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Demands for minimum parameter setup in machine learning models are desirable to avoid time-consuming optimization processes. The $k$-Nearest Neighbors is one of the most effective and straightforward models employed in numerous problems.…

机器学习 · 计算机科学 2022-10-03 Danilo Samuel Jodas , Leandro Aparecido Passos , Ahsan Adeel , João Paulo Papa

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

数据结构与算法 · 计算机科学 2017-04-07 Ke Li , Jitendra Malik

We present a novel hashing strategy for approximate furthest neighbor search that selects projection bases using the data distribution. This strategy leads to an algorithm, which we call DrusillaHash, that is able to outperform existing…

数据结构与算法 · 计算机科学 2016-06-01 Ryan R. Curtin , Andrew B. Gardner

Near neighbor search (NNS) is a powerful abstraction for data access; however, data indexing is troublesome even for approximate indexes. For intrinsically high-dimensional data, high-quality fast searches demand either indexes with…

数据结构与算法 · 计算机科学 2021-06-30 Eric S. Tellez , Guillermo Ruiz , Edgar Chavez , Mario Graff

We present a new algorithm for the approximate near neighbor problem that combines classical ideas from group testing with locality-sensitive hashing (LSH). We reduce the near neighbor search problem to a group testing problem by…

数据结构与算法 · 计算机科学 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

Filtered approximate nearest neighbor search (ANNS) restricts the search to data objects whose attributes satisfy a given filter and retrieves the top-$K$ objects that are most semantically similar to the query object. Many graph-based ANNS…

数据库 · 计算机科学 2025-11-04 Tianming Wu , Dixin Tang

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

计算机视觉与模式识别 · 计算机科学 2019-06-20 Deng Cai

We study the problem of approximating Hamming distance in sublinear time under property-preserving hashing (PPH), where only hashed representations of inputs are available. Building on the threshold evaluation framework of Fleischhacker,…

计算复杂性 · 计算机科学 2025-03-25 Dongfang Zhao

Approximate nearest neighbor algorithms are used to speed up nearest neighbor search in a wide array of applications. However, current indexing methods feature several hyperparameters that need to be tuned to reach an acceptable…

数据结构与算法 · 计算机科学 2019-04-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

For a given dataset $\mathcal{D}$ and structured label $f$, the goal of Filtered Approximate Nearest Neighbor Search (FANNS) algorithms is to find top-$k$ points closest to a query that satisfy label constraints, while ensuring both recall…

数据库 · 计算机科学 2025-09-10 Jiayang Shi , Yuzheng Cai , Weiguo Zheng

We study the Approximate Nearest Neighbor (ANN) problem under a powerful adaptive adversary that controls both the dataset and a sequence of $Q$ queries. Primarily, for the high-dimensional regime of $d = \omega(\sqrt{Q})$, we introduce a…

数据结构与算法 · 计算机科学 2026-01-05 Alexandr Andoni , Themistoklis Haris , Esty Kelman , Krzysztof Onak

The $c$-approximate Near Neighbor problem in high dimensional spaces has been mainly addressed by Locality Sensitive Hashing (LSH), which offers polynomial dependence on the dimension, query time sublinear in the size of the dataset, and…

计算几何 · 计算机科学 2016-12-23 Georgia Avarikioti , Ioannis Z. Emiris , Ioannis Psarros , Georgios Samaras

We introduce a new variant of the nearest neighbor search problem, which allows for some coordinates of the dataset to be arbitrarily corrupted or unknown. Formally, given a dataset of $n$ points $P=\{ x_1,\ldots, x_n\}$ in high-dimensions,…

计算几何 · 计算机科学 2015-11-24 Sariel Har-Peled , Sepideh Mahabadi

This paper introduces "Multi-Level Spherical LSH": parameter-free, a multi-level, data-dependant Locality Sensitive Hashing data structure for solving the Approximate Near Neighbors Problem (ANN). This data structure uses a modified version…

数据结构与算法 · 计算机科学 2017-09-19 Teresa Nicole Brooks , Rania Almajalid

In the realm of machine learning, the KNN classification algorithm is widely recognized for its simplicity and efficiency. However, its sensitivity to the K value poses challenges, especially with small sample sizes or outliers, impacting…

机器学习 · 计算机科学 2024-05-29 Junzhuo Chen , Zhixin Lu , Shitong Kang

In this paper we propose an algorithm for the approximate k-Nearest-Neighbors problem. According to the existing researches, there are two kinds of approximation criterion. One is the distance criteria, and the other is the recall criteria.…

计算几何 · 计算机科学 2020-08-10 Hengzhao Ma , Jianzhong Li

Probabilistic k-nearest neighbour (PKNN) classification has been introduced to improve the performance of original k-nearest neighbour (KNN) classification algorithm by explicitly modelling uncertainty in the classification of each feature…

机器学习 · 计算机科学 2013-05-07 Ji Won Yoon , Nial Friel

The use of a policy and a heuristic function for guiding search can be quite effective in adversarial problems, as demonstrated by AlphaGo and its successors, which are based on the PUCT search algorithm. While PUCT can also be used to…

人工智能 · 计算机科学 2021-03-23 Laurent Orseau , Levi H. S. Lelis

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)} +…

数据结构与算法 · 计算机科学 2015-07-17 Alexandr Andoni , Ilya Razenshteyn

There is growing interest in representing image data and feature descriptors using compact binary codes for fast near neighbor search. Although binary codes are motivated by their use as direct indices (addresses) into a hash table, codes…

计算机视觉与模式识别 · 计算机科学 2014-04-28 Mohammad Norouzi , Ali Punjani , David J. Fleet
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