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{
    "paper_id": "P07-1027",
    "header": {
        "generated_with": "S2ORC 1.0.0",
        "date_generated": "2023-01-19T08:49:54.085228Z"
    },
    "title": "Learning Predictive Structures for Semantic Role Labeling of NomBank",
    "authors": [
        {
            "first": "Chang",
            "middle": [],
            "last": "Liu",
            "suffix": "",
            "affiliation": {
                "laboratory": "",
                "institution": "National University of Singapore",
                "location": {
                    "addrLine": "3 Science Drive 2",
                    "postCode": "117543",
                    "country": "Singapore"
                }
            },
            "email": "liuchan1@comp.nus.edu.sg"
        },
        {
            "first": "Hwee",
            "middle": [
                "Tou"
            ],
            "last": "Ng",
            "suffix": "",
            "affiliation": {
                "laboratory": "",
                "institution": "National University of Singapore",
                "location": {
                    "addrLine": "3 Science Drive 2",
                    "postCode": "117543",
                    "country": "Singapore"
                }
            },
            "email": ""
        }
    ],
    "year": "",
    "venue": null,
    "identifiers": {},
    "abstract": "This paper presents a novel application of Alternating Structure Optimization (ASO) to the task of Semantic Role Labeling (SRL) of noun predicates in NomBank. ASO is a recently proposed linear multi-task learning algorithm, which extracts the common structures of multiple tasks to improve accuracy, via the use of auxiliary problems. In this paper, we explore a number of different auxiliary problems, and we are able to significantly improve the accuracy of the Nom-Bank SRL task using this approach. To our knowledge, our proposed approach achieves the highest accuracy published to date on the English NomBank SRL task.",
    "pdf_parse": {
        "paper_id": "P07-1027",
        "_pdf_hash": "",
        "abstract": [
            {
                "text": "This paper presents a novel application of Alternating Structure Optimization (ASO) to the task of Semantic Role Labeling (SRL) of noun predicates in NomBank. ASO is a recently proposed linear multi-task learning algorithm, which extracts the common structures of multiple tasks to improve accuracy, via the use of auxiliary problems. In this paper, we explore a number of different auxiliary problems, and we are able to significantly improve the accuracy of the Nom-Bank SRL task using this approach. To our knowledge, our proposed approach achieves the highest accuracy published to date on the English NomBank SRL task.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Abstract",
                "sec_num": null
            }
        ],
        "body_text": [
            {
                "text": "The task of Semantic Role Labeling (SRL) is to identify predicate-argument relationships in natural language texts in a domain-independent fashion. In recent years, the availability of large human-labeled corpora such as PropBank (Palmer et al., 2005) and FrameNet (Baker et al., 1998) has made possible a statistical approach of identifying and classifying the arguments of verbs in natural language texts. A large number of SRL systems have been evaluated and compared on the standard data set in the CoNLL shared tasks (Carreras and Marquez, 2004; Carreras and Marquez, 2005) , and many systems have performed reasonably well. Compared to the previous CoNLL shared tasks (noun phrase bracketing, chunking, clause identification, and named entity recognition), SRL represents a significant step towards processing the semantic content of natural language texts.",
                "cite_spans": [
                    {
                        "start": 230,
                        "end": 251,
                        "text": "(Palmer et al., 2005)",
                        "ref_id": "BIBREF16"
                    },
                    {
                        "start": 265,
                        "end": 285,
                        "text": "(Baker et al., 1998)",
                        "ref_id": "BIBREF3"
                    },
                    {
                        "start": 522,
                        "end": 550,
                        "text": "(Carreras and Marquez, 2004;",
                        "ref_id": "BIBREF5"
                    },
                    {
                        "start": 551,
                        "end": 578,
                        "text": "Carreras and Marquez, 2005)",
                        "ref_id": "BIBREF6"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "Although verbs are probably the most obvious predicates in a sentence, many nouns are also capable of having complex argument structures, often with much more flexibility than its verb counterpart. For example, compare affect and effect: With the recent release of NomBank (Meyers et al., 2004) , it becomes possible to apply machine learning techniques to the task. So far we are aware of only one English NomBank-based SRL system (Jiang and Ng, 2006) , which uses the maximum entropy classifier, although similar efforts are reported on the Chinese NomBank by (Xue, 2006) and on FrameNet by (Pradhan et al., 2004) using a small set of hand-selected nominalizations. Noun predicates also appear in FrameNet semantic role labeling (Gildea and Jurafsky, 2002) , and many FrameNet SRL systems are evaluated in Senseval-3 (Litkowski, 2004) .",
                "cite_spans": [
                    {
                        "start": 273,
                        "end": 294,
                        "text": "(Meyers et al., 2004)",
                        "ref_id": "BIBREF14"
                    },
                    {
                        "start": 432,
                        "end": 452,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    },
                    {
                        "start": 562,
                        "end": 573,
                        "text": "(Xue, 2006)",
                        "ref_id": "BIBREF21"
                    },
                    {
                        "start": 593,
                        "end": 615,
                        "text": "(Pradhan et al., 2004)",
                        "ref_id": "BIBREF17"
                    },
                    {
                        "start": 731,
                        "end": 758,
                        "text": "(Gildea and Jurafsky, 2002)",
                        "ref_id": "BIBREF10"
                    },
                    {
                        "start": 819,
                        "end": 836,
                        "text": "(Litkowski, 2004)",
