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{
"paper_id": "I11-1006",
"header": {
"generated_with": "S2ORC 1.0.0",
"date_generated": "2023-01-19T07:30:33.584702Z"
},
"title": "Discriminative Phrase-based Lexicalized Reordering Models using Weighted Reordering Graphs",
"authors": [
{
"first": "Wang",
"middle": [],
"last": "Ling",
"suffix": "",
"affiliation": {},
"email": "wang.ling@inesc-id.pt"
},
{
"first": "Jo\u00e3o",
"middle": [],
"last": "Gra\u00e7a",
"suffix": "",
"affiliation": {},
"email": "joao.graca@inesc-id.pt"
},
{
"first": "David",
"middle": [],
"last": "Martins De Matos",
"suffix": "",
"affiliation": {},
"email": ""
},
{
"first": "Isabel",
"middle": [],
"last": "Trancoso",
"suffix": "",
"affiliation": {},
"email": "isabel.trancoso@inesc-id.pt"
},
{
"first": "Alan",
"middle": [],
"last": "Black",
"suffix": "",
"affiliation": {},
"email": ""
}
],
"year": "",
"venue": null,
"identifiers": {},
"abstract": "Lexicalized reordering models play a central role in phrase-based statistical machine translation systems. Starting from the distance-based reordering model, improvements have been made by considering adjacent words in word-based models, adjacent phrases pairs in phrasebased models, and finally, all phrases pairs in a sentence pair in the reordering graphs. However, reordering graphs treat all phrase pairs equally and fail to weight the relationships between phrase pairs. In this work, we propose an extension to the reordering models, named weighted reordering models, that allows discriminative behavior to be defined in the estimation of the reordering model orientations. We apply our extension using the weighted alignment matrices to weight phrase pairs, based on the consistency of their alignments, and define a distance metric to weight relationships between phrase pairs, based on their distance in the sentence. Experiments on the IWSLT 2010 evaluation dataset for for the Chinese-English language pair yields an improvement of 0.38 (2%) and 0.94 (3.7%) BLEU points over the state-of-the-art work's results using weighted alignment matrices.",
"pdf_parse": {
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"abstract": [
{
"text": "Lexicalized reordering models play a central role in phrase-based statistical machine translation systems. Starting from the distance-based reordering model, improvements have been made by considering adjacent words in word-based models, adjacent phrases pairs in phrasebased models, and finally, all phrases pairs in a sentence pair in the reordering graphs. However, reordering graphs treat all phrase pairs equally and fail to weight the relationships between phrase pairs. In this work, we propose an extension to the reordering models, named weighted reordering models, that allows discriminative behavior to be defined in the estimation of the reordering model orientations. We apply our extension using the weighted alignment matrices to weight phrase pairs, based on the consistency of their alignments, and define a distance metric to weight relationships between phrase pairs, based on their distance in the sentence. Experiments on the IWSLT 2010 evaluation dataset for for the Chinese-English language pair yields an improvement of 0.38 (2%) and 0.94 (3.7%) BLEU points over the state-of-the-art work's results using weighted alignment matrices.",
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"section": "Abstract",
"sec_num": null
}
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"body_text": [
{
"text": "Reordering in Machine Translation (MT) is the task of word-order redistribution of translated words. An early reordering paradigm uses a simple distance based reordering model, which penalizes words that diverge from their original position after being translated (Koehn et al., 2003) . This works moderately well for language pairs where reordering distances are small, but per-forms poorly for language pairs such as Chinese-English, where the opposite occurs. One of many approaches to implement improved reordering models is to use the lexical information during the phrase extraction algorithm to predict reordering orientations, using word-aligned bilingual sentences. However, the fact that spurious word alignments might occur leads to the use of alternative representations for word alignments that allow multiple alignment hypotheses, rather than the 1-best alignment (Venugopal et al., 2009; Mi et al., 2008; Christopher Dyer et al., 2008) . More recently, a more efficient representation of multiple alignments was proposed in (Liu et al., 2009) named weighted alignment matrices, which represents the alignment probability distribution over the words of each parallel sentence. The method for building a word-based lexicalized reordering model using these matrices is proposed in (Ling et al., 2011) . However, phrase-based reordering models have been shown to perform better than word-based models for several language pairs (Tillmann, 2004; Su et al., 2010; Galley and Manning, 2008) , such as Chinese-English and Arabic-English.",
"cite_spans": [
{
"start": 264,
"end": 284,
"text": "(Koehn et al., 2003)",
"ref_id": "BIBREF3"
},
{
"start": 878,
"end": 902,
"text": "(Venugopal et al., 2009;",
"ref_id": "BIBREF12"
},
{
"start": 903,
"end": 919,
"text": "Mi et al., 2008;",
"ref_id": "BIBREF7"
},
{
"start": 920,
"end": 950,
"text": "Christopher Dyer et al., 2008)",
"ref_id": "BIBREF1"
},
{
"start": 1039,
"end": 1057,
"text": "(Liu et al., 2009)",
"ref_id": "BIBREF6"
},
{
"start": 1293,
"end": 1312,
"text": "(Ling et al., 2011)",
"ref_id": "BIBREF5"
},
{
"start": 1439,
"end": 1455,
"text": "(Tillmann, 2004;",
"ref_id": "BIBREF10"
},
{
"start": 1456,
"end": 1472,
"text": "Su et al., 2010;",
"ref_id": "BIBREF9"
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{
"start": 1473,
"end": 1498,
"text": "Galley and Manning, 2008)",
"ref_id": "BIBREF2"
