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The analyses of many algorithms and data structures (such as digital search trees) for searching and sorting are based on the representation of the keys involved as bit strings and so count the number of bit comparisons. On the other hand,…

Probability · Mathematics 2012-02-14 James Allen Fill , Svante Janson

Data analysis often involves comparing subsets of data across many dimensions for finding unusual trends and patterns. While the comparison between subsets of data can be expressed using SQL, they tend to be complex to write, and suffer…

Databases · Computer Science 2021-07-28 Tarique Siddiqui , Surajit Chaudhuri , Vivek Narasayya

Modern big data applications integrate data from various sources. As a result, these datasets may not satisfy perfect constraints, leading to sparse schema information and non-optimal query performance. The existing approach of PatchIndexes…

Databases · Computer Science 2021-02-15 Steffen Kläbe , Kai-Uwe Sattler , Stephan Baumann

Bitmap indexes are frequently used to index multidimensional data. They rely mostly on sequential input/output. Bitmaps can be compressed to reduce input/output costs and minimize CPU usage. The most efficient compression techniques are…

Databases · Computer Science 2008-08-15 Kamel Aouiche , Daniel Lemire , Owen Kaser

In the analysis of large/big data sets, aggregation (replacing values of a variable over a group by a single value) is a standard way of reducing the size (complexity) of the data. Data analysis programs provide different aggregation…

Machine Learning · Computer Science 2023-03-29 Vladimir Batagelj

Compressed indexing is a powerful technique that enables efficient querying over data stored in compressed form, significantly reducing memory usage and often accelerating computation. While extensive progress has been made for…

Data Structures and Algorithms · Computer Science 2025-10-23 Rajat De , Dominik Kempa

Bitmap indexes must be compressed to reduce input/output costs and minimize CPU usage. To accelerate logical operations (AND, OR, XOR) over bitmaps, we use techniques based on run-length encoding (RLE), such as Word-Aligned Hybrid (WAH)…

Databases · Computer Science 2009-01-19 Owen Kaser , Daniel Lemire , Kamel Aouiche

Efficiently querying data on embedded sensor and IoT devices is challenging given the very limited memory and CPU resources. With the increasing volumes of collected data, it is critical to process, filter, and manipulate data on the edge…

Databases · Computer Science 2023-03-07 David Ding , Ivan Carvalho , Ramon Lawrence

Traditional indexing techniques commonly employed in da\-ta\-ba\-se systems perform poorly on multidimensional array scientific data. Bitmap indices are widely used in commercial databases for processing complex queries, due to their…

Databases · Computer Science 2021-09-01 Luboš Krčál , Shen-Shyang Ho , Jan Holub

Previous compact representations of permutations have focused on adding a small index on top of the plain data $<\pi(1), \pi(2),...\pi(n)>$, in order to efficiently support the application of the inverse or the iterated permutation. In this…

Data Structures and Algorithms · Computer Science 2011-08-23 Jérémy Barbay , Gonzalo Navarro

Rank and select queries on bitmaps are essential building bricks of many compressed data structures, including text indexes, membership and range supporting spatial data structures, compressed graphs, and more. Theoretically considered yet…

Data Structures and Algorithms · Computer Science 2016-05-13 Szymon Grabowski , Marcin Raniszewski

For text retrieval systems, the assumption that all data structures reside in main memory is increasingly common. In this context, we present a novel incremental inverted indexing algorithm for web-scale collections that directly constructs…

Information Retrieval · Computer Science 2013-05-06 Nima Asadi , Jimmy Lin

The increase in the rate of data is much higher than the increase in the speed of computers, which results in a heavy emphasis on search algorithms in research literature. Searching an item in ordered list is an efficient operation in data…

Data Structures and Algorithms · Computer Science 2017-08-04 Adnan Saher Mohammed , Şahin Emrah Amrahov , Fatih V. Çelebi

The ability to handle large scale graph data is crucial to an increasing number of applications. Much work has been dedicated to supporting basic graph operations such as subgraph matching, reachability, regular expression matching, etc. In…

Databases · Computer Science 2012-05-31 Zhao Sun , Hongzhi Wang , Haixun Wang , Bin Shao , Jianzhong Li

In this paper, a new data structure named group-list is proposed. The group-list is as simple as the inverted index. However, the group-list divides document identifiers in an inverted index into groups, which makes it more efficient when…

Data Structures and Algorithms · Computer Science 2019-08-14 Zhi-Hong Deng

Efficient processing of aggregated range queries on two-dimensional grids is a common requirement in information retrieval and data mining systems, for example in Geographic Information Systems and OLAP cubes. We introduce a technique to…

Data Structures and Algorithms · Computer Science 2016-04-01 Nieves R. Brisaboa , Guillermo De Bernardo , Roberto Konow , Gonzalo Navarro , Diego Seco

User profile is widely used in the internet consumer industry, it can be used in recommendation systems for better user experience, or improving Ads system with better conversion rate. Most internet situation we must met large scale data…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-30 Derong Tang , Hank Wang

Range aggregate queries find frequent application in data analytics. In some use cases, approximate results are preferred over accurate results if they can be computed rapidly and satisfy approximation guarantees. Inspired by a recent…

Databases · Computer Science 2021-02-11 Zhe Li , Tsz Nam Chan , Man Lung Yiu , Christian S. Jensen

Compression of inverted lists with methods that support fast intersection operations is an active research topic. Most compression schemes rely on encoding differences between consecutive positions with techniques that favor small numbers.…

Information Retrieval · Computer Science 2009-11-18 Francisco Claude , Antonio Farina , Gonzalo Navarro

We show how full-text search based on inverted indices can be accelerated by clustering the documents without losing results (SeCluD -- SEarch with CLUstered Documents). We develop a fast multilevel clustering algorithm that explicitly uses…

Information Retrieval · Computer Science 2014-11-06 Jonathan Dimond , Peter Sanders