                        "ref_id": "BIBREF12"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "[ subj Auto",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "Semantic role labeling of NomBank is a multiclass classification problem by nature. Using the one-vs-all arrangement, that is, one binary classifier for each possible outcome, the SRL task can be treated as multiple binary classification problems. In the latter view, we are presented with the opportunity to exploit the common structures of these related problems. This is known as multi-task learning in the machine learning literature (Caruana, 1997; Ben-David and Schuller, 2003; Evgeniou and Pontil, 2004; Micchelli and Pontil, 2005; Maurer, 2006) .",
                "cite_spans": [
                    {
                        "start": 438,
                        "end": 453,
                        "text": "(Caruana, 1997;",
                        "ref_id": "BIBREF7"
                    },
                    {
                        "start": 454,
                        "end": 483,
                        "text": "Ben-David and Schuller, 2003;",
                        "ref_id": "BIBREF4"
                    },
                    {
                        "start": 484,
                        "end": 510,
                        "text": "Evgeniou and Pontil, 2004;",
                        "ref_id": "BIBREF9"
                    },
                    {
                        "start": 511,
                        "end": 538,
                        "text": "Micchelli and Pontil, 2005;",
                        "ref_id": "BIBREF15"
                    },
                    {
                        "start": 539,
                        "end": 552,
                        "text": "Maurer, 2006)",
                        "ref_id": "BIBREF13"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "In this paper, we apply Alternating Structure Optimization (ASO) (Ando and Zhang, 2005a) to the semantic role labeling task on NomBank. ASO is a recently proposed linear multi-task learning algorithm based on empirical risk minimization. The method requires the use of multiple auxiliary problems, and its effectiveness may vary depending on the specific auxiliary problems used. ASO has been shown to be effective on the following natural language processing tasks: text categorization, named entity recognition, part-of-speech tagging, and word sense disambiguation (Ando and Zhang, 2005a; Ando and Zhang, 2005b; Ando, 2006) . This paper makes two significant contributions. First, we present a novel application of ASO to the SRL task on NomBank. We explore the effect of different auxiliary problems, and show that learning predictive structures with ASO results in significantly improved SRL accuracy. Second, we achieve accuracy higher than that reported in (Jiang and Ng, 2006) and advance the state of the art in SRL research.",
                "cite_spans": [
                    {
                        "start": 65,
                        "end": 88,
                        "text": "(Ando and Zhang, 2005a)",
                        "ref_id": "BIBREF0"
                    },
                    {
                        "start": 568,
                        "end": 591,
                        "text": "(Ando and Zhang, 2005a;",
                        "ref_id": "BIBREF0"
                    },
                    {
                        "start": 592,
                        "end": 614,
                        "text": "Ando and Zhang, 2005b;",
                        "ref_id": "BIBREF1"
                    },
                    {
                        "start": 615,
                        "end": 626,
                        "text": "Ando, 2006)",
                        "ref_id": "BIBREF2"
                    },
                    {
                        "start": 964,
                        "end": 984,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "The rest of this paper is organized as follows. We give an overview of NomBank and ASO in Sections 2 and 3 respectively. The baseline linear classifier is described in detail in Section 4, followed by the description of the ASO classifier in Section 5, where we focus on exploring different auxiliary problems. We provide discussions in Section 6, present related work in Section 7, and conclude in Section 8.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Introduction",
                "sec_num": "1"
            },
            {
                "text": "NomBank annotates the set of arguments of noun predicates, just as PropBank annotates the arguments of verb predicates. As many noun predicates are nominalizations (e.g., replacement vs. replace), the same frames are shared with PropBank as much as possible, thus achieving some consistency with the latter regarding the accepted arguments and the meanings of each label.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "NomBank",
                "sec_num": "2"
            },
            {
                "text": "Unlike in PropBank, arguments in NomBank can overlap with each other and with the predicate. For example:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "NomBank",
                "sec_num": "2"
            },
            {
                "text": "[ location U.S.] [ pred,subj,obj steelmakers]",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "NomBank",
                "sec_num": "2"
            },
            {
                "text": "have supplied the steel.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "NomBank",
                "sec_num": "2"
            },
            {
                "text": "Here the predicate make has subject steelmakers and object steel, analogous to Steelmakers make steel. The difference is that here make and steel are both part of the word steelmaker.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "NomBank",
                "sec_num": "2"
            },
            {
                "text": "Each argument in NomBank is given one or more labels, out of the following 20: ARG0, ARG1, ARG2, ",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "NomBank",
                "sec_num": "2"
            },
            {
                "text": "This section gives a brief overview of ASO as implemented in this work. For a more complete description, see (Ando and Zhang, 2005a) .",
                "cite_spans": [
                    {
                        "start": 109,
                        "end": 132,
                        "text": "(Ando and Zhang, 2005a)",
                        "ref_id": "BIBREF0"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Alternating structure optimization",
                "sec_num": "3"
            },
            {
                "text": "Given a set of training samples consisting of n feature vectors and their corresponding binary labels, {X i , Y i } for i \u2208 {1, . . . , n} where each X i is a p-dimensional vector, a binary linear classifier attempts to approximate the unknown relation by Y i = u T X i . The outcome is considered +1 if u T X is positive, or -1 otherwise. A well-established way to find the weight vector u is empirical risk minimization with least square regularization:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "u = arg min u 1 n n i=1 L u T X i , Y i + \u03bb u 2 (1) Function L(p, y)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "is known as the loss function. It encodes the penalty for a given discrepancy between the predicted label and the true label. In this work, we use a modification of Huber's robust loss function, similar to that used in (Ando and Zhang, 2005a) :",
