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Finding the nearest subspace is a fundamental problem and influential to many applications. In particular, a scalable solution that is fast and accurate for a large problem has a great impact. The existing methods for the problem are,…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Masakazu Iwamura , Masataka Konishi , Koichi Kise

Approximate k-Nearest Neighbour (ANN) methods are often used for mining information and aiding machine learning on large scale high-dimensional datasets. ANN methods typically differ in the index structure used for accelerating searches,…

Machine Learning · Computer Science 2025-02-04 Ben Harwood , Amir Dezfouli , Iadine Chades , Conrad Sanderson

We study the k nearest neighbors problem in the plane for general, convex, pairwise disjoint sites of constant description complexity such as line segments, disks, and quadrilaterals and with respect to a general family of distance…

Computational Geometry · Computer Science 2019-10-29 Chih-Hung Liu

Node embedding methods find latent lower-dimensional representations which are used as features in machine learning models. In the last few years, these methods have become extremely popular as a replacement for manual feature engineering.…

Social and Information Networks · Computer Science 2020-06-01 Christoph Martin , Meike Riebeling

Graph-based algorithms have shown great empirical potential for the approximate nearest neighbor (ANN) search problem. Currently, graph-based ANN search algorithms are designed mainly using heuristics, whereas theoretical analysis of such…

Information Retrieval · Computer Science 2021-07-29 Dantong Zhu , Minjia Zhang

Despite the broad range of algorithms for Approximate Nearest Neighbor Search, most empirical evaluations of algorithms have focused on smaller datasets, typically of 1 million points~\citep{Benchmark}. However, deploying recent advances in…

In the $(1+\varepsilon,r)$-approximate near-neighbor problem for curves (ANNC) under some distance measure $\delta$, the goal is to construct a data structure for a given set $\mathcal{C}$ of curves that supports approximate near-neighbor…

Computational Geometry · Computer Science 2022-01-12 Arnold Filtser , Omrit Filtser , Matthew J. Katz

Approximate nearest neighbor (ANN) search in high-dimensional spaces is a foundational component of many modern retrieval and recommendation systems. Currently, almost all algorithms follow an $\epsilon$-Recall-Bounded principle when…

Information Retrieval · Computer Science 2025-11-24 Liming Xiang , Jing Feng , Ziqi Yin , Zijian Li , Daihao Xue , Hongchao Qin , Ronghua Li , Guoren Wang

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

Databases · Computer Science 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen

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

Deep Neural Networks (DNNs) have achieved great success in many applications. The architectures of DNNs play a crucial role in their performance, which is usually manually designed with rich expertise. However, such a design process is…

Neural and Evolutionary Computing · Computer Science 2022-02-07 Yuqiao Liu , Yanan Sun , Bing Xue , Mengjie Zhang , Gary G. Yen , Kay Chen Tan

Filtered approximate nearest neighbor search (FANNS), an extension of approximate nearest neighbor search (ANNS) that incorporates scalar filters, has been widely applied to constrained retrieval of vector data. Despite its growing…

Databases · Computer Science 2025-05-13 Yanjun Lin , Kai Zhang , Zhenying He , Yinan Jing , X. Sean Wang

Johnson-Lindenstrauss embeddings are widely used to reduce the dimension and thus the processing time of data. To reduce the total complexity, also fast algorithms for applying these embeddings are necessary. To date, such fast algorithms…

Data Structures and Algorithms · Computer Science 2020-04-30 Stefan Bamberger , Felix Krahmer

The deployment of Deep Neural Networks (DNNs) on edge devices is hindered by the substantial gap between performance requirements and available processing power. While recent research has made significant strides in developing pruning…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Hamid Mousavi , Mohammad Loni , Mina Alibeigi , Masoud Daneshtalab

The success of deep neural networks relies on significant architecture engineering. Recently neural architecture search (NAS) has emerged as a promise to greatly reduce manual effort in network design by automatically searching for optimal…

Computer Vision and Pattern Recognition · Computer Science 2020-02-26 Ning Wang , Yang Gao , Hao Chen , Peng Wang , Zhi Tian , Chunhua Shen , Yanning Zhang

Deep neural networks (DNNs) based automatic speech recognition (ASR) systems are often designed using expert knowledge and empirical evaluation. In this paper, a range of neural architecture search (NAS) techniques are used to automatically…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-09 Shoukang Hu , Xurong Xie , Shansong Liu , Mingyu Cui , Mengzhe Geng , Xunying Liu , Helen Meng

Evolutionary Neural Architecture Search (ENAS) can automatically design the architectures of Deep Neural Networks (DNNs) using evolutionary computation algorithms. However, most ENAS algorithms require intensive computational resource,…

Machine Learning · Computer Science 2020-09-08 Yanan Sun , Xian Sun , Yuhan Fang , Gary Yen

We present a neural architecture search (NAS) technique to enhance the performance of unsupervised image de-noising, in-painting and super-resolution under the recently proposed Deep Image Prior (DIP). We show that evolutionary search can…

Computer Vision and Pattern Recognition · Computer Science 2020-01-15 Kary Ho , Andrew Gilbert , Hailin Jin , John Collomosse

$k$-Nearest Neighbor search on dense vector embeddings ($k$-NN retrieval) from pre-trained embedding models is the predominant retrieval method for text and images, as well as Retrieval-Augmented Generation (RAG) pipelines. In practice,…

Machine Learning · Computer Science 2024-09-05 Sepanta Zeighami , Zac Wellmer , Aditya Parameswaran

Deep Learning methods, specifically convolutional neural networks (CNNs), have seen a lot of success in the domain of image-based data, where the data offers a clearly structured topology in the regular lattice of pixels. This…

Machine Learning · Statistics 2018-05-31 Thomas Teh , Chaiyawan Auepanwiriyakul , John Alexander Harston , A. Aldo Faisal