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This paper investigates the deep learning optimization problem with softmax cross-entropy loss. We propose a layer separation strategy to alleviate the strong nonconvexity encountered during training deep networks. For cross-entropy models…

Machine Learning · Computer Science 2026-04-28 Yaru Liu , Michael K. Ng , Yiqi Gu

Deep neural networks tend to memorize noisy labels, severely degrading their generalization performance. Although Mixup has demonstrated effectiveness in improving generalization and robustness, existing Mixup-based methods typically…

Machine Learning · Computer Science 2025-09-16 Qiuhao Liu , Ling Li , Yao Lu , Qi Xuan , Zhaowei Zhu , Jiaheng Wei

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

Deep neural networks (DNNs) provide state-of-the-art results on various tasks and are widely used in real world applications. However, it was discovered that machine learning models, including the best performing DNNs, suffer from a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Andras Rozsa , Manuel Günther , Terrance E. Boult

Pre-trained Deep Neural Network (DNN) models are increasingly used in smartphones and other user devices to enable prediction services, leading to potential disclosures of (sensitive) information from training data captured inside these…

Cryptography and Security · Computer Science 2019-07-16 Fan Mo , Ali Shahin Shamsabadi , Kleomenis Katevas , Andrea Cavallaro , Hamed Haddadi

Spiking Neural Networks (SNNs) may offer an energy-efficient alternative for implementing deep learning applications. In recent years, there have been several proposals focused on supervised (conversion, spike-based gradient descent) and…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Priyadarshini Panda , Aparna Aketi , Kaushik Roy

Softmax function is widely used in artificial neural networks for multiclass classification, multilabel classification, attention mechanisms, etc. However, its efficacy is often questioned in literature. The log-softmax loss has been shown…

Machine Learning · Computer Science 2020-11-24 Kunal Banerjee , Vishak Prasad C , Rishi Raj Gupta , Karthik Vyas , Anushree H , Biswajit Mishra

Learning image representations on decentralized data can bring many benefits in cases where data cannot be aggregated across data silos. Softmax cross entropy loss is highly effective and commonly used for learning image representations.…

Machine Learning · Computer Science 2022-03-10 Sagar M. Waghmare , Hang Qi , Huizhong Chen , Mikhail Sirotenko , Tomer Meron

Metric learning aims at learning a distance which is consistent with the semantic meaning of the samples. The problem is generally solved by learning an embedding for each sample such that the embeddings of samples of the same category are…

Machine Learning · Computer Science 2018-09-13 Xu Zhang , Felix Xinnan Yu , Svebor Karaman , Wei Zhang , Shih-Fu Chang

The success of deep neural networks greatly relies on the availability of large amounts of high-quality annotated data, which however are difficult or expensive to obtain. The resulting labels may be class imbalanced, noisy or human biased.…

Machine Learning · Computer Science 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

Inspired by Regularized Lottery Ticket Hypothesis (RLTH), which hypothesizes that there exist smooth (non-binary) subnetworks within a dense network that achieve the competitive performance of the dense network, we propose a few-shot class…

Machine Learning · Computer Science 2023-03-02 Haeyong Kang , Jaehong Yoon , Sultan Rizky Hikmawan Madjid , Sung Ju Hwang , Chang D. Yoo

We propose a new self-organizing hierarchical softmax formulation for neural-network-based language models over large vocabularies. Instead of using a predefined hierarchical structure, our approach is capable of learning word clusters with…

Computation and Language · Computer Science 2017-07-29 Yikang Shen , Shawn Tan , Chrisopher Pal , Aaron Courville

We consider class incremental learning (CIL) problem, in which a learning agent continuously learns new classes from incrementally arriving training data batches and aims to predict well on all the classes learned so far. The main challenge…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Hongjoon Ahn , Jihwan Kwak , Subin Lim , Hyeonsu Bang , Hyojun Kim , Taesup Moon

Certified verification of transformer attention requires bounding the softmax function over interval constraints on the pre-softmax scores. Existing verifiers relax softmax ndependently of the downstream objective, leaving avoidable slack.…

Machine Learning · Computer Science 2026-05-13 Navid Rezazadeh , Arash Gholami Davoodi

For a broad variety of critical applications, it is essential to know how confident a classification prediction is. In this paper, we discuss the drawbacks of softmax to calculate class probabilities and to handle uncertainty in Bayesian…

Machine Learning · Computer Science 2019-06-11 Christian Herta , Benjamin Voigt

In Federated Learning, a global model is learned by aggregating model updates computed at a set of independent client nodes, to reduce communication costs multiple gradient steps are performed at each node prior to aggregation. A key…

Machine Learning · Computer Science 2023-04-12 Gwen Legate , Lucas Caccia , Eugene Belilovsky

In this paper, we explore ordinal classification (in the context of deep neural networks) through a simple modification of the squared error loss which not only allows it to not only be sensitive to class ordering, but also allows the…

Machine Learning · Statistics 2017-01-10 Christopher Beckham , Christopher Pal

Weakly supervised text classification methods typically train a deep neural classifier based on pseudo-labels. The quality of pseudo-labels is crucial to final performance but they are inevitably noisy due to their heuristic nature, so…

Computation and Language · Computer Science 2022-10-26 Dheeraj Mekala , Chengyu Dong , Jingbo Shang

Label Smoothing (LS) improves model generalization through penalizing models from generating overconfident output distributions. For each training sample the LS strategy smooths the one-hot encoded training signal by distributing its…

Machine Learning · Computer Science 2021-06-29 Hongyu Guo

Deep learning models have become increasingly useful in many different industries. On the domain of image classification, convolutional neural networks proved the ability to learn robust features for the closed set problem, as shown in many…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Rafael S. Pereira , Alexis Joly , Patrick Valduriez , Fabio Porto
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