                "cite_spans": [
                    {
                        "start": 219,
                        "end": 242,
                        "text": "(Ando and Zhang, 2005a)",
                        "ref_id": "BIBREF0"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "EQUATION",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [
                    {
                        "start": 0,
                        "end": 8,
                        "text": "EQUATION",
                        "ref_id": "EQREF",
                        "raw_str": "L(p, y) = \uf8f1 \uf8f2 \uf8f3 \u22124py if py < \u22121 (1 \u2212 py) 2 if \u22121 \u2264 py < 1 0 if py \u2265 1",
                        "eq_num": "(2)"
                    }
                ],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "We fix the regularization parameter \u03bb to 10 \u22124 , similar to that used in (Ando and Zhang, 2005a) . The expression u 2 is defined as p i=1 u 2 p . When m binary classification problems are to be solved together, a h\u00d7p matrix \u0398 may be used to capture the common structures of the m weight vectors u l for l \u2208 {1, . . . , m} (h \u2264 m). We mandate that the rows of \u0398 be orthonormal, i.e., \u0398\u0398 T = I h\u00d7h . The h rows of \u0398 represent the h most significant components shared by all the u's. This relationship is modeled by",
                "cite_spans": [
                    {
                        "start": 73,
                        "end": 96,
                        "text": "(Ando and Zhang, 2005a)",
                        "ref_id": "BIBREF0"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "u l = w l + \u0398 T v l (3)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "The parameters [{w l , v l }, \u0398] may then be found by joint empirical risk minimization over all the m problems, i.e., their values should minimize the combined empirical risk:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "m l=1 1 n n i=1 L (w l + \u0398 T v l ) T X l i , Y l i + \u03bb w l 2 (4)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Multi-task linear classifier",
                "sec_num": "3.1"
            },
            {
                "text": "An important observation in (Ando and Zhang, 2005a) is that the binary classification problems used to derive \u0398 are not necessarily those problems we are aiming to solve. In fact, new problems can be invented for the sole purpose of obtaining a better \u0398. Thus, we distinguish between two types of problems in ASO: auxiliary problems, which are used to obtain \u0398, and target problems, which are the problems we are aiming to solve 1 . For instance, in the argument identification task, the only target problem is to identify arguments vs. non-arguments, whereas in the argument classification task, there are 20 binary target problems, one to identify each of the 20 labels (ARG0, ARG1, . . . ).",
                "cite_spans": [
                    {
                        "start": 28,
                        "end": 51,
                        "text": "(Ando and Zhang, 2005a)",
                        "ref_id": "BIBREF0"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "The ASO algorithm",
                "sec_num": "3.2"
            },
            {
                "text": "The target problems can also be used as an auxiliary problem. In addition, we can invent new auxiliary problems, e.g., in the argument identification stage, we can predict whether there are three words between the constituent and the predicate using the features of argument identification.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "The ASO algorithm",
                "sec_num": "3.2"
            },
            {
                "text": "Assuming there are k target problems and m auxiliary problems, it is shown in (Ando and Zhang, 2005a ) that by performing one round of minimization, an approximate solution of \u0398 can be obtained from (4) by the following algorithm:",
                "cite_spans": [
                    {
                        "start": 78,
                        "end": 100,
                        "text": "(Ando and Zhang, 2005a",
                        "ref_id": "BIBREF0"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "The ASO algorithm",
                "sec_num": "3.2"
            },
            {
                "text": "1. For each of the m auxiliary problems, learn u l as described by (1).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "The ASO algorithm",
                "sec_num": "3.2"
            },
            {
                "text": "U = [u 1 , u 2 , . . . , u m ], a p \u00d7 m matrix.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "This is a simplified version of the definition in (Ando and Zhang, 2005a) , made possible because the same \u03bb is used for all auxiliary problems.",
                "cite_spans": [
                    {
                        "start": 50,
                        "end": 73,
                        "text": "(Ando and Zhang, 2005a)",
                        "ref_id": "BIBREF0"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "3. Perform Singular Value Decomposition (SVD) on U :",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "U = V 1 DV T 2 , where V 1 is a p \u00d7 m ma- trix.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "The first h columns of V 1 are stored as rows of \u0398.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "4. Given \u0398, we learn w and v for each of the k target problems by minimizing the empirical risk of the associated training samples:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "1 n n i=1 L (w + \u0398 T v) T X i , Y i + \u03bb w 2 (5)",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "5. The weight vector of each target problem can be found by:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "EQUATION",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [
                    {
                        "start": 0,
                        "end": 8,
                        "text": "EQUATION",
                        "ref_id": "EQREF",
                        "raw_str": "u = w + \u0398 T v",
                        "eq_num": "(6)"
                    }
                ],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "By choosing a convex loss function, e.g., (2), steps 1 and 4 above can be formulated as convex optimization problems and are efficiently solvable.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "The procedure above can be considered as a Principal Component Analysis in the predictor space.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "Step (3) above extracts the most significant components shared by the predictors of the auxiliary problems and hopefully, by the predictors of the target problems as well. The hint of potential significant components helps (5) to outperform the simple linear predictor (1).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Find",
                "sec_num": "2."
