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We present the first provably sublinear time algorithm for approximate \emph{Maximum Inner Product Search} (MIPS). Our proposal is also the first hashing algorithm for searching with (un-normalized) inner product as the underlying…

Machine Learning · Statistics 2014-05-23 Anshumali Shrivastava , Ping Li

Deep hashing is an effective approach for large-scale image retrieval. Current methods are typically classified by their supervision types: point-wise, pair-wise, and list-wise. Recent point-wise techniques (e.g., CSQ, MDS) have improved…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Li Chen , Rui Liu , Yuxiang Zhou , Xudong Ma , Yong Chen , Dell Zhang

Due to the compelling efficiency in retrieval and storage, similarity-preserving hashing has been widely applied to approximate nearest neighbor search in large-scale image retrieval. However, existing methods have poor performance in…

Multimedia · Computer Science 2020-04-27 Xingbo Liu , Xiushan Nie , Qi Dai , Yupan Huang , Yilong Yin

Can we sense our location in an unfamiliar environment by taking a sublinear-size sample of our surroundings? Can we efficiently encrypt a message that only someone physically close to us can decrypt? To solve this kind of problems, we…

Data Structures and Algorithms · Computer Science 2022-01-11 Elette Boyle , Itai Dinur , Niv Gilboa , Yuval Ishai , Nathan Keller , Ohad Klein

We present the first provable Least-Squares Value Iteration (LSVI) algorithms that have runtime complexity sublinear in the number of actions. We formulate the value function estimation procedure in value iteration as an approximate maximum…

Data Structures and Algorithms · Computer Science 2021-06-09 Anshumali Shrivastava , Zhao Song , Zhaozhuo Xu

The problem of fast items retrieval from a fixed collection is often encountered in most computer science areas, from operating system components to databases and user interfaces. We present an approach based on hash tables that focuses on…

Neural and Evolutionary Computing · Computer Science 2020-07-17 Dan Domnita , Ciprian Oprisa

Most exact methods for k-nearest neighbour search suffer from the curse of dimensionality; that is, their query times exhibit exponential dependence on either the ambient or the intrinsic dimensionality. Dynamic Continuous Indexing (DCI)…

Machine Learning · Computer Science 2017-07-21 Ke Li , Jitendra Malik

A local algorithm is a distributed algorithm where each node must operate solely based on the information that was available at system startup within a constant-size neighbourhood of the node. We study the applicability of local algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-09-09 Patrik Floréen , Petteri Kaski , Topi Musto , Jukka Suomela

Learning from set-structured data is an essential problem with many applications in machine learning and computer vision. This paper focuses on non-parametric and data-independent learning from set-structured data using approximate nearest…

Machine Learning · Computer Science 2022-02-10 Yuzhe Lu , Xinran Liu , Andrea Soltoggio , Soheil Kolouri

Nearest Neighbor(s) search is the fundamental computational primitive to tackle massive dataset. Locality Sensitive Hashing (LSH) has been a bracing tool for Nearest Neighbor(s) search in high dimensional spaces. However, traditional LSH…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Nan Zhu , Wenbo He , Xue Liu , Yu Hua

Search spaces hallmark the advancement of Neural Architecture Search (NAS). Large and complex search spaces with versatile building operators and structures provide more opportunities to brew promising architectures, yet pose severe…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Bhavna Gopal , Arjun Sridhar , Tunhou Zhang , Yiran Chen

Nearest neighbor search is a very active field in machine learning for it appears in many application cases, including classification and object retrieval. In its canonical version, the complexity of the search is linear with both the…

Machine Learning · Computer Science 2017-07-06 Vincent Gripon , Matthias Löwe , Franck Vermet

The facility location problem is widely used for summarizing large datasets and has additional applications in sensor placement, image retrieval, and clustering. One difficulty of this problem is that submodular optimization algorithms…

Machine Learning · Statistics 2017-03-09 Erik M. Lindgren , Shanshan Wu , Alexandros G. Dimakis

Approximate nearest neighbour (ANN) search is an essential component of search engines, recommendation systems, etc. Many recent works focus on learning-based data-distribution-dependent hashing and achieve good retrieval performance.…

Information Retrieval · Computer Science 2023-04-07 Kim Yong Tan , Yueming Lyu , Yew Soon Ong , Ivor W. Tsang

Hashing has been widely used for large-scale approximate nearest neighbor search because of its storage and search efficiency. Recent work has found that deep supervised hashing can significantly outperform non-deep supervised hashing in…

Machine Learning · Computer Science 2017-07-27 Qing-Yuan Jiang , Wu-Jun Li

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

Data Structures and Algorithms · Computer Science 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis

Hashing is an efficient method for nearest neighbor search in large-scale data space by embedding high-dimensional feature descriptors into a similarity preserving Hamming space with a low dimension. However, large-scale high-speed…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Chenggang Yan , Biao Gong , Yuxuan Wei , Yue Gao

We present efficient data structures for approximate nearest neighbor searching and approximate 2-point shortest path queries in a two-dimensional polygonal domain $P$ with $n$ vertices. Our goal is to store a dynamic set of $m$ point sites…

Computational Geometry · Computer Science 2026-03-13 Joost van der Laan , Frank Staals , Lorenzo Theunissen

In recent, deep learning has become the most popular direction in machine learning and artificial intelligence. However, preparation of training data is often a bottleneck in the lifecycle of deploying a deep learning model for production…

Information Retrieval · Computer Science 2020-10-20 Lixi Zhou , Zijie Wang , Amitabh Das , Jia Zou

We show that every symmetric normed space admits an efficient nearest neighbor search data structure with doubly-logarithmic approximation. Specifically, for every $n$, $d = n^{o(1)}$, and every $d$-dimensional symmetric norm $\|\cdot\|$,…

Data Structures and Algorithms · Computer Science 2017-07-25 Alexandr Andoni , Huy L. Nguyen , Aleksandar Nikolov , Ilya Razenshteyn , Erik Waingarten