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Detecting all the strings that occur in a text more frequently or less frequently than expected according to an IID or a Markov model is a basic problem in string mining, yet current algorithms are based on data structures that are either…

Data Structures and Algorithms · Computer Science 2015-08-13 Djamal Belazzougui , Fabio Cunial

The proliferation of data and text documents such as articles, web pages, books, social network posts, etc. on the Internet has created a fundamental challenge in various fields of text processing under the title of "automatic text…

Artificial Intelligence · Computer Science 2023-03-15 Kazem Taghandiki , Mohammad Hassan Ahmadi , Elnaz Rezaei Ehsan

Creating challenging tabular inference data is essential for learning complex reasoning. Prior work has mostly relied on two data generation strategies. The first is human annotation, which yields linguistically diverse data but is…

Computation and Language · Computer Science 2022-11-24 Aashna Jena , Vivek Gupta , Manish Shrivastava , Julian Martin Eisenschlos

Algorithms for convex feasibility find or approximate a point in the intersection of given closed convex sets. Typically there are only finitely many convex sets, but the case of infinitely many convex sets also has some applications. In…

Optimization and Control · Mathematics 2019-05-22 T. Yung Kong , Homeira Pajoohesh , Gabor T. Herman

With the rising quantity of textual data available in electronic format, the need to organize it become a highly challenging task. In the present paper, we explore a document organization framework that exploits an intelligent hierarchical…

Information Retrieval · Computer Science 2015-04-02 Rajendra Kumar Roul , Shubham Rohan Asthana , Sanjay Kumar Sahay

Large Language Models (LLMs) face significant limitations when applied to large-scale graphs, struggling with context constraints and inflexible reasoning. We present GraphChain, a framework that enables LLMs to analyze complex graphs…

Artificial Intelligence · Computer Science 2025-11-11 Chunyu Wei , Wenji Hu , Xingjia Hao , Xin Wang , Yifan Yang , Yueguo Chen , Yang Tian , Yunhai Wang

Indexing of static and dynamic sets is fundamental to a large set of applications such as information retrieval and caching. Denoting the characteristic vector of the set by B, we consider the problem of encoding sets and multisets to…

Data Structures and Algorithms · Computer Science 2018-09-17 Ran Ben Basat , Seungbum Jo , Srinivasa Rao Satti , Shubham Ugare

The longest common prefix (LCP) array is a versatile auxiliary data structure in indexed string matching. It can be used to speed up searching using the suffix array (SA) and provides an implicit representation of the topology of an…

Data Structures and Algorithms · Computer Science 2016-03-09 German Tischler

The SMT (Satisfiability Modulo Theories) theory of arrays is well-established and widely used, with variousdecision procedures and extensions developed for it. However, recent works suggest that developing tailoredreasoning for some…

Logic in Computer Science · Computer Science 2024-11-13 Hichem Rami Ait El Hara , François Bobot , Guillaume Bury

This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored in a trie whose nodes are in bijection with the faces of the…

Computational Geometry · Computer Science 2020-01-09 Jean-Daniel Boissonnat , Clément Maria

Large tree structures are ubiquitous and real-world relational datasets often have information associated with nodes (e.g., labels or other attributes) and edges (e.g., weights or distances) that need to be communicated to the viewers. Yet,…

Computational Geometry · Computer Science 2023-05-18 Kathryn Gray , Mingwei Li , Reyan Ahmed , Md. Khaledur Rahman , Ariful Azad , Stephen Kobourov , Katy Börner

We compare different methods for sampling from discrete probability distributions and introduce a new algorithm which is especially efficient on massively parallel processors, such as GPUs. The scheme preserves the distribution properties…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Nikolaus Binder , Alexander Keller

Structured data, rich in logical and relational information, has the potential to enhance the reasoning abilities of large language models (LLMs). Still, its integration poses a challenge due to the risk of overwhelming LLMs with excessive…

Computation and Language · Computer Science 2024-07-18 Xiaoyu Tan , Haoyu Wang , Xihe Qiu , Yuan Cheng , Yinghui Xu , Wei Chu , Yuan Qi

The time series classification literature has expanded rapidly over the last decade, with many new classification approaches published each year. The research focus has mostly been on improving the accuracy and efficiency of classifiers,…

Machine Learning · Computer Science 2018-08-14 Thach Le Nguyen , Severin Gsponer , Iulia Ilie , Georgiana Ifrim

Strings are ubiquitous in code. Not all strings are created equal, some contain structure that makes them incompatible with other strings. CSS units are an obvious example. Worse, type checkers cannot see this structure: this is the latent…

Programming Languages · Computer Science 2019-04-26 David Kelly , Mark Marron , David Clark , Earl T. Barr

Contour trees offer an abstract representation of the level set topology in scalar fields and are widely used in topological data analysis and visualization. However, applying contour trees to large-scale scientific datasets remains…

Computational Geometry · Computer Science 2025-08-13 Mingzhe Li , Hamish Carr , Oliver Rübel , Bei Wang , Gunther H. Weber

In this paper, proximity full-text searches in large text arrays are considered. A search query consists of several words. The search result is a list of documents containing these words. In a modern search system, documents that contain…

Information Retrieval · Computer Science 2020-06-28 Alexander B. Veretennikov

The ability to cheaply train text classifiers is critical to their use in information retrieval, content analysis, natural language processing, and other tasks involving data which is partly or fully textual. An algorithm for sequential…

cmp-lg · Computer Science 2008-02-03 David D. Lewis , William A. Gale

Large scale graph processing is a major research area for Big Data exploration. Vertex centric programming models like Pregel are gaining traction due to their simple abstraction that allows for scalable execution on distributed systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-10 Yogesh Simmhan , Alok Kumbhare , Charith Wickramaarachchi , Soonil Nagarkar , Santosh Ravi , Cauligi Raghavendra , Viktor Prasanna

Many disciplines of science and engineering deal with problems related to compositions, ranging from chemical compositions in materials science to portfolio compositions in economics. They exist in non-Euclidean simplex spaces, causing many…

Materials Science · Physics 2024-11-06 Adam M. Krajewski , Allison M. Beese , Wesley F. Reinhart , Zi-Kui Liu