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{
"paper_id": "R11-1004",
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"date_generated": "2023-01-19T15:04:49.901414Z"
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"title": "Extracting Relations Within and Across Sentences",
"authors": [
{
"first": "Kumutha",
"middle": [],
"last": "Swampillai",
"suffix": "",
"affiliation": {
"laboratory": "",
"institution": "Sheffield University",
"location": {
"postCode": "S1 4DP",
"country": "UK"
}
},
"email": ""
},
{
"first": "Mark",
"middle": [],
"last": "Stevenson",
"suffix": "",
"affiliation": {
"laboratory": "",
"institution": "Sheffield University",
"location": {
"postCode": "S1 4DP",
"country": "UK"
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"email": ""
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"year": "",
"venue": null,
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"abstract": "Previous work on relation extraction has focussed on identifying relationships between entities that occur in the same sentence (intra-sentential relations) rather than between entities in different sentences (inter-sentential relations) despite previous research having shown that intersentential relations commonly occur in information extraction corpora. This paper describes a SVM-based approach to relation extraction that is applied to both types. Adapted features and techniques for counteracting bias in SVM models are used to deal with specific issues that arise in the inter-sentential case. It was found that the structured features used for intrasentential relation extraction can be easily adapted for the inter-sentential case and provides comparable performance.",
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"text": "Previous work on relation extraction has focussed on identifying relationships between entities that occur in the same sentence (intra-sentential relations) rather than between entities in different sentences (inter-sentential relations) despite previous research having shown that intersentential relations commonly occur in information extraction corpora. This paper describes a SVM-based approach to relation extraction that is applied to both types. Adapted features and techniques for counteracting bias in SVM models are used to deal with specific issues that arise in the inter-sentential case. It was found that the structured features used for intrasentential relation extraction can be easily adapted for the inter-sentential case and provides comparable performance.",
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"text": "Relation extraction is an established subfield of information extraction concerned with extracting related pairs of entities from text. The majority of research has been applied to extracting relations within single sentences (intra-sentential relations), examples include (Chieu and Ng, 2002; Culotta and Sorensen, 2004; Sekine, 2006; Banko and Etzioni, 2008) . However, an analysis of the MUC6 corpus (Swampillai and Stevenson, 2010) showed that 28.5% of the relations occur between entities in different sentences (inter-sentential relations). This paper describes a SVM-based approach which is applied to the extraction of both inter-and intra-sentential relations. A number of challenges are faced when extract-ing inter-sentential relations. The structured features, that are based on parse trees and have been successfully used for intra-sentential relation extraction, do not naturally apply over multiple sentences. The limited research published on intersentential relation extraction (Roberts et al., 2008; Hirano et al., 2010) does not employ parse tree features. We address this problem by introducing new structured features (see section 3.2) for the inter-sentential case. There is also a greater data sparsity issue when learning extraction models for inter-sentential relations due in part to the smaller number of relations expressed inter-sententially. We investigate a learning approach called threshold adjustment (Shanahan and Roma, 2003) to counter-act the imbalance in the data. The remainder of the paper is organised as follows: Section 2 discusses previous work on relation extraction. Section 3 describes a relation extraction system suitable for both inter-and intrasentential relation extraction that uses both flat and structures features. The MUC6 relation extraction task is described in Section 4. Section 5 investigates whether the bias in the relation extraction SVM models can be mitigated using threshold adaption. Section 6 reports the results of the intersentential and intra-sentential relation extraction system described. Finally, Section 7 concludes the paper with a discussion of the effectiveness of a composite kernel approach to inter-sentential relation extraction.",
"cite_spans": [
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"start": 273,
"end": 293,
"text": "(Chieu and Ng, 2002;",
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{
"start": 294,
"end": 321,
"text": "Culotta and Sorensen, 2004;",
"ref_id": "BIBREF4"
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"start": 322,
"end": 335,
"text": "Sekine, 2006;",
"ref_id": "BIBREF16"
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"start": 336,
"end": 360,
"text": "Banko and Etzioni, 2008)",
"ref_id": "BIBREF1"
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{
"start": 403,
"end": 435,
"text": "(Swampillai and Stevenson, 2010)",
"ref_id": "BIBREF19"
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"start": 995,
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"text": "(Roberts et al., 2008;",
"ref_id": "BIBREF14"
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"text": "Hirano et al., 2010)",
"ref_id": "BIBREF5"
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"start": 1435,