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"ref_spans": [],
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"section": "Introduction",
"sec_num": "1"
},
{
"text": "In this work, we propose an extension to the phrase-based lexicalized model approach using reordering graphs presented in (Su et al., 2010) , which allows phrase pairs to be weighted differently, rather than uniformly as in the original proposal. Then, we will present a phrase-based approach to estimate the orientations of the reordering model from the weighted alignment matrices using this extension.",
"cite_spans": [
{
"start": 122,
"end": 139,
"text": "(Su et al., 2010)",
"ref_id": "BIBREF9"
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"ref_spans": [],
"eq_spans": [],
"section": "Introduction",
"sec_num": "1"
},
{
"text": "In this section we will present the lexicalized reordering models approaches that are relevant for this work.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Lexicalized Reordering models",
"sec_num": "2"
},
{
"text": "The lexicalized reordering model is possibly the most used lexicalized reordering model and it calculates, as features, the reordering orientation for the previous and the next word, for each phrase pair. In the word-based reordering model (Axelrod et al., 2005) , during the phrase extraction, given a source sentence S and a target sentence T , the alignment set A, where a j i is an alignment from i to j, the phrase pair with words in positions between i and j in S, S j i , and n and m in T , T m n , can be classified with one of three orientations with respect to the previous word. The orientation is",
"cite_spans": [
{
"start": 240,
"end": 262,
"text": "(Axelrod et al., 2005)",
"ref_id": "BIBREF0"
}
],
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"section": "Word-based Reordering",
"sec_num": "2.1"
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"text": "\u2022 Monotonous -if only the previous word in the source is aligned with the previous word in the target, or, more formally, if a n\u22121 i\u22121 \u2208 A \u2227 a n\u22121 j+1 / \u2208 A.",
"cite_spans": [],
"ref_spans": [],
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"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "\u2022 Swap -if only the next word in the source is aligned with the previous word in the target, or more formally, if a n\u22121 j+1 \u2208 A \u2227 a n\u22121 i\u22121 / \u2208 A.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "\u2022 Discontinuous -if neither of the above are true, which means, (a",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "n\u22121 i\u22121 \u2208 A \u2227 a n\u22121 j+1 \u2208 A) \u2228 (a n\u22121 i\u22121 / \u2208 A \u2227 a n\u22121 j+1 / \u2208 A).",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "The orientations with respect to the next word are given analogously. The reordering model is generated by grouping the phrase pairs that are equal, and calculating the probabilities of the grouped phrase pair being associated each orientation type and direction, based on the orientations for each direction that are extracted. Formally, the probability of the phrase pair p having a monotonous orientation is given by:",
"cite_spans": [],
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"eq_spans": [],
"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "P (p, mono) = C(p,mono) C(p,mono)+C(p,swap)+C(p,disc) (1)",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "Where C(p, o) is the number of times a phrase is extracted with the orientation o in that group of phrase pairs.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering",
"sec_num": "2.1"
},
{
"text": "The work in (Ling et al., 2011) adapts the wordbased reordering model to extract the reordering orientations from the weighted alignment matrices. This is done by changing the C(p, o) from a count function over a given set of phrase pairs P to a weighted sum given by: The score Sc(p) of a phrase pair p is given by the algorithm described in (Liu et al., 2009) , which is based on its alignments. This score is higher if the alignment points in the phrase pair have high probabilities, and if the alignment is consistent. Thus, if a phrase pair has better quality, its orientation is given more weight than phrase pairs with worse quality. Rather than classifying each phrase pair with either monotonous (M ), swap (S) or discontinuous (D), a probability distribution for the orientations is calculated. Thus, for the previous word, given a weighted alignment matrix W , the phrase pair between the indexes i and j in S, S j i , and n and m in T , T m n , the probability values for each orientation are given by:",
"cite_spans": [
{
"start": 12,
"end": 31,
"text": "(Ling et al., 2011)",
"ref_id": "BIBREF5"
},
{
"start": 343,
"end": 361,
"text": "(Liu et al., 2009)",
"ref_id": "BIBREF6"
}
],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "EQUATION",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [
{
"start": 0,
"end": 8,
"text": "EQUATION",
"ref_id": "EQREF",
"raw_str": "C(p, o) = p\u2208P Sc(p)P c (p, o)",
"eq_num": "(2)"
}
],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "\u2022 P c (p, M ) = W n\u22121 i\u22121 (1 \u2212 W n\u22121 j+1 ) \u2022 P c (p, S) = W n\u22121 j+1 (1 \u2212 W n\u22121 i\u22121 ) \u2022 P c (p, D) = W n\u22121 i\u22121 W n\u22121 j+1 + (1 \u2212 W n\u22121 i\u22121 )(1 \u2212 W n\u22121 j+1 ) 2.3 Phrase-based Reordering",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "The problem with the word-based lexicalized reordering model is that it is assumed that the adjacent words are translated by themselves, which is not always true in phrase-based SMT. The reordering model presented in (Tillmann, 2004) uses adjacent phrases to generate the phrase orientations. In this model, the previous orientation of a phrase pair p:",
"cite_spans": [
{
"start": 217,
"end": 233,
"text": "(Tillmann, 2004)",