            },
            {
                "text": "The SRL task is typically separated into two stages: argument identification and argument classification. During the identification stage, each constituent in a sentence's parse tree is labeled as either argument or non-argument. During the classification stage, each argument is given one of the 20 possible labels (ARG0, ARG1, . . . ). The linear classifier described by (1) is used as the baseline in both stages. For comparison, the F1 scores of a maximum entropy classifier are also reported here.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Baseline classifier",
                "sec_num": "4"
            },
            {
                "text": "Eighteen baseline features and six additional features are proposed in (Jiang and Ng, 2006) for Nom-Bank argument identification. As the improvement of the F1 score due to the additional features is not statistically significant, we use the set of eighteen baseline features for simplicity. These features are reproduced in Table 1 for easy reference.",
                "cite_spans": [
                    {
                        "start": 71,
                        "end": 91,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    }
                ],
                "ref_spans": [
                    {
                        "start": 324,
                        "end": 331,
                        "text": "Table 1",
                        "ref_id": "TABREF1"
                    }
                ],
                "eq_spans": [],
                "section": "Argument identification",
                "sec_num": "4.1"
            },
            {
                "text": "Unlike in (Jiang and Ng, 2006) , we do not prune arguments dominated by other arguments or those that overlap with the predicate in the training data. Accordingly, we do not maximize the probability of the entire labeled parse tree as in (Toutanova et al., 2005) . After the features of every constituent are extracted, each constituent is simply classified independently as either argument or non-argument.",
                "cite_spans": [
                    {
                        "start": 10,
                        "end": 30,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    },
                    {
                        "start": 238,
                        "end": 262,
                        "text": "(Toutanova et al., 2005)",
                        "ref_id": "BIBREF19"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Argument identification",
                "sec_num": "4.1"
            },
            {
                "text": "The linear classifier described above is trained on sections 2 to 21 and tested on section 23. A maximum entropy classifier is trained and tested in the same manner. The F1 scores are presented in the first row of Table 3 , in columns linear and maxent respectively. The J&N column presents the result reported in (Jiang and Ng, 2006) using both baseline and additional features. The last column aso presents the best result from this work, to be explained in Section 5.",
                "cite_spans": [
                    {
                        "start": 314,
                        "end": 334,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    }
                ],
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                    {
                        "start": 214,
                        "end": 221,
                        "text": "Table 3",
                        "ref_id": "TABREF4"
                    }
                ],
                "eq_spans": [],
                "section": "Argument identification",
                "sec_num": "4.1"
            },
            {
                "text": "In NomBank, some constituents have more than one label. For simplicity, we always assign exactly one label to each identified argument in this step. For the 0.16% arguments with multiple labels in the training A diverse set of 28 features is used in (Jiang and Ng, 2006) for argument classification. In this work, the number of features is pruned to 11, so that we can work with reasonably many auxiliary problems in later experiments with ASO.",
                "cite_spans": [
                    {
                        "start": 250,
                        "end": 270,
                        "text": "(Jiang and Ng, 2006)",
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                    }
                ],
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                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "4.2"
            },
            {
                "text": "To find a smaller set of effective features, we start with all the features considered in (Jiang and Ng, 2006) , in (Xue and Palmer, 2004) , and various combinations of them, for a total of 52 features. These features are then pruned by the following algorithm:",
                "cite_spans": [
                    {
                        "start": 90,
                        "end": 110,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    },
                    {
                        "start": 116,
                        "end": 138,
                        "text": "(Xue and Palmer, 2004)",
                        "ref_id": "BIBREF20"
                    }
                ],
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                "sec_num": "4.2"
            },
            {
                "text": "1. For each feature in the current feature set, do step (2).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "4.2"
            },
            {
                "text": "2. Remove the selected feature from the feature set. Obtain the F1 score of the remaining features when applied to the argument classification task, on development data section 24 with gold identification. Table 2 : Features used in argument classification step (2). The corresponding feature is removed from the current feature set if its F1 score is the same as or higher than the F1 score of retaining all features. 4. Repeat steps (1)-(3) until the F1 score starts to drop.",
                "cite_spans": [],
                "ref_spans": [
                    {
                        "start": 206,
                        "end": 213,
                        "text": "Table 2",