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"text": "(Shanahan and Roma, 2003)",
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"section": "Introduction",
"sec_num": "1"
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"text": "The majority of the work on relation extraction has focused on intra-sentential relations and there has been limited research on inter-sentential relation extraction. Roberts et al. (2008) applies an SVM approach to identify inter-sentential relations in the biomedical domain where flat features are used to represent the relations. A low performance is achieved on the inter-sentential relations alone (f-measure < 0.19) but they were able to improve overall performance by combining their inter-and intra-sentential data sets. In addition, Roberts et al. (2008) give a distribution of inter-sentential relations in their corpus where the number of inter-sentential relations occurring in a pair of sentences is inversely proportional to the number of intervening sentences with 42.9% of inter-sentential relations present in consecutive sentences.",
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"start": 167,
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"text": "Roberts et al. (2008)",
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"section": "Related Work",
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"text": "More recently Hirano et al. (2010) have reported that 12% of the relations in their Japanese news corpus are inter-sentential. It learns extraction patterns using a bootstrapped classification algorithm. A novel feature is created for intersentential relations where a tree is constructed to represent a possible relation based on a salient referent list, i.e. a map of the references in the document. The tree contains the two entities and the proposed relation type which is augmented with entity class and POS. An f-measure of 51% is reported for inter-sentential relations.",
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"text": "Hirano et al. (2010)",
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"text": "Flat features commonly used for intra-sentential relation extraction (Mintz et al., 2009) include: a feature representing the entity that occurs first in the sentence; the sequence of lexical tokens and part-of-speech (POS) tags between the two entities, in the sentence; a sequence of lexical tokens and their POS tags on the left hand side of the first entity and on the right hand side of the second entity; a dependency path between the two entities and the verbs that occur between the entities. Composite kernels using flat and structured features have been successfully applied for intra-sentential relation extraction (Zelenko et al., 2003; Bunescu and Mooney, 2004; Culotta and Sorensen, 2004; Zhou et al., 2007) . Culotta and Sorensen (2004) and Zhou et al. (2007) have shown that tree kernels combined with flat kernels are more effective for intra-sentential relation extraction than either kernel used alone. In experiments on the ACE corpus, Zhou et al. (2007) achieved f-measures of 0.741 using syntactic parse tree features which outperforms dependency trees. Zhang et al. (2006) further explored which portion of parse trees are most informative for intrasentential relation extraction by testing seven dif-ferent subtrees as features. The shortest pathenclosed tree performed the best where the shortest path-enclosed tree is the subtree that includes only the two entities participating in the relation and the intervening syntactic structure.",
"cite_spans": [
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"start": 69,
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"text": "(Mintz et al., 2009)",
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"text": "(Zelenko et al., 2003;",
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"text": "Bunescu and Mooney, 2004;",
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"start": 675,
"end": 702,
"text": "Culotta and Sorensen, 2004;",
"ref_id": "BIBREF4"
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"start": 703,
"end": 721,
"text": "Zhou et al., 2007)",
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"text": "Culotta and Sorensen (2004)",
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"start": 756,
"end": 774,
"text": "Zhou et al. (2007)",
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"end": 974,
"text": "Zhou et al. (2007)",
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"text": "Zhang et al. (2006)",
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"section": "Related Work",
"sec_num": "2"
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"text": "We classify relations using SVMs, a standard approach that has been widely used in relation extraction (Agichtein and Gravano, 2000; Zelenko et al., 2003; Roberts et al., 2008; Ittoo and Bouma, 2010) . The SVM light implementation (Joachims, 2002 ) and Moschitti's tree kernel tools (Moschitti, 2006) are used. Each pair of entities that appears in the document and is of the correct named entity types is considered a possible relation for that relation type. Features are extracted from the text to represent each possible relations and these are classified using a binary SVM model. These features are adapted from the set of commonly used features for intra-sentential relation extraction and are based on both flat features and the structured features derived from parse trees. Experiments are also conducted combining the two types of features in composite kernels.",
"cite_spans": [
{
"start": 103,
"end": 132,
"text": "(Agichtein and Gravano, 2000;",
"ref_id": "BIBREF0"
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{
"start": 133,
"end": 154,
"text": "Zelenko et al., 2003;",
"ref_id": "BIBREF23"
