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This paper discusses a few algorithms for updating the approximate Singular Value Decomposition (SVD) in the context of information retrieval by Latent Semantic Indexing (LSI) methods. A unifying framework is considered which is based on…

Numerical Analysis · Mathematics 2014-05-14 Eugene Vecharynski , Yousef Saad

Dense embedding models are commonly deployed in commercial search engines, wherein all the document vectors are pre-computed, and near-neighbor search (NNS) is performed with the query vector to find relevant documents. However, the…

Machine Learning · Computer Science 2020-09-01 Tharun Medini , Beidi Chen , Anshumali Shrivastava

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

An improved version of the sparse multiway kernel spectral clustering (KSC) is presented in this brief. The original algorithm is derived from weighted kernel principal component (KPCA) analysis formulated within the primal-dual…

Machine Learning · Computer Science 2023-10-23 Mihaly Novak , Rocco Langone , Carlos Alzate , Johan Suykens

Cross-encoder (CE) models which compute similarity by jointly encoding a query-item pair perform better than embedding-based models (dual-encoders) at estimating query-item relevance. Existing approaches perform k-NN search with CE by…

Information Retrieval · Computer Science 2024-05-07 Nishant Yadav , Nicholas Monath , Manzil Zaheer , Rob Fergus , Andrew McCallum

This paper studies the problem of data-adaptive representations for big, distributed data. It is assumed that a number of geographically-distributed, interconnected sites have massive local data and they are interested in collaboratively…

Machine Learning · Computer Science 2018-03-06 Haroon Raja , Waheed U. Bajwa

Dimensionality reduction (DR) of image features plays an important role in image retrieval and classification tasks. Recently, two types of methods have been proposed to improve the both the accuracy and efficiency for the dimensionality…

Computer Vision and Pattern Recognition · Computer Science 2013-04-10 Yao Nan , Qian Feng , Sun Zuolei

Tensor network (TN) representation is a powerful technique for computer vision and machine learning. TN structure search (TN-SS) aims to search for a customized structure to achieve a compact representation, which is a challenging NP-hard…

Machine Learning · Computer Science 2024-04-15 Yu-Bang Zheng , Xi-Le Zhao , Junhua Zeng , Chao Li , Qibin Zhao , Heng-Chao Li , Ting-Zhu Huang

Approximate Nearest Neighbor Search (ANNS) is a fundamental operation in vector databases, enabling efficient similarity search in high-dimensional spaces. While dense ANNS has been optimized using specialized hardware accelerators, sparse…

Databases · Computer Science 2026-01-07 Tianqi Zhang , Flavio Ponzina , Tajana Rosing

The task of compressing pre-trained Deep Neural Networks has attracted wide interest of the research community due to its great benefits in freeing practitioners from data access requirements. In this domain, low-rank approximation is a…

Machine Learning · Computer Science 2022-08-23 Zhewen Yu , Christos-Savvas Bouganis

We show how to approximate a data matrix $\mathbf{A}$ with a much smaller sketch $\mathbf{\tilde A}$ that can be used to solve a general class of constrained k-rank approximation problems to within $(1+\epsilon)$ error. Importantly, this…

Data Structures and Algorithms · Computer Science 2015-04-06 Michael B. Cohen , Sam Elder , Cameron Musco , Christopher Musco , Madalina Persu

Similarity search finds objects that are similar to a given query object based on a similarity metric. As the amount and variety of data continue to grow, similarity search in metric spaces has gained significant attention. Metric spaces…

Databases · Computer Science 2024-10-08 Yifan Zhu , Chengyang Luo , Tang Qian , Lu Chen , Yunjun Gao , Baihua Zheng

Subspace clustering (SC) aims to cluster data lying in a union of low-dimensional subspaces. Usually, SC learns an affinity matrix and then performs spectral clustering. Both steps suffer from high time and space complexity, which leads to…

Machine Learning · Computer Science 2021-06-01 Jicong Fan

We study the problem of visualizing large-scale and high-dimensional data in a low-dimensional (typically 2D or 3D) space. Much success has been reported recently by techniques that first compute a similarity structure of the data points…

Machine Learning · Computer Science 2016-04-06 Jian Tang , Jingzhou Liu , Ming Zhang , Qiaozhu Mei

This work focuses on the definition and study of the n-dimensional k-vector, an algorithm devised to perform orthogonal range searching in static databases with multiple dimensions. The methodology first finds the order in which to search…

Data Structures and Algorithms · Computer Science 2020-04-07 David Arnas , Carl Leake , Daniele Mortari

Learned dense representations are a popular family of techniques for encoding queries and documents using high-dimensional embeddings, which enable retrieval by performing approximate k nearest-neighbors search (A-kNN). A popular technique…

Information Retrieval · Computer Science 2024-08-12 Francesco Busolin , Claudio Lucchese , Franco Maria Nardini , Salvatore Orlando , Raffaele Perego , Salvatore Trani

Keyword-based web queries with local intent retrieve web content that is relevant to supplied keywords and that represent points of interest that are near the query location. Two broad categories of such queries exist. The first encompasses…

Databases · Computer Science 2016-08-01 Dingming Wu , Christian S. Jensen

Aggregating different image features for image retrieval has recently shown its effectiveness. While highly effective, though, the question of how to uplift the impact of the best features for a specific query image persists as an open…

Computer Vision and Pattern Recognition · Computer Science 2018-08-16 Leulseged Tesfaye Alemu , Marcello Pelillo

We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting method against two alternative splitting methods. The first, called the sliding-midpoint…

Computational Geometry · Computer Science 2007-05-23 Songrit Maneewongvatana , David M. Mount

This paper proposes the SVDNet for retrieval problems, with focus on the application of person re-identification (re-ID). We view each weight vector within a fully connected (FC) layer in a convolutional neuron network (CNN) as a projection…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Yifan Sun , Liang Zheng , Weijian Deng , Shengjin Wang