[{"abstract":[{"text":"We consider two models for the sequence labeling (tagging) problem. The first one is a Pattern-Based Conditional Random Field (PB), in which the energy of a string (chain labeling) x=x1⁢…⁢xn∈Dn is a sum of terms over intervals [i,j] where each term is non-zero only if the substring xi⁢…⁢xj equals a prespecified word w∈Λ. The second model is a Weighted Context-Free Grammar (WCFG) frequently used for natural language processing. PB and WCFG encode local and non-local interactions respectively, and thus can be viewed as complementary. We propose a Grammatical Pattern-Based CRF model (GPB) that combines the two in a natural way. We argue that it has certain advantages over existing approaches such as the Hybrid model of Benedí and Sanchez that combines N-grams and WCFGs. The focus of this paper is to analyze the complexity of inference tasks in a GPB such as computing MAP. We present a polynomial-time algorithm for general GPBs and a faster version for a special case that we call Interaction Grammars.","lang":"eng"}],"year":"2022","citation":{"mla":"Takhanov, Rustem, and Vladimir Kolmogorov. “Combining Pattern-Based CRFs and Weighted Context-Free Grammars.” <i>Intelligent Data Analysis</i>, vol. 26, no. 1, IOS Press, 2022, pp. 257–72, doi:<a href=\"https://doi.org/10.3233/IDA-205623\">10.3233/IDA-205623</a>.","apa":"Takhanov, R., &#38; Kolmogorov, V. (2022). Combining pattern-based CRFs and weighted context-free grammars. <i>Intelligent Data Analysis</i>. IOS Press. <a href=\"https://doi.org/10.3233/IDA-205623\">https://doi.org/10.3233/IDA-205623</a>","chicago":"Takhanov, Rustem, and Vladimir Kolmogorov. “Combining Pattern-Based CRFs and Weighted Context-Free Grammars.” <i>Intelligent Data Analysis</i>. IOS Press, 2022. <a href=\"https://doi.org/10.3233/IDA-205623\">https://doi.org/10.3233/IDA-205623</a>.","short":"R. Takhanov, V. Kolmogorov, Intelligent Data Analysis 26 (2022) 257–272.","ieee":"R. Takhanov and V. Kolmogorov, “Combining pattern-based CRFs and weighted context-free grammars,” <i>Intelligent Data Analysis</i>, vol. 26, no. 1. IOS Press, pp. 257–272, 2022.","ista":"Takhanov R, Kolmogorov V. 2022. Combining pattern-based CRFs and weighted context-free grammars. Intelligent Data Analysis. 26(1), 257–272.","ama":"Takhanov R, Kolmogorov V. Combining pattern-based CRFs and weighted context-free grammars. <i>Intelligent Data Analysis</i>. 2022;26(1):257-272. doi:<a href=\"https://doi.org/10.3233/IDA-205623\">10.3233/IDA-205623</a>"},"_id":"10737","date_created":"2022-02-06T23:01:32Z","article_type":"original","publication_identifier":{"eissn":["1571-4128"],"issn":["1088-467X"]},"doi":"10.3233/IDA-205623","main_file_link":[{"url":"https://arxiv.org/abs/1404.5475","open_access":"1"}],"scopus_import":"1","article_processing_charge":"No","oa_version":"Preprint","title":"Combining pattern-based CRFs and weighted context-free grammars","publication_status":"published","intvolume":"        26","arxiv":1,"publication":"Intelligent Data Analysis","date_updated":"2023-08-02T14:09:41Z","department":[{"_id":"VlKo"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Takhanov, Rustem","id":"2CCAC26C-F248-11E8-B48F-1D18A9856A87","last_name":"Takhanov","first_name":"Rustem"},{"id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","full_name":"Kolmogorov, Vladimir","first_name":"Vladimir","last_name":"Kolmogorov"}],"oa":1,"volume":26,"issue":"1","day":"14","page":"257-272","quality_controlled":"1","language":[{"iso":"eng"}],"status":"public","month":"01","isi":1,"publisher":"IOS Press","external_id":{"isi":["000749997700015"],"arxiv":["1404.5475"]},"date_published":"2022-01-14T00:00:00Z","type":"journal_article"}]