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{
"start": 155,
"end": 176,
"text": "Roberts et al., 2008;",
"ref_id": "BIBREF14"
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{
"start": 177,
"end": 199,
"text": "Ittoo and Bouma, 2010)",
"ref_id": "BIBREF6"
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"start": 231,
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"text": "(Joachims, 2002",
"ref_id": "BIBREF8"
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"start": 283,
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"text": "(Moschitti, 2006)",
"ref_id": "BIBREF13"
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"section": "Relation Extraction System",
"sec_num": "3"
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"text": "To our knowledge tree and composite kernels have not been applied to inter-sentential relation extraction.",
"cite_spans": [],
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"section": "Relation Extraction System",
"sec_num": "3"
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"text": "The entities participating in an inter-sentential relation can occur in any two sentences in a document; therefore the sequence of tokens between the two entities can include a large number of tokens. We therefore use a windowing method to model context of the entities separately. This feature list is given below:",
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"section": "Flat Features",
"sec_num": "3.1"
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"text": "\u2022 A window of t tokens from the surrounding context of each entity.",
"cite_spans": [],
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"section": "Flat Features",
"sec_num": "3.1"
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"text": "\u2022 A window of t POS tags from the surrounding context of each entity",
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"section": "Flat Features",
"sec_num": "3.1"
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"text": "\u2022 The two nearest dominating verbs for each of the entities, identified in the parse tree structure.",
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"section": "Flat Features",
"sec_num": "3.1"
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"text": "\u2022 A distance feature, dist, which corresponds to the number of intervening sentences between e 1 and e 2 .",
"cite_spans": [],
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"section": "Flat Features",
"sec_num": "3.1"
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"text": "The use of a window to select the token and POS tag features for each entity, instead of the sequence of tokens between two entities, avoids the situation where document length token sequence is used as a feature. In these experiments two window sizes are used: t = 6 and t = 12 which represent three and six tokens to the left-hand-side and righthand-side of e 1 and e 2 respectively. The likelihood of a inter-sentential relation is inversely proportional to the distance between the two participating entities and the dist feature adds this information to the representation.",
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"section": "Flat Features",
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"text": "Structured features used for intra-sentential relation extraction are based on parse trees. As only entities occurring in the same sentence can be part of a intra-sentential relation, it can be assumed that related entities always appear in a single parse tree. However, this assumption does not hold for inter-sentential relations. We overcame this problem by joining parse trees for pairs of entities by adding a new node (ROOT) that connects the parses. Two new features were developed using this approach based on the shortest path-enclosed tree (Zhang et al., 2006) :",
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"start": 550,
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"text": "(Zhang et al., 2006)",
"ref_id": "BIBREF24"
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"section": "Structured Features",
"sec_num": "3.2"
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"text": "\u2022 The shortest path tree (SPT) structure which only contains the shortest path between the two entities, that is the conjunction of the path from e 1 to the root and the path from e 2 to the root.",
"cite_spans": [],
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"section": "Structured Features",
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"text": "\u2022 The adapted shortest path-enclosed tree (SPET) consisting of a subtree containing the shortest path between the two participating entities and all intervening nodes and structure to provide context.",
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"section": "Structured Features",
"sec_num": "3.2"
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"text": "Examples are shown in Figure 1 .",
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"start": 22,
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"text": "Figure 1",
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"sec_num": "3.2"
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"text": "The MUC 6 management succession task identifies information about people entering or leaving management positions in organizations and has been shown to include both inter-and intrasentential relations (Swampillai and Stevenson, 2010) . The main entities participating in these events are the persons joining or leaving (Per), the positions they are taking up or vacating (Post) and the organizations in which the position exists (Org). A version of the MUC6 corpus that has been converted to binary relations is used (Swampillai and Stevenson, 2010) , where the Figure 1 : Examples of (a) shortest path-enclosed tree and (b) shortest path tree adapted for intersentential relation extraction.",