                        "ref_id": null
                    }
                ],
                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "4.2"
            },
            {
                "text": "The 11 features so obtained are presented in Table 2. Using these features, a linear classifier and a maximum entropy classifier are trained on sections 2 to 21, and tested on section 23. The F1 scores are presented in the second row of Table 3 , in columns linear and maxent respectively. The J&N column presents the result reported in (Jiang and Ng, 2006) .",
                "cite_spans": [
                    {
                        "start": 337,
                        "end": 357,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    }
                ],
                "ref_spans": [
                    {
                        "start": 237,
                        "end": 244,
                        "text": "Table 3",
                        "ref_id": "TABREF4"
                    }
                ],
                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "4.2"
            },
            {
                "text": "In the combined task, we run the identification task with gold parse trees, and then the classification task with the output of the identification task. This way the combined effect of errors from both stages on the final classification output can be assessed. The scores of this complete SRL system are presented in the third row of Table 3 .",
                "cite_spans": [],
                "ref_spans": [
                    {
                        "start": 334,
                        "end": 341,
                        "text": "Table 3",
                        "ref_id": "TABREF4"
                    }
                ],
                "eq_spans": [],
                "section": "Further experiments and discussion",
                "sec_num": "4.3"
            },
            {
                "text": "To test the performance of the combined task on automatic parse trees, we employ two different configurations. First, we train the various classifiers on sections 2 to 21 using gold argument labels and automatic parse trees produced by Charniak's reranking parser (Charniak and Johnson, 2005) , and test them on section 23 with automatic parse trees. This is the same configuration as reported in (Pradhan et al., 2005; Jiang and Ng, 2006) . The scores are presented in the fourth row auto parse (t&t) in Table 3 .",
                "cite_spans": [
                    {
                        "start": 264,
                        "end": 292,
                        "text": "(Charniak and Johnson, 2005)",
                        "ref_id": "BIBREF8"
                    },
                    {
                        "start": 397,
                        "end": 419,
                        "text": "(Pradhan et al., 2005;",
                        "ref_id": "BIBREF18"
                    },
                    {
                        "start": 420,
                        "end": 439,
                        "text": "Jiang and Ng, 2006)",
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                    }
                ],
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                    {
                        "start": 505,
                        "end": 512,
                        "text": "Table 3",
                        "ref_id": "TABREF4"
                    }
                ],
                "eq_spans": [],
                "section": "Further experiments and discussion",
                "sec_num": "4.3"
            },
            {
                "text": "Next, we train the various classifiers on sections 2 to 21 using gold argument labels and gold parse trees. To minimize the discrepancy between gold and automatic parse trees, we remove all the nodes in the gold trees whose POS are -NONE-, as they do not span any word and are thus never generated by the automatic parser. The resulting classifiers are then tested on section 23 using automatic parse trees. The scores are presented in the last row auto parse (test) of Table 3 . We note that auto parse (test) consistently outperforms auto parse (t&t) .",
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                    {
                        "start": 547,
                        "end": 552,
                        "text": "(t&t)",
                        "ref_id": null
                    }
                ],
                "ref_spans": [
                    {
                        "start": 470,
                        "end": 477,
                        "text": "Table 3",
                        "ref_id": "TABREF4"
                    }
                ],
                "eq_spans": [],
                "section": "Further experiments and discussion",
                "sec_num": "4.3"
            },
            {
                "text": "We believe that auto parse (test) is a more realistic setting in which to test the performance of SRL on automatic parse trees. When presented with some previously unseen test data, we are forced to rely on its automatic parse trees. However, for the best results we should take advantage of gold parse trees whenever possible, including those of the labeled training data. Our maximum entropy classifier consistently outperforms (Jiang and Ng, 2006) , which also uses a maximum entropy classifier. The primary difference is that we use a later version of NomBank (September 2006 release vs. September 2005 release). In addition, we use somewhat different features and treat overlapping arguments differently.",
                "cite_spans": [
                    {
                        "start": 430,
                        "end": 450,
                        "text": "(Jiang and Ng, 2006)",
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                ],
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                "section": "Further experiments and discussion",
                "sec_num": "4.3"
            },
            {
                "text": "Our ASO classifier uses the same features as the baseline linear classifier. The defining characteristic, and also the major challenge in successfully applying the ASO algorithm is to find related auxiliary problems that can reveal common structures shared with the target problem. To organize our search for good auxiliary problems for SRL, we separate them into two categories, unobservable auxiliary problems and observable auxiliary problems.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Applying ASO to SRL",
