title: Optimization and Parallelization of RegEx Based Information Extraction
Creators: name: Doleschal, Johannes
Publisher: name: University of Bayreuth
Year: 2021
Subjects: subject: Information extraction
subject: document spanners
subject: regular document spanners
subject: weighted automata
subject: provenance semirings
subject: 004

description: The framework of document spanners abstracts the task of information extraction from text as a function that maps every document (a string) into a relation over the document’s spans (intervals identified by their start and end indices). For instance, the regular document spanners are the regular expressions with capture variables, closed under the relational algebra. The expressive power of the regular spanners is precisely captured by the class of vset-automata—an extension of finite state automata, that mark the endpoints of selected spans. In this thesis, we embark the investigation of multiple different aspects of document spanners. Namely, parallel evaluation, weight annotation, and aggregation of document spanners. Parallel Evaluation: Programs for extracting structured information from text, namely information extractors, often operate separately on document segments obtained from a generic splitting operation such as sentences, paragraphs, k-grams, HTTP requests, and so on. An automated detection of this behavior of extractors, which we refer to as split-correctness, would allow text analysis systems to devise query plans with parallel evaluation on segments for accelerating the processing of large documents. Other applications include the incremental evaluation on dynamic content, where re-evaluation of information extractors can be restricted to revised segments, and debugging, where developers of information extractors are informed about potential boundary crossing of different semantic components. We propose and study a new formal framework for split-correctness within the formalism of document spanners. Our analysis studies the complexity of split-correctness over regular spanners. We also discuss different variants of split-correctness, for instance, in the presence of black-box extractors with split constraints. Weight Annotation: Concerning weight annotation, we embark on the investigation of document spanners that can annotate extractions with auxiliary information such as confidence, support, and confidentiality measures. To this end, we adopt the abstraction of provenance semirings by Green, Karvounarakis, and Tannen, where tuples of a relation are annotated with the elements of a commutative semiring, and where the annotation propagates through the positive relational Algebra operators via the semiring operators. Hence, the proposed spanner extension, referred to as an annotator, maps every document into an annotated relation over the spans. As a specific instantiation, we explore weighted vset-automata that, similarly to weighted automata and transducers, attach semiring elements to transitions. We investigate key aspects of expressiveness, such as the closure under the positive relational Algebra, and key aspects of computational complexity, such as the enumeration of annotated answers and their ranked enumeration in the case of ordered semirings. For a number of these problems, fundamental properties of the underlying semiring, such as positivity, are crucial for establishing tractability. Aggregation: Lastly we investigate the computational complexity of querying text by aggregate functions — such as sum, average, and quantile — on top of regular document spanners. To this end, we formally define aggregate functions over document spanners and analyze the computational complexity of exact and approximate computation. More precisely, we show that in a restricted case, all studied aggregate functions can be computed in polynomial time. In general, however, even though exact computation is intractable, some aggregates can still be approximated with fully polynomial-time randomized approximation schemes (FPRAS).