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Transformers are neural networks that revolutionized natural language processing and machine learning. They process sequences of inputs, like words, using a mechanism called self-attention, which is trained via masked language modeling…

Disordered Systems and Neural Networks · Physics 2024-04-17 Riccardo Rende , Federica Gerace , Alessandro Laio , Sebastian Goldt

Transformers have established themselves as the leading neural network model in natural language processing and are increasingly foundational in various domains. In vision, the MLP-Mixer model has demonstrated competitive performance,…

Machine Learning · Computer Science 2024-06-19 Ryo Karakida , Toshihiro Ota , Masato Taki

Trained ML models are commonly embedded in optimization problems. In many cases, this leads to large-scale NLPs that are difficult to solve to global optimality. While ML models frequently lead to large problems, they also exhibit…

Optimization and Control · Mathematics 2024-01-17 Artur M. Schweidtmann , Dominik Bongartz , Alexander Mitsos

Transformer-based models have achieved state-of-the-art results in many natural language processing tasks. The self-attention architecture allows transformer to combine information from all elements of a sequence into context-aware…

Computation and Language · Computer Science 2021-02-17 Mikhail S. Burtsev , Yuri Kuratov , Anton Peganov , Grigory V. Sapunov

Machine learning models are increasingly being scaled in both sequence length and model dimension to reach longer contexts and better performance. However, existing architectures such as Transformers scale quadratically along both these…

Transformer architecture has become ubiquitous in the natural language processing field. To interpret the Transformer-based models, their attention patterns have been extensively analyzed. However, the Transformer architecture is not only…

Computation and Language · Computer Science 2021-09-16 Goro Kobayashi , Tatsuki Kuribayashi , Sho Yokoi , Kentaro Inui

Self-supervised Multi-modal Contrastive Learning (SMCL) remarkably advances modern Vision-Language Pre-training (VLP) models by aligning visual and linguistic modalities. Due to noises in web-harvested text-image pairs, however, scaling up…

Machine Learning · Computer Science 2024-02-27 Chaoya Jiang , Wei ye , Haiyang Xu , Qinghao Ye , Ming Yan , Ji Zhang , Shikun Zhang

Transformers excel through content-addressable retrieval and the ability to exploit contexts of, in principle, unbounded length. We recast associative memory at the level of probability measures, treating a context as a distribution over…

Machine Learning · Statistics 2026-02-03 Ryotaro Kawata , Taiji Suzuki

Due to their ability to model meaningful higher order relations among a set of entities, higher order network models have emerged recently as a powerful alternative for graph-based network models which are only capable of modeling binary…

Machine Learning · Computer Science 2023-12-20 Karthikeyan Natesan Ramamurthy , Aldo Guzmán-Sáenz , Mustafa Hajij

This paper studies matrix-valued truncated Toeplitz operators, which are a vectorial generalisation of truncated Toeplitz operators. It is demonstrated that, although there exist matrix-valued truncated Toeplitz operators without a matrix…

Functional Analysis · Mathematics 2022-01-26 Ryan O'Loughlin

Mixup generates augmented samples by linearly interpolating inputs and labels with a controllable ratio. However, since it operates in the latent embedding level, the resulting samples are not human-interpretable. In contrast, LLM-based…

Computation and Language · Computer Science 2026-02-09 Fanshuang Kong , Richong Zhang , Qiyu Sun , Zhijie Nie , Ting Deng , Chunming Hu

Large Language Models (LLMs) have achieved impressive performance across diverse tasks but continue to struggle with learning transitive relations, a cornerstone for complex planning. To address this issue, we investigate the Multi-Token…

Artificial Intelligence · Computer Science 2025-09-30 Qimin Zhong , Hao Liao , Siwei Wang , Mingyang Zhou , Xiaoqun Wu , Rui Mao , Wei Chen

Transformer-based models primarily rely on Next Token Prediction (NTP), which predicts the next token in a sequence based on the preceding context. However, NTP's focus on single-token prediction often limits a model's ability to plan ahead…

Computation and Language · Computer Science 2025-08-12 Charlie Wyatt , Aditya Joshi , Flora Salim

Foundation models, now powering most of the exciting applications in deep learning, are almost universally based on the Transformer architecture and its core attention module. Many subquadratic-time architectures such as linear attention,…

Machine Learning · Computer Science 2024-06-03 Albert Gu , Tri Dao

Large language models (LLMs) are increasingly explored in robot manipulation, but many existing methods struggle to adapt to new environments. Many systems require either environment-specific policy training or depend on fixed prompts and…

In urban computing, precise and swift forecasting of multivariate time series data from traffic networks is crucial. This data incorporates additional spatial contexts such as sensor placements and road network layouts, and exhibits complex…

Machine Learning · Computer Science 2024-12-19 Tongtong Zhang , Zhiyong Cui , Bingzhang Wang , Yilong Ren , Haiyang Yu , Pan Deng , Yinhai Wang

The transformer structure employed in large language models (LLMs), as a specialized category of deep neural networks (DNNs) featuring attention mechanisms, stands out for their ability to identify and highlight the most relevant aspects of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Matin Mortaheb , Erciyes Karakaya , Mohammad A. Amir Khojastepour , Sennur Ulukus

Large language models (LLMs) have achieved state-of-the-art performance in natural language processing; however, their high computational cost remains a major bottleneck. In this study, we target computational efficiency by focusing on a…

Computation and Language · Computer Science 2025-12-30 Takumi Shiratsuchi , Yuichiro Tanaka , Hakaru Tamukoh

Multimodal information retrieval (MMIR) has gained attention for its flexibility in handling text, images, or mixed queries and candidates. Recent breakthroughs in multimodal large language models (MLLMs) boost MMIR performance by…

Information Retrieval · Computer Science 2026-02-27 Dawei Su , Dongsheng Wang

Time series prediction plays a crucial role in various industrial fields. In recent years, neural networks with a transformer backbone have achieved remarkable success in many domains, including computer vision and NLP. In time series…

Machine Learning · Computer Science 2023-10-10 Qingkui Chen , Yiqin Zhang