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We propose a general information-theoretic approach called Seraph (SEmi-supervised metRic leArning Paradigm with Hyper-sparsity) for metric learning that does not rely upon the manifold assumption. Given the probability parameterized by a…

Machine Learning · Statistics 2015-03-19 Gang Niu , Bo Dai , Makoto Yamada , Masashi Sugiyama

Learning a distance metric from the given training samples plays a crucial role in many machine learning tasks, and various models and optimization algorithms have been proposed in the past decade. In this paper, we generalize several…

Machine Learning · Computer Science 2013-09-24 Faqiang Wang , Wangmeng Zuo , Lei Zhang , Deyu Meng , David Zhang

Deep Metric Learning (DML) methods have been proven relevant for visual similarity learning. However, they sometimes lack generalization properties because they are trained often using an inappropriate sample selection strategy or due to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Jorge Gonzalez-Zapata , Ivan Reyes-Amezcua , Daniel Flores-Araiza , Mauricio Mendez-Ruiz , Gilberto Ochoa-Ruiz , Andres Mendez-Vazquez

Image classification is an essential part of computer vision which assigns a given input image to a specific category based on the similarity evaluation within given criteria. While promising classifiers can be obtained through deep…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Emma Andrews , Prabhat Mishra

Distances are pervasive in machine learning. They serve as similarity measures, loss functions, and learning targets; it is said that a good distance measure solves a task. When defining distances, the triangle inequality has proven to be a…

Machine Learning · Computer Science 2020-07-08 Silviu Pitis , Harris Chan , Kiarash Jamali , Jimmy Ba

Distance metric learning is successful in discovering intrinsic relations in data. However, most algorithms are computationally demanding when the problem size becomes large. In this paper, we propose a discriminative metric learning…

Machine Learning · Computer Science 2019-05-15 Jun Li , Xun Lin , Xiaoguang Rui , Yong Rui , Dacheng Tao

We propose an efficient algorithm for learning mappings between two metric spaces, $\X$ and $\Y$. Our procedure is strongly Bayes-consistent whenever $\X$ and $\Y$ are topologically separable and $\Y$ is "bounded in expectation" (our term;…

Machine Learning · Computer Science 2026-05-06 Dan Tsir Cohen , Aryeh Kontorovich

Computing the similarity between two data points plays a vital role in many machine learning algorithms. Metric learning has the aim of learning a good metric automatically from data. Most existing studies on metric learning for…

Machine Learning · Computer Science 2020-03-10 Hikaru Shindo , Masaaki Nishino , Yasuaki Kobayashi , Akihiro Yamamoto

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

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

Deep semi-supervised learning has been widely implemented in the real-world due to the rapid development of deep learning. Recently, attention has shifted to the approaches such as Mean-Teacher to penalize the inconsistency between two…

Machine Learning · Statistics 2020-04-30 Sanyou Wu , Xingdong Feng , Fan Zhou

Geodesic distance serves as a reliable means of measuring distance in nonlinear spaces, and such nonlinear manifolds are prevalent in the current multimodal learning. In these scenarios, some samples may exhibit high similarity, yet they…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Shibin Mei , Hang Wang , Bingbing Ni

The performance of distance-based classifiers heavily depends on the underlying distance metric, so it is valuable to learn a suitable metric from the data. To address the problem of multimodality, it is desirable to learn local metrics. In…

Machine Learning · Computer Science 2018-02-13 Mingzhi Dong , Yujiang Wang , Xiaochen Yang , Jing-Hao Xue

Inspired by human-like behaviors for navigation: first searching to explore unknown areas before discovering the target, and then the pathfinding of moving towards the discovered target, recent studies design parallel submodules to achieve…

Artificial Intelligence · Computer Science 2025-07-23 Yanwei Zheng , Shaopu Feng , Bowen Huang , Chuanlin Lan , Xiao Zhang , Dongxiao Yu

Despite the widespread use and success of machine-learning techniques for detecting phase transitions from data, their working principle and fundamental limits remain elusive. Here, we explain the inner workings and identify potential…

Disordered Systems and Neural Networks · Physics 2023-11-20 Julian Arnold , Niels Lörch , Flemming Holtorf , Frank Schäfer

Self-supervised metric learning has been a successful approach for learning a distance from an unlabeled dataset. The resulting distance is broadly useful for improving various distance-based downstream tasks, even when no information from…

Machine Learning · Statistics 2022-03-18 Shulei Wang

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

Similarity/Distance measures play a key role in many machine learning, pattern recognition, and data mining algorithms, which leads to the emergence of metric learning field. Many metric learning algorithms learn a global distance function…

Machine Learning · Computer Science 2022-01-04 Baida Hamdan , Davood Zabihzadeh , Monsefi Reza

Manifold learning has been proven to be an effective method for capturing the implicitly intrinsic structure of non-Euclidean data, in which one of the primary challenges is how to maintain the distortion-free (isometry) of the data…

Machine Learning · Computer Science 2024-09-24 Zihao Chen , Wenyong Wang , Yu Xiang

Deep Metric Learning algorithms aim to learn an efficient embedding space to preserve the similarity relationships among the input data. Whilst these algorithms have achieved significant performance gains across a wide plethora of tasks,…

Computer Vision and Pattern Recognition · Computer Science 2022-09-15 Soumava Kumar Roy , Yan Han , Mehrtash Harandi , Lars Petersson