure (%) Tri. MSCFG w/ PvtLM 2M Tri.SCFG NN 10, (+0.53) ART 4, (+1.24) CARD 3, ( 0.44) APPR 2, (+1.50) ADJA 2, (+0.47) NE 2, (+0.47) ADV 1, (+0.18) PPEF 1, (+1.67)

26 Vol. 23 No. 5 December F Direct 7 PBMT SCFG 6 524

27 Neubig Sakti, 1 SCFG 2 JSPS 16H ATR-Trek Brants, T., Popat, A. C., Xu, P., Och, F. J., and Dean, J. (2007). Large Language Models in Machine Translation. In Proceedings EMNLP, pp

28 Vol. 23 No. 5 December 2016 Brown, P. F., Pietra, V. J., Pietra, S. A. D., and Mercer, R. L. (1993). The Mathematics of Statistical Machine Translation: Parameter Estimation. Computational Linguistics, 19, pp Chappelier, J.-C. and Rajman, M. (1998). A Generalized CYK Algorithm for Parsing Stochastic CFG. In Proceedings TAPD, Vol. 98, No. 5, pp Chiang, D. (2007). Hierarchical Phrase-based Translation. Computational Linguistics, 33 (2), pp Cohn, T. and Lapata, M. (2007). Machine Translation by Triangulation: Making Effective Use of Multi-Parallel Corpora. In Proceedings ACL, pp Dabre, R., Cromieres, F., Kurohashi, S., and Bhattacharyya, P. (2015). Leveraging Small Multilingual Corpora for SMT Using Many Pivot Languages. In Proceedings NAACL, pp de Gispert, A. and Mariño, J. B. (2006). Catalan-English Statistical Machine Translation without Parallel Corpus: Bridging through Spanish. In Proceedings of LREC 5th Workshop on Strategies for Developing Machine Translation for Minority Languages, pp Dyer, C., Cordova, A., Mont, A., and Lin, J. (2008). Fast, Easy, and Cheap: Construction of Statistical Machine Translation Models with MapReduce. In Proceedings WMT, pp Goto, I., Utiyama, M., Sumita, E., Tamura, A., and Kurohashi, S. (2013). Distortion Model Considering Rich Context for Statistical Machine Translation. In Proceedings ACL, pp Heafield, K. (2011). KenLM: Faster and Smaller Language Model Queries. In Proceedings, WMT, pp Koehn, P. (2004). Statistical Significance Tests for Machine Translation Evaluation. In Lin, D. and Wu, D. (Eds.), Proceedings EMNLP, pp Koehn, P. (2005). Europarl: A Parallel Corpus for Statistical Machine Translation. In MT Summit, Vol. 5, pp Koehn, P., Hoang, H., Birch, A., Callison-Burch, C., Federico, M., Bertoldi, N., Cowan, B., Shen, W., Moran, C., Zens, R., Dyer, C., Bojar, O., Constantin, A., and Herbst, E. (2007). Moses: Open Source Toolkit for Statistical Machine Translation. In Proceedings ACL, pp Koehn, P., Och, F. J., and Marcu, D. (2003). Statistical Phrase-Based Translation. In Proceedings NAACL, pp Levinboim, T. and Chiang, D. (2015). Supervised Phrase Table Triangulation with Neural Word Embeddings for Low-Resource Languages. In Proceedings EMNLP, pp Neubig Graham Sakti Sakriani (2014) (SIG-NL), 526

29 Neubig Sakti, 20, pp Neubig Graham Sakti Sakriani (2015) (SIG-NL), 2, pp Miura, A., Neubig, G., Sakti, S., Toda, T., and Nakamura, S. (2015). Improving Pivot Translation by Remembering the Pivot. In Proceedings ACL, pp Neubig, G. (2013). Travatar: A Forest-to-String Machine Translation Engine based on Tree Transducers. In Proceedings ACL Demo Track, pp Neubig, G., Arthur, P., and Duh, K. (2015). Multi-Target Machine Translation with Multi- Synchronous Context-free Grammars. In Proceedings NAACL, pp Neubig, G., Nakata, Y., and Mori, S. (2011). Pointwise Prediction for Robust, Adaptable Japanese Morphological Analysis. In Proceedings ACL, pp Nirenburg, S. (1989). Knowledge-Based Machine Translation. Machine Translation, 4 (1), pp Och, F. J. (2003). Minimum Error Rate Training in Statistical Machine Translation. In Proceedings ACL, pp Papineni, K., Roukos, S., Ward, T., and Zhu, W.-J. (2002). BLEU: A Method for Automatic Evaluation of Machine Translation. In Proceedings ACL, pp Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27 (3), pp Toutanova, K., Klein, D., Manning, C. D., and Singer, Y. (2003). Feature-rich Part-of-speech Tagging with a Cyclic Dependency Network. In Proceedings NAACL, pp Toutanova, K. and Manning, C. D. (2000). Enriching the Knowledge Sources Used in a Maximum Entropy Part-of-Speech Tagger. In Proceedings EMNLP, pp Utiyama, M. and Isahara, H. (2007). A Comparison of Pivot Methods for Phrase-Based Statistical Machine Translation. In Proceedings NAACL, pp Zhu, X., He, Z., Wu, H., Zhu, C., Wang, H., and Zhao, T. (2014). Improving Pivot-Based Statistical Machine Translation by Pivoting the Co-occurrence Count of Phrase Pairs. In Proceedings EMNLP, pp Ziemski, M., Junczys-Dowmunt, M., and Pouliquen, B. (2016). The United Nations Parallel Corpus v1.0. In Proceedings LREC, pp

30 Vol. 23 No. 5 December ACL Graham Neubig: Sakriani Sakti: ATR INRIA JNS SFN ASJ ISCA IEICE IEEE PD IEEE ATR 2006 ATR Antonio Zampoli ISCA IEEE SLTC IEEE

Vol. 23 No. 5 December (Rule-Based Machine Translation; RBMT (Nirenburg 1989)) 2 (Statistical Machine Translation; SMT (Brown, Pietra, Piet

Vol. 23 No. 5 December (Rule-Based Machine Translation; RBMT (Nirenburg 1989)) 2 (Statistical Machine Translation; SMT (Brown, Pietra, Piet Graham Neubig, Sakriani Sakti 2,,,,, Improving Pivot Translation by Remembering the Pivot Akiva Miura, Graham Neubig,, Sakriani Sakti, Tomoki Toda and Satoshi Nakamura In statistical machine translation,

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