An Optimal Quadratic Approach to Monolingual Paraphrase Alignment

We model the problem of monolingual textual alignment as a Quadratic Assignment Problem (QAP) which simultaneously maximizes the global lexicosemantic and syntactic similarities of two sentence-level texts. Because QAP is an NP-complete problem, we propose a branch-and-bound approach to efficiently find an optimal solution. When compared with other methods and studies, our results are competitive.

[1]  Alon Lavie,et al.  Meteor 1.3: Automatic Metric for Reliable Optimization and Evaluation of Machine Translation Systems , 2011, WMT@EMNLP.

[2]  Ben Taskar,et al.  Word Alignment via Quadratic Assignment , 2006, NAACL.

[3]  Eneko Agirre,et al.  SemEval-2012 Task 6: A Pilot on Semantic Textual Similarity , 2012, *SEMEVAL.

[4]  Christopher D. Manning,et al.  A Phrase-Based Alignment Model for Natural Language Inference , 2008, EMNLP.

[5]  Eric Yeh,et al.  Learning Alignments and Leveraging Natural Logic , 2007, ACL-PASCAL@ACL.

[6]  Chris Callison-Burch,et al.  A Lightweight and High Performance Monolingual Word Aligner , 2013, ACL.

[7]  Steven Bethard,et al.  Back to Basics for Monolingual Alignment: Exploiting Word Similarity and Contextual Evidence , 2014, TACL.

[8]  J. Munkres.  ALGORITHMS FOR THE ASSIGNMENT AND TRANSIORTATION tROBLEMS* , 1957 .

[9]  H. Kuhn.  The Hungarian method for the assignment problem , 1955 .

[10]  Mirella Lapata,et al.  Constructing Corpora for the Development and Evaluation of Paraphrase Systems , 2008, CL.

[11]  Kathleen McKeown,et al.  Optimal and Syntactically-Informed Decoding for Monolingual Phrase-Based Alignment , 2011, ACL.

[12]  Vasile Rus,et al.  SEMILAR: The Semantic Similarity Toolkit , 2013, ACL.

[13]  Teofilo F. Gonzalez,et al.  P-Complete Approximation Problems , 1976, J. ACM.

[14]  Michael White,et al.  A Joint Phrasal and Dependency Model for Paraphrase Alignment , 2012, COLING.

[15]  Hermann Ney,et al.  A Systematic Comparison of Various Statistical Alignment Models , 2003, CL.

[16]  Panos M. Pardalos,et al.  Quadratic Assignment Problem , 1997, Encyclopedia of Optimization.

[17]  Ted Pedersen,et al.  WordNet::Similarity - Measuring the Relatedness of Concepts , 2004, NAACL.

[18]  Chris Quirk,et al.  Unsupervised Construction of Large Paraphrase Corpora: Exploiting Massively Parallel News Sources , 2004, COLING.

[19]  T. Koopmans,et al.  Assignment Problems and the Location of Economic Activities , 1957 .

[20]  Christopher D. Manning,et al.  Generating Typed Dependency Parses from Phrase Structure Parses , 2006, LREC.

[21]  Hwee Tou Ng,et al.  MAXSIM: A Maximum Similarity Metric for Machine Translation Evaluation , 2008, ACL.

[22]  Nicos Christofides,et al.  An Exact Algorithm for the Quadratic Assignment Problem on a Tree , 1989, Oper. Res..

[23]  Kurt M. Anstreicher,et al.  Recent advances in the solution of quadratic assignment problems , 2003, Math. Program..