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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

Geometric data structures have been extensively studied in the regime where the dimension is much smaller than the number of input points. But in many scenarios in Machine Learning, the dimension can be much higher than the number of points…

Data Structures and Algorithms · Computer Science 2025-04-07 Martin G. Herold , Danupon Nanongkai , Joachim Spoerhase , Nithin Varma , Zihang Wu

Our aim is to develop dynamic data structures that support $k$-nearest neighbors ($k$-NN) queries for a set of $n$ point sites in the plane in $O(f(n) + k)$ time, where $f(n)$ is some polylogarithmic function of $n$. The key component is a…

Computational Geometry · Computer Science 2022-12-02 Sarita de Berg , Frank Staals

High-performance implementations of $k$-Nearest Neighbor Search ($k$NN) in low dimensions use tree-based data structures. Tree algorithms are hard to parallelize on GPUs due to their irregularity. However, newer Nvidia GPUs offer hardware…

Graphics · Computer Science 2024-04-23 Durga Mandarapu , Vani Nagarajan , Artem Pelenitsyn , Milind Kulkarni

The nearest neighbor (NN) technique is very simple, highly efficient and effective in the field of pattern recognition, text categorization, object recognition etc. Its simplicity is its main advantage, but the disadvantages can't be…

Computer Vision and Pattern Recognition · Computer Science 2010-07-02 Nitin Bhatia , Vandana

Greedy-NMS inherently raises a dilemma, where a lower NMS threshold will potentially lead to a lower recall rate and a higher threshold introduces more false positives. This problem is more severe in pedestrian detection because the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Penghao Zhou , Chong Zhou , Pai Peng , Junlong Du , Xing Sun , Xiaowei Guo , Feiyue Huang

Finding similar data in high-dimensional spaces is one of the important tasks in multimedia applications. Approaches introduced to find exact searching techniques often use tree-based index structures which are known to suffer from the…

Databases · Computer Science 2022-11-17 Omid Jafari , Parth Nagarkar

Similarity search in high-dimensional spaces is an important task for many multimedia applications. Due to the notorious curse of dimensionality, approximate nearest neighbor techniques are preferred over exact searching techniques since…

Databases · Computer Science 2020-10-16 Omid Jafari , Parth Nagarkar , Jonathan Montaño

Fast Nearest Neighbor (NN) search is a fundamental challenge in large-scale data processing and analytics, particularly for analyzing multimedia contents which are often of high dimensionality. Instead of using exact NN search, extensive…

Information Retrieval · Computer Science 2016-05-19 Ji Wan , Sheng Tang , Yongdong Zhang , Jintao Li , Pengcheng Wu , Steven C. H. Hoi

Locality-sensitive hashing (LSH) is an important tool for managing high-dimensional noisy or uncertain data, for example in connection with data cleaning (similarity join) and noise-robust search (similarity search). However, for a number…

Data Structures and Algorithms · Computer Science 2018-04-18 Martin Aumüller , Tobias Christiani , Rasmus Pagh , Francesco Silvestri

Nearest Neighbors Algorithm is a Lazy Learning Algorithm, in which the algorithm tries to approximate the predictions with the help of similar existing vectors in the training dataset. The predictions made by the K-Nearest Neighbors…

Machine Learning · Computer Science 2018-11-14 Chandrasekaran Anirudh Bhardwaj , Megha Mishra , Kalyani Desikan

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

We show that approximate similarity (near neighbour) search can be solved in high dimensions with performance matching state of the art (data independent) Locality Sensitive Hashing, but with a guarantee of no false negatives. Specifically,…

Data Structures and Algorithms · Computer Science 2018-06-28 Thomas Dybdahl Ahle

The use of automatic methods, often referred to as Neural Architecture Search (NAS), in designing neural network architectures has recently drawn considerable attention. In this work, we present an efficient NAS approach, named HM- NAS,…

Machine Learning · Computer Science 2019-09-10 Shen Yan , Biyi Fang , Faen Zhang , Yu Zheng , Xiao Zeng , Hui Xu , Mi Zhang

LSH (locality sensitive hashing) had emerged as a powerful technique in nearest-neighbor search in high dimensions [IM98, HIM12]. Given a point set $P$ in a metric space, and given parameters $r$ and $\varepsilon > 0$, the task is to…

Computational Geometry · Computer Science 2017-04-11 Sariel Har-Peled , Sepideh Mahabadi

The problem of nearest-neighbor (NN) condensation aims to reduce the size of a training set of a nearest-neighbor classifier while maintaining its classification accuracy. Although many condensation techniques have been proposed, few bounds…

Computational Geometry · Computer Science 2019-04-30 Alejandro Flores-Velazco , David Mount

In this technical note, we introduce and analyze AWNN: an adaptively weighted nearest neighbor method for performing matrix completion. Nearest neighbor (NN) methods are widely used in missing data problems across multiple disciplines such…

Machine Learning · Statistics 2025-05-15 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi

This paper studies a strategy for data-driven algorithm design for large-scale combinatorial optimization problems that can leverage existing state-of-the-art solvers in general purpose ways. The goal is to arrive at new approaches that can…

Optimization and Control · Mathematics 2020-12-24 Jialin Song , Ravi Lanka , Yisong Yue , Bistra Dilkina

Existing systems dealing with the increasing volume of data series cannot guarantee interactive response times, even for fundamental tasks such as similarity search. Therefore, it is necessary to develop analytic approaches that support…

Databases · Computer Science 2022-12-29 Karima Echihabi , Theophanis Tsandilas , Anna Gogolou , Anastasia Bezerianos , Themis Palpanas

In many modern data sets, High dimension low sample size (HDLSS) data is prevalent in many fields of studies. There has been an increased focus recently on using machine learning and statistical methods to mine valuable information out of…

Optimization and Control · Mathematics 2023-05-23 Srivathsan Amruth , Xin Yee Lam