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The loss function plays an important role in optimizing the performance of a learning system. A crucial aspect of the loss function is the assignment of sample weights within a mini-batch during loss computation. In the context of continual…

Machine Learning · Computer Science 2024-01-30 Hamed Hemati , Damian Borth

We propose a new method, dubbed One Class Signed Distance Function (OCSDF), to perform One Class Classification (OCC) by provably learning the Signed Distance Function (SDF) to the boundary of the support of any distribution. The distance…

We develop new approaches in multi-class settings for constructing proper scoring rules and hinge-like losses and establishing corresponding regret bounds with respect to the zero-one or cost-weighted classification loss. Our construction…

Statistics Theory · Mathematics 2021-05-18 Zhiqiang Tan , Xinwei Zhang

We suggest a loss for learning deep embeddings. The new loss does not introduce parameters that need to be tuned and results in very good embeddings across a range of datasets and problems. The loss is computed by estimating two…

Computer Vision and Pattern Recognition · Computer Science 2016-11-04 Evgeniya Ustinova , Victor Lempitsky

Objective functions that optimize deep neural networks play a vital role in creating an enhanced feature representation of the input data. Although cross-entropy-based loss formulations have been extensively used in a variety of supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Deen Dayal Mohan , Bhavin Jawade , Srirangaraj Setlur , Venu Govindaraj

While cross entropy (CE) is the most commonly used loss to train deep neural networks for classification tasks, many alternative losses have been developed to obtain better empirical performance. Among them, which one is the best to use is…

Machine Learning · Computer Science 2022-10-11 Jinxin Zhou , Chong You , Xiao Li , Kangning Liu , Sheng Liu , Qing Qu , Zhihui Zhu

State-of-the-art neural networks are vulnerable to adversarial examples; they can easily misclassify inputs that are imperceptibly different than their training and test data. In this work, we establish that the use of cross-entropy loss…

Machine Learning · Computer Science 2019-01-25 Kamil Nar , Orhan Ocal , S. Shankar Sastry , Kannan Ramchandran

Minimizing inconsistencies across successive versions of an AI system is as crucial as reducing the overall error. In image classification, such inconsistencies manifest as negative flips, where an updated model misclassifies test samples…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Simone Ricci , Niccolò Biondi , Federico Pernici , Alberto Del Bimbo

Neural-symbolic approaches have recently gained popularity to inject prior knowledge into a learner without requiring it to induce this knowledge from data. These approaches can potentially learn competitive solutions with a significant…

Artificial Intelligence · Computer Science 2023-02-16 Giuseppe Marra , Francesco Giannini , Michelangelo Diligenti , Marco Maggini , Marco Gori

Regularized risk minimization with the binary hinge loss and its variants lies at the heart of many machine learning problems. Bundle methods for regularized risk minimization (BMRM) and the closely related SVMStruct are considered the best…

Machine Learning · Computer Science 2009-09-09 Ankan Saha , Xinhua Zhang , S. V. N. Vishwanathan

The foundational concept of Max-Margin in machine learning is ill-posed for output spaces with more than two labels such as in structured prediction. In this paper, we show that the Max-Margin loss can only be consistent to the…

Machine Learning · Computer Science 2022-03-22 Alex Nowak-Vila , Alessandro Rudi , Francis Bach

In recent years, the remarkable success of deep neural networks (DNNs) in computer vision is largely due to large-scale, high-quality labeled datasets. Training directly on real-world datasets with label noise may result in overfitting. The…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Yuandi Zhao , Qianxi Xia , Yang Sun , Zhijie Wen , Liyan Ma , Shihui Ying

This work proposes a semantic segmentation network that produces high-quality uncertainty estimates in a single forward pass. We exploit general representations from foundation models and unlabelled datasets through a Masked Image Modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-28 David S. W. Williams , Matthew Gadd , Paul Newman , Daniele De Martini

Support Vector Machines (SVMs) based on hinge loss have been extensively discussed and applied to various binary classification tasks. These SVMs achieve a balance between margin maximization and the minimization of slack due to outliers.…

Machine Learning · Computer Science 2024-08-21 Haoxiang Sun

Mean square error (MSE) has been the preferred choice as loss function in the current deep neural network (DNN) based speech separation techniques. In this paper, we propose a new cost function with the aim of optimizing the extended short…

Sound · Computer Science 2018-07-19 Gaurav Naithani , Joonas Nikunen , Lars Bramsløw , Tuomas Virtanen

This paper illustrates the central role of loss functions in data-driven decision making, providing a comprehensive survey on their influence in cost-sensitive classification (CSC) and reinforcement learning (RL). We demonstrate how…

Machine Learning · Statistics 2025-04-07 Kaiwen Wang , Nathan Kallus , Wen Sun

This paper describes one objective function for learning semantically coherent feature embeddings in multi-output classification problems, i.e., when the response variables have dimension higher than one. In particular, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Hugo Proença , Ehsan Yaghoubi , Pendar Alirezazadeh

Deep representation learning using triplet network for classification suffers from a lack of theoretical foundation and difficulty in tuning both the network and classifiers for performance. To address the problem, local-margin triplet loss…

Computer Vision and Pattern Recognition · Computer Science 2019-11-20 Phawis Thammasorn , Daniel Hippe , Wanpracha Chaovalitwongse , Matthew Spraker , Landon Wootton , Matthew Nyflot , Stephanie Combs , Jan Peeken , Eric Ford

Existing research into online multi-label classification, such as online sequential multi-label extreme learning machine (OSML-ELM) and stochastic gradient descent (SGD), has achieved promising performance. However, these works do not take…

Machine Learning · Computer Science 2020-06-15 Xiuwen Gong , Jiahui Yang , Dong Yuan , Wei Bao

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

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