"ref_id": "BIBREF10"
}
],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "\u2022 Monotonous if there is a phrase pair with the source S i\u22121",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "x that ends at i\u22121 and starts at any x, that is aligned to the target phrase T n\u22121 y , that ends at n \u2212 1 and starts at any y. In another words, if there is an adjacent phrase pair that occurs before p, both in the source and in the target sentences.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "\u2022 Swap if there is a phrase pair with the source S x j+1 that starts at j +1 and ends at any x, that is aligned to the target phrase T n\u22121 y , that ends at n \u2212 1 and starts at any y. In another words, if there is an adjacent phrase pair that occurs before p in the target sentence and after p in the source sentence.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "\u2022 Discontinuous -if neither of the above are true.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "The work presented in (Tillmann, 2004) only considers phrases that are smaller than a fixed size, since the possible phrases for each bilingual sentence are generated and kept in memory making the time and memory needed to store and lookup all possible phrases grows rapidly as the size grows. The work in (Galley and Manning, 2008) implements a shift-reduce parsing algorithm that updates the previously extracted phrase pair orientations when a new phrase pair is extracted, which allows arbitrary sized phrase pairs to be considered.",
"cite_spans": [
{
"start": 22,
"end": 38,
"text": "(Tillmann, 2004)",
"ref_id": "BIBREF10"
},
{
"start": 306,
"end": 332,
"text": "(Galley and Manning, 2008)",
"ref_id": "BIBREF2"
}
],
"ref_spans": [],
"eq_spans": [],
"section": "Word-based Reordering using alignment matrices",
"sec_num": "2.2"
},
{
"text": "The phrase based model considers the existence of a single adjacent phrase, which is not ideal, since many possible adjacent phrases exist for each extracted phrase pair, which can generate different orientations. In work done in (Su et al., 2010) the orientation is computed by considering all possible reorderings of phrase pairs that are extracted in the sentence pair. Once again C(p, o) is given by the weighted count:",
"cite_spans": [
{
"start": 230,
"end": 247,
"text": "(Su et al., 2010)",
"ref_id": "BIBREF9"
}
],
"ref_spans": [],
"eq_spans": [],
"section": "Phrase Reordering using Reordering Graphs",
"sec_num": "2.4"
},
{
"text": "EQUATION",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [
{
"start": 0,
"end": 8,
"text": "EQUATION",
"ref_id": "EQREF",
"raw_str": "C(p, o) = p\u2208P h P c (p, o)",
"eq_num": "(3)"
}
],
"section": "Phrase Reordering using Reordering Graphs",
"sec_num": "2.4"
},
{
"text": "Where P c (p, o) is extracted by structuring the extracted phrase pairs into a reordering graph. This graph is created for each sentence pair, using extractable phrase pairs as nodes and connecting adjacent phrase pairs in the target side with an edge. Each edge is associated with a reordering orientation, dependent on the source side of the connected phrase pairs. If these are not adjacent in the source side, the edge is given a discontinuous orientation, otherwise, the edge is given a monotonous or swap orientation depending on whether they are in the same order or not in the source side, respectively. Furthermore, phrase pairs with no adjacent phrase pairs are linked to the nearest phrase pair. These arcs are also given a discontinuous orientation. A start node bs is added and is linked to all phrase pairs at the start of the target sentence , and a end node be, which is linked by all phrase pairs that end the target sentence.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Phrase Reordering using Reordering Graphs",
"sec_num": "2.4"
},
{
"text": "For the previous orientation weight, the probability P c (p, o) of the phrase pair p having a given orientation o, considering the set P rev(o), with all phrase pairs that are linked to p that would lead to a orientation o, is given by:",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Phrase Reordering using Reordering Graphs",
"sec_num": "2.4"
},
{
"text": "EQUATION",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [
{
"start": 0,
"end": 8,
"text": "EQUATION",
"ref_id": "EQREF",
"raw_str": "P c (p, o) = p \u2208P rev(o) \u03b1(p )\u03b2(p) \u03b2(bs)",
"eq_num": "(4)"
}
],
"section": "Phrase Reordering using Reordering Graphs",
"sec_num": "2.4"
},
{
"text": "In this equation, \u03b1(p ) is the number of paths to the p node from the first phrase, \u03b2(p) is the number of paths from p to the last phrase and \u03b2(bs) results in the number of possible paths. We can see from this equation that \u03b1(p ) \u00d7 \u03b2(p) results in the number of paths containing the arc from p to p, thus not only multiple adjacent phrase pairs are considered, but these are also weighted by the number of possible translation segmentations that would use that phrase pair. An example of a reordering graph is illustrated in figure 2. We can see in that for the phrase pair \"\u8fd9 \u91cc (zhe li)\"\u2192\"here\", instead of simply giving the swap orientation due to the adjacent phrase pair \"\u5f88\u75bc (hen teng)\"\u2192\"sore pain\", it also considers the case where \"\u75bc (teng)\" is translated by itself to \"pain\", in which case the orientation would be discontinuous. In this case, the weight is evenly distributed between the 2 orientations since there are 2 paths that contain an edge with each orientation.",
"cite_spans": [],
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"eq_spans": [],
"section": "Phrase Reordering using Reordering Graphs",
"sec_num": "2.4"
},
{
