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Transformers are widely used across various applications, many of which yield sparse or partially filled attention matrices. Examples include attention masks designed to reduce the quadratic complexity of attention, sequence packing…

Machine Learning · Computer Science 2024-09-25 Agniv Sharma , Jonas Geiping

Following the success of dot-product attention in Transformers, numerous approximations have been recently proposed to address its quadratic complexity with respect to the input length. While these variants are memory and compute efficient,…

Computation and Language · Computer Science 2021-06-15 Ankit Gupta , Guy Dar , Shaya Goodman , David Ciprut , Jonathan Berant

Recent work established that rank overparameterization eliminates spurious local minima in nonconvex low-rank matrix recovery under the restricted isometry property (RIP). But this does not fully explain the practical success of…

Optimization and Control · Mathematics 2025-05-07 Richard Y. Zhang

Softmax attention struggles with long contexts due to structural limitations: the strict sum-to-one constraint forces attention sinks on irrelevant tokens, and probability mass disperses as sequence lengths increase. We tackle these…

Machine Learning · Computer Science 2026-04-17 Xingyue Huang , Xueying Ding , Mingxuan Ju , Yozen Liu , Neil Shah , Tong Zhao

The quadratic complexity of self-attention in Transformer models remains a significant bottleneck for processing long sequences and deploying large language models efficiently. For this approach, there has been significant research into…

Computation and Language · Computer Science 2026-05-26 Spandan Pratyush

Semantic segmentation has witnessed tremendous progress due to the proposal of various advanced network architectures. However, they are extremely hungry for delicate annotations to train, and the acquisition is laborious and unaffordable.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Lihe Yang , Xiaogang Xu , Bingyi Kang , Yinghuan Shi , Hengshuang Zhao

Deep pre-trained Transformer models have achieved state-of-the-art results over a variety of natural language processing (NLP) tasks. By learning rich language knowledge with millions of parameters, these models are usually…

Computation and Language · Computer Science 2020-11-10 Zhengyan Zhang , Fanchao Qi , Zhiyuan Liu , Qun Liu , Maosong Sun

The transformer architecture has driven breakthroughs in recent years on tasks which require modeling pairwise relationships between sequential elements, as is the case in natural language understanding. However, long seqeuences pose a…

Computation and Language · Computer Science 2024-03-26 Heejun Lee , Jina Kim , Jeffrey Willette , Sung Ju Hwang

We propose sparsemax, a new activation function similar to the traditional softmax, but able to output sparse probabilities. After deriving its properties, we show how its Jacobian can be efficiently computed, enabling its use in a network…

Computation and Language · Computer Science 2016-02-09 André F. T. Martins , Ramón Fernandez Astudillo

We study how multi-head softmax attention models are trained to perform in-context learning on linear data. Through extensive empirical experiments and rigorous theoretical analysis, we demystify the emergence of elegant attention patterns:…

Machine Learning · Computer Science 2025-05-29 Jianliang He , Xintian Pan , Siyu Chen , Zhuoran Yang

Diffusion Transformers (DiT) have become the de-facto model for generating high-quality visual content like videos and images. A huge bottleneck is the attention mechanism where complexity scales quadratically with resolution and video…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Ruichen Chen , Keith G. Mills , Liyao Jiang , Chao Gao , Di Niu

Transformers allow attention between all pairs of tokens, but there is reason to believe that most of these connections - and their quadratic time and memory - may not be necessary. But which ones? We evaluate the impact of sparsification…

Computation and Language · Computer Science 2022-10-11 Siddhartha Brahma , Polina Zablotskaia , David Mimno

From natural language processing to vision, Scaled Dot Product Attention (SDPA) is the backbone of most modern deep learning applications. Unfortunately, its memory and computational requirements can be prohibitive in low-resource settings.…

Machine Learning · Computer Science 2025-02-18 Peyman Hosseini , Mehran Hosseini , Ignacio Castro , Matthew Purver

Converting an n-dimensional vector to a probability distribution over n objects is a commonly used component in many machine learning tasks like multiclass classification, multilabel classification, attention mechanisms etc. For this,…

While transformer-based Large Language Models (LLMs) theoretically support massive context windows, they suffer from severe performance degradation when processing long numerical sequences. We attribute this failure to the attention…

Computation and Language · Computer Science 2026-04-10 Jie Sun , Yu Liu , Lu Han , Qiwen Deng , Xiang Shu , Yang Xiao , Xingyu Lu , Jun Zhou , Pengfei Liu , Lintao Ma , Jiancan Wu , Xiang Wang

Transformers have been successful in many vision tasks, thanks to their capability of capturing long-range dependency. However, their quadratic computational complexity poses a major obstacle for applying them to vision tasks requiring…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Shitao Tang , Jiahui Zhang , Siyu Zhu , Ping Tan

In recent research, Learned Image Compression has gained prominence for its capacity to outperform traditional handcrafted pipelines, especially at low bit-rates. While existing methods incorporate convolutional priors with occasional…

Image and Video Processing · Electrical Eng. & Systems 2023-10-18 Natacha Luka , Romain Negrel , David Picard

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 report, we introduce Balanced Activation…

Machine Learning · Computer Science 2020-08-26 Jiawei Ren , Cunjun Yu , Zhongang Cai , Haiyu Zhao

An essential component of modern recurrent sequence models is the forget gate. While Transformers do not have an explicit recurrent form, we show that a forget gate can be naturally incorporated into Transformers by down-weighting the…

Machine Learning · Computer Science 2025-04-02 Zhixuan Lin , Evgenii Nikishin , Xu Owen He , Aaron Courville

Attention sink (AS) is a consistent pattern in transformer attention maps where certain tokens (often special tokens or positional anchors) disproportionately attract attention from other tokens. We show that in transformers, AS is not an…

Machine Learning · Computer Science 2025-08-05 Valeria Ruscio , Umberto Nanni , Fabrizio Silvestri
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