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Since the success of GPT, large language models (LLMs) have been revolutionizing machine learning and have initiated the so-called LLM prompting paradigm. In the era of LLMs, people train a single general-purpose LLM and provide the LLM…

Machine Learning · Computer Science 2025-02-24 Ruizhong Qiu , Zhe Xu , Wenxuan Bao , Hanghang Tong

Artificial intelligence is making spectacular progress, and one of the best examples is the development of large language models (LLMs) such as OpenAI's GPT series. In these lectures, written for readers with a background in mathematics or…

Computation and Language · Computer Science 2023-10-09 Michael R. Douglas

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

The field of neural machine translation (NMT) has changed with the advent of large language models (LLMs). Much of the recent emphasis in natural language processing (NLP) has been on modeling machine translation and many other problems…

Computation and Language · Computer Science 2025-06-03 Yingfeng Luo , Tong Zheng , Yongyu Mu , Bei Li , Qinghong Zhang , Yongqi Gao , Ziqiang Xu , Peinan Feng , Xiaoqian Liu , Tong Xiao , Jingbo Zhu

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

Large Language Models (LLMs) are becoming increasingly popular in pervasive computing due to their versatility and strong performance. However, despite their ubiquitous use, the exact mechanisms underlying their outstanding performance…

Computation and Language · Computer Science 2026-02-02 Alhassan Abdelhalim , Janick Edinger , Sören Laue , Michaela Regneri

Transformers have supplanted recurrent models in a large number of NLP tasks. However, the differences in their abilities to model different syntactic properties remain largely unknown. Past works suggest that LSTMs generalize very well on…

Computation and Language · Computer Science 2020-10-09 Satwik Bhattamishra , Kabir Ahuja , Navin Goyal

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training…

Machine Learning · Statistics 2026-03-18 Nuri Mert Vural , Alberto Bietti , Mahdi Soltanolkotabi , Denny Wu

Alternatives to recurrent neural networks, in particular, architectures based on attention or convolutions, have been gaining momentum for processing input sequences. In spite of their relevance, the computational properties of these…

Machine Learning · Computer Science 2019-01-14 Jorge Pérez , Javier Marinković , Pablo Barceló

In the rapidly evolving landscape of genomics, deep learning has emerged as a useful tool for tackling complex computational challenges. This review focuses on the transformative role of Large Language Models (LLMs), which are mostly based…

Transformers are being used extensively across several sequence modeling tasks. Significant research effort has been devoted to experimentally probe the inner workings of Transformers. However, our conceptual and theoretical understanding…

Machine Learning · Computer Science 2020-10-13 Satwik Bhattamishra , Arkil Patel , Navin Goyal

Transformer is the state-of-the-art model in recent machine translation evaluations. Two strands of research are promising to improve models of this kind: the first uses wide networks (a.k.a. Transformer-Big) and has been the de facto…

Computation and Language · Computer Science 2019-06-06 Qiang Wang , Bei Li , Tong Xiao , Jingbo Zhu , Changliang Li , Derek F. Wong , Lidia S. Chao

Transformer-based language models (LMs) have achieved widespread empirical success, but their theoretical expressive power remains only partially understood. In this work, we analyze a restricted idealization of fixed-precision transformers…

Computation and Language · Computer Science 2025-12-04 Jiaoda Li , Ryan Cotterell

Existing work has analyzed the representational capacity of the transformer architecture by means of formal models of computation. However, the focus so far has been on analyzing the architecture in terms of language \emph{acceptance}. We…

Computation and Language · Computer Science 2024-06-21 Anej Svete , Ryan Cotterell

Large-scale Transformer models have significantly promoted the recent development of natural language processing applications. However, little effort has been made to unify the effective models. In this paper, driven by providing a new set…

Computation and Language · Computer Science 2022-04-12 Dezhou Shen

Large Language Models (LLMs) have delivered impressive results in language understanding, generation, reasoning, and pushes the ability boundary of multimodal models. Transformer models, as the foundation of modern LLMs, offer a strong…

Computation and Language · Computer Science 2025-08-14 Weigao Sun , Jiaxi Hu , Yucheng Zhou , Jusen Du , Disen Lan , Kexin Wang , Tong Zhu , Xiaoye Qu , Yu Zhang , Xiaoyu Mo , Daizong Liu , Yuxuan Liang , Wenliang Chen , Guoqi Li , Yu Cheng

Large language models (LLMs) have demonstrated impressive capabilities in natural language processing. However, their internal mechanisms are still unclear and this lack of transparency poses unwanted risks for downstream applications.…

Computation and Language · Computer Science 2023-11-30 Haiyan Zhao , Hanjie Chen , Fan Yang , Ninghao Liu , Huiqi Deng , Hengyi Cai , Shuaiqiang Wang , Dawei Yin , Mengnan Du

Transformer-based large language models (LLMs) have displayed remarkable creative prowess and emergence capabilities. Existing empirical studies have revealed a strong connection between these LLMs' impressive emergence abilities and their…

Machine Learning · Computer Science 2025-08-14 Dake Bu , Wei Huang , Andi Han , Atsushi Nitanda , Taiji Suzuki , Qingfu Zhang , Hau-San Wong

Transformers have dominated empirical machine learning models of natural language processing. In this paper, we introduce basic concepts of Transformers and present key techniques that form the recent advances of these models. This includes…

Computation and Language · Computer Science 2023-11-30 Tong Xiao , Jingbo Zhu

Large Language Models (LLMs) have been transformative. They are pre-trained foundational models that are self-supervised and can be adapted with fine tuning to a wide range of natural language tasks, each of which previously would have…

Computation and Language · Computer Science 2023-02-22 Terrence Sejnowski
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