"text": "We see in the example given in section 2.4 that the phrase pair \"\u8fd9\u91cc (zhe li)\"\u2192\"here\" is given an equal weight to the swap and discontinuous orientations. However, if we translate \"\u75bc (teng)\" by itself, we would have to translate \"\u5f88 (hen)\" without \"\u75bc (teng)\". The translation for \"\u5f88 (hen)\" by itself to \"sore\" is not very probable, since \"\u5f88 (hen)\" without context is generally translated to \"very\", \"much\" or \"quite\". Thus, it is more probable during decoding that the segmentation \"\u5f88 \u75bc (hen teng)\" is used. Although the phrase-based reordering model presented in section 2.3 gives a better reordering estimate in this case, in cases where there is an equal probability of both segmentations the graph-based approach would be better. Hence, we argument that by treating phrase pairs discriminatively, we can improve reordering orientations estimate in both cases. In this work, we propose an extension to the reordering graphs to allow the definition of discriminative behavior during training. We will start by describing our model for the Weighted Reordering Graph and then we proceed into the definition of the algorithm to extract the word orientations from the Weighted Reordering Matrices.",
"cite_spans": [],
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"section": "Phrase-based reordering using Weighted Reordering Graphs",
"sec_num": "3"
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"text": "We define a weighted reordering graph for a given sentence pair S as",
"cite_spans": [],
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"eq_spans": [],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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{
"text": "G S = (V, E, W v , W e ),",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "where V is the set of all vertices, which are phrase pairs p 1 , p 2 , ..., p n , and E is the set of all edges and we denote a edge from p 1 to p 2 as e(p 1 , p 2 ). W v and W e are functions that map each element in V and E to a weight. We define a path P H(bs, p 1 , p 2 , be) as a path starting in bs and through p 1 , then p 2 and ending in be. The weight of a path P H",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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{
"text": "(p 1 , p 2 , ..., p k\u22121 , p k )",
"cite_spans": [],
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"eq_spans": [],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "is given by the product of the weights of its phrase pairs",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "W v (p 1 )W v (p 2 )...W v (p k\u22121 ), W v (p k )",
"cite_spans": [],
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"eq_spans": [],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "and the weights of the edges connecting the phrases in the path e(p 1 , p 2 )...e(p k\u22121 , p k ). If both weight functions W v and W e are set to return 1 we define the same behavior as a reordering graph described in section 2.4, since all paths will have the weight of 1.",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "Following equation 4, we define the probability of a given orientation, P c (p, o), for a weighted reordering graph as:",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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{
"text": "EQUATION",
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"eq_spans": [
{
"start": 0,
"end": 8,
"text": "EQUATION",
"ref_id": "EQREF",
"raw_str": "P c (p, o) = p \u2208P rev(o) \u03b1w(p )We(e(p ,p))\u03b2w(p) \u03b2w(bs)",
"eq_num": "(5)"
}
],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
},
{
"text": "Where \u03b1 w (p ) is the sum of weights of paths from bs to p and \u03b2 w (p) is the sum of the weights of the paths from p to be. It is also crucial to consider the weight of the edge e(p , p), since it is not weighted in neither \u03b1 w (p ) nor \u03b2 w (p). This is not present in equation 4 since all edges are weighted as 1.",
"cite_spans": [],
"ref_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "The functions \u03b1 w and \u03b2 w can be defined as:",
"cite_spans": [],
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"eq_spans": [],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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{
"text": "EQUATION",
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"eq_spans": [
{
"start": 0,
"end": 8,
"text": "EQUATION",
"ref_id": "EQREF",
"raw_str": "\u03b1 w (p) = W v (p) p \u2208P rev(p) \u03b1 w (p )W e (e(p , p)) (6) \u03b2 w (p) = W v (p) p \u2208N ext(p) \u03b2 w (p )W e (e(p , p))",
"eq_num": "(7)"
}
],
"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
},
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"text": "Where P rev(p) and N ext(p) are sets of all phrase pairs that are linked to and linked from p, respectively. We also initiate \u03b1 w (bs) = 1 and \u03b2 w (be) = 1. These two values can be initialized with any value, as this will not affect the normalized result from equation 5.",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "The pre-computation of \u03b1 w and \u03b2 w can be performed using an approach similar to the forwardbackward algorithm and calculating the forward probabilities for \u03b1 w and backward probabilities for \u03b2 w , with time complexity in the order O(N 2 T ), where N is the number of different phrase pairs and T is the length of sequences. To compute \u03b1 w , we need to take into account that the vertices/phrase pairs can be ordered topologically in an array so that a vertice in the index i does not have edges pointing to any vertice at any index at or before i \u2212 1. This can be done by ordering the phrase pairs by the ending position of the target phrase n, starting with bs, since we know that the phrase pairs ending at n can only have links to phrase pairs ending at least at n + 1, according to the definition of an edge in a reordering graph.",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "The algorithm for computing \u03b2 w can be done analogously, by starting from be and sorting according to the target phrase's starting position.",