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"start": 202,
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"text": "(Swampillai and Stevenson, 2010)",
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"text": "Figure 1",
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"section": "Extraction Task",
"sec_num": "4"
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"text": "three relation types, PerOrg, PerPost and PostOrg, have been manually identified annotated. For example, the following sentences include one intra-sentential relation, PerPost(Vern Raburn, president), and two inter-sentential relations, Per-Org(Vern Raburn, Paul Allen Group) and Pos-tOrg(president, Paul Allen Group).",
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"text": "\"Paul G. Allen, the billionaire cofounder of Microsft Corp., has started a company and named longtime friend Vern Raburn its president.",
"cite_spans": [],
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"section": "Extraction Task",
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"text": "The company, to be called Paul Allen Group will be based in Bellevue, Wash., and will coordinate the overall strategy. . . \"",
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"section": "Extraction Task",
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"text": "Intuitively, inter-sentential relation extraction is related to co-reference resolution. However, whilst the resolution of anaphoric expressions can address a significant proportion of these relations, an analysis of the MUC6 corpus by Stevenson (2006) shows that many of these relations require inference across information contained in multiple sentences, possibly using discourse analysis and world knowledge. For example, the following sentences describe a PerPost relation where Kenneth Newell leaves the position of senior vice president, Europe, Africa and Mediterranean.",
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"text": "Stevenson (2006)",
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"text": "\"David J. Bronczek, vice president and general manager of Federal Express Canada Ltd., was named senior vice president, Europe, Africa and Mediterranean, at this air-express concern.",
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"text": "Mr. Bronczek succeeds Kenneth Newell, 55, who was named to the new post of senior vice president, retail service operations.\"",
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"text": "This relation can only be inferred using the knowledge that when one executive replaces another they must leave the position they are currently holding. This paper proposes an approach that does not require the kind of complex linguistic understanding required for co-reference resolution and addresses all inter-sentential relations.",
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"text": "In the case of intra-sentential relations, possible relations are constrained to pairs of entities that occur within a sentence. Whereas for intersentential relations all pairs of entities that occur in a document are possible relations. This causes an explosion in the number of negative instances in the inter-sentential case compared to the intrasentential case. This coupled with a smaller number of positive relations (only 28.5%) causes a highly unbalanced data set. The percentage of positive examples of relations in all cases is shown in Table 2 . It should be noted that there are an extremely limited number of PerPost inter-sentential relations, only 64, present in the corpus. This level of imbalance in the data set can render classifiers ineffective (Wu and Chang, 2003) . Various approaches to learning with unbalanced data have been proposed. Undersampling the negative class prior to learning (Japkowicz, 2000) discards a large proportion of the data and the data used for learning no longer approximates the probability distribution of the target population. The other approach is to introduce a bias in the learning algorithm which compensates for the unbalanced training data without discarding information. Two established methods are cost-sensitive learning (Morik et al., 1999) and hyperplane adjustment (Shanahan and Roma, 2003) both of which have been applied to the relation extraction system. Experiments comparing the two techniques showed that cost-sensitive learning does not perform as well as hyperplane adjustment and these results are not reported here.",
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"text": "Threshold adjustment is a method for counteracting the bias in SVM models resulting from unbalanced data (Shanahan and Roma, 2003) . In the case of unbalanced data the SVM hyperplane is biased towards the negative class, however the hyperplane can be offset so that it preserves the orientation of the original hyperplane but pushes it towards the negative class. The threshold, \u03b2, is used to adjust the hyperplane immediately training. Given a set of labelled training instances {x i , y i } i=1...n where input points x i map to targets y i \u2208 \u00b11, the class prediction of a new test instance x is derived using",
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"text": "where the bias b and coefficients \u03b1 i are found by SVM training and K is the kernel function. The constant \u03b2 is added to bias in the model in favour of the positive instances. Inter-sentential relation extraction is carried out for various values of \u03b2, using a prototypical feature selection, including both the flat and structured features. Table2 gives results for the baseline, \u03b2 = 0, and the results for the best performing model for each relation type where \u03b2 maximizes the f-measure. These results show that adjusting the threshold for SVMs can achieve a statistically significant 1 improvement in f-measure over standard SVM models for both relation types.",
