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Related papers: Rethinking the Harmonic Loss via Non-Euclidean Dis…

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In this paper, we introduce harmonic loss as an alternative supervisory signal for training neural networks and large language models (LLMs). Harmonic loss differs from standard cross-entropy loss by (a) replacing the usual SoftMax…

Machine Learning · Computer Science 2025-07-11 David D. Baek , Ziming Liu , Riya Tyagi , Max Tegmark

Recently, substantial research efforts in Deep Metric Learning (DML) focused on designing complex pairwise-distance losses, which require convoluted schemes to ease optimization, such as sample mining or pair weighting. The standard…

Machine Learning · Computer Science 2021-11-29 Malik Boudiaf , Jérôme Rony , Imtiaz Masud Ziko , Eric Granger , Marco Pedersoli , Pablo Piantanida , Ismail Ben Ayed

In traditional supervised learning, the cross-entropy loss treats all incorrect predictions equally, ignoring the relevance or proximity of wrong labels to the correct answer. By leveraging a tree hierarchy for fine-grained labels, we…

Sound · Computer Science 2025-01-23 Haokun Tian , Stefan Lattner , Brian McFee , Charalampos Saitis

Triplet loss is widely used for learning local descriptors from image patch. However, triplet loss only minimizes the Euclidean distance between matching descriptors and maximizes that between the non-matching descriptors, which neglects…

Computer Vision and Pattern Recognition · Computer Science 2020-06-08 Honghu Pan , Fanyang Meng , Zhenyu He , Yongsheng Liang , Wei Liu

There is no such thing as a perfect dataset. In some datasets, deep neural networks discover underlying heuristics that allow them to take shortcuts in the learning process, resulting in poor generalization capability. Instead of using…

Computation and Language · Computer Science 2022-11-28 Frano Rajič , Ivan Stresec , Axel Marmet , Tim Poštuvan

Almost all statistical and machine learning methods in analyzing brain networks rely on distances and loss functions, which are mostly Euclidean or matrix norms. The Euclidean or matrix distances may fail to capture underlying subtle…

Computational Geometry · Computer Science 2021-02-18 Moo K. Chung , Alexander Smith , Gary Shiu

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

Trajectory similarity is a cornerstone of trajectory data management and analysis. Traditional similarity functions often suffer from high computational complexity and a reliance on specific distance metrics, prompting a shift towards deep…

Databases · Computer Science 2025-04-16 Jianing Si , Haitao Yuan , Nan Jiang , Minxiao Chen , Xiao Ma , Shangguang Wang

Pairwise Euclidean distance calculation is a fundamental step in many machine learning and data analysis algorithms. In real-world applications, however, these distances are frequently distorted by heteroskedastic noise$\unicode{x2014}$a…

Machine Learning · Statistics 2025-09-12 Keyi Li , Yuval Kluger , Boris Landa

With the increasing complexity of the traffic environment, the significance of safety perception in intelligent driving is intensifying. Traditional methods in the field of intelligent driving perception rely on deep learning, which suffers…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Haobo Yang , Shiyan Zhang , Zhuoyi Yang , Xinyu Zhang , Jilong Guo , Zongyou Yang , Jun Li

Widely used loss functions for CNN segmentation, e.g., Dice or cross-entropy, are based on integrals over the segmentation regions. Unfortunately, for highly unbalanced segmentations, such regional summations have values that differ by…

Image and Video Processing · Electrical Eng. & Systems 2020-10-20 Hoel Kervadec , Jihene Bouchtiba , Christian Desrosiers , Eric Granger , Jose Dolz , Ismail Ben Ayed

Recent end-to-end deep neural networks for disparity regression have achieved the state-of-the-art performance. However, many well-acknowledged specific properties of disparity estimation are omitted in these deep learning algorithms.…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Yang Chen , Zongqing Lu , Xuechen Zhang , Lei Chen , Qingmin Liao

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

Machine Learning · Computer Science 2016-12-16 Hoel Le Capitaine

The cross entropy loss is widely used due to its effectiveness and solid theoretical grounding. However, as training progresses, the loss tends to focus on hard to classify samples, which may prevent the network from obtaining gains in…

Machine Learning · Computer Science 2021-09-14 Barak Battash , Lior Wolf , Tamir Hazan

In linear distance metric learning, we are given data in one Euclidean metric space and the goal is to find an appropriate linear map to another Euclidean metric space which respects certain distance conditions as much as possible. In this…

Machine Learning · Computer Science 2023-12-22 Meysam Alishahi , Anna Little , Jeff M. Phillips

Deep-learning architectures for classification problems involve the cross-entropy loss sometimes assisted with auxiliary loss functions like center loss, contrastive loss and triplet loss. These auxiliary loss functions facilitate better…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Hongjun Choi , Anirudh Som , Pavan Turaga

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

Distance/Similarity learning is a fundamental problem in machine learning. For example, kNN classifier or clustering methods are based on a distance/similarity measure. Metric learning algorithms enhance the efficiency of these methods by…

Machine Learning · Computer Science 2021-08-13 Sumia Abdulhussien Razooqi Al-Obaidi , Davood Zabihzadeh , Hamideh Hajiabadi

Cross-entropy loss is the standard metric used to train classification models in deep learning and gradient boosting. It is well-known that this loss function fails to account for similarities between the different values of the target. We…

Machine Learning · Statistics 2022-06-16 Brian Lucena

In recent years, there has been a growing trend of incorporating hyperbolic geometry methods into computer vision. While these methods have achieved state-of-the-art performance on various metric learning tasks using hyperbolic distance…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Yun Yue , Fangzhou Lin , Guanyi Mou , Ziming Zhang
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