"cite_spans": [],
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"section": "Weighted Reordering Graph Model",
"sec_num": "3.1"
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"text": "In this work, we use the information given by the Weighted Alignment Matrices to define W v (p). We set W v (p) using the phrase pair scoring algorithm presented in (Liu et al., 2009) , which calculates the weight of a phrase pair based on its alignment points. This weight can be seen as the Algorithm 1 Compute \u03b1 w Require: sorted phrase pairs P \u03b1 w (P ) = {0, ..., 0} for p in P do if p = bs then \u03b1 w (bs) := W v (bs) end if for p in followingNodes(p) do w = W e (e(p, p ))W v (p ) \u03b1 w (p ) := \u03b1 w (p ) + w\u03b1 w (p) end for end for return extractedPhrasePairs probability of that phrase pair being extractable according to the heuristic proposed in (Koehn et al., 2003) .",
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{
"start": 165,
"end": 183,
"text": "(Liu et al., 2009)",
"ref_id": "BIBREF6"
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"start": 650,
"end": 670,
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"sec_num": "3.2"
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"text": "We also set W e (e(p a , p b )) to a distance function between the phrases p a and p b in the target, to better cope with the situation where there are no adjacent phrase pairs to a phrase pair and an edge is added to the closest adjacent phrase. An example of such a case instance is displayed in figure 3 . In this case, the phrase ending with the target word \"wrap\" can not be extracted, since it is aligned with \"\u628a (ba)\" and \"\u5305 (bao)\". Thus, consistent phrase pairs that can be extracted must at least contain these 2 words to have \"wrap\" in the target. Another situation where this might also happen is the case where a phrase is not extracted due to size constraints. In both cases the reordering orientation of the edge is always discontinuous since the target phrases are not adjacent. We find that the reordering orientations that originates from these edges are not very precise. In the first case, the next orientation for the phrase pair \"\u4e0d \u9700\u8981 (bu xu yao)\"\u2192\"need not\" would be divided between monotonous from the edge to the phrase pair \"\u628a \u5b83 \u5305 (ba ta bao)\"\u2192\"wrap it\" and discontinuous from the edge to the phrase pair from \"\u5b83 (ta)\" to \"it\". However, in an actual translation the only way to translate this sentence correctly would be to treat \"\u628a\u5b83\u5305 (ba ta bao)\" as a segment, which favors the monotonous orientation. Furthermore, even if we could translate \"\u628a (ba)\" and \"\u5305 (bao)\" to \"wrap\", the orientation would still be monotonous. In the second case, an edge between phrase pairs p a and p b that is created because a phrase pair p c between p a and p b was not extracted due to size constraints, would mean that there is a missing edge from p a to p c and another Figure 3 : Illustration of a case where no adjacent phrase pairs exits for a phrase pair. In this case, the phrase pair \"\u4e0d\u9700\u8981 (bu xu yao)\"\u2192\"need not\" and the phrase pair \"\u5b83 (ta)\"\u2192\"it\" are linked by an edge even though they are not adjacent.",
"cite_spans": [],
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{
"start": 298,
"end": 306,
"text": "figure 3",
"ref_id": null
},
{
"start": 1679,
"end": 1687,
"text": "Figure 3",
"ref_id": null
}
],
"eq_spans": [],
"section": "Choosing W v and W e",
"sec_num": "3.2"
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"text": "from p b to p c , and no edge from p a to p b . Thus, the orientation of this edge is likely to be spurious, and should be given a lower weight.",
"cite_spans": [],
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"sec_num": "3.2"
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"text": "This cannot be done by setting this weight to 0 (removing the arc), since it will render all paths that contain that edge to 0. For instance, if we set the maximum phrase pair size to 7 and the first 8 words of the source and target are aligned in a way that no smaller translation units can be extracted, there would be an edge from bs to the 9th word. Therefore, if we set the weight of the edge to 0, any path we take would have 0 weight, rendering the whole sentence pair useless. Hence, we define the W e function as:",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Choosing W v and W e",
"sec_num": "3.2"
},
{
"text": "W e (e(p, p )) = 1 (1 + \u03bb) d (8)",
"cite_spans": [],
"ref_spans": [],
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"section": "Choosing W v and W e",
"sec_num": "3.2"
},
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"text": "Where d is the distance between p and p defined by the number of words in the target sentence between p and p , and \u03bb is a positive value defining the penalty as d increases. In this work, we empirically set \u03bb = 0.5, and leave the optimization of this parameter as future work.",
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"sec_num": "3.2"