                "sec_num": "5"
            },
            {
                "text": "Unobservable auxiliary problems are problems whose true outcome cannot be observed from a raw text corpus but must come from another source, e.g., human labeling. For instance, predicting the argument class (i.e., ARG0, ARG1, . . . ) of a constituent is an unobservable auxiliary problem (which is also the only usable unobservable auxiliary problem here), because the true outcomes (i.e., the argument classes) are only available from human labels annotated in NomBank.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "For argument identification, we invent the following 20 binary unobservable auxiliary problems to take advantage of information previously unused at this stage:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "To predict the outcome of argument classification (i.e., ARG0, ARG1, . . . ) using the features of argument identification (pred, subcat, . . . ).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "Thus for argument identification, we have 20 auxiliary problems (one auxiliary problem for predicting each of the argument classes ARG0, ARG1, . . . ) and one target problem (predicting whether a constituent is an argument) for the ASO algorithm described in Section 3.2.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "In the argument classification task, the 20 binary target problems are also the unobservable auxiliary problems (one auxiliary problem for predicting each of the argument classes ARG0, ARG1, . . . ). Thus, we use the same 20 problems as both auxiliary problems and target problems.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "We train an ASO classifier on sections 2 to 21 and test it on section 23. With the 20 unobservable auxiliary problems, we obtain the F1 scores reported in the last column of Table 3 . In all the experiments, we keep h = 20, i.e., all the 20 columns of V 1 are kept.",
                "cite_spans": [],
                "ref_spans": [
                    {
                        "start": 174,
                        "end": 181,
                        "text": "Table 3",
                        "ref_id": "TABREF4"
                    }
                ],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "Comparing the F1 score of ASO against that of the linear classifier in every task (i.e., identification, classification, combined, both auto parse configurations), the improvement achieved by ASO is statistically significant (p < 0.05) based on the \u03c7 2 test.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "Comparing the F1 score of ASO against that of the maximum entropy classifier, the improvement in all but one task (argument classification) is statistically significant (p < 0.05). For argument classification, the improvement is not statistically significant (p = 0.08).",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Unobservable auxiliary problems",
                "sec_num": "5.1"
            },
            {
                "text": "Observable auxiliary problems are problems whose true outcome can be observed from a raw text corpus without additional externally provided labels. An example is to predict whether hw=trader from a constituent's other features, since the head word of a constituent can be obtained from the raw text alone. By definition, an observable auxiliary problem can always be formulated as predicting a feature of the training data. Depending on whether the baseline linear classifier already uses the feature to be predicted, we face two possibilities:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Observable auxiliary problems",
                "sec_num": "5.2"
            },
            {
                "text": "Predicting a used feature In auxiliary problems of this type, we must take care to remove the feature itself from the training data. For example, we must not use the feature path or pred&path to predict path itself.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Observable auxiliary problems",
                "sec_num": "5.2"
            },
            {
                "text": "Predicting an unused feature These auxiliary problems provide information that the classifier was previously unable to incorporate. The desirable characteristics of such a feature are:",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Observable auxiliary problems",
                "sec_num": "5.2"
            },
            {
                "text": "1. The feature, although unused, should have been considered for the target problem so it is probably related to the target problem.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Observable auxiliary problems",
                "sec_num": "5.2"
            },
            {
                "text": "2. The feature should not be highly correlated with a used feature, e.g., since the lastword feature is used in argument identification, we will not consider predicting lastword.pos as an auxiliary problem.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Observable auxiliary problems",
                "sec_num": "5.2"
            },
            {
                "text": "Each chosen feature can create thousands of binary auxiliary problems. E.g., by choosing to predict hw, we can create auxiliary problems predicting whether hw=to, whether hw=trader, etc. To have more positive training samples, we only predict the most frequent features. Thus we will probably predict whether hw=to, but not whether hw=trader, since to occurs more frequently than trader as a head word.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Observable auxiliary problems",
                "sec_num": "5.2"
            },
            {
                "text": "In argument identification using gold parse trees, we experiment with predicting three unused features as auxiliary problems: distance (distance between the predicate and the constituent), parent.lsis.hw (head word of the parent constituent's left sister) and parent.rsis.hw (head word of the parent constituent's right sister). We then experiment with predicting four used features: hw, lastword, ptype and path.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Argument identification",
