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Transformers play a central role in the inner workings of large language models. We develop a mathematical framework for analyzing Transformers based on their interpretation as interacting particle systems, which reveals that clusters…

Machine Learning · Computer Science 2025-08-22 Borjan Geshkovski , Cyril Letrouit , Yury Polyanskiy , Philippe Rigollet

Large language models exhibit sophisticated capabilities, yet understanding how they work internally remains a central challenge. A fundamental obstacle is that training selects for behavior, not circuitry, so many weight configurations can…

Machine Learning · Computer Science 2026-02-27 Joshua S. Schiffman

The rapid progress of research aimed at interpreting the inner workings of advanced language models has highlighted a need for contextualizing the insights gained from years of work in this area. This primer provides a concise technical…

Computation and Language · Computer Science 2024-10-15 Javier Ferrando , Gabriele Sarti , Arianna Bisazza , Marta R. Costa-jussà

Inspired by the success of Transformer-based models in natural language processing, this paper investigates their potential as foundation models for network traffic analysis. We propose a unified pre-training and fine-tuning pipeline for…

Networking and Internet Architecture · Computer Science 2026-02-09 Samara Mayhoub , Chuan Heng Foh , Mahdi Boloursaz Mashhadi , Mohammad Shojafar , Rahim Tafazolli

This study evaluates the performance of Recurrent Neural Network (RNN) and Transformer models in replicating cross-language structural priming, a key indicator of abstract grammatical representations in human language processing. Focusing…

Computation and Language · Computer Science 2024-10-17 Demi Zhang , Bushi Xiao , Chao Gao , Sangpil Youm , Bonnie J Dorr

Transformers underlie almost all state-of-the-art language models in computational linguistics, yet their cognitive adequacy as models of human sentence processing remains disputed. In this work, we use a surprisal-based linking mechanism…

Computation and Language · Computer Science 2026-03-18 Titus von der Malsburg , Sebastian Padó

Autoregressive language models, pretrained using large text corpora to do well on next word prediction, have been successful at solving many downstream tasks, even with zero-shot usage. However, there is little theoretical understanding of…

Computation and Language · Computer Science 2021-04-15 Nikunj Saunshi , Sadhika Malladi , Sanjeev Arora

Over the past few years, neural networks have re-emerged as powerful machine-learning models, yielding state-of-the-art results in fields such as image recognition and speech processing. More recently, neural network models started to be…

Computation and Language · Computer Science 2015-10-06 Yoav Goldberg

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

Machine Learning · Computer Science 2021-08-19 Radostin Cholakov , Todor Kolev

Some Transformer-based models can perform cross-lingual transfer learning: those models can be trained on a specific task in one language and give relatively good results on the same task in another language, despite having been pre-trained…

Computation and Language · Computer Science 2022-07-20 Félix Gaschi , François Plesse , Parisa Rastin , Yannick Toussaint

In the era of pre-trained language models, Transformers are the de facto choice of model architectures. While recent research has shown promise in entirely convolutional, or CNN, architectures, they have not been explored using the…

Computation and Language · Computer Science 2022-02-01 Yi Tay , Mostafa Dehghani , Jai Gupta , Dara Bahri , Vamsi Aribandi , Zhen Qin , Donald Metzler

Transformer based models have shown remarkable capabilities in sequence learning across a wide range of tasks, often performing well on specific task by leveraging input-output examples. Despite their empirical success, a comprehensive…

Machine Learning · Computer Science 2025-06-03 Yifan Hao , Chenlu Ye , Chi Han , Tong Zhang

Transformers are the dominant architecture in AI, yet why they work remains poorly understood. This paper offers a precise answer: a transformer is a Bayesian network. We establish this in five ways. First, we prove that every sigmoid…

Artificial Intelligence · Computer Science 2026-03-19 Gregory Coppola

Recent advancements in Large Language Models (LLMs), particularly those built on Transformer architectures, have significantly broadened the scope of natural language processing (NLP) applications, transcending their initial use in chatbot…

Computation and Language · Computer Science 2024-05-29 Chen Wang , Jin Zhao , Jiaqi Gong

In recent times, Transformer-based language models are making quite an impact in the field of natural language processing. As relevant parallels can be drawn between biological sequences and natural languages, the models used in NLP can be…

Computation and Language · Computer Science 2025-12-25 Nimisha Ghosh , Daniele Santoni , Indrajit Saha , Giovanni Felici

The field of machine translation (MT), the automatic translation of written text from one natural language into another, has experienced a major paradigm shift in recent years. Statistical MT, which mainly relies on various count-based…

Computation and Language · Computer Science 2020-10-01 Felix Stahlberg

Transformers have proven highly effective across various applications, especially in handling sequential data such as natural languages and time series. However, transformer models often lack clear interpretability, and the success of…

Machine Learning · Computer Science 2025-12-01 Wei Shi , Yuan Cao

This document aims to be a self-contained, mathematically precise overview of transformer architectures and algorithms (*not* results). It covers what transformers are, how they are trained, what they are used for, their key architectural…

Machine Learning · Computer Science 2022-07-26 Mary Phuong , Marcus Hutter

The advent of transformers has in recent years led to powerful and revolutionary Large Language Models (LLMs). Despite this, our understanding on the capability of transformers is still meager. In this invited contribution, we recount the…

Formal Languages and Automata Theory · Computer Science 2025-09-30 Anthony W. Lin , Pablo Barcelo

Machines have achieved a broad and growing set of linguistic competencies, thanks to recent progress in Natural Language Processing (NLP). Psychologists have shown increasing interest in such models, comparing their output to psychological…

Computation and Language · Computer Science 2021-04-20 Brenden M. Lake , Gregory L. Murphy
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