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"text": "In order to illustrate the performance of the different reordering models, we consider two training sentences taken from the IWSLT 2010 DIALOG task. The weighted alignment matrices for these sentences are illustrated in tables 1 and 2. For simplicity in terms of illustration, we assume that algorithms that do not use the alignment matrices, consider all non-zero cells as alignment points. The probability distribution for different previous orientations of each reordering model for the phrase pair \"\u8fd9\u91cc (zhe li)\u2192here\" from sentence 1 and the phrase pair \"\u4eca\u5929 (jin tian)\u2192today\" from sentence 2 are calculated in tables 3 and 4, respectively. We can see that the word-based reordering models classify the word orientation as discontinuous, since the previous word in the target is not aligned to adjacent words in the source. This leads to inaccurate orientations for the first phrase pair, since the words \"\u5f88 (hen)\" and \"\u75bc (teng)\" have a high probability of being translated together. In the second phrase pair, it gives a good approximation of the correct orientation, since \"\u68d2 \u7403 (bang qiu)\" and \"\u6bd4 \u8d5b (bi sai)\" are good translations even when translated without \"\u6709 (you)\".",
"cite_spans": [],
"ref_spans": [],
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"section": "Reordering Model Comparison",
"sec_num": "3.3"
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"text": "The opposite occurs with the phrase-based reordering model, since it considers the source phrase segmentation \"\u5f88\u75bc (hen teng)\" and \"\u6709\u68d2 \u7403\u6bd4\u8d5b (you bang qiu bi sai)\", respectively. Thus, the estimation of the orientation is better for the former and worse for the latter phrase pair.",
"cite_spans": [],
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"section": "Reordering Model Comparison",
"sec_num": "3.3"
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"text": "Using the reordering graph, orientations are es-\u8fd9\u91cc (zhe li)\u2192here Mono Swap Disc Word-based 0 0 1 Weighted-Word-based 0 0 1 Phrase-based 0 1 0 Graph-based 0 0.333 0.333 Weighted-graph-based 0 0.271 0.180 Table 3 : Previous orientation probabilities for different lexicalized reordering models for the phrase pair \"\u8fd9\u91cc (zhe li)\"\u2192\"here\", taken from sentence 1.",
"cite_spans": [],
"ref_spans": [
{
"start": 203,
"end": 210,
"text": "Table 3",
"ref_id": null
}
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"sec_num": "3.3"
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"text": "\u4eca\u5929 (jin tian)\u2192today Mono Swap Disc Word-based 0 0 1 Weighted-Word-based 0 0 1 Phrase-based 0 1 0 Graph-based 0 0.166 0.500 Weighted-graph-based 0 0.187 0.416 Table 4 : Previous orientation probabilities for different lexicalized reordering models for the phrase pair \"\u4eca\u5929 (jin tian)\"\u2192\"today\", taken from sentence 2.",
"cite_spans": [],
"ref_spans": [
{
"start": 158,
"end": 165,
"text": "Table 4",
"ref_id": null
}
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"sec_num": "3.3"
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{
"text": "timated for different adjacent phrase pairs. In the first phrase pair, both cases where the source phrase \"\u5f88\u75bc (hen teng)\" and \"\u75bc (teng)\" are used as translation units are taken into account, and the same happens with the second phrase pair. As it was already referred in section 3, the problem with this estimation is that it fails to consider that \"\u75bc (teng)\" is more likely to be translated with \"\u5f88 (hen)\", otherwise the translation of \"\u5f88 (hen)\" is less likely to be accurate. Finally, by using weighted-reordering-graph, using phrase scores calculated from weighted alignment matrices, paths in the graph that contain phrase pairs that are better aligned are given more weight.",
"cite_spans": [],
"ref_spans": [],
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"section": "Reordering Model Comparison",
"sec_num": "3.3"
},
{
"text": "We implemented both word-based and phrasebased lexicalized reordering models described above, and compared the translation results with our algorithm.",
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"section": "Experiments",
"sec_num": "4"
},
{
"text": "Our experiments were performed over two datasets, the BTEC and the DIALOG parallel corpora from the latest IWSLT evaluation in 2010 (Paul et al., 2010) . The experiments performed with the BTEC corpus used the French-English subset, while the ones perfomed with the DIALOG corpus used the Chinese-English subset. The training corpora contains about 19K and 30K sentences, respectively.",
"cite_spans": [
{
"start": 132,
"end": 151,
"text": "(Paul et al., 2010)",
"ref_id": "BIBREF8"
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],
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"section": "Corpus",
"sec_num": "4.1"
},
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"text": "The development corpus for the BTEC task was the CSTAR03 test set composed by 506 sentences, and the test set was the IWSLT04 test set composed by 500 sentences and 16 references. As for the DIALOG task, we performed 2 tests, one using the evaluation datasets from IWSLT evaluation in 2006 (IWSLT06) and in 2008 (IWSLT08). The development from the IWSLT06 evaluation is com-posed by 489 sentences, and the test set was composed by 500 sentences and 7 references. The development from IWSLT08 evaluation is composed by 245 sentences, and the test set was composed by 506 sentences and 7 references.",
"cite_spans": [],
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"section": "Corpus",
"sec_num": "4.1"
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"text": "We use two setups for the different corpora that are used. Word-based (word-based), phrasebased (phrase-based), and phrase-based using reordering graphs (graph-based) reordering models are generally used with the regular phrase extraction algorithm, with alignment constraints defined in (Koehn et al., 2003) . Thus, we compare our method with the methods above in this environment. The weighted word-based reordering model (weighted word-based) described in section 2.2 was tested using the phrase extraction algorithm described in (Liu et al., 2009) , where phrase pairs are filtered out based on their scores, which are calculated from their alignment probabilities. So, we also test our algorithm under these conditions. In our work, we set the threshold for filtering out phrase pairs to 0.1, which was the threshold used in (Ling et al., 2011) . We also test separately our implementation of W v (graph-based W v ), which weights phrase pairs according to their scores, and W e (graph-based W e ), a penalty based on the distance between phrase pairs. Then, we test both approaches combined (graph-based W v W e ).",
