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Recent retrieval-augmented models enhance basic methods by building a hierarchical structure over retrieved text chunks through recursive embedding, clustering, and summarization. The most relevant information is then retrieved from both…

Computation and Language · Computer Science 2024-10-03 Charbel Chucri , Rami Azouz , Joachim Ott

By defining grids as graphs, geometric graphs can be represented in a very concise way.

Computational Geometry · Computer Science 2012-10-29 Arie Bos

In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from the theories of groups, automata, and inverse semigroups.…

Group Theory · Mathematics 2025-12-08 Luna Elliott , Alex Levine , James D. Mitchell

Clustering is a common technique for statistical data analysis, which is used in many fields, including machine learning, data mining, pattern recognition, image analysis and bioinformatics. Clustering is the process of grouping similar…

Data Structures and Algorithms · Computer Science 2012-05-08 T. Soni Madhulatha

Groups with complex set intersection relations are a natural way to model a wide array of data, from the formation of social groups to the complex protein interactions which form the basis of biological life. One approach to representing…

Machine Learning · Computer Science 2025-01-15 Sepideh Maleki , Josh Vekhter , Keshav Pingali

Despite all its well-known flaws and calls for its dismissal, the notorious $h$-index is still used in many instances when awarding grants, or promoting and hiring scientists. To address this, I set out to devise a better index, with the…

Instrumentation and Methods for Astrophysics · Physics 2022-04-01 Henri M. J. Boffin

Transformer-based entropy models have gained prominence in recent years due to their superior ability to capture long-range dependencies in probability distribution estimation compared to convolution-based methods. However, previous…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Daxin Li , Yuanchao Bai , Kai Wang , Junjun Jiang , Xianming Liu , Wen Gao

With the advent of the big data, graph are processed in an iterative manner, which incrementally described in the form of graph in big data applications. Most currently, graph processing methods treat the underlying map data as black boxes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Beibei Si

A new depth-based clustering procedure for directional data is proposed. Such method is fully non-parametric and has the advantages to be flexible and applicable even in high dimensions when a suitable notion of depth is adopted. The…

Methodology · Statistics 2022-06-22 Giuseppe Pandolfo , Antonio D'ambrosio

A binary operation on any set induces a binary operation on its subsets. We explore families of subsets of a group that become a group under the induced operation and refer to such families as power groups of the given group. Our results…

Efficient discovery of frequent itemsets in large datasets is a crucial task of data mining. In recent years, several approaches have been proposed for generating high utility patterns, they arise the problems of producing a large number of…

Databases · Computer Science 2012-12-04 B. Adinarayana Reddy , O. Srinivasa Rao , M. H. M. Krishna Prasad

Forms are a common type of document in real life and carry rich information through textual contents and the organizational structure. To realize automatic processing of forms, word grouping and relation extraction are two fundamental and…

Computation and Language · Computer Science 2021-05-12 Zilong Wang , Mingjie Zhan , Houxing Ren , Zhaohui Hou , Yuwei Wu , Xingyan Zhang , Ding Liang

Clustering has been widely applied to Information Retrieval (IR) on the grounds of its potential improved effectiveness over inverted file search. Clustering is a mostly unsupervised procedure and the majority of the clustering algorithms…

Information Retrieval · Computer Science 2014-01-14 Pokkuluri Kiran Sree , Inampudi Ramesh Babu

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

This paper proposes a new paradigm and computational framework for identification of correspondences between sub-structures of distinct composite systems. For this, we define and investigate a variant of traditional data clustering, termed…

Machine Learning · Computer Science 2007-05-23 Zvika Marx , Ido Dagan , Joachim Buhmann

Visual elements in an information presentation are often spatially and semantically grouped hierarchically for effective message delivery. Studying the hierarchical grouping information can help researchers and designers better explore…

Human-Computer Interaction · Computer Science 2023-05-18 Danqing Shi , Weiwei Cui , Danqing Huang , Haidong Zhang , Nan Cao

This paper proposes a theoretical framework which models the information provided by retrieval systems in terms of Information Theory. The proposed framework allows to formalize: (i) system effectiveness as an information theoretic…

Information Retrieval · Computer Science 2018-09-17 Enrique Amigó , Fernando Giner , Stefano Mizzaro , Damiano Spina

In a graph, we assign distinct integers to the vertices, and take the sum of two integers if they are on two adjacent vertices. The minimum possible number of different sums is the \emph{sum index} of this graph. In this paper, we present…

Combinatorics · Mathematics 2025-07-29 Dheer Noal Desai , Runze Wang

The design and implementation of efficient concurrent data structures have seen significant attention. However, most of this work has focused on concurrent data structures providing good \emph{worst-case} guarantees. In real workloads,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Vitaly Aksenov , Dan Alistarh , Alexandra Drozdova , Amirkeivan Mohtashami

Document clustering as an unsupervised approach extensively used to navigate, filter, summarize and manage large collection of document repositories like the World Wide Web (WWW). Recently, focuses in this domain shifted from traditional…

Information Retrieval · Computer Science 2012-01-11 Muhammad Rafi , M. Maujood , M. M. Fazal , S. M. Ali
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