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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

Enforcing orthonormal or isometric property for the weight matrices has been shown to enhance the training of deep neural networks by mitigating gradient exploding/vanishing and increasing the robustness of the learned networks. However,…

Machine Learning · Computer Science 2024-03-01 Zhen Qin , Xuwei Tan , Zhihui Zhu

Neural networks have shown significant potential in solving partial differential equations (PDEs). While deep networks are capable of approximating complex functions, direct one-shot training often faces limitations in both accuracy and…

Numerical Analysis · Mathematics 2025-03-10 Mingxing Weng , Zhiping Mao , Jie Shen

Conventional solvers are often computationally expensive for constrained optimization, particularly in large-scale and time-critical problems. While this leads to a growing interest in using neural networks (NNs) as fast optimal solution…

Optimization and Control · Mathematics 2024-09-24 Minsoo Kim , Hongseok Kim

Continuous-depth neural networks, such as Neural ODEs, have refashioned the understanding of residual neural networks in terms of non-linear vector-valued optimal control problems. The common solution is to use the adjoint sensitivity…

Machine Learning · Computer Science 2022-02-16 Andrew Corbett , Dmitry Kangin

Visual odometry (VO) and SLAM have been using multi-view geometry via local structure from motion for decades. These methods have a slight disadvantage in challenging scenarios such as low-texture images, dynamic scenarios, etc. Meanwhile,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Akankshya Kar , Sajal Maheshwari , Shamit Lal , Vinay Sameer Raja Kad

In the context of pose-invariant object recognition and retrieval, we demonstrate that it is possible to achieve significant improvements in performance if both the category-based and the object-identity-based embeddings are learned…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Rohan Sarkar , Avinash Kak

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., through proper orthogonal decomposition (POD) - when applied to…

Numerical Analysis · Mathematics 2021-11-03 Stefania Fresca , Andrea Manzoni

Cross-entropy loss together with softmax is arguably one of the most common used supervision components in convolutional neural networks (CNNs). Despite its simplicity, popularity and excellent performance, the component does not explicitly…

Machine Learning · Statistics 2017-11-21 Weiyang Liu , Yandong Wen , Zhiding Yu , Meng Yang

Various logit-adjusted parameterizations of the cross-entropy (CE) loss have been proposed as alternatives to weighted CE for training large models on label-imbalanced data far beyond the zero train error regime. The driving force behind…

Machine Learning · Computer Science 2023-03-15 Tina Behnia , Ganesh Ramachandra Kini , Vala Vakilian , Christos Thrampoulidis

Fueled by deep learning, computer-aided diagnosis achieves huge advances. However, out of controlled lab environments, algorithms could face multiple challenges. Open set recognition (OSR), as an important one, states that categories unseen…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Mingyuan Liu , Lu Xu , Jicong Zhang

A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs). We study input-output relations of neural ODEs using dynamical systems theory and prove several results…

Dynamical Systems · Mathematics 2023-09-29 Christian Kuehn , Sara-Viola Kuntz

This study explores the learning dynamics of neural networks by analyzing the singular value decomposition (SVD) of their weights throughout training. Our investigation reveals that an orthogonal basis within each multidimensional weight's…

Machine Learning · Computer Science 2024-11-12 Daniel Coquelin , Katharina Flügel , Marie Weiel , Nicholas Kiefer , Charlotte Debus , Achim Streit , Markus Götz

Foundational Models pretrained on huge amount of data learn representations that evolve across depth, forming a hierarchy of embeddings with distinct semantic content and geometric structure. Contrary to the widespread practice of using…

Machine Learning · Computer Science 2026-05-25 Arnesh Batra , Arush Gumber , Aniket Khandelwal , Jashn Khemani , Anubha Gupta

Deep learning models tend to memorize training data, which hurts their ability to generalize to under-represented classes. We empirically study a convolutional neural network's internal representation of imbalanced image data and measure…

Machine Learning · Computer Science 2022-10-19 Damien Dablain , Colin Bellinger , Bartosz Krawczyk , Nitesh Chawla

Despite the astonishing performance of deep-learning based approaches for visual tasks such as semantic segmentation, they are known to produce miscalibrated predictions, which could be harmful for critical decision-making processes.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Agostina J. Larrazabal , César Martínez , Jose Dolz , Enzo Ferrante

One-class classification (OCC) aims to train a classifier only with the target class data and attracts great attention for its strong applicability in real-world application. Despite a lot of advances have been made in OCC, it still lacks…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Ziyang Jiang , Peng Lin , Tianlei Wang

Deep metric learning has yielded impressive results in tasks such as clustering and image retrieval by leveraging neural networks to obtain highly discriminative feature embeddings, which can be used to group samples into different classes.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Ismail Elezi , Jenny Seidenschwarz , Laurin Wagner , Sebastiano Vascon , Alessandro Torcinovich , Marcello Pelillo , Laura Leal-Taixe

We propose a large-margin Gaussian Mixture (L-GM) loss for deep neural networks in classification tasks. Different from the softmax cross-entropy loss, our proposal is established on the assumption that the deep features of the training set…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Weitao Wan , Yuanyi Zhong , Tianpeng Li , Jiansheng Chen

Learning to rank has recently emerged as an attractive technique to train deep convolutional neural networks for various computer vision tasks. Pairwise ranking, in particular, has been successful in multi-label image classification,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Yuncheng Li , Yale Song , Jiebo Luo