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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 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

The development of 3D scanning technology has enabled the acquisition of massive point cloud models with diverse structures and large scales, thereby presenting significant challenges in point cloud processing. Fast neighboring points…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Shurui Wang , Yuhe Zhang , Ruizhe Guo , Yaning Zhang , Yifei Xie , Xinyu Zhou

Bidirectional Long Short-Term Memory (LSTM) is a special kind of Recurrent Neural Network (RNN) architecture which is designed to model sequences and their long-range dependencies more precisely than RNNs. This paper proposes to use deep…

Machine Learning · Computer Science 2020-04-07 Neda Tavakoli

We study lower bounds for Locality Sensitive Hashing (LSH) in the strongest setting: point sets in {0,1}^d under the Hamming distance. Recall that here H is said to be an (r, cr, p, q)-sensitive hash family if all pairs x, y in {0,1}^d with…

Data Structures and Algorithms · Computer Science 2009-12-02 Ryan O'Donnell , Yi Wu , Yuan Zhou

Edit distance similarity search, also called approximate pattern matching, is a fundamental problem with widespread database applications. The goal of the problem is to preprocess $n$ strings of length $d$, to quickly answer queries $q$ of…

Data Structures and Algorithms · Computer Science 2020-07-10 Samuel McCauley

Kernel methods have produced state-of-the-art results for a number of NLP tasks such as relation extraction, but suffer from poor scalability due to the high cost of computing kernel similarities between natural language structures. A…

Computation and Language · Computer Science 2019-05-22 Sahil Garg , Aram Galstyan , Greg Ver Steeg , Irina Rish , Guillermo Cecchi , Shuyang Gao

Relevance Models are well-known retrieval models and capable of producing competitive results. However, because they use query expansion they can be very slow. We address this slowness by incorporating two variants of locality sensitive…

Information Retrieval · Computer Science 2016-07-12 Dominik Wurzer , Miles Osborne , Victor Lavrenko

An important question that arises in the study of high dimensional vector representations learned from data is: given a set $\mathcal{D}$ of vectors and a query $q$, estimate the number of points within a specified distance threshold of…

Data Structures and Algorithms · Computer Science 2018-09-21 Xian Wu , Moses Charikar , Vishnu Natchu

Fast item ranking is an important task in recommender systems. In previous works, graph-based Approximate Nearest Neighbor (ANN) approaches have demonstrated good performance on item ranking tasks with generic searching/matching measures…

Information Retrieval · Computer Science 2022-11-02 Khoa Doan , Shulong Tan , Weijie Zhao , Ping Li

Approximate nearest neighbor search under universal L_p metrics (ANNS-U-L_p) is an important and challenging research problem, as it requires answering queries under all possible p (0<p <= 2) values simultaneously without building an index…

Databases · Computer Science 2026-05-08 Huayi Wang , Jingfan Meng , Jun Xu

Research on nearest-neighbor methods tends to focus somewhat dichotomously either on the statistical or the computational aspects -- either on, say, Bayes consistency and rates of convergence or on techniques for speeding up the proximity…

Statistics Theory · Mathematics 2020-04-17 Klim Efremenko , Aryeh Kontorovich , Moshe Noivirt

We propose a novel hashing-based matching scheme, called Locally Optimized Hashing (LOH), based on a state-of-the-art quantization algorithm that can be used for efficient, large-scale search, recommendation, clustering, and deduplication.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Yannis Kalantidis , Lyndon Kennedy , Huy Nguyen , Clayton Mellina , David A. Shamma

Single Molecule Real-Time (SMRT) sequencing is a recent advancement of Next Gen technology developed by Pacific Bio (PacBio). It comes with an explosion of long and noisy reads demanding cutting edge research to get most out of it. To deal…

Genomics · Quantitative Biology 2019-03-13 Angana Chakraborty , Sanghamitra Bandyopadhyay

With the rapid development of GPU (Graphics Processing Unit) technologies and neural networks, we can explore more appropriate data structures and algorithms. Recent progress shows that neural networks can partly replace traditional data…

Information Retrieval · Computer Science 2023-10-17 Renyang Liu , Jun Zhao , Xing Chu , Yu Liang , Wei Zhou , Jing He

We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an $n$-point data set in a $d$-dimensional space our data structure achieves query time $O(d n^{\rho+o(1)})$ and space $O(n^{1+\rho+o(1)} +…

Data Structures and Algorithms · Computer Science 2015-07-17 Alexandr Andoni , Ilya Razenshteyn

Nearest neighbor search is a problem of finding the data points from the database such that the distances from them to the query point are the smallest. Learning to hash is one of the major solutions to this problem and has been widely…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Jingdong Wang , Ting Zhang , Jingkuan Song , Nicu Sebe , Heng Tao Shen

We give new data-dependent locality sensitive hashing schemes (LSH) for the Earth Mover's Distance ($\mathsf{EMD}$), and as a result, improve the best approximation for nearest neighbor search under $\mathsf{EMD}$ by a quadratic factor.…

Data Structures and Algorithms · Computer Science 2024-03-11 Rajesh Jayaram , Erik Waingarten , Tian Zhang

Given a metric space $(X,d_X)$, $c\ge 1$, $r>0$, and $p,q\in [0,1]$, a distribution over mappings $\h:X\to \mathbb N$ is called a $(r,cr,p,q)$-sensitive hash family if any two points in $X$ at distance at most $r$ are mapped by $\h$ to the…

Computational Geometry · Computer Science 2007-05-23 Rajeev Motwani , Assaf Naor , Rina Panigrahy

Learning to hash is an efficient paradigm for exact and approximate nearest neighbor search from massive databases. Binary hash codes are typically extracted from an image by rounding output features from a CNN, which is trained on a…

Machine Learning · Computer Science 2020-05-12 Heikki Arponen , Tom E. Bishop
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