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Transformers excel empirically on tasks that process well-formed inputs according to some grammar, such as natural language and code. However, it remains unclear how they can process grammatical syntax. In fact, under standard complexity…

Machine Learning · Computer Science 2026-02-09 Selim Jerad , Anej Svete , Sophie Hao , Ryan Cotterell , William Merrill

This paper takes a parallel learning approach for robust and transparent AI. A deep neural network is trained in parallel on multiple tasks, where each task is trained only on a subset of the network resources. Each subset consists of…

We introduce refined variants of the Local Learning Coefficient (LLC), a measure of model complexity grounded in singular learning theory, to study the development of internal structure in transformer language models during training. By…

Machine Learning · Computer Science 2024-10-07 George Wang , Jesse Hoogland , Stan van Wingerden , Zach Furman , Daniel Murfet

We present a new training methodology for transformers using a multilevel, layer-parallel approach. Through a neural ODE formulation of transformers, our application of a multilevel parallel-in-time algorithm for the forward and…

Machine Learning · Computer Science 2026-01-27 Shuai Jiang , Marc Salvadó-Benasco , Eric C. Cyr , Alena Kopaničáková , Rolf Krause , Jacob B. Schroder

The rapid progress seen in terms of large-scale generative AI is largely based on the attention mechanism. It is conversely non-trivial to conceive small-scale applications for which attention-based architectures outperform traditional…

Machine Learning · Computer Science 2025-08-07 Claudius Gros

Despite the success of fine-tuning pretrained language encoders like BERT for downstream natural language understanding (NLU) tasks, it is still poorly understood how neural networks change after fine-tuning. In this work, we use centered…

Computation and Language · Computer Science 2021-09-21 Jason Phang , Haokun Liu , Samuel R. Bowman

Attention is a key component of Transformers, which have recently achieved considerable success in natural language processing. Hence, attention is being extensively studied to investigate various linguistic capabilities of Transformers,…

Computation and Language · Computer Science 2020-10-07 Goro Kobayashi , Tatsuki Kuribayashi , Sho Yokoi , Kentaro Inui

Much theoretical work has described the ability of transformers to represent formal languages. However, linking theoretical results to empirical performance is not straightforward due to the complex interplay between the architecture, the…

Computation and Language · Computer Science 2024-10-07 Anej Svete , Nadav Borenstein , Mike Zhou , Isabelle Augenstein , Ryan Cotterell

The capacity of neural networks like the widely adopted transformer is known to be very high. Evidence is emerging that they learn successfully due to inductive bias in the training routine, typically a variant of gradient descent (GD). To…

Machine Learning · Computer Science 2023-03-09 William Merrill , Vivek Ramanujan , Yoav Goldberg , Roy Schwartz , Noah Smith

Dynamic attention mechanism and global modeling ability make Transformer show strong feature learning ability. In recent years, Transformer has become comparable to CNNs methods in computer vision. This review mainly investigates the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Yuting Yang , Licheng Jiao , Xu Liu , Fang Liu , Shuyuan Yang , Zhixi Feng , Xu Tang

Large language models (LLMs) often exhibit abrupt emergent behavior, whereby new abilities arise at certain points during their training. This phenomenon, commonly referred to as a ''phase transition'', remains poorly understood. In this…

Computation and Language · Computer Science 2025-04-01 Yuko Nakagi , Keigo Tada , Sota Yoshino , Shinji Nishimoto , Yu Takagi

Chain-of-Thought (CoT) is an efficient prompting method that enables the reasoning ability of large language models by augmenting the query using multiple examples with multiple intermediate steps. Despite the empirical success, the…

Machine Learning · Computer Science 2025-05-27 Hongkang Li , Songtao Lu , Pin-Yu Chen , Xiaodong Cui , Meng Wang

Large Language Models (LLMs) have shown remarkable performance in various basic natural language tasks. For completing the complex task, we still need a plan for the task to guide LLMs to generate the specific solutions step by step. LLMs…

Computation and Language · Computer Science 2023-12-14 Yiduo Guo , Yaobo Liang , Chenfei Wu , Wenshan Wu , Dongyan Zhao , Nan Duan

Large language models (LLMs) are powerful models that can learn concepts at the inference stage via in-context learning (ICL). While theoretical studies, e.g., \cite{zhang2023trained}, attempt to explain the mechanism of ICL, they assume…

Machine Learning · Computer Science 2024-06-19 Yue Xing , Xiaofeng Lin , Chenheng Xu , Namjoon Suh , Qifan Song , Guang Cheng

In-context learning \ -- performing tasks based on examples given in the prompt \ -- is an important capability that has emerged in large language models and has received significant attention in both theory and practice. Existing…

Machine Learning · Computer Science 2026-05-28 Ruomin Huang , Eshaan Nichani , Jason D. Lee , Rong Ge

While the Self-Attention mechanism in the Transformer model has proven to be effective in many domains, we observe that it is less effective in more diverse settings (e.g. multimodality) due to the varying granularity of each token and the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Wayner Barrios , SouYoung Jin

The transformer has revolutionized modern AI across language, vision, and beyond. It consists of $L$ layers, each running $H$ attention heads in parallel and feeding the combined output to the subsequent layer. In attention, the input…

Computational Complexity · Computer Science 2026-03-13 Barna Saha , Yinzhan Xu , Christopher Ye , Hantao Yu

Attention mechanisms have improved the performance of NLP tasks while allowing models to remain explainable. Self-attention is currently widely used, however interpretability is difficult due to the numerous attention distributions. Recent…

Computation and Language · Computer Science 2020-10-30 Khalil Mrini , Franck Dernoncourt , Quan Tran , Trung Bui , Walter Chang , Ndapa Nakashole

Deep learning yields great results across many fields, from speech recognition, image classification, to translation. But for each problem, getting a deep model to work well involves research into the architecture and a long period of…

Machine Learning · Computer Science 2017-06-19 Lukasz Kaiser , Aidan N. Gomez , Noam Shazeer , Ashish Vaswani , Niki Parmar , Llion Jones , Jakob Uszkoreit

Large language models (LLMs) have made fundamental contributions over the last a few years. To train an LLM, one needs to alternatingly run `forward' computations and `backward' computations. The forward computation can be viewed as…

Machine Learning · Computer Science 2024-02-08 Josh Alman , Zhao Song