English
Related papers

Related papers: Large Language Models: A Mathematical Formulation

200 papers

Speech understanding is essential for interpreting the diverse forms of information embedded in spoken language, including linguistic, paralinguistic, and non-linguistic cues that are vital for effective human-computer interaction. The…

Audio and Speech Processing · Electrical Eng. & Systems 2025-12-08 Jing Peng , Yucheng Wang , Bohan Li , Yiwei Guo , Hankun Wang , Yangui Fang , Yu Xi , Haoyu Li , Xu Li , Ke Zhang , Shuai Wang , Kai Yu

Advances in the general capabilities of large language models (LLMs) have led to their use for information retrieval, and as components in automated decision systems. A faithful representation of probabilistic reasoning in these models may…

Artificial Intelligence · Computer Science 2025-04-21 Gabriel Freedman , Francesca Toni

This paper introduces a novel Bayesian learning model to explain the