"cite_spans": [
{
"start": 288,
"end": 308,
"text": "(Koehn et al., 2003)",
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{
"start": 533,
"end": 551,
"text": "(Liu et al., 2009)",
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"start": 830,
"end": 849,
"text": "(Ling et al., 2011)",
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"section": "Setup",
"sec_num": "4.2"
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{
"text": "The word alignments and the weighted alignment matrices are generated using the Geppetto toolkit 1 , using a regular HMM-based word alignment model (V. Gra\u00e7a et al., 2010) , without restraints. The optimum alignment is found using posterior decoding, and the weighted alignment matrices are obtained from the same alignment posteriors.",
"cite_spans": [
{
"start": 148,
"end": 171,
"text": "(V. Gra\u00e7a et al., 2010)",
"ref_id": "BIBREF11"
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"sec_num": "4.2"
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{
"text": "The optimization of the translation model weights was done using MERT tuning. Each experiment was run three times, and the final scores are calculated as the average of the three runs in order to stabilize the results. The results were evaluated using BLEU-4 and METEOR, and computed with 16 references.",
"cite_spans": [],
"ref_spans": [],
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"section": "Setup",
"sec_num": "4.2"
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{
"text": "Tables 5, 6 and 7 show the scores using the different reordering models. Table 7 : Results for the DIALOG task using the test set from IWSLT08.",
"cite_spans": [],
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{
"start": 73,
"end": 80,
"text": "Table 7",
"ref_id": null
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"section": "Results",
"sec_num": "4.3"
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"text": "in the DIALOG corpus scores over state-of-theart reordering models when using the weighted reordering graphs. We can see that both W v and W e generate improved results, and their combination generally performs better than both when used individually. The METEOR score is not always higher using our algorithm, but we believe this roots from the fact that the MERT tuning was set to optimize the BLEU score. For the BTEC corpus, we observe that phrasebased models do not perform as well, although the difference in BLEU is only 0.26 (0.4%) in the weighted case with respect to the weighted word-based model. We believe that this is because a large percentage of translation units that are used during decoding is one-to-one, as it was reported in (Ling et al., 2010) . It is highly likely that this roots from the fact that the training set is small, so the probability of finding large sequences of strings in the training set that matches the ones in the test set is rather low. In this case the word-based reordering models yield better reordering estimates, since considering longer training phrase-pairs that will not even be present in the test set will only degenerate the orientation probabilities. This suggests for future work that adding prior knowledge about the probability of a phrase-pair given its size could improve the translation quality. In the extreme case, we can give more weight to phrase pairs with the source that is present in the test set, for estimating the orientations, generating a reordering model that is specific for each test set.",
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{
"start": 747,
"end": 766,
"text": "(Ling et al., 2010)",
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}
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"section": "Results",
"sec_num": "4.3"
},
{
"text": "In this work, we presented the current state of the art in improving the lexicalized model orientation estimates. The basic word based lexicalized reordering model uses neighboring words to perform the orientation estimates. However, since words are not always translated by themselves, these estimates can be improved by considering neighboring phrases rather than words. Another way to improve the phrase based reordering model is to consider multiple adjacent phrases, which can be done using a reordering graph. Finally, another improvement can be made by addressing the limitations of the lexicalized reordering models extracted from a single alignment, and generate the orientation estimates using weighted alignment matrices.",
"cite_spans": [],
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"section": "Conclusions",
"sec_num": "5"
},
{
"text": "We extend the reordering graph model to allow the discriminative treatment of different paths. Using scores extracted from weighted alignment matrices to weight phrase pairs and a distance penalty function to penalize paths with phrase pairs that are not adjacent, improvements of 0.38 (2%) and 0.94 (3.4%) in BLEU over the state of the art algorithms using weighted alignment matrices for the Chinese-English language pair can be achieved.",
"cite_spans": [],
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"section": "Conclusions",
"sec_num": "5"
},
{
"text": "As future work, we will experiment with different types of phrase pair and edge scorers and extending the weighted reordering graphs to allow multiple scorers to be combined and optimized. Additionally, we will evaluate the impact of our algorithm in larger corpora, since we believe that using a larger training corpora will result in bigger improvements over the word-based approaches, since longer sequences of words in the test set will be found in the training set, resulting in longer translation units.",
