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Learning the embedding space, where semantically similar objects are located close together and dissimilar objects far apart, is a cornerstone of many computer vision applications. Existing approaches usually learn a single metric in the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Artsiom Sanakoyeu , Vadim Tschernezki , Uta Büchler , Björn Ommer

The objective of this paper is to design an embedding method that maps local features describing an image (e.g. SIFT) to a higher dimensional representation useful for the image retrieval problem. First, motivated by the relationship…

Computer Vision and Pattern Recognition · Computer Science 2017-04-05 Thanh-Toan Do , Ngai-Man Cheung

The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the…

Machine Learning · Statistics 2007-06-26 Bharath K. Sriperumbudur , Gert R. G. Lanckriet

Graph embedding provides a feasible methodology to conduct pattern classification for graph-structured data by mapping each data into the vectorial space. Various pioneering works are essentially coding method that concentrates on a…

Machine Learning · Computer Science 2022-10-04 Xue Liu , Dan Sun , Xiaobo Cao , Hao Ye , Wei Wei

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

Embeddings are a basic initial feature extraction step in many machine learning models, particularly in natural language processing. An embedding attempts to map data tokens to a low-dimensional space where similar tokens are mapped to…

Machine Learning · Computer Science 2025-04-10 Golara Ahmadi Azar , Melika Emami , Alyson Fletcher , Sundeep Rangan

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

Machine Learning · Computer Science 2018-07-17 Benjamin Paaßen , Claudio Gallicchio , Alessio Micheli , Barbara Hammer

We study the problem of recovering a globally consistent Euclidean embedding of data, given only a local distance graph and propose a method that optimally represents these distances. The method operates solely on a neighborhood graph…

Machine Learning · Computer Science 2026-05-20 Dimitris Arabadjis

Deep networks are successfully used as classification models yielding state-of-the-art results when trained on a large number of labeled samples. These models, however, are usually much less suited for semi-supervised problems because of…

Machine Learning · Computer Science 2018-12-05 Elad Hoffer , Nir Ailon

Proximities are at the heart of almost all machine learning methods. If the input data are given as numerical vectors of equal lengths, euclidean distance, or a Hilbertian inner product is frequently used in modeling algorithms. In a more…

Machine Learning · Computer Science 2020-09-01 Maximilian Münch , Michiel Straat , Michael Biehl , Frank-Michael Schleif

We present a semi-supervised learning framework based on graph embeddings. Given a graph between instances, we train an embedding for each instance to jointly predict the class label and the neighborhood context in the graph. We develop…

Machine Learning · Computer Science 2016-05-30 Zhilin Yang , William W. Cohen , Ruslan Salakhutdinov

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

Many metric learning tasks, such as triplet learning, nearest neighbor retrieval, and visualization, are treated primarily as embedding tasks where the ultimate metric is some variant of the Euclidean distance (e.g., cosine or Mahalanobis),…

Machine Learning · Computer Science 2023-11-22 Fred Lu , Edward Raff , Francis Ferraro

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

Machine Learning · Computer Science 2018-05-21 Benjamin Paaßen

Existing deep embedding methods in vision tasks are capable of learning a compact Euclidean space from images, where Euclidean distances correspond to a similarity metric. To make learning more effective and efficient, hard sample mining is…

Computer Vision and Pattern Recognition · Computer Science 2016-10-28 Chen Huang , Chen Change Loy , Xiaoou Tang

In this paper, we develop a novel method for fast geodesic distance queries. The key idea is to embed the mesh into a high-dimensional space, such that the Euclidean distance in the high-dimensional space can induce the geodesic distance in…

Graphics · Computer Science 2021-09-02 Qianwei Xia , Juyong Zhang , Zheng Fang , Jin Li , Mingyue Zhang , Bailin Deng , Ying He

Deep metric learning employs deep neural networks to embed instances into a metric space such that distances between instances of the same class are small and distances between instances from different classes are large. In most existing…

Machine Learning · Computer Science 2019-12-05 Ahmed Abdelwahab , Niels Landwehr

This paper proposes a new deep convolutional neural network (DCNN) architecture that learns pixel embeddings, such that pairwise distances between the embeddings can be used to infer whether or not the pixels lie on the same region. That…

Computer Vision and Pattern Recognition · Computer Science 2016-01-11 Adam W. Harley , Konstantinos G. Derpanis , Iasonas Kokkinos

Spectral embedding based on the Singular Value Decomposition (SVD) is a widely used "preprocessing" step in many learning tasks, typically leading to dimensionality reduction by projecting onto a number of dominant singular vectors and…

Machine Learning · Statistics 2015-09-29 Dinesh Ramasamy , Upamanyu Madhow

We consider the problem of learning a measure of distance among vectors in a feature space and propose a hybrid method that simultaneously learns from similarity ratings assigned to pairs of vectors and class labels assigned to individual…

Machine Learning · Computer Science 2012-07-02 Yi-Hao Kao , Benjamin Van Roy , Daniel Rubin , Jiajing Xu , Jessica Faruque , Sandy Napel
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