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The Softmax loss is one of the most widely employed surrogate objectives for classification and ranking tasks. To elucidate its theoretical properties, the Fenchel-Young framework situates it as a canonical instance within a broad family of…

机器学习 · 计算机科学 2026-02-02 Yuanhao Pu , Defu Lian , Enhong Chen

Soft random sampling (SRS) is a simple yet effective approach for efficient training of large-scale deep neural networks when dealing with massive data. SRS selects a subset uniformly at random with replacement from the full data set in…

机器学习 · 计算机科学 2023-11-27 Xiaodong Cui , Ashish Mittal , Songtao Lu , Wei Zhang , George Saon , Brian Kingsbury

We propose DropMax, a stochastic version of softmax classifier which at each iteration drops non-target classes according to dropout probabilities adaptively decided for each instance. Specifically, we overlay binary masking variables over…

机器学习 · 计算机科学 2018-11-05 Hae Beom Lee , Juho Lee , Saehoon Kim , Eunho Yang , Sung Ju Hwang

When incrementally trained on new classes, deep neural networks are subject to catastrophic forgetting which leads to an extreme deterioration of their performance on the old classes while learning the new ones. Using a small memory…

机器学习 · 计算机科学 2022-11-15 Quentin Jodelet , Xin Liu , Tsuyoshi Murata

Fairness and robustness are critical elements of Trustworthy AI that need to be addressed together. Fairness is about learning an unbiased model while robustness is about learning from corrupted data, and it is known that addressing only…

机器学习 · 计算机科学 2021-10-28 Yuji Roh , Kangwook Lee , Steven Euijong Whang , Changho Suh

In the past few years, Softmax has become a common component in neural network frameworks. In this paper, a gradient decay hyperparameter is introduced in Softmax to control the probability-dependent gradient decay rate during training. By…

机器学习 · 统计学 2023-10-10 Siyuan Zhang , Linbo Xie , Ying Chen

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…

机器学习 · 计算机科学 2023-04-12 Gwen Legate , Lucas Caccia , Eugene Belilovsky

Nowadays artificial neural network models achieve remarkable results in many disciplines. Functions mapping the representation provided by the model to the probability distribution are the inseparable aspect of deep learning solutions.…

机器学习 · 计算机科学 2023-04-24 Klaudia Bałazy , Łukasz Struski , Marek Śmieja , Jacek Tabor

Due to the complexity of order statistics, the finite sample behaviour of robust statistics is generally not analytically solvable. While the Monte Carlo method can provide approximate solutions, its convergence rate is typically very slow,…

统计方法学 · 统计学 2024-09-12 Li Tuobang

The softmax representation of probabilities for categorical variables plays a prominent role in modern machine learning with numerous applications in areas such as large scale classification, neural language modeling and recommendation…

机器学习 · 统计学 2016-11-01 Michalis K. Titsias

Distance metric learning (DML) is to learn the embeddings where examples from the same class are closer than examples from different classes. It can be cast as an optimization problem with triplet constraints. Due to the vast number of…

计算机视觉与模式识别 · 计算机科学 2020-04-16 Qi Qian , Lei Shang , Baigui Sun , Juhua Hu , Hao Li , Rong Jin

Neural networks utilize the softmax as a building block in classification tasks, which contains an overconfidence problem and lacks an uncertainty representation ability. As a Bayesian alternative to the softmax, we consider a random…

机器学习 · 计算机科学 2020-06-30 Taejong Joo , Uijung Chung , Min-Gwan Seo

In many applications we seek to maximize an expectation with respect to a distribution over discrete variables. Estimating gradients of such objectives with respect to the distribution parameters is a challenging problem. We analyze…

机器学习 · 统计学 2019-06-18 Evgeny Andriyash , Arash Vahdat , Bill Macready

The softmax loss and its variants are widely used as objectives for embedding learning, especially in applications like face recognition. However, the intra- and inter-class objectives in the softmax loss are entangled, therefore a…

计算机视觉与模式识别 · 计算机科学 2020-02-13 Lanqing He , Zhongdao Wang , Yali Li , Shengjin Wang

Deep embedding learning is expected to learn a metric space in which features have smaller maximal intra-class distance than minimal inter-class distance. In recent years, one research focus is to solve the open-set problem by…

计算机视觉与模式识别 · 计算机科学 2020-11-24 Hao Zhu , Yang Yuan , Guosheng Hu , Xiang Wu , Neil Robertson

Meta-learning has demonstrated promising results in few-shot classification (FSC) by learning to solve new problems using prior knowledge. Bayesian methods are effective at characterizing uncertainty in FSC, which is crucial in high-risk…

机器学习 · 计算机科学 2024-10-14 Tianjun Ke , Haoqun Cao , Zenan Ling , Feng Zhou

This paper presents a theoretical analysis of sample selection bias correction. The sample bias correction technique commonly used in machine learning consists of reweighting the cost of an error on each training point of a biased sample to…

机器学习 · 计算机科学 2008-12-18 Corinna Cortes , Mehryar Mohri , Michael Riley , Afshin Rostamizadeh

Policy-gradient approaches to reinforcement learning have two common and undesirable overhead procedures, namely warm-start training and sample variance reduction. In this paper, we describe a reinforcement learning method based on a…

机器学习 · 计算机科学 2017-10-17 Nan Ding , Radu Soricut

The softmax function combined with a cross-entropy loss is a principled approach to modeling probability distributions that has become ubiquitous in deep learning. The softmax function is defined by a lone hyperparameter, the temperature,…

机器学习 · 计算机科学 2020-10-16 Atish Agarwala , Jeffrey Pennington , Yann Dauphin , Sam Schoenholz

Previous work shows that adversarially robust generalization requires larger sample complexity, and the same dataset, e.g., CIFAR-10, which enables good standard accuracy may not suffice to train robust models. Since collecting new training…

机器学习 · 计算机科学 2020-02-21 Tianyu Pang , Kun Xu , Yinpeng Dong , Chao Du , Ning Chen , Jun Zhu