                "sec_num": "5.2.1"
            },
            {
                "text": "The ASO classifier is trained on sections 2 to 21, and tested on section 23. Due to the large data size, we are unable to use more than 20 binary auxiliary problems or to experiment with combinations of them. The F1 scores are presented in Table 4 .",
                "cite_spans": [],
                "ref_spans": [
                    {
                        "start": 240,
                        "end": 247,
                        "text": "Table 4",
                        "ref_id": "TABREF6"
                    }
                ],
                "eq_spans": [],
                "section": "Argument identification",
                "sec_num": "5.2.1"
            },
            {
                "text": "In argument classification using gold parse trees and gold identification, we experiment with predicting three unused features path, partialpath, and chunkseq (concatenation of the phrase types of text chunks between the predicate and the constituent). We then experiment with predicting three used features hw, lastword, and ptype.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "5.2.2"
            },
            {
                "text": "Combinations of these auxiliary problems are also tested. In all combined, we use the first 100 problems from each of the six groups of observable auxiliary problems. In selected combined, we use the first 100 problems from each of path, chunkseq, lastword and ptype problems.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "5.2.2"
            },
            {
                "text": "The ASO classifier is trained on sections 2 to 21, and tested on section 23. The F1 scores are shown in Table 5 ",
                "cite_spans": [],
                "ref_spans": [
                    {
                        "start": 104,
                        "end": 111,
                        "text": "Table 5",
                        "ref_id": "TABREF7"
                    }
                ],
                "eq_spans": [],
                "section": "Argument classification",
                "sec_num": "5.2.2"
            },
            {
                "text": "Some of our experiments are limited by the extensive computing resources required for a fuller exploration. For instance, \"predicting unused features\" type of auxiliary problems might hold some hope for further improvement in argument identification, if a larger number of auxiliary problems can be used.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Discussions",
                "sec_num": "6"
            },
            {
                "text": "ASO has been demonstrated to be an effective semi-supervised learning algorithm (Ando and Zhang, 2005a; Ando and Zhang, 2005b; Ando, 2006) . However, we have been unable to use unlabeled data to improve the accuracy. One possible reason is the cumulative noise from the many cascading steps involved in automatic SRL of unlabeled data: syntactic parse, predicate identification (where we identify nouns with at least one argument), argument identification, and finally argument classification, which reduces the effectiveness of adding unlabeled data using ASO. (Caruana, 1997) discusses configurations where both used inputs and unused inputs (due to excessive noise) are utilized as additional outputs. In contrast, our work concerns linear predictors using empirical risk minimization.",
                "cite_spans": [
                    {
                        "start": 80,
                        "end": 103,
                        "text": "(Ando and Zhang, 2005a;",
                        "ref_id": "BIBREF0"
                    },
                    {
                        "start": 104,
                        "end": 126,
                        "text": "Ando and Zhang, 2005b;",
                        "ref_id": "BIBREF1"
                    },
                    {
                        "start": 127,
                        "end": 138,
                        "text": "Ando, 2006)",
                        "ref_id": "BIBREF2"
                    },
                    {
                        "start": 562,
                        "end": 577,
                        "text": "(Caruana, 1997)",
                        "ref_id": "BIBREF7"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Discussions",
                "sec_num": "6"
            },
            {
                "text": "A variety of auxiliary problems are tested in (Ando and Zhang, 2005a; Ando and Zhang, 2005b) in the semi-supervised settings, i.e., their auxiliary problems are generated from unlabeled data. This differs significantly from the supervised setting in our work, where only labeled data is used. While (Ando and Zhang, 2005b) uses \"predicting used features\" (previous/current/next word) as auxiliary problems with good results in named entity recognition, the use of similar observable auxiliary problems in our work gives no statistically significant improvements.",
                "cite_spans": [
                    {
                        "start": 46,
                        "end": 69,
                        "text": "(Ando and Zhang, 2005a;",
                        "ref_id": "BIBREF0"
                    },
                    {
                        "start": 70,
                        "end": 92,
                        "text": "Ando and Zhang, 2005b)",
                        "ref_id": "BIBREF1"
                    },
                    {
                        "start": 299,
                        "end": 322,
                        "text": "(Ando and Zhang, 2005b)",
                        "ref_id": "BIBREF1"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Discussions",
                "sec_num": "6"
            },
            {
                "text": "More recently, for the word sense disambiguation (WSD) task, (Ando, 2006) experimented with both supervised and semi-supervised auxiliary problems, although the auxiliary problems she used are different from ours.",
                "cite_spans": [
                    {
                        "start": 61,
                        "end": 73,