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"text": "The relation extraction system described in Section 3 was evaluated on both inter-sentential and intra-sentential relations in the MUC6 corpus. Training and testing was performed using 10-fold nested cross validation. ",
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"text": "Nested cross-validation (Scheffer, 1999) was used to automatically set the threshold parameter, \u03b2, by optimizing it empirically during training. This method also ensures that \u03b2 is set independently from our testing data. This sub-divides the training data in each cross-validation fold into sub-folds which are used to identify the optimal value of the threshold for that particular training data. This threshold value is then used when evaluating the test data of the original cross-validation fold. The optimal threshold value of each cross-validation fold is identified in the sub-folds by training using a variety of threshold values and evaluating them on the sub-fold reserved for testing. The threshold with the highest average value across all subfolds is then used. This nested cross-validation algorithm is described in Algorithm 1.",
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"text": "The performance of various feature sets (kernels) is evaluated on both the inter-sentential (Table 3) and intra-sentential (Table 4 ) relation extraction task. The relation extraction system classifies possible relations from the corpus as one of the three relation types, PerOrg, PerPost or PostOrg. The recall, precision and f-measure metrics is reported after each classifier and kernel. The first three kernels in the tables contain flat features, where W inn indicates the inclusion of n POS tags and tokens surrounding each entity. The SP T and SP ET kernels are the shortest path-enclosed tree and the shortest path tree kernels. The final two are composite kernels combining each tree kernel, SP T and SP ET , with the overall best performing flat kernel, W in12 + Dist + V erbs. The best performance is achieved using the composite SPT kernel for all relation types and for both the inter-sentential and intra-sentential tasks. However, in the case of inter-sentential relations there is no statistically significant difference 2 be-Algorithm 1 Procedure for carrying out nested cross-validation to determine the optimal threshold value, \u03b2 * , for the training data in each fold. This algorithm extends standard cross-validation by adding an inner loop to estimate the optimal threshold value by finding the maximum f-score for each threshold value , \u03b2.",
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"text": "1: thresholds = {0.25, . . . , -1} 2: Split data, T , into 10 folds (t 1 , t 2 , ... t 10 ) 3: for i = 1 to 10 do 4:",
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"text": "test set \u2190 t i 5: training set \u2190 T \u2212 t i 6:",
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"text": "testing validation set \u2190 v j 9:",
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"text": "training validation set \u2190 training set \u2212 v j",
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"text": "Train SVM using the training validation set, evaluate on test validation set and record the predictions, pred(k).",
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"text": "for all \u03b2 \u2208 thresholds do",
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"text": "Calculate the f-measure of pred(j) with a threshold setting of \u03b2 and record, F (pred(j)) \u03b2 . ",
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"text": "F avg (\u03b2) \u2190 j=1to9 F (pred(j)) \u03b2 9 . 17:",
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"text": "end for all",
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"text": "Determine the best threshold setting, \u03b2 * , where \u03b2 * = argmax F avg (\u03b2).",
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"section": "18:",
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"text": "Train the SVM using training set, evaluate on test set with \u03b2 * as threshold setting and record performance, P (i) 20: end for 21: perf ormance \u2190 i=1to10 P (i) 10 22: return perf ormance tween the performance of the SPT kernel and the composite SPT kernel on both PerOrg and Pos- Table 4 : Performance of intra-sentential relation extraction for flat, tree and composite kernels using using threshold optimization.",
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"text": "tOrg relations. This shows the minimal contribution of flat features to the inter-sentential classification task, unlike the intra-sentential task where the addition of flat features makes a marked improvement.",
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"text": "For both tasks the relation type with the best f-measure is PostOrg at 0.809 and 0.750 for the inter-and intra-sentential relations respectively. The data set associated with this relation is the least skewed of the data sets. In contrast Per-Post, the most unbalanced data set, has the worst f-measure for the intra-sentential relation extraction task at 0.652 and fails to make any impact on the inter-sentential relation extraction task with an f-measure of only 0.200. This suggests that bias still has an effect on performance despite the steps taken to mitigate against it. Different behaviour is observed for inter-and intra-sentential relations when comparing the results of the experiments using the flat kernel. The use of a wider context feature window and surrounding verbs improves the overall f-measure scores for inter-sentential relations, substantially improving recall while slightly degrading precision. However, for the intra-sentential case adding context and verb features either maintains or degrades performance. Flat features alone achieve better performance for the inter-sentential task (0.608, 0.128 and 0.708) than for intra-sentential task (0.519, 0.615 and 0.581).",
