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Scalar field comparison is a fundamental task in scientific visualization. In topological data analysis, we compare topological descriptors of scalar fields -- such as persistence diagrams and merge trees -- because they provide succinct…

计算几何 · 计算机科学 2024-09-18 Weiran Lyu , Raghavendra Sridharamurthy , Jeff M. Phillips , Bei Wang

Similarity search based on a distance function in metric spaces is a fundamental problem for many applications. Queries for similar objects lead to the well-known machine learning task of nearest-neighbours identification. Many data…

信息检索 · 计算机科学 2022-08-05 Felipe Ortega , Maria Jesus Algar , Isaac Martín de Diego , Javier M. Moguerza

Many objects are represented as high-dimensional vectors nowadays. In this setting, the relevance between two objects (vectors) is usually evaluated by their inner product. Recently, item-centric searches, which search for users relevant to…

数据库 · 计算机科学 2025-04-21 Daichi Amagata , Kazuyoshi Aoyama , Keito Kido , Sumio Fujita

LSH (locality sensitive hashing) had emerged as a powerful technique in nearest-neighbor search in high dimensions [IM98, HIM12]. Given a point set $P$ in a metric space, and given parameters $r$ and $\varepsilon > 0$, the task is to…

计算几何 · 计算机科学 2017-04-11 Sariel Har-Peled , Sepideh Mahabadi

Similarity search queries in high-dimensional spaces are an important type of queries in many domains such as image processing, machine learning, etc. Since exact similarity search indexing techniques suffer from the well-known curse of…

数据库 · 计算机科学 2019-07-30 Omid Jafari , John Ossorgin , Parth Nagarkar

In this paper, we formulate a top-k query that compares objects in a database to a user-provided query object on a novel scoring function. The proposed scoring function combines the idea of attractive and repulsive dimensions into a general…

数据库 · 计算机科学 2011-12-01 Sayan Ranu , Ambuj K. Singh

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. There are several variants of the similarity search problem, and one of the most relevant is the $r$-near neighbor ($r$-NN) problem:…

数据结构与算法 · 计算机科学 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

This paper reconsiders common benchmarking approaches to nearest neighbor search. It is shown that the concept of local intrinsic dimensionality (LID) allows to choose query sets of a wide range of difficulty for real-world datasets.…

信息检索 · 计算机科学 2019-07-18 Martin Aumüller , Matteo Ceccarello

We consider the problem of rank aggregation based on new distance measures derived through axiomatic approaches and based on score-based methods. In the first scenario, we derive novel distance measures that allow for discriminating between…

组合数学 · 数学 2012-03-30 Farzad Farnoud , Behrouz Touri , Olgica Milenkovic

As data volumes continue to grow, clustering and outlier detection algorithms are becoming increasingly time-consuming. Classical index structures for neighbor search are no longer sustainable due to the "curse of dimensionality". Instead,…

数据库 · 计算机科学 2021-05-12 Li Wang

We propose a new class of data-independent locality-sensitive hashing (LSH) algorithms based on the fruit fly olfactory circuit. The fundamental difference of this approach is that, instead of assigning hashes as dense points in a low…

机器学习 · 计算机科学 2018-12-06 Jaiyam Sharma , Saket Navlakha

Locality sensitive hashing (LSH) is a powerful tool for sublinear-time approximate nearest neighbor search, and a variety of hashing schemes have been proposed for different dissimilarity measures. However, hash codes significantly depend…

This paper presents a hybrid system for intuitive item similarity search that combines a Large Language Model (LLM) with a custom K-Nearest Neighbors (KNN) algorithm. Unlike black-box dense vector systems, this architecture provides…

信息检索 · 计算机科学 2025-09-29 Ana Rodrigues , João Mata , Rui Rego

With the proliferation of spatio-textual data, Top-k KNN spatial keyword queries (TkQs), which return a list of objects based on a ranking function that considers both spatial and textual relevance, have found many real-life applications.…

信息检索 · 计算机科学 2024-11-15 Ziqi Yin , Shanshan Feng , Shang Liu , Gao Cong , Yew Soon Ong , Bin Cui

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. Given a set of points $S$ and a radius parameter $r>0$, the $r$-near neighbor ($r$-NN) problem asks for a data structure that, given…

数据结构与算法 · 计算机科学 2021-01-27 Martin Aumüller , Sariel Har-Peled , Sepideh Mahabadi , Rasmus Pagh , Francesco Silvestri

Similarity searching finds application in a wide variety of domains including multilingual databases, computational biology, pattern recognition and text retrieval. Similarity is measured in terms of a distance function, edit distance, in…

数据库 · 计算机科学 2007-05-23 Girish Motwani , Sandhya G. Nair

An edit distance is a measure of the minimum cost sequence of edit operations to transform one structure into another. Edit distance is most commonly encountered within the context of strings, where Wagner and Fischer's string edit distance…

离散数学 · 计算机科学 2020-05-21 Vincent A. Cicirello

Locality-sensitive hashing (LSH) is a fundamental technique for similarity search and similarity estimation in high-dimensional spaces. The basic idea is that similar objects should produce hash collisions with probability significantly…

计算几何 · 计算机科学 2017-09-25 Joachim Gudmundsson , Rasmus Pagh

The Tabu Search (TS) metaheuristic has been proposed for K-Means clustering as an alternative to Lloyd's algorithm, which for all its ease of implementation and fast runtime, has the major drawback of being trapped at local optima. While…

机器学习 · 计算机科学 2017-03-27 Kojo Sarfo Gyamfi , James Brusey , Andrew Hunt

Finding similar data in high-dimensional spaces is one of the important tasks in multimedia applications. Approaches introduced to find exact searching techniques often use tree-based index structures which are known to suffer from the…

数据库 · 计算机科学 2022-11-17 Omid Jafari , Parth Nagarkar