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Softmax is the most commonly used output function for multiclass problems and is widely used in areas such as vision, natural language processing, and recommendation. A softmax model has linear costs in the number of classes which makes it…

机器学习 · 计算机科学 2018-08-03 Guy Blanc , Steffen Rendle

SoftMax is a ubiquitous ingredient of modern machine learning algorithms. It maps an input vector onto a probability simplex and reweights the input by concentrating the probability mass at large entries. Yet, as a smooth approximation to…

机器学习 · 计算机科学 2025-01-09 Yuxuan Zhou , Mario Fritz , Margret Keuper

The softmax function is widely used in artificial neural networks for the multiclass classification problems, where the softmax transformation enforces the output to be positive and sum to one, and the corresponding loss function allows to…

机器学习 · 计算机科学 2021-12-24 Shaoshi Sun , Zhenyuan Zhang , BoCheng Huang , Pengbin Lei , Jianlin Su , Shengfeng Pan , Jiarun Cao

The computational cost of training with softmax cross entropy loss grows linearly with the number of classes. For the settings where a large number of classes are involved, a common method to speed up training is to sample a subset of…

机器学习 · 计算机科学 2020-01-01 Ankit Singh Rawat , Jiecao Chen , Felix Yu , Ananda Theertha Suresh , Sanjiv Kumar

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

Softmax classifiers with a very large number of classes naturally occur in many applications such as natural language processing and information retrieval. The calculation of full softmax is costly from the computational and energy…

Replicated Softmax model, a well-known undirected topic model, is powerful in extracting semantic representations of documents. Traditional learning strategies such as Contrastive Divergence are very inefficient. This paper provides a novel…

机器学习 · 计算机科学 2015-06-25 Jiatao Gu , Victor O. K. Li

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

Training a classifier over a large number of classes, known as 'extreme classification', has become a topic of major interest with applications in technology, science, and e-commerce. Traditional softmax regression induces a gradient cost…

机器学习 · 统计学 2020-02-18 Robert Bamler , Stephan Mandt

Deep classifiers have achieved great success in visual recognition. However, real-world data is long-tailed by nature, leading to the mismatch between training and testing distributions. In this paper, we show that the Softmax function,…

机器学习 · 计算机科学 2020-11-24 Jiawei Ren , Cunjun Yu , Shunan Sheng , Xiao Ma , Haiyu Zhao , Shuai Yi , Hongsheng Li

We study the tradeoff between computational effort and classification accuracy in a cascade of deep neural networks. During inference, the user sets the acceptable accuracy degradation which then automatically determines confidence…

机器学习 · 计算机科学 2020-11-12 Konstantin Berestizshevsky , Guy Even

Large language models (LLMs) have made transformed changes for human society. One of the key computation in LLMs is the softmax unit. This operation is important in LLMs because it allows the model to generate a distribution over possible…

机器学习 · 计算机科学 2023-04-27 Yichuan Deng , Zhihang Li , Zhao Song

This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as…

机器学习 · 计算机科学 2012-07-03 Armand Joulin , Francis Bach

To mitigate the problem of having to traverse over the full vocabulary in the softmax normalization of a neural language model, sampling-based training criteria are proposed and investigated in the context of large vocabulary word-based…

计算与语言 · 计算机科学 2022-06-20 Zijian Yang , Yingbo Gao , Alexander Gerstenberger , Jintao Jiang , Ralf Schlüter , Hermann Ney

Computations for the softmax function are significantly expensive when the number of output classes is large. In this paper, we present a novel softmax inference speedup method, Doubly Sparse Softmax (DS-Softmax), that leverages sparse…

机器学习 · 计算机科学 2019-07-04 Shun Liao , Ting Chen , Tian Lin , Denny Zhou , Chong Wang

We propose simple active sampling and reweighting strategies for optimizing min-max fairness that can be applied to any classification or regression model learned via loss minimization. The key intuition behind our approach is to use at…

In classification tasks, softmax functions are ubiquitously used as output activations to produce predictive probabilities. Such outputs only capture aleatoric uncertainty. To capture epistemic uncertainty, approximate Gaussian inference…

机器学习 · 计算机科学 2026-02-12 Bálint Mucsányi , Nathaël Da Costa , Philipp Hennig

Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have become promising approaches to improve the quality of uncertainty estimation and robust generalization. However, they suffer from a large model size and high latency…

机器学习 · 计算机科学 2024-05-29 Ha Manh Bui , Anqi Liu

Decentralized learning recently has received increasing attention in machine learning due to its advantages in implementation simplicity and system robustness, data privacy. Meanwhile, the adaptive gradient methods show superior…

机器学习 · 计算机科学 2024-08-20 Feihu Huang , Jianyu Zhao

In recent years, a certain type of problems have become of interest where one wants to query a trained classifier. Specifically, one wants to find the closest instance to a given input instance such that the classifier's predicted label is…

机器学习 · 计算机科学 2026-03-20 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada
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