emnlp emnlp2013 emnlp2013-101 knowledge-graph by maker-knowledge-mining

101 emnlp-2013-Improving Alignment of System Combination by Using Multi-objective Optimization


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Author: Tian Xia ; Zongcheng Ji ; Shaodan Zhai ; Yidong Chen ; Qun Liu ; Shaojun Wang

Abstract: This paper proposes a multi-objective optimization framework which supports heterogeneous information sources to improve alignment in machine translation system combination techniques. In this area, most of techniques usually utilize confusion networks (CN) as their central data structure to compact an exponential number of an potential hypotheses, and because better hypothesis alignment may benefit constructing better quality confusion networks, it is natural to add more useful information to improve alignment results. However, these information may be heterogeneous, so the widely-used Viterbi algorithm for searching the best alignment may not apply here. In the multi-objective optimization framework, each information source is viewed as an independent objective, and a new goal of improving all objectives can be searched by mature algorithms. The solutions from this framework, termed Pareto optimal solutions, are then combined to construct confusion networks. Experiments on two Chinese-to-English translation datasets show significant improvements, 0.97 and 1.06 BLEU points over a strong Indirected Hidden Markov Model-based (IHMM) system, and 4.75 and 3.53 points over the best single machine translation systems.

Reference: text


Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 edu + ++ Abstract This paper proposes a multi-objective optimization framework which supports heterogeneous information sources to improve alignment in machine translation system combination techniques. [sent-13, score-0.561]

2 However, these information may be heterogeneous, so the widely-used Viterbi algorithm for searching the best alignment may not apply here. [sent-15, score-0.356]

3 In the multi-objective optimization framework, each information source is viewed as an independent objective, and a new goal of improving all objectives can be searched by mature algorithms. [sent-16, score-0.303]

4 The solutions from this framework, termed Pareto optimal solutions, are then combined to construct confusion networks. [sent-17, score-0.343]

5 Experiments on two Chinese-to-English translation datasets show significant improvements, 0. [sent-18, score-0.047]

6 1 Introduction System combination (SC) techniques power of boosting translation quality in several percent over the best among all chine translation systems (Bangalore et have the BLEU by input maal. [sent-23, score-0.121]

7 A central data structure in the SC is the confusion network, and its quality greatly affects the final performance. [sent-34, score-0.187]

8 (2008) pro- posed a new hypothesis alignment algorithm for constructing high-quality confusion networks called Indirect Hidden Markov Model (IHMM), which does better in synonym matching compared with the classic translation edit rate (TER) based algorithm (Rosti et al. [sent-36, score-0.76]

9 Now, current state-of-the-art SC systems have been using IHMM or variants in their alignment algorithms more or less (Li et al. [sent-40, score-0.295]

10 Our motivation derives from an observation that in an ideal alignment ofa pair of sentences, many-tomany alignments often exist. [sent-43, score-0.381]

11 IHMM for system combination, HMM in GIZA++ software for statistical machine translation (SMT) (Och and Ney, 2000; Koehn et al. [sent-47, score-0.075]

12 However, it appears to be intractable in an IHMM model to search the optimal solution by simply defining a new goal as a product of probabilities ProceSe datintlges, o Wfa tsh ein 2g01to3n, C UoSnfAe,re 1n8c-e2 o1n O Ecmtopbier ic 2a0l1 M3. [sent-49, score-0.113]

13 (2006) adopts a simple and effective variational inference algorithm. [sent-53, score-0.033]

14 Further, different alignment algorithms capture different information and linguistic phenomena for a pair of sentences, hence more information would be expected to benefit the final alignment. [sent-54, score-0.316]

15 Liang’s method may not be suitable for this expected outcome. [sent-55, score-0.045]

16 We propose to adopt multi-objective optimization framework to support heterogeneous information sources which may induce difficulties in a conventional search algorithm. [sent-56, score-0.167]

17 In this framework, there exist a variety of matured multi-objective optimization algorithms, e. [sent-57, score-0.118]

18 In this work, we select the multi-objective evolutionary al- gorithm because of its public open source software (http://www. [sent-62, score-0.152]

19 On the other hand, this framework is also totally unsupervised. [sent-67, score-0.03]

20 This framework views any useful information benefiting alignment as an independent objective, and researchers just need to write short codes for objective definitions. [sent-69, score-0.325]

21 The search algorithm seeks for potentially better solutions which are no worse than the current solution set. [sent-70, score-0.147]

22 The output from multiobjective optimization algorithms includes a set of solutions, called Pareto optimal solutions, each one being a many-to-many alignment. [sent-71, score-0.204]

23 We then combine and normalize them into a unique one-to-one alignment to perform confusion network construction (Section 3. [sent-72, score-0.542]

24 Our work is conducted on the classic pipeline which has three modules, pair-wise hypothesis alignment, confusion network construction, and training. [sent-74, score-0.365]

25 Now many work integrates neighboring modules to avoid propagated errors to gain improved performance. [sent-75, score-0.088]

