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Softmax is the de facto standard in modern neural networks for language processing when it comes to normalizing logits. However, by producing a dense probability distribution each token in the vocabulary has a nonzero chance of being…

计算与语言 · 计算机科学 2022-05-20 Maxat Tezekbayev , Vassilina Nikoulina , Matthias Gallé , Zhenisbek Assylbekov

Training neural network models with discrete (categorical or structured) latent variables can be computationally challenging, due to the need for marginalization over large or combinatorial sets. To circumvent this issue, one typically…

机器学习 · 计算机科学 2020-12-29 Gonçalo M. Correia , Vlad Niculae , Wilker Aziz , André F. T. Martins

Real-world problems are often dependent on multiple data modalities, making multimodal fusion essential for leveraging diverse information sources. In high-stakes domains, such as in healthcare, understanding how each modality contributes…

神经与进化计算 · 计算机科学 2025-05-19 Mafalda Malafaia , Thalea Schlender , Tanja Alderliesten , Peter A. N. Bosman

Large transformer models have achieved state-of-the-art results in numerous natural language processing tasks. Among the pivotal components of the transformer architecture, the attention mechanism plays a crucial role in capturing token…

计算与语言 · 计算机科学 2026-03-16 Yichuan Deng , Zhao Song , Kaijun Yuan , Tianyi Zhou

In NMT, words are sometimes dropped from the source or generated repeatedly in the translation. We explore novel strategies to address the coverage problem that change only the attention transformation. Our approach allocates fertilities to…

计算与语言 · 计算机科学 2018-05-23 Chaitanya Malaviya , Pedro Ferreira , André F. T. Martins

Diffusion models learn to reverse the progressive noising of a data distribution to create a generative model. However, the desired continuous nature of the noising process can be at odds with discrete data. To deal with this tension…

机器学习 · 计算机科学 2023-09-13 Griffin Floto , Thorsteinn Jonsson , Mihai Nica , Scott Sanner , Eric Zhengyu Zhu

In this paper, we introduce a threshold-based framework for multiclass classification that generalizes the standard argmax rule. This is done by replacing the probabilistic interpretation of softmax outputs with a geometric one on the…

机器学习 · 计算机科学 2025-12-02 Francesco Marchetti , Edoardo Legnaro , Sabrina Guastavino

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

Multimodal classification is a core task in human-centric machine learning. We observe that information is highly complementary across modalities, thus unimodal information can be drastically sparsified prior to multimodal fusion without…

计算机视觉与模式识别 · 计算机科学 2021-11-29 Yi Ding , Alex Rich , Mason Wang , Noah Stier , Matthew Turk , Pradeep Sen , Tobias Höllerer

While transformer models exhibit strong in-context learning (ICL) abilities, they often fail to generalize under simple distribution shifts. We analyze these failures and identify Softmax, the scoring function in the attention mechanism, as…

计算与语言 · 计算机科学 2026-05-12 Omar Naim , Swarnadeep Bhar , Jérôme Bolte , Nicholas Asher

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

This paper introduces a continual learning approach named MagMax, which utilizes model merging to enable large pre-trained models to continuously learn from new data without forgetting previously acquired knowledge. Distinct from…

机器学习 · 计算机科学 2024-07-31 Daniel Marczak , Bartłomiej Twardowski , Tomasz Trzciński , Sebastian Cygert

This paper introduces and evaluates two novel Hierarchical Attention Network models [Yang et al., 2016] - i) Hierarchical Pruned Attention Networks, which remove the irrelevant words and sentences from the classification process in order to…

计算与语言 · 计算机科学 2020-04-10 João G. Ribeiro , Frederico S. Felisberto , Isabel C. Neto

Softmax attention is a central component of transformer architectures, yet its nonlinear structure poses significant challenges for theoretical analysis. We develop a unified, measure-based framework for studying single-layer softmax…

机器学习 · 计算机科学 2025-12-15 Etienne Boursier , Claire Boyer

Transformer-based architectures traditionally employ softmax to compute attention weights, which produces dense distributions over all tokens in a sequence. While effective in many settings, this density has been shown to be detrimental for…

计算与语言 · 计算机科学 2026-03-03 Pavlo Vasylenko , Hugo Pitorro , André F. T. Martins , Marcos Treviso

At the core of the popular Transformer architecture is the self-attention mechanism, which dynamically assigns softmax weights to each input token so that the model can focus on the most salient information. However, the softmax structure…

机器学习 · 计算机科学 2025-05-27 Fanqi Yan , Huy Nguyen , Pedram Akbarian , Nhat Ho , Alessandro Rinaldo

Learning distributed representations, or embeddings, that encode the relational similarity patterns among objects is a relevant task in machine learning. A popular method to learn the embedding matrices $X, Y$ is optimizing a loss function…

机器学习 · 计算机科学 2025-06-03 Lorenzo Dall'Amico , Enrico Maria Belliardo

The computational cost of softmax-based attention in transformers limits their applicability to long-context tasks. Adaptive sparsity, of which $\alpha$-entmax attention is an example, offers a flexible data-dependent alternative, but…

计算与语言 · 计算机科学 2025-06-10 Nuno Gonçalves , Marcos Treviso , André F. T. Martins

Neural text generation models are likely to suffer from the low-diversity problem. Various decoding strategies and training-based methods have been proposed to promote diversity only by exploiting contextual features, but rarely do they…

计算与语言 · 计算机科学 2022-09-13 Zhixian Yang , Pengxuan Xu , Xiaojun Wan

Multi-head attention enables transformer models to represent multiple attention patterns simultaneously. Empirically, head specialization emerges in distinct stages during training, while many heads remain redundant and learn similar…

机器学习 · 计算机科学 2026-03-05 M. Sagitova , O. Duranthon , L. Zdeborová