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Classical linear metric learning methods have recently been extended along two distinct lines: deep metric learning methods for learning embeddings of the data using neural networks, and Bregman divergence learning approaches for extending…

Machine Learning · Computer Science 2020-05-07 Kubra Cilingir , Rachel Manzelli , Brian Kulis

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

Deep Bregman divergence measures divergence of data points using neural networks which is beyond Euclidean distance and capable of capturing divergence over distributions. In this paper, we propose deep Bregman divergences for contrastive…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Mina Rezaei , Farzin Soleymani , Bernd Bischl , Shekoofeh Azizi

Bregman divergences generalize measures such as the squared Euclidean distance and the KL divergence, and arise throughout many areas of machine learning. In this paper, we focus on the problem of approximating an arbitrary Bregman…

Machine Learning · Statistics 2020-11-04 Ali Siahkamari , Xide Xia , Venkatesh Saligrama , David Castanon , Brian Kulis

Deep metric learning has attracted much attention in recent years, due to seamlessly combining the distance metric learning and deep neural network. Many endeavors are devoted to design different pair-based angular loss functions, which…

Computer Vision and Pattern Recognition · Computer Science 2020-11-06 Dingyi Zhang , Yingming Li , Zhongfei Zhang

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

In this work, we propose a novel approach for layerwise representation learning of a trained neural network. In particular, we form a Bregman divergence based on the layer's transfer function and construct an extension of the original…

Machine Learning · Computer Science 2022-09-16 Ehsan Amid , Rohan Anil , Christopher Fifty , Manfred K. Warmuth

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

Deep distance metric learning (DDML), which is proposed to learn image similarity metrics in an end-to-end manner based on the convolution neural network, has achieved encouraging results in many computer vision tasks.$L2$-normalization in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Xuefei Zhe , Shifeng Chen , Hong Yan

A typical assumption for the analysis of first order optimization methods is the Lipschitz continuity of the gradient of the objective function. However, for many practical applications this assumption is violated, including loss functions…

Optimization and Control · Mathematics 2019-10-10 Mahesh Chandra Mukkamala , Felix Westerkamp , Emanuel Laude , Daniel Cremers , Peter Ochs

The Bregman divergence (Bregman distance, Bregman measure of distance) is a certain useful substitute for a distance, obtained from a well-chosen function (the "Bregman function"). Bregman functions and divergences have been extensively…

Optimization and Control · Mathematics 2019-04-10 Daniel Reem , Simeon Reich , Alvaro De Pierro

Representations in the form of Symmetric Positive Definite (SPD) matrices have been popularized in a variety of visual learning applications due to their demonstrated ability to capture rich second-order statistics of visual data. There…

With the emergence of deep learning, metric learning has gained significant popularity in numerous machine learning tasks dealing with complex and large-scale datasets, such as information retrieval, object recognition and recommendation…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Imam Mustafa Kamal , Hyerim Bae , Ling Liu

Deep Metric Learning (DML), a widely-used technique, involves learning a distance metric between pairs of samples. DML uses deep neural architectures to learn semantic embeddings of the input, where the distance between similar examples is…

Machine Learning · Computer Science 2021-02-16 Thomas Kobber Panum , Zi Wang , Pengyu Kan , Earlence Fernandes , Somesh Jha

Distance metric learning (DML) approaches learn a transformation to a representation space where distance is in correspondence with a predefined notion of similarity. While such models offer a number of compelling benefits, it has been…

Machine Learning · Statistics 2016-03-03 Oren Rippel , Manohar Paluri , Piotr Dollar , Lubomir Bourdev

Deep metric learning aims to construct an embedding space where samples of the same class are close to each other, while samples of different classes are far away from each other. Most existing deep metric learning methods attempt to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Liu Pingping , Liu Zetong , Lang Yijun , Zhou Qiuzhan , Li Qingliang

Deep metric learning is essential for visual recognition. The widely used pair-wise (or triplet) based loss objectives cannot make full use of semantical information in training samples or give enough attention to those hard samples during…

Computer Vision and Pattern Recognition · Computer Science 2019-03-22 Lin Xu , Han Sun , Yuai Liu

The paper introduces scaled Bregman distances of probability distributions which admit non-uniform contributions of observed events. They are introduced in a general form covering not only the distances of discrete and continuous stochastic…

Information Theory · Computer Science 2021-05-12 Wolfgang Stummer , Igor Vajda

Recently, deep metric learning techniques received attention, as the learned distance representations are useful to capture the similarity relationship among samples and further improve the performance of various of supervised or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Zhiyuan Li , Anca Ralescu

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
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