                        "text": "(Ando, 2006)",
                        "ref_id": "BIBREF2"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Discussions",
                "sec_num": "6"
            },
            {
                "text": "In this paper, we have presented a novel application of Alternating Structure Optimization (ASO) to the Semantic Role Labeling (SRL) task on NomBank. The possible auxiliary problems are categorized and tested extensively. Our results outperform those reported in (Jiang and Ng, 2006) . To the best of our knowledge, we achieve the highest SRL accuracy published to date on the English NomBank.",
                "cite_spans": [
                    {
                        "start": 263,
                        "end": 283,
                        "text": "(Jiang and Ng, 2006)",
                        "ref_id": "BIBREF11"
                    }
                ],
                "ref_spans": [],
                "eq_spans": [],
                "section": "Conclusion",
                "sec_num": "8"
            },
            {
                "text": "Note that this definition deviates slightly from the one in(Ando and Zhang, 2005a). We find the definition here more convenient for our subsequent discussion.",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "",
                "sec_num": null
            },
            {
                "text": ". Select the highest of all the scores obtained in",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "",
                "sec_num": null
            },
            {
                "text": "Multi-output neural networks learn several tasks simultaneously. In addition to the target outputs,",
                "cite_spans": [],
                "ref_spans": [],
                "eq_spans": [],
                "section": "",
                "sec_num": null
            }
        ],
        "back_matter": [],
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        "ref_entries": {
            "FIGREF0": {
                "num": null,
                "text": "ARG3, ARG4, ARG5, ARG8, ARG9, ARGM-ADV, ARGM-CAU, ARGM-DIR, ARGM-DIS, ARGM-EXT, ARGM-LOC, ARGM-MNR, ARGM-MOD, ARGM-NEG, ARGM-PNC, ARGM-PRD, and ARGM-TMP. Thus, the above sentence is annotated in NomBank as: [ ARGM-LOC U.S.] [ PRED,ARG0,ARG1 steelmakers] have supplied the steel.",
                "uris": null,
                "type_str": "figure"
            },
            "TABREF0": {
                "html": null,
                "type_str": "table",
                "text": "prices] [ arg\u2212ext greatly] [ pred affect] [ obj the PPI]. [ subj Auto prices] have a [ arg\u2212ext big] [ pred effect] [ obj on the PPI]. The [ pred effect] [ subj of auto prices] [ obj on the PPI] is [ arg\u2212ext big]. [ subj The auto prices'] [ pred effect] [ obj on the PPI] is [ arg\u2212ext big]. The arguments of noun predicates can often be more easily omitted compared to the verb predicates: The [ pred effect] [ subj of auto prices] is [ arg\u2212ext big]. The [ pred effect] [ obj on the PPI] is [ arg\u2212ext big]. The [ pred effect] is [ arg\u2212ext big].",
                "content": "<table/>",
                "num": null
            },
            "TABREF1": {
                "html": null,
                "type_str": "table",
                "text": "Features used in argument identification data, we pick the first and discard the rest. (Note that the same is not done on the test data.)",
                "content": "<table><tr><td>1 pred</td><td>the stemmed predicate</td></tr><tr><td>2 subcat</td><td>grammar rule that expands the</td></tr><tr><td/><td>predicate P's parent</td></tr><tr><td>3 ptype</td><td>syntactic category (phrase</td></tr><tr><td/><td>type) of the constituent C</td></tr><tr><td>4 hw</td><td>syntactic head word of C</td></tr><tr><td>5 path</td><td>syntactic path from C to P</td></tr><tr><td>6 position</td><td>whether C is to the left/right of</td></tr><tr><td/><td>or overlaps with P</td></tr><tr><td>7 firstword</td><td>first word spanned by C</td></tr><tr><td>8 lastword</td><td>last word spanned by C</td></tr><tr><td>9 lsis.ptype</td><td>phrase type of left sister</td></tr><tr><td>10 rsis.hw</td><td>right sister's head word</td></tr><tr><td colspan=\"2\">11 rsis.hw.pos POS of right sister's head word</td></tr><tr><td colspan=\"2\">12 parent.ptype phrase type of parent</td></tr><tr><td>13 parent.hw</td><td>parent's head word</td></tr><tr><td>14 partialpath</td><td>path from C to the lowest com-</td></tr><tr><td/><td>mon ancestor with P</td></tr><tr><td colspan=\"2\">15 ptype &amp; length of path</td></tr><tr><td>16 pred &amp; hw</td><td/></tr><tr><td>17 pred &amp; path</td><td/></tr><tr><td colspan=\"2\">18 pred &amp; position</td></tr></table>",
                "num": null
            },
            "TABREF4": {
                "html": null,
                "type_str": "table",
                "text": "F1 scores of various classifiers on Nom-Bank SRL",
                "content": "<table/>",
                "num": null
            },
            "TABREF6": {
                "html": null,
                "type_str": "table",
                "text": "F1 scores of ASO with observable auxiliary problems on argument identification. All h = 20.",
                "content": "<table><tr><td>From Table 4 and 5, we observe that although</td></tr><tr><td>the use of observable auxiliary problems consis-</td></tr></table>",
                "num": null
            },
            "TABREF7": {
                "html": null,
                "type_str": "table",
                "text": "F1 scores of ASO with observable auxiliary problems on argument classification. All h = 100.",
                "content": "<table><tr><td>tently improves the performance of the classifier,</td></tr><tr><td>the differences are small and not statistically signif-</td></tr><tr><td>icant. Further experiments combining unobservable</td></tr><tr><td>and observable auxiliary problems fail to outperform</td></tr><tr><td>ASO with unobservable auxiliary problems alone.</td></tr><tr><td>In summary, our work shows that unobservable</td></tr><tr><td>auxiliary problems significantly improve the perfor-</td></tr><tr><td>mance of NomBank SRL. In contrast, observable</td></tr><tr><td>auxiliary problems are not effective.</td></tr></table>",
                "num": null
            }
        }
    }
}