"cite_spans": [],
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"section": "Conclusions",
"sec_num": "5"
},
{
"text": "The code used in this work is currently integrated with the Geppetto toolkit 2 , and it will be made available in the next version for public use.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Conclusions",
"sec_num": "5"
},
{
"text": "http://code.google.com/p/geppetto/",
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"sec_num": null
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"back_matter": [
{
"text": "This work was partially supported by FCT (INESC-ID multiannual funding) through the PIDDAC Program funds, and also through projects CMU-PT/HuMach/0039/2008 and CMU-PT/0005/2007.The PhD thesis of Wang Ling is supported by FCT grant SFRH/BD/51157/2010.The authors also wish to thank the anonymous reviewers for many helpful comments.",
"cite_spans": [],
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"section": "Acknowledgements",
"sec_num": "6"
}
],
"bib_entries": {
"BIBREF0": {
"ref_id": "b0",
"title": "Edinburgh system description for the 2005 iwslt speech translation evaluation",
"authors": [
{
"first": "Amittai",
"middle": [],
"last": "Axelrod",
"suffix": ""
},
{
"first": "Ra",
"middle": [],
"last": "Birch Mayne",
"suffix": ""
},
{
"first": "Chris",
"middle": [],
"last": "Callisonburch",
"suffix": ""
},
{
"first": "Miles",
"middle": [],
"last": "Osborne",
"suffix": ""
},
{
"first": "David",
"middle": [],
"last": "Talbot",
"suffix": ""
}
],
"year": 2005,
"venue": "Proc. International Workshop on Spoken Language Translation",
"volume": "",
"issue": "",
"pages": "",
"other_ids": {},
"num": null,
"urls": [],
"raw_text": "Amittai Axelrod, Ra Birch Mayne, Chris Callison- burch, Miles Osborne, and David Talbot. 2005. Ed- inburgh system description for the 2005 iwslt speech translation evaluation. In In Proc. International Workshop on Spoken Language Translation (IWSLT.",
"links": null
},
"BIBREF1": {
"ref_id": "b1",
"title": "Generalizing Word Lattice Translation",
"authors": [
{
"first": "Christopher",
"middle": [],
"last": "Dyer",
"suffix": ""
},
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"FIGREF0": {
"uris": null,
"type_str": "figure",
"text": "Enumeration of possible reordering cases with respect to the previous word. Case a) is classified as monotonous, case b) is classified as swap and cases c) and d) are classified as discontinuous.",
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"FIGREF1": {
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"type_str": "figure",
"text": "Reordering Graph for the sentence pair with source \"\u6211\u8fd9\u91cc\u5f88\u75bc (wo zhe li hen teng)\" and target 'I have a sore pain here\". Each extracted phrase pair is denoted as a rectangle, with the source and target phrases inside. Each phrase pair is also labeled for reference. The edges are labeled with its orientation (the colors are only for easier visualization).",
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"TABREF1": {
"type_str": "table",
"content": "<table><tr><td colspan=\"7\">: Weighted alignment matrix for a training</td></tr><tr><td colspan=\"7\">sentence pair from DIALOG training corpus from</td></tr><tr><td>IWSLT 2010.</td><td/><td/><td/><td/><td/><td/></tr><tr><td>Sentence 2</td><td>Are</td><td>there</td><td>any</td><td>baseball</td><td>games</td><td>today</td></tr><tr><td>\u4eca\u5929 (jin tian)</td><td/><td/><td/><td/><td/><td>1</td></tr><tr><td>\u6709 (you)</td><td/><td colspan=\"2\">0.60 0.90</td><td/><td/><td/></tr><tr><td>\u68d2\u7403 (bang qiu)</td><td/><td/><td/><td>1</td><td/><td/></tr><tr><td>\u6bd4\u8d5b (bi sai)</td><td/><td/><td/><td/><td>0.65</td><td/></tr><tr><td>\u5417 (ma)</td><td/><td/><td/><td/><td/><td/></tr></table>",
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"TABREF2": {
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"text": "Weighted alignment matrix for a training sentence pair from DIALOG training corpus from IWSLT 2010.",
"html": null,
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"TABREF4": {
"type_str": "table",
"content": "<table><tr><td>IWSLT06 DIALOG</td><td colspan=\"2\">BLEU METEOR</td></tr><tr><td>regular phrase extraction</td><td/><td/></tr><tr><td>word-based</td><td>14.88</td><td>36.61</td></tr><tr><td>phrase-based</td><td>15.32</td><td>36.90</td></tr><tr><td>graph-based</td><td>15.28</td><td>37.14</td></tr><tr><td>graph-based W v graph-based W e graph-based W v W e</td><td>15.65 15.39 15.81</td><td>37.40 37.09 37.66</td></tr><tr><td>weighted phrase extraction</td><td/><td/></tr><tr><td>weighted word-based</td><td>17.58</td><td>40.33</td></tr><tr><td>graph-based W v graph-based W v W e</td><td>17.84 17.96</td><td>40.53 40.90</td></tr></table>",
"text": "Results for the BTEC task.",
"html": null,
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"TABREF5": {
"type_str": "table",
"content": "<table><tr><td>IWSLT08 DIALOG</td><td colspan=\"2\">BLEU METEOR</td></tr><tr><td>regular phrase extraction</td><td/><td/></tr><tr><td>word-based</td><td>23.30</td><td>40.39</td></tr><tr><td>phrase-based</td><td>23.42</td><td>40.27</td></tr><tr><td>graph-based</td><td>23.52</td><td>40.37</td></tr><tr><td>graph-based W v graph-based W e graph-based W v W e</td><td>23.97 23.67 24.13</td><td>40.74 40.70 40.69</td></tr><tr><td>weighted phrase extraction</td><td/><td/></tr><tr><td>weighted word-based</td><td>24.53</td><td>44.59</td></tr><tr><td>graph-based W v graph-based W v W e</td><td>25.34 25.47</td><td>45.38 44.62</td></tr></table>",
"text": "Results for the DIALOG task using the test set from IWSLT06.",
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} |