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This document provides a brief introduction to the attention mechanism used in modern language models based on the Transformer architecture. We first illustrate how text is encoded as vectors and how the attention mechanism processes these…

Numerical Analysis · Mathematics 2026-04-02 Michel Fabrice Serret

When translating natural language questions into SQL queries to answer questions from a database, we would like our methods to generalize to domains and database schemas outside of the training set. To handle complex questions and database…

Machine Learning · Computer Science 2019-06-28 Richard Shin

The quadratic complexity of attention remains the central bottleneck in long-context inference for large language models. Prior acceleration methods either sparsify the attention map with structured patterns or permanently evict tokens at…

Computation and Language · Computer Science 2026-05-04 Dongwon Jo , Beomseok Kang , Jiwon Song , Jae-Joon Kim

Pre-trained Transformer language models (LM) have become go-to text representation encoders. Prior research fine-tunes deep LMs to encode text sequences such as sentences and passages into single dense vector representations for efficient…

Computation and Language · Computer Science 2021-09-22 Luyu Gao , Jamie Callan

Tabular data, widely used in industries like healthcare, finance, and transportation, presents unique challenges for deep learning due to its heterogeneous nature and lack of spatial structure. This survey reviews the evolution of deep…

Machine Learning · Computer Science 2024-10-17 Shriyank Somvanshi , Subasish Das , Syed Aaqib Javed , Gian Antariksa , Ahmed Hossain

In this paper, we propose the Hierarchical Document Transformer (HDT), a novel sparse Transformer architecture tailored for structured hierarchical documents. Such documents are extremely important in numerous domains, including science,…

Machine Learning · Computer Science 2024-07-12 Haoyu He , Markus Flicke , Jan Buchmann , Iryna Gurevych , Andreas Geiger

Matrix computations are a fundamental building-block of edge computing systems, with a major recent uptick in demand due to their use in AI/ML training and inference procedures. Existing approaches for distributing matrix computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-12 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

Attention layers, as commonly used in transformers, form the backbone of modern deep learning, yet there is no mathematical description of their benefits and deficiencies as compared with other architectures. In this work we establish both…

Machine Learning · Computer Science 2023-11-17 Clayton Sanford , Daniel Hsu , Matus Telgarsky

Recent studies have revealed various manifestations of position bias in transformer architectures, from the "lost-in-the-middle" phenomenon to attention sinks, yet a comprehensive theoretical understanding of how attention masks and…

Machine Learning · Computer Science 2025-08-12 Xinyi Wu , Yifei Wang , Stefanie Jegelka , Ali Jadbabaie

Transformers, adapted from natural language processing, are emerging as a leading approach for graph representation learning. Contemporary graph transformers often treat nodes or edges as separate tokens. This approach leads to…

Machine Learning · Computer Science 2023-10-04 Zihan Pengmei , Zimu Li , Chih-chan Tien , Risi Kondor , Aaron R. Dinner

Effective analysis of tabular data still poses a significant problem in deep learning, mainly because features in tabular datasets are often heterogeneous and have different levels of relevance. This work introduces TabSeq, a novel…

Machine Learning · Computer Science 2024-10-22 Al Zadid Sultan Bin Habib , Kesheng Wang , Mary-Anne Hartley , Gianfranco Doretto , Donald A. Adjeroh

Structured data, prevalent in tables, databases, and knowledge graphs, poses a significant challenge in its representation. With the advent of large language models (LLMs), there has been a shift towards linearization-based methods, which…

Computation and Language · Computer Science 2024-04-04 Yutong Shao , Ndapa Nakashole

Image inpainting has made significant advances in recent years. However, it is still challenging to recover corrupted images with both vivid textures and reasonable structures. Some specific methods only tackle regular textures while losing…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Qiaole Dong , Chenjie Cao , Yanwei Fu

Generative modeling for tabular data has recently gained significant attention in the Deep Learning domain. Its objective is to estimate the underlying distribution of the data. However, estimating the underlying distribution of tabular…

Machine Learning · Computer Science 2024-12-10 Aníbal Silva , André Restivo , Moisés Santos , Carlos Soares

Most approaches for semantic segmentation use only information from color cameras to parse the scenes, yet recent advancements show that using depth data allows to further improve performances. In this work, we focus on transformer-based…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Francesco Barbato , Giulia Rizzoli , Pietro Zanuttigh

Transformer has become ubiquitous in the deep learning field. One of the key ingredients that destined its success is the self-attention mechanism, which allows fully-connected contextual encoding over input tokens. However, despite its…

Computation and Language · Computer Science 2021-06-08 Shuohang Wang , Luowei Zhou , Zhe Gan , Yen-Chun Chen , Yuwei Fang , Siqi Sun , Yu Cheng , Jingjing Liu

While sparse coding-based clustering methods have shown to be successful, their bottlenecks in both efficiency and scalability limit the practical usage. In recent years, deep learning has been proved to be a highly effective, efficient and…

Machine Learning · Computer Science 2015-10-19 Zhangyang Wang , Shiyu Chang , Jiayu Zhou , Meng Wang , Thomas S. Huang

Tabular data is ubiquitous in many real-life systems. In particular, time-dependent tabular data, where rows are chronologically related, is typically used for recording historical events, e.g., financial transactions, healthcare records,…

Machine Learning · Computer Science 2024-08-05 Raphael Azorin , Zied Ben Houidi , Massimo Gallo , Alessandro Finamore , Pietro Michiardi

We propose a novel high-performance and interpretable canonical deep tabular data learning architecture, TabNet. TabNet uses sequential attention to choose which features to reason from at each decision step, enabling interpretability and…

Machine Learning · Computer Science 2020-12-10 Sercan O. Arik , Tomas Pfister

Token representations in high-dimensional latent spaces often exhibit redundancy, limiting computational efficiency and reducing structural coherence across model layers. Hierarchical latent space folding introduces a structured…

Computation and Language · Computer Science 2025-08-11 Fenella Harcourt , Naderdel Piero , Gilbert Sutherland , Daphne Holloway , Harriet Bracknell , Julian Ormsby