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Analyzing high-dimensional data with manifold learning algorithms often requires searching for the nearest neighbors of all observations. This presents a computational bottleneck in statistical manifold learning when observations of…

Machine Learning · Computer Science 2022-03-11 Fan Cheng , Anastasios Panagiotelis , Rob J Hyndman

In recent years, deep metric learning has achieved promising results in learning high dimensional semantic feature embeddings where the spatial relationships of the feature vectors match the visual similarities of the images. Similarity…

Machine Learning · Computer Science 2019-09-25 Konstantin Schall , Kai Uwe Barthel , Nico Hezel , Klaus Jung

Histopathology digital scans are large-size images that contain valuable information at the pixel level. Content-based comparison of these images is a challenging task. This study proposes a content-based similarity measure for…

Image and Video Processing · Electrical Eng. & Systems 2021-07-30 Mehdi Afshari , H. R. Tizhoosh

We survey permutation-based methods for approximate k-nearest neighbor search. In these methods, every data point is represented by a ranked list of pivots sorted by the distance to this point. Such ranked lists are called permutations. The…

Machine Learning · Computer Science 2016-11-01 Bilegsaikhan Naidan , Leonid Boytsov , Eric Nyberg

Symmetry plays a major role in subgraph matching both in the description of the graphs in question and in how it confounds the search process. This work addresses how to quantify these effects and how to use symmetries to increase the…

Data Structures and Algorithms · Computer Science 2023-01-10 Dominic Yang , Yurun Ge , Thien Nguyen , Jacob Moorman , Denali Molitor , Andrea Bertozzi

Detecting clusters or communities in large real-world graphs such as large social or information networks is a problem of considerable interest. In practice, one typically chooses an objective function that captures the intuition of a…

Data Structures and Algorithms · Computer Science 2010-04-21 Jure Leskovec , Kevin J. Lang , Michael W. Mahoney

When a human matches two images, the viewer has a natural tendency to view the wide area around the target pixel to obtain clues of right correspondence. However, designing a matching cost function that works on a large window in the same…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Haesol Park , Kyoung Mu Lee

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

We consider machine learning in a comparison-based setting where we are given a set of points in a metric space, but we have no access to the actual distances between the points. Instead, we can only ask an oracle whether the distance…

Machine Learning · Statistics 2017-04-06 Siavash Haghiri , Debarghya Ghoshdastidar , Ulrike von Luxburg

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

The focus of this article is on the detection and classification of patterns based on groupoids. The approach hinges on descriptive proximity of points in a set based on the neighborliness property. This approach lends support to image…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Enoch A-iyeh , James F. Peters

K-nearest neighbor classification algorithm is one of the most basic algorithms in machine learning, which determines the sample's category by the similarity between samples. In this paper, we propose a quantum K-nearest neighbor…

Quantum Physics · Physics 2023-04-03 Jing Li , Song Lin , Yu Kai , Gongde Guo

Attention mechanisms have become of crucial importance in deep learning in recent years. These non-local operations, which are similar to traditional patch-based methods in image processing, complement local convolutions. However, computing…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Nicolas Cherel , Andrés Almansa , Yann Gousseau , Alasdair Newson

Similarity analysis using neural networks has emerged as a powerful technique for understanding and categorizing complex patterns in various domains. By leveraging the latent representations learned by neural networks, data objects such as…

Computer Vision and Pattern Recognition · Computer Science 2023-07-26 Cyril Juliani

Recognising and locating image patches or sets of image features is an important task underlying much work in computer vision. Traditionally this has been accomplished using template matching. However, template matching is notoriously…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 M. W. Spratling

Given a set of ordered pixel data in the form of an image, our goal is to perform upsampling on the data such that: the resulting resolution is improved by some factor, the final result passes the human test, having added new, believable,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Evan Matthews , Nicolas Prate

Many real-world networks such as the gene networks, protein-protein interaction networks and metabolic networks exhibit community structures, meaning the existence of groups of densely connected vertices in the networks. Many local…

Physics and Society · Physics 2016-03-25 Ju Xiang , Ke Hu , Yan Zhang , Mei-Hua Bao , Liang Tang , Yan-Ni Tang , Yuan-Yuan Gao , Jian-Ming Li , Benyan Chen , Jing-Bo Hu

In contrast to human vision, common recognition algorithms often fail on partially occluded images. We propose characterizing, empirically, the algorithmic limits by finding a minimal recognizable patch (MRP) that is by itself sufficient to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Mark Fonaryov , Michael Lindenbaum

Distance measuring is a very important task in digital geometry and digital image processing. Due to our natural approach to geometry we think of the set of points that are equally far from a given point as a Euclidean circle. Using the…

Metric Geometry · Mathematics 2010-06-18 Janos Farkas , Szabolcs Bajak , Benedek Nagy

We present a fast algorithm for global rigid symmetry detection with approximation guarantees. The algorithm is guaranteed to find the best approximate symmetry of a given shape, to within a user-specified threshold, with very high…

Computational Geometry · Computer Science 2016-09-20 Simon Korman , Roee Litman , Shai Avidan , Alex Bronstein