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"sec_num": null
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"text": "Results using tree and composite kernels show that the SPT tree representation is more effective than the SPET tree for both tasks. This may be because SPET subtrees are larger and potentially contain more noise. Tree kernels perform better than those created from flat features demonstrating that structured features are hugely informative for relation extraction.",
"cite_spans": [],
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"sec_num": null
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"text": "Overall, the results show that the best performing kernel is the composite SPT kernel. This is inline with previous research into intra-sentential relation extraction (Zhou et al., 2007; Zhang et al., 2006) where the best results are achieved with a shortest path composite kernel. For intersentential relations f-measures of 0.651, 0.200 and 0.809 are achieved. The use of the composite kernel SVM approach to relation extraction gives comparable performance on the inter-sentential task except in the case of relations with extremely skewed training data.",
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"start": 167,
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"text": "This paper investigates whether state-of-the-art approaches to intra-sentential relation extraction can be effectively adapted for inter-sentential relation extraction. The results demonstrate that a composite kernel approach to inter-sentential relation extraction can achieve comparable results with intra-sentential relation extraction. We have also shown that the structured features used for intra-sentential relation extraction can be easily adapted for the inter-sentential case. The performance of structured features has been found to be superior to flat features which have previously been used for the inter-sentential relation extraction task (McDonald et al., 2005; Roberts et al., 2008) .",
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"sec_num": "7"
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"text": "Overall, composite kernels, that combine a larger context window with a SPT tree, were found to give better performance than either flat or structured features alone. Inter-sentential PerPost relations could not effectively be extracted using this approach, most likely due to the bias in the PerPost data set.",
"cite_spans": [],
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"section": "Conclusions",
"sec_num": "7"
},
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"text": "Threshold adaption, which was optimised using nested cross-validation, significantly improved the performance of SVM models for inter-sentential relation extraction. Average f-measure improved from 0.295 to 0.605, a significant improvement in performance over all kernel types.",
"cite_spans": [],
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"section": "Conclusions",
"sec_num": "7"
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"text": "Statistical significance is tested using the Mann-Whitney U test, P < 0.05.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
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"sec_num": null
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"text": "Statistical significance is tested using the Mann-Whitney U test, P < 0.05.",
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"TABREF1": {
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"text": "The bias of the data is expressed here as the percentage of positive relation instances with the total number of instances for each relation type given in brackets.",
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"content": "<table><tr><td>Kernel</td><td>R</td><td>PerOrg P</td><td>F-Meas.</td><td>R</td><td>PerPost P</td><td>F-Meas.</td><td>R</td><td>PostOrg P</td><td>F-Meas.</td></tr><tr><td>Flat</td><td/><td/><td/><td/><td/><td/><td/><td/><td/></tr><tr><td>Win 6</td><td colspan=\"2\">0.535 0.484</td><td>0.508</td><td colspan=\"2\">0.645 0.588</td><td>0.615</td><td colspan=\"2\">0.614 0.550</td><td>0.581</td></tr><tr><td>Win 12</td><td colspan=\"2\">0.628 0.441</td><td>0.519</td><td colspan=\"2\">0.654 0.561</td><td>0.604</td><td colspan=\"2\">0.521 0.503</td><td>0.512</td></tr><tr><td>Win 12+Verbs</td><td colspan=\"2\">0.589 0.459</td><td>0.516</td><td colspan=\"2\">0.660 0.571</td><td>0.612</td><td colspan=\"2\">0.415 0.596</td><td>0.489</td></tr><tr><td>Tree</td><td/><td/><td/><td/><td/><td/><td/><td/><td/></tr><tr><td>SPT</td><td colspan=\"2\">0.566 0.636</td><td>0.599</td><td colspan=\"2\">0.630 0.631</td><td>0.631</td><td colspan=\"2\">0.623 0.754</td><td>0.683</td></tr><tr><td>SPET</td><td colspan=\"2\">0.616 0.414</td><td>0.495</td><td colspan=\"2\">0.576 0.575</td><td>0.575</td><td colspan=\"2\">0.564 0.538</td><td>0.551</td></tr><tr><td>Composite</td><td/><td/><td/><td/><td/><td/><td/><td/><td/></tr><tr><td>SPT and Win 12+Verbs</td><td colspan=\"2\">0.757 0.649</td><td>0.699</td><td colspan=\"2\">0.682 0.624</td><td>0.652</td><td colspan=\"2\">0.759 0.741</td><td>0.750</td></tr><tr><td>SPET and Win 12+Verbs</td><td colspan=\"2\">0.568 0.560</td><td>0.564</td><td colspan=\"2\">0.595 0.628</td><td>0.611</td><td colspan=\"2\">0.685 0.668</td><td>0.677</td></tr></table>",
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