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A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Kevin McIlhany , Stephen Wiggins

Hierarchical Matrix (H-matrix) is an approximation technique which splits a target dense matrix into multiple submatrices, and where a selected portion of submatrices are low-rank approximated. The technique substantially reduces both time…

Mathematical Software · Computer Science 2019-11-04 Rise Ooi , Takeshi Iwashita , Takeshi Fukaya , Akihiro Ida , Rio Yokota

Modern analytical pipelines routinely deploy multiple deep learning and retrieval models that rely on approximate nearest-neighbor (ANN) indexes to support efficient similarity-based search. While many state-of-the-art ANN-indexes are…

Information Retrieval · Computer Science 2025-07-30 Omar Shahbaz Khan , Gylfi Þór Guðmundsson , Björn Þór Jónsson

Bit arrays, or bitmaps, are used to significantly speed up set operations in several areas, such as data warehousing, information retrieval, and data mining, to cite a few. However, bitmaps usually use a large storage space, thus requiring…

Data Structures and Algorithms · Computer Science 2015-03-14 Alessandro Colantonio , Roberto Di Pietro

How to predict precise user preference and how to make efficient retrieval from a big corpus are two major challenges of large-scale industrial recommender systems. In tree-based methods, a tree structure T is adopted as index and each item…

Information Retrieval · Computer Science 2021-09-23 Daqing Chang , Jintao Liu , Ziru Xu , Han Li , Han Zhu , Xiaoqiang Zhu

Temporal range filtering is critical in large-scale search systems, particularly location-based services filtering businesses by operating hours. Traditional approaches suffer from poor query performance (scope filtering), index size…

Databases · Computer Science 2026-05-26 Jinoh Kim , Jaewon Son

Accurate biodiversity identification from large-scale field data is a foundational problem with direct impact on ecology, conservation, and environmental monitoring. In practice, the core task is taxonomic prediction - inferring order,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Sk Miraj Ahmed , Xi Yu , Yunqi Li , Yuewei Lin , Wei Xu

Vector search plays a crucial role in many real-world applications. In addition to single-vector search, multi-vector search becomes important for multi-modal and multi-feature scenarios today. In a multi-vector database, each row is an…

Databases · Computer Science 2026-05-05 Jiongli Zhu , Yue Wang , Bailu Ding , Philip A. Bernstein , Vivek Narasayya , Surajit Chaudhuri

Indexes are models: a B-Tree-Index can be seen as a model to map a key to the position of a record within a sorted array, a Hash-Index as a model to map a key to a position of a record within an unsorted array, and a BitMap-Index as a model…

Databases · Computer Science 2018-05-01 Tim Kraska , Alex Beutel , Ed H. Chi , Jeffrey Dean , Neoklis Polyzotis

Inverted file structure is a common technique for accelerating dense retrieval. It clusters documents based on their embeddings; during searching, it probes nearby clusters w.r.t. an input query and only evaluates documents within them by…

Information Retrieval · Computer Science 2023-10-18 Peitian Zhang , Zheng Liu , Shitao Xiao , Zhicheng Dou , Jing Yao

Information retrieval with compact binary embeddings, also referred to as hashing, is crucial for scalable fast search applications, yet state-of-the-art hashing methods require expensive, scenario-specific training. In this work, we…

Machine Learning · Computer Science 2026-01-29 Ilyass Moummad , Kawtar Zaher , Lukas Rauch , Alexis Joly

Spatial data is ubiquitous. Massive amounts of data are generated every day from billions of GPS-enabled devices such as cell phones, cars, sensors, and various consumer-based applications such as Uber, Tinder, location-tagged posts in…

Databases · Computer Science 2020-08-25 Varun Pandey , Alexander van Renen , Andreas Kipf , Ibrahim Sabek , Jialin Ding , Alfons Kemper

Tensor network methods provide a scalable solution to represent high-dimensional data. However, their efficacy is often limited by static, expert-defined structures that fail to adapt to evolving data correlations. We address this…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Zheng Guo , Aditya Deshpande , Xinyu Wang , Brian C. Kiedrowski , Alex A. Gorodetsky

Binning is applied to categorize data values or to see distributions of data. Existing binning algorithms often rely on statistical properties of data. However, there are semantic considerations for selecting appropriate binning schemes.…

Human-Computer Interaction · Computer Science 2022-07-19 Vidya Setlur , Michael Correll , Sarah Battersby

The success of neural networks in image classification has inspired various hardware implementations on embedded platforms such as Field Programmable Gate Arrays, embedded processors and Graphical Processing Units. These embedded platforms…

Machine Learning · Computer Science 2020-02-25 Sivakumar Chidambaram , J. M. Pierre Langlois , Jean Pierre David

High-dimensional similarity search underpins modern retrieval systems, yet uniform search strategies fail to exploit the heterogeneous nature of real-world query distributions. We present an adaptive prefiltering framework that leverages…

Information Retrieval · Computer Science 2026-02-27 Teodor-Ioan Calin

An efficient method is described to handle mesh indexes in multidimensional problems like numerical integration of partial differential equations, lattice model simulations, and determination of atomic neighbor lists. By creating an…

Materials Science · Physics 2015-06-24 Jose M. Soler

As an approximate nearest neighbor search technique, hashing has been widely applied in large-scale image retrieval due to its excellent efficiency. Most supervised deep hashing methods have similar loss designs with embedding learning,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Shen Chen , Liujuan Cao , Mingbao Lin , Yan Wang , Xiaoshuai Sun , Chenglin Wu , Jingfei Qiu , Rongrong Ji

Binary hashing is a well-known approach for fast approximate nearest-neighbor search in information retrieval. Much work has focused on affinity-based objective functions involving the hash functions or binary codes. These objective…

Machine Learning · Computer Science 2016-02-05 Miguel Á. Carreira-Perpiñán , Ramin Raziperchikolaei

Constrained coding plays a key role in optimizing performance and mitigating errors in applications such as storage and communication, where specific constraints on codewords are required. While non-parametric constraints have been…

Information Theory · Computer Science 2025-05-05 Daniella Bar-Lev , Michael Shlizerman