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The $k$-nearest neighbor graph (KNNG) on high-dimensional data is a data structure widely used in many applications such as similarity search, dimension reduction and clustering. Due to its increasing popularity, several methods under the…

Data Structures and Algorithms · Computer Science 2021-12-07 Liu Yingfan , Cheng Hong , Cui Jiangtao

Nearest neighbors is a successful and long-standing technique for anomaly detection. Significant progress has been recently achieved by self-supervised deep methods (e.g. RotNet). Self-supervised features however typically under-perform…

Machine Learning · Computer Science 2020-02-25 Liron Bergman , Niv Cohen , Yedid Hoshen

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

Large Language Models (LLMs) have demonstrated remarkable human-level natural language generation capabilities. However, their potential to generate misinformation, often called the hallucination problem, poses a significant risk to their…

Computation and Language · Computer Science 2023-10-16 Sehyun Choi , Tianqing Fang , Zhaowei Wang , Yangqiu Song

While the problem of hallucinations in neural machine translation has long been recognized, so far the progress on its alleviation is very little. Indeed, recently it turned out that without artificially encouraging models to hallucinate,…

Computation and Language · Computer Science 2022-12-21 David Dale , Elena Voita , Loïc Barrault , Marta R. Costa-jussà

This paper presents a novel nearest neighbor search algorithm achieving TPU (Google Tensor Processing Unit) peak performance, outperforming state-of-the-art GPU algorithms with similar level of recall. The design of the proposed algorithm…

Performance · Computer Science 2022-07-01 Felix Chern , Blake Hechtman , Andy Davis , Ruiqi Guo , David Majnemer , Sanjiv Kumar

Dialogue systems powered by large pre-trained language models (LM) exhibit an innate ability to deliver fluent and natural-looking responses. Despite their impressive generation performance, these models can often generate factually…

Computation and Language · Computer Science 2021-09-15 Nouha Dziri , Andrea Madotto , Osmar Zaiane , Avishek Joey Bose

We present a new approach to approximate nearest-neighbor queries in fixed dimension under a variety of non-Euclidean distances. We are given a set $S$ of $n$ points in $\mathbb{R}^d$, an approximation parameter $\varepsilon > 0$, and a…

Computational Geometry · Computer Science 2023-06-28 Ahmed Abdelkader , Sunil Arya , Guilherme D. da Fonseca , David M. Mount

This paper explores a novel approach aimed at overcoming existing challenges in the realm of local search algorithms. Our aim is to improve the decision process that takes place within a local search algorithm so as to make the best…

Neural and Evolutionary Computing · Computer Science 2025-03-13 Mohamed Salim Amri Sakhri , Adrien Goëffon , Olivier Goudet , Frédéric Saubion , Chaïmaâ Touhami

K-Nearest Neighbors (KNN) search is a fundamental algorithm in artificial intelligence software with applications in robotics, and autonomous vehicles. These wide-ranging applications utilize KNN either directly for simple classification or…

Software Engineering · Computer Science 2021-06-08 Aryan Naim , Joseph Bowkett , Sisir Karumanchi , Peyman Tavallali , Brett Kennedy

Graph-based approaches are empirically shown to be very successful for the nearest neighbor search (NNS). However, there has been very little research on their theoretical guarantees. We fill this gap and rigorously analyze the performance…

Data Structures and Algorithms · Computer Science 2020-08-21 Liudmila Prokhorenkova , Aleksandr Shekhovtsov

We present a new approach for the approximate K-nearest neighbor search based on navigable small world graphs with controllable hierarchy (Hierarchical NSW, HNSW). The proposed solution is fully graph-based, without any need for additional…

Data Structures and Algorithms · Computer Science 2018-08-16 Yu. A. Malkov , D. A. Yashunin

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…

Data Structures and Algorithms · Computer Science 2016-06-01 Ryan R. Curtin , Andrew B. Gardner

The k-d tree is a classic binary space-partitioning tree used to organize points in k-dimensional space. While used in computational geometry and graphics, the data structure has a long history of application in nearest neighbor search. The…

Logic in Computer Science · Computer Science 2023-11-21 Nadeem Abdul Hamid

Motivated by applications in computer vision and databases, we introduce and study the Simultaneous Nearest Neighbor Search (SNN) problem. Given a set of data points, the goal of SNN is to design a data structure that, given a collection of…

Data Structures and Algorithms · Computer Science 2016-04-11 Piotr Indyk , Robert Kleinberg , Sepideh Mahabadi , Yang Yuan

We consider the problem of finding high dimensional approximate nearest neighbors. Suppose there are d independent rare features, each having its own independent statistics. A point x will have x_{i}=0 denote the absence of feature i, and…

Information Theory · Computer Science 2008-10-24 Moshe Dubiner

Neural networks successfully capture the computational power of the human brain for many tasks. Similarly inspired by the brain architecture, Nearest Neighbor (NN) representations is a novel approach of computation. We establish a firmer…

Computational Complexity · Computer Science 2024-05-13 Kordag Mehmet Kilic , Jin Sima , Jehoshua Bruck

The k-d tree was one of the first spatial data structures proposed for nearest neighbor search. Its efficacy is diminished in high-dimensional spaces, but several variants, with randomization and overlapping cells, have proved to be…

Data Structures and Algorithms · Computer Science 2013-02-11 Sanjoy Dasgupta , Kaushik Sinha

The A* algorithm is commonly used to solve NP-hard combinatorial optimization problems. When provided with a completely informed heuristic function, A* solves many NP-hard minimum-cost path problems in time polynomial in the branching…

Artificial Intelligence · Computer Science 2022-12-09 Sumedh Pendurkar , Taoan Huang , Sven Koenig , Guni Sharon

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…

Machine Learning · Computer Science 2013-05-07 Ji Won Yoon , Nial Friel