26 (2009) combine the first and the second module, and He and Toutanova (2009) combine all modules into one directly. [sent-78, score-0.061]

27 Because of the independence between modules, a system is relatively 536 simple to maintain, and improvements on each module might contribute to final performance additively. [sent-80, score-0.076]

28 (2009) in the second module adopts a different data structure called lattice which could directly use our better many-to-many alignment for construction. [sent-84, score-0.404]

29 Experiments on the Chinese-to-English task on two datasets use four objectives, IHMM probability (Section 3. [sent-85, score-0.053]

30 Results show multi-objective optimization framework efficiently integrates different information to gain approximately 1 BLEU point improvement over a strong baseline. [sent-90, score-0.153]

31 2 Background We briefly give an introduction to confusion networks, and because the IHMM based alignment is an important objective in our multi-objective framework, here we also provide detailed definition of formulas for completeness of content. [sent-91, score-0.537]

32 1 Confusion Network Table 1 shows hypotheses h1 and h2 are aligned to selected backbone h0. [sent-93, score-0.283]

33 When alignment algorithm obtains good enough results, the expected output “he prefers apples ” is included in its corresponding confusion network in Figure 1. [sent-94, score-0.7]

34 This suggests developing better alignment algorithm may help creating high-quality confusion networks. [sent-95, score-0.51]

35 This also motivates us to use the BLEU of oracle hypotheses to approximately measure the quality of a set of CNs. [sent-96, score-0.091]

36 h0:hefeelslikeapples h1:hepreferεapples h2 :him prefers to apples Table 1: A toy example of hypothesis alignment, where h0 is the backbone hypothesis. [sent-100, score-0.347]

37 A confusion network G = (V, E) is a directed acyclic graph with a unique source and sink vertex, feel like ? [sent-103, score-0.297]

38 Figure 1: A classic confusion network, and the bold path the expected output. [sent-108, score-0.263]

39 Compared with TER-based alignment performing literal matching, IHMM supports synonym comparison in redefining emission probabilities in an IHMM model. [sent-115, score-0.445]

40 eJ) be a hypothesis aligned to the backbone, both being English sentences in our experiments. [sent-122, score-0.105]

41 Suppose the ajth wo=rd { ian fIis aligned to jth mweonrdt. [sent-127, score-0.069]

42 1B1ec bauucseke tas,ll (th≤e hypotheses (in− system )c,ocm(≥bin 6a). [sent-132, score-0.066]

43 - tion are in the same language, the IHMM model would support more monotonic alignments, and non-monotonic alignments will be penalized. [sent-133, score-0.053]

44 psem(e|f) ≈ X pdic(c|f) · pdic(e|c) (6) cX∈src Note that psem(e|f) has been updated with different source sentences. [sent-139, score-0.028]

45 The surface similarity (e|f) is measured by the literal matching rate: psur psur(e,f) = exp{ρ[mLaMx(P|(ff|,,e|e)|)− 1]} (7) where LMP(f, e) is the length of the longest matched prefix, and ρ is a smoothing parameter. [sent-140, score-0.126]

46 One natural way is to scalarize multiple objectives into one by assigning it with a weight vector. [sent-142, score-0.157]

47 This method allows a simple optimization algorithm in many cases, while in system combination, it would cause problems. [sent-143, score-0.124]

48 In the first module, in order to train suitable weights of objectives, extra labeled data is needed, besides that, the efficient Viterbi algorithm for searching the optimal alignment would not work for the alignment objectives in this work. [sent-144, score-0.896]

49 More, the parameter training in the third module relies on the CNs constructed from the output of the first module, which increases the instability of the whole system. [sent-145, score-0.098]

50 Therefore, an unsupervised multi-objective algorithm may be a good choice allowing for more alignment information. [sent-146, score-0.323]

51 There exist other alternative optimization algorithms in the multi-objective optimization framework, though the evolutionary algorithm is adopted here, we only introduce some general concepts. [sent-147, score-0.363]

52 1 Pareto Optimal Solutions A general multi-objective optimization problem consists of a number of objectives and is associated with a number of constraints. [sent-149, score-0.253]

53 All the functions fi, gj , hk map a solution x into a scalar. [sent-162, score-0.104]

54 In this work, we refer to x = {xi,j |xi,j ∈ {0, 1}} as a potential alignment oo xf a pair |oxf hypotheses, where xi,j is a boolean value to denote whether the ith word in the first hypothesis is aligned to the jth word in the second hypothesis. [sent-164, score-0.427]

55 Here the definition of x seems different from that of a in Formula 1, and they could convert to each other. [sent-165, score-0.022]

56 Using a line-based access style, a matrix can be unfolded as a vector. [sent-166, score-0.05]

57 We refer to f as IHMM alignment probability (He et al. [sent-167, score-0.348]

58 , 2009), total four objectives from two directions, and the larger the objectives, the better. [sent-169, score-0.157]

59 If fi(x) ≥ fi(x0) holds for all i, we call the alignment x )do ≥mi fnates the alignment x0. [sent-174, score-0.59]

60 If there xi,j 538 X: Reversed IHMM Probability (1e-8) Figure 2: Sample solutions with only two objectives. [sent-175, score-0.092]

61 Other points p2 , p4, p6 are dominated by at least one point in the Pareto optimal solutions. [sent-177, score-0.093]

62 does not exist any alignment x00 to dominate x, we cdaoells sth neo alignment x to nbme ennotn- xd00om toin daotmedi. [sent-178, score-0.644]

63 A alignment x is said to be Pareto optimal if there is no other alignment x0 found to dominate x. [sent-180, score-0.686]

64 In Figure 2, p1 dominates p2, and p2 dominates p4. [sent-181, score-0.058]

65 To summarize, a point is dominated by the ones on its upper and right side with ties. [sent-182, score-0.065]

66 In some cases, Pareto optimal solutions can be used for good candidate solutions. [sent-184, score-0.156]

67 Considering the IHMM model, maximizing Y axis, the top-4 best alignments are p1, p2, p3, p4. [sent-185, score-0.053]

68 But from the view of Pareto optimal, the top-4 alignments would be p1, p3, p5, p7 without order, which considers a greater range than a single optimization model. [sent-186, score-0.149]

69 In our method, we just combine these Pareto optimal solutions equally into a unique alignment (Section 3. [sent-187, score-0.451]

70 Our adopted multi-objective optimization searching algorithm is the non-dominated sorting genetic algorithm II (NSGA-II) (Deb et al. [sent-189, score-0.21]

71 NSGAIIhas a complexity of O(mn2), where m is the number of objectives and n is the population size in an evolutionary algorithm. [sent-196, score-0.253]

72 2 Objectives in Evolutionary Algorithm The optimization objectives in our experiments can be categorized as an IHMM alignment probability (He et al. [sent-198, score-0.601]

73 , 2008) and GIZA++ alignment probability f1 f2 f3 S: ? [sent-199, score-0.348]

74 Backbone Figure 3: The same alignment (f1, e1) (f1, e2) (f2 , e3) in two IHMM models. [sent-211, score-0.295]

75 The upper one is a typical example in IHMM, and in the bottom one, because any word in the observation is required not to correspond to two statuses, it has a minor trouble. [sent-212, score-0.094]

76 1 IHMM Probability A typical IHMM alignment is demonstrated in the upper graph of Figure 3, where a backbone is acting the role of a status sequence. [sent-218, score-0.565]

77 The unnormalized conditional alignment probability is [pt(1|null)] · [pt(1|1)pt(2| 1)] · [po(e1 |f1)po(e2 |f1)po(e3 |f2)] . [sent-219, score-0.348]

78 However, pthe(2 same alignment (f1, e1) (f1, e2) (f2, e3), if we change the alignment direction, the backbone being observations, would be a bit different. [sent-220, score-0.765]

79 Look at the bottom graph of Figure 3, the observation f1 has two statuses, e1 and e2 at the same time, it becomes ambiguous to compute the transitional probability between pt(3| 1) and pt(3|2). [sent-222, score-0.136]

80 This is because IHMM algorithm 1d)ea lasn dwi pth( oneto-many alignments, and MOEA permits many-tomany alignments. [sent-223, score-0.028]

81 A new status is defined, rather than a single position pt(j |i), but as a set of positions pt({j} |{i}). [sent-225, score-0.089]

82 The positions uint one status need not to b(e{ adjacent to ehaec hp oostihteiorn. [sent-226, score-0.081]

83 The redefined transitional probability pt({j}|{i}) =|{j}|1 · |{i}|Xi,jpt(j|i) The redefined emission probability po(j|{i}) = Yipo(j|i) We need to note that there is no guarantee on 539 the closed property of probabilities, though these approximations prove to be effective in a practical sense. [sent-227, score-0.284]

84 Straightforwardly, when there is only one position in a new status, the expanded IHMM degenerates to the standard IHMM. [sent-228, score-0.052]

85 The new probability becomes [pt(1|null)pt(2|null)] · [21pt(3| 1)pt(3|2) · pt(null|3)] · [po(f1|e1)po(f1|e2)po(f2|e3)po(f3|null)]. [sent-230, score-0.053]

86 All probabilities appearing in below formulas can be looked up in GIZA++. [sent-234, score-0.055]

87 In order to increase the coverage ofwords, we collect all the hypothesis pairs in both the tuning set and the test set and feed them into GIZA++. [sent-242, score-0.063]

88 This is an off-line operation, which makes it not suitable for an online translation system. [sent-243, score-0.071]

89 In our experiments, a pure GIZA++ based system combination does not perform as well as IHMM based, but does benefit the final translation quality if combined in our multiobjective optimization framework. [sent-245, score-0.214]

90 Using a l1i}n}e- tboa seendaccess style, the matrix could be unfolded as a vector with |I| · |J| bits of length. [sent-250, score-0.05]


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