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Transformers trained on natural language data have been shown to learn its hierarchical structure and generalize to sentences with unseen syntactic structures without explicitly encoding any structural bias. In this work, we investigate…

Computation and Language · Computer Science 2025-03-18 Kabir Ahuja , Vidhisha Balachandran , Madhur Panwar , Tianxing He , Noah A. Smith , Navin Goyal , Yulia Tsvetkov

Gradient-based learning algorithms have an implicit simplicity bias which in effect can limit the diversity of predictors being sampled by the learning procedure. This behavior can hinder the transferability of trained models by (i)…

Machine Learning · Computer Science 2022-11-24 Matteo Pagliardini , Martin Jaggi , François Fleuret , Sai Praneeth Karimireddy

Recent advancements in transformer-based models have initiated research interests in investigating their ability to learn to perform reasoning tasks. However, most of the contexts used for this purpose are in practice very simple: generated…

Computation and Language · Computer Science 2024-04-29 Angelos Poulis , Eleni Tsalapati , Manolis Koubarakis

Transformer-based large language models have remarkable potential to accelerate design optimization for applications such as drug development and materials discovery. Self-supervised pretraining of transformer models requires large-scale…

Machine Learning · Computer Science 2023-10-27 Pei Zhang , Logan Kearney , Debsindhu Bhowmik , Zachary Fox , Amit K. Naskar , John Gounley

Transformer language models have received widespread public attention, yet their generated text is often surprising even to NLP researchers. In this survey, we discuss over 250 recent studies of English language model behavior before…

Computation and Language · Computer Science 2023-08-29 Tyler A. Chang , Benjamin K. Bergen

Recent work suggests that large language models (LLMs) can perform multi-hop reasoning implicitly -- producing correct answers without explicitly verbalizing intermediate steps -- but the underlying mechanisms remain poorly understood. In…

Machine Learning · Computer Science 2025-11-07 Jiaran Ye , Zijun Yao , Zhidian Huang , Liangming Pan , Jinxin Liu , Yushi Bai , Amy Xin , Weichuan Liu , Xiaoyin Che , Lei Hou , Juanzi Li

Transformers, especially the decoder-only variants, are the backbone of most modern large language models; yet we do not have much understanding of their expressive power except for the simple $1$-layer case. Due to the difficulty of…

Machine Learning · Computer Science 2024-12-05 Lijie Chen , Binghui Peng , Hongxun Wu

Although transformer-based models have shown exceptional empirical performance, the fundamental principles governing their training dynamics are inadequately characterized beyond configuration-specific studies. Inspired by empirical…

Machine Learning · Computer Science 2025-10-09 Zheng-An Chen , Tao Luo

Interpretability methods aim to understand the algorithm implemented by a trained model (e.g., a Transofmer) by examining various aspects of the model, such as the weight matrices or the attention patterns. In this work, through a…

Machine Learning · Computer Science 2023-12-05 Kaiyue Wen , Yuchen Li , Bingbin Liu , Andrej Risteski

We conduct a preliminary inquiry into the ability of generative transformer models to deductively reason from premises provided. We observe notable differences in the performance of models coming from different training setups and find that…

Computation and Language · Computer Science 2023-06-05 Peter Belcak , Luca A. Lanzendörfer , Roger Wattenhofer

Transformer-based large language models have displayed impressive in-context learning capabilities, where a pre-trained model can handle new tasks without fine-tuning by simply augmenting the query with some input-output examples from that…

Machine Learning · Computer Science 2024-06-18 Hongkang Li , Meng Wang , Songtao Lu , Xiaodong Cui , Pin-Yu Chen

A majority logic decoder made of unreliable logic gates, whose failures are transient and datadependent, is analyzed. Based on a combinatorial representation of fault configurations a closed-form expression for the average bit error rate…

Information Theory · Computer Science 2015-07-28 Srdan Brkic , Predrag Ivanis , Bane Vasic

Neural networks readily learn a subset of the modular arithmetic tasks, while failing to generalize on the rest. This limitation remains unmoved by the choice of architecture and training strategies. On the other hand, an analytical…

Machine Learning · Computer Science 2024-06-06 Darshil Doshi , Tianyu He , Aritra Das , Andrey Gromov

In the last decade, the generalization and adaptation abilities of deep learning models were typically evaluated on fixed training and test distributions. Contrary to traditional deep learning, large language models (LLMs) are (i) even more…

Computation and Language · Computer Science 2024-10-17 Fırat Öncel , Matthias Bethge , Beyza Ermis , Mirco Ravanelli , Cem Subakan , Çağatay Yıldız

Gradient-based meta-learning methods leverage gradient descent to learn the commonalities among various tasks. While previous such methods have been successful in meta-learning tasks, they resort to simple gradient descent during…

Machine Learning · Statistics 2018-06-15 Yoonho Lee , Seungjin Choi

As transformer-based language models are trained on increasingly large datasets and with vast numbers of parameters, finding more efficient alternatives to the standard Transformer has become very valuable. While many efficient Transformers…

Machine Learning · Computer Science 2024-11-12 Kai Yang , Jan Ackermann , Zhenyu He , Guhao Feng , Bohang Zhang , Yunzhen Feng , Qiwei Ye , Di He , Liwei Wang

Language recognition tasks are fundamental in natural language processing (NLP) and have been widely used to benchmark the performance of large language models (LLMs). These tasks also play a crucial role in explaining the working…

Machine Learning · Computer Science 2025-05-30 Ruiquan Huang , Yingbin Liang , Jing Yang

We explore the theoretical possibility of learning $d$-dimensional targets with $W$-parameter models by gradient flow (GF) when $W<d$. Our main result shows that if the targets are described by a particular $d$-dimensional probability…

Machine Learning · Statistics 2024-11-11 Dmitry Yarotsky

Despite a growing body of work at the intersection of deep learning and formal languages, there has been relatively little systematic exploration of transformer models for reasoning about typed lambda calculi. This is an interesting area of…

Programming Languages · Computer Science 2023-04-21 Brando Miranda , Avi Shinnar , Vasily Pestun , Barry Trager

To understand how well a large language model captures certain semantic or syntactic features, researchers typically apply probing classifiers. However, the accuracy of these classifiers is critical for the correct interpretation of the…

Computation and Language · Computer Science 2023-12-19 Sergey A. Saltykov