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The softmax function is a cornerstone of multi-class classification, integral to a wide range of machine learning applications, from large-scale retrieval and ranking models to advanced large language models. However, its computational cost…

Machine Learning · Computer Science 2025-01-16 Jin Chen , Jin Zhang , Xu huang , Yi Yang , Defu Lian , Enhong Chen

In probabilistic classification, a discriminative model based on the softmax function has a potential limitation in that it assumes unimodality for each class in the feature space. The mixture model can address this issue, although it leads…

Machine Learning · Computer Science 2021-05-10 Hideaki Hayashi , Seiichi Uchida

Modern image retrieval systems increasingly rely on the use of deep neural networks to learn embedding spaces in which distance encodes the relevance between a given query and image. In this setting, existing approaches tend to emphasize…

Machine Learning · Computer Science 2020-11-18 Andreas Veit , Kimberly Wilber

Few-shot learning (FSL) is a challenging task in machine learning, demanding a model to render discriminative classification by using only a few labeled samples. In the literature of FSL, deep models are trained in a manner of metric…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Tong Wu , Takumi Kobayashi

In node classification using graph neural networks (GNNs), a typical model generates logits for different class labels at each node. A softmax layer often outputs a label prediction based on the largest logit. We demonstrate that it is…

Machine Learning · Computer Science 2023-05-02 Feng Ji , See Hian Lee , Hanyang Meng , Kai Zhao , Jielong Yang , Wee Peng Tay

One-class classification (OCC) aims to learn an effective data description to enclose all normal training samples and detect anomalies based on the deviation from the data description. Current state-of-the-art OCC models learn a compact…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Yuanhong Chen , Yu Tian , Guansong Pang , Gustavo Carneiro

With the development of convolutional neural networks (CNNs) in recent years, the network structure has become more and more complex and varied, and has achieved very good results in pattern recognition, image classification, object…

Computer Vision and Pattern Recognition · Computer Science 2019-04-29 Qiuyu Zhu , Pengju Zhang , Xin Ye

We present consistent algorithms for multiclass learning with complex performance metrics and constraints, where the objective and constraints are defined by arbitrary functions of the confusion matrix. This setting includes many common…

When training classification models, it expects that the learned features are compact within classes, and can well separate different classes. As the dominant loss function for training classification models, minimizing cross-entropy (CE)…

Machine Learning · Computer Science 2025-05-12 Qiufu Li , Huibin Xiao , Linlin Shen

State-of-the-art face recognition methods typically take the multi-classification pipeline and adopt the softmax-based loss for optimization. Although these methods have achieved great success, the softmax-based loss has its limitation from…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Lizhe Liu , Mingqiang Chen , Xiaohao Chen , Siyu Zhu , Ping Tan

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

3D Gaussian Splatting (3D GS) is widely adopted for novel view synthesis due to its high training and rendering efficiency. However, its efficiency relies on the key assumption that Gaussians do not overlap in the 3D space, which leads to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Chen Ziwen , Peng Wang , Hao Tan , Zexiang Xu , Li Fuxin

In recent years, the softmax model and its fast approximations have become the de-facto loss functions for deep neural networks when dealing with multi-class prediction. This loss has been extended to language modeling and recommendation,…

Machine Learning · Statistics 2019-09-19 Ugo Tanielian , Flavian Vasile

While semi-supervised learning (SSL) has yielded promising results, the more realistic SSL scenario remains to be explored, in which the unlabeled data exhibits extremely high recognition difficulty, e.g., fine-grained visual classification…

Machine Learning · Computer Science 2023-12-20 Yue Duan , Zhen Zhao , Lei Qi , Luping Zhou , Lei Wang , Yinghuan Shi

We propose a prototype-based approach for improving explainability of softmax classifiers that provides an understandable prediction confidence, generated through stochastic sampling of prototypes, and demonstrates potential for out of…

Machine Learning · Computer Science 2024-07-17 Hilarie Sit , Brendan Keith , Karianne Bergen

Metric learning aims to learn distances from the data, which enhances the performance of similarity-based algorithms. An author style detection task is a metric learning problem, where learning style features with small intra-class…

Machine Learning · Computer Science 2022-12-19 Gayan K. Kulatilleke , Shekhar S. Chandra , Marius Portmann

A novel technique for deep learning of image classifiers is presented. The learned CNN models offer better separation of deep features (also known as embedded vectors) measured by Euclidean proximity and also no deterioration of the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Rafal Pilarczyk , Wladyslaw Skarbek

In standard classification, we typically treat class categories as independent of one-another. In many problems, however, we would be neglecting the natural relations that exist between categories, which are often dictated by an underlying…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Muhamedrahimov Raouf , Bar Amir , Akselrod-Ballin Ayelet

Class incremental semantic segmentation aims to strike a balance between the model's stability and plasticity by maintaining old knowledge while adapting to new concepts. However, most state-of-the-art methods use the freeze strategy for…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Zekang Zhang , Guangyu Gao , Jianbo Jiao , Chi Harold Liu , Yunchao Wei

To mitigate the burden of data labeling, we aim at improving data efficiency for both classification and regression setups in deep learning. However, the current focus is on classification problems while rare attention has been paid to deep…

Machine Learning · Computer Science 2021-10-12 Ximei Wang , Xinyang Chen , Jianmin Wang , Mingsheng Long
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