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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

The backpropagation algorithm has long been the canonical training method for neural networks. Modern paradigms are implicitly optimized for it, and numerous guidelines exist to ensure its proper use. Recently, synthetic gradients methods…

机器学习 · 统计学 2019-06-12 Julien Launay , Iacopo Poli , Florent Krzakala

We aim to study the modeling limitations of the commonly employed boosted decision trees classifier. Inspired by the success of large, data-hungry visual recognition models (e.g. deep convolutional neural networks), this paper focuses on…

计算机视觉与模式识别 · 计算机科学 2017-01-09 Eshed Ohn-Bar , Mohan M. Trivedi

We introduce AdaAct, a novel optimization algorithm that adjusts learning rates according to activation variance. Our method enhances the stability of neuron outputs by incorporating neuron-wise adaptivity during the training process, which…

机器学习 · 计算机科学 2025-06-11 Hyunseok Seung , Jaewoo Lee , Hyunsuk Ko

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…

机器学习 · 计算机科学 2020-11-24 Kunal Banerjee , Vishak Prasad C , Rishi Raj Gupta , Karthik Vyas , Anushree H , Biswajit Mishra

A key property of reasoning systems is the ability to make sharp decisions on their input data. For contemporary AI systems, a key carrier of sharp behaviour is the softmax function, with its capability to perform differentiable query-key…

机器学习 · 计算机科学 2025-06-03 Petar Veličković , Christos Perivolaropoulos , Federico Barbero , Razvan Pascanu

Performance on the Winograd Schema Challenge (WSC), a respected English commonsense reasoning benchmark, recently rocketed from chance accuracy to 89% on the SuperGLUE leaderboard, with relatively little corroborating evidence of a…

计算与语言 · 计算机科学 2020-10-09 Haokun Liu , William Huang , Dhara A. Mungra , Samuel R. Bowman

Vision transformers (ViTs) have pushed the state-of-the-art for various visual recognition tasks by patch-wise image tokenization followed by self-attention. However, the employment of self-attention modules results in a quadratic…

计算机视觉与模式识别 · 计算机科学 2022-05-03 Jiachen Lu , Jinghan Yao , Junge Zhang , Xiatian Zhu , Hang Xu , Weiguo Gao , Chunjing Xu , Tao Xiang , Li Zhang

The last layer of neural language models (LMs) projects output features of dimension $D$ to logits in dimension $V$, the size of the vocabulary, where usually $D \ll V$. This mismatch is known to raise risks of limited expressivity in…

计算与语言 · 计算机科学 2026-03-12 Nathan Godey , Yoav Artzi

Face recognition has witnessed significant progresses due to the advances of deep convolutional neural networks (CNNs), the central challenge of which, is feature discrimination. To address it, one group tries to exploit mining-based…

计算机视觉与模式识别 · 计算机科学 2019-01-01 Xiaobo Wang , Shuo Wang , Shifeng Zhang , Tianyu Fu , Hailin Shi , Tao Mei

Deep neural networks often suffer from poor performance or even training failure due to the ill-conditioned problem, the vanishing/exploding gradient problem, and the saddle point problem. In this paper, a novel method by acting the…

计算机视觉与模式识别 · 计算机科学 2021-07-12 Mei Liu , Liangming Chen , Xiaohao Du , Long Jin , Mingsheng Shang

Deep feedforward neural networks with piecewise linear activations are currently producing the state-of-the-art results in several public datasets. The combination of deep learning models and piecewise linear activation functions allows for…

计算机视觉与模式识别 · 计算机科学 2015-11-03 Zhibin Liao , Gustavo Carneiro

Deep Learning has become interestingly popular in computer vision, mostly attaining near or above human-level performance in various vision tasks. But recent work has also demonstrated that these deep neural networks are very vulnerable to…

机器学习 · 计算机科学 2020-12-09 Shashi Kant Gupta

Recent seminal work at the intersection of deep neural networks practice and random matrix theory has linked the convergence speed and robustness of these networks with the combination of random weight initialization and nonlinear…

机器学习 · 计算机科学 2019-05-07 Pierre H. Richemond , Yike Guo

We study NAFNet (Nonlinear Activation Free Network), a simple and efficient deep learning baseline for image restoration. By using CIFAR10 images corrupted with noise and blur, we conduct an ablation study of NAFNet's core components. Our…

计算机视觉与模式识别 · 计算机科学 2025-06-25 Vladislav Esaulov , M. Moein Esfahani

This paper questions whether the strong performance of softmax attention in transformers stems from producing a probability distribution over inputs. Instead, we argue that softmax's effectiveness lies in its implicit regularization of the…

机器学习 · 计算机科学 2026-03-16 Hemanth Saratchandran , Jianqiao Zheng , Yiping Ji , Wenbo Zhang , Simon Lucey

We present a method to train self-binarizing neural networks, that is, networks that evolve their weights and activations during training to become binary. To obtain similar binary networks, existing methods rely on the sign activation…

计算机视觉与模式识别 · 计算机科学 2019-02-05 Fayez Lahoud , Radhakrishna Achanta , Pablo Márquez-Neila , Sabine Süsstrunk

Widely adopted in modern Vision Transformer designs, Softmax attention can effectively capture long-range visual information; however, it incurs excessive computational cost when dealing with high-resolution inputs. In contrast, linear…

计算机视觉与模式识别 · 计算机科学 2024-12-10 Dongchen Han , Yifan Pu , Zhuofan Xia , Yizeng Han , Xuran Pan , Xiu Li , Jiwen Lu , Shiji Song , Gao Huang

Gradient boosting still dominates Transformers on tabular benchmarks. Our tokenizer uses a deliberately simplistic discretized vocabulary so we can highlight how even basic tokenization unlocks the power of attention on tabular features,…

机器学习 · 计算机科学 2026-03-10 Yael S. Elmatad

The Softmax function is used in the final layer of nearly all existing sequence-to-sequence models for language generation. However, it is usually the slowest layer to compute which limits the vocabulary size to a subset of most frequent…

计算与语言 · 计算机科学 2019-03-25 Sachin Kumar , Yulia Tsvetkov