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Related papers: A Bi-metric Framework for Fast Similarity Search

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Many data-based statistical algorithms require that one find \textit{near or nearest neighbors} to a given vector among a set of points in that vector space, usually with Euclidean topology. The k-d data structure and search algorithms are…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Matthew B. Kennel

We introduce Semantic Recall, a novel metric to assess the quality of approximate nearest neighbor search algorithms by considering only semantically relevant objects that are theoretically retrievable via exact nearest neighbor search.…

Information Retrieval · Computer Science 2026-04-23 Leonardo Kuffo , Ioanna Tsakalidou , Roberta De Viti , Albert Angel , Jiří Iša , Rastislav Lenhardt

We study the Approximate Nearest Neighbor problem for metric spaces where the query points are constrained to lie on a subspace of low doubling dimension, while the data is high-dimensional. We show that this problem can be solved…

Computational Geometry · Computer Science 2012-09-19 Sariel Har-Peled , Nirman Kumar

We present a scalable approach for range and $k$ nearest neighbor queries under computationally expensive metrics, like the continuous Fr\'echet distance on trajectory data. Based on clustering for metric indexes, we obtain a dynamic tree…

Computational Geometry · Computer Science 2021-12-14 Joachim Gudmundsson , Michael Horton , John Pfeifer , Martin P. Seybold

The aim of this paper is to propose a geometric framework for modelling similarity search in large and multidimensional data spaces of general nature, which seems to be flexible enough to address such issues as analysis of complexity,…

Information Retrieval · Computer Science 2016-11-17 Vladimir Pestov

The matching distance is a computationally tractable topological measure to compare multi-filtered simplicial complexes. We design efficient algorithms for approximating the matching distance of two bi-filtered complexes to any desired…

Computational Geometry · Computer Science 2020-04-02 Michael Kerber , Arnur Nigmetov

Cross-lingual text representations have gained popularity lately and act as the backbone of many tasks such as unsupervised machine translation and cross-lingual information retrieval, to name a few. However, evaluation of such…

Computation and Language · Computer Science 2021-05-12 Mikhail Fain , Niall Twomey , Danushka Bollegala

While existing social networking services tend to connect people who know each other, people show a desire to also connect to yet unknown people in physical proximity. Existing research shows that people tend to connect to similar people.…

Social and Information Networks · Computer Science 2019-06-10 Felix Beierle

The generation and collection of big data series are becoming an integral part of many emerging applications in sciences, IoT, finance, and web applications among several others. The terabyte-scale of data series has motivated recent…

Databases · Computer Science 2024-04-16 Liang Zhang , Mohamed Y. Eltabakh , Elke A. Rundensteiner , Khalid Alnuaim

Community identification is a long-standing challenge in the modern network science, especially for very large scale networks containing millions of nodes. In this paper, we propose a new metric to quantify the structural similarity between…

Networking and Internet Architecture · Computer Science 2009-05-31 Biao Xiang , En-Hong Chen , Tao Zhou

Image retrieval methods rely on metric learning to train backbone feature extraction models that can extract discriminant queries and reference (gallery) feature representations for similarity matching. Although state-of-the-art accuracy…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Madhu Kiran , Kartikey Vishnu , Rafael M. O. Cruz , Eric Granger

In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we look at the graph obtained by connecting every pair of points…

Data Structures and Algorithms · Computer Science 2010-05-05 Rina Panigrahy , Kunal Talwar , Udi Wieder

Similarity learning has been recognized as a crucial step for object tracking. However, existing multiple object tracking methods only use sparse ground truth matching as the training objective, while ignoring the majority of the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Tobias Fischer , Thomas E. Huang , Jiangmiao Pang , Linlu Qiu , Haofeng Chen , Trevor Darrell , Fisher Yu

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

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…

Databases · Computer Science 2007-05-23 Girish Motwani , Sandhya G. Nair

This paper introduces a new (dis)similarity measure for 2D arrays, extending the Average Common Submatrix measure. This is accomplished by: (i) considering the frequency of matching patterns, (ii) restricting the pattern matching to a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Alessia Amelio , Darko Brodić

We introduce a framework for automatically choosing data structures to support efficient computation of analytical workloads. Our contributions are twofold. First, we introduce a novel low-level intermediate language that can express the…

Databases · Computer Science 2021-12-28 Amir Shaikhha , Marios Kelepeshis , Mahdi Ghorbani

Weighted Hamming distance, as a similarity measure between binary codes and binary queries, provides superior accuracy in search tasks than Hamming distance. However, how to efficiently and accurately find $K$ binary codes that have the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-11 Zhenyu Weng , Yuesheng Zhu , Ruixin Liu

This paper proposes an introspective deep metric learning (IDML) framework for uncertainty-aware comparisons of images. Conventional deep metric learning methods produce confident semantic distances between images regardless of the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Wenzhao Zheng , Chengkun Wang , Jie Zhou , Jiwen Lu

We develop methods for accelerating metric similarity search that are effective on modern hardware. Our algorithms factor into easily parallelizable components, making them simple to deploy and efficient on multicore CPUs and GPUs. Despite…

Databases · Computer Science 2016-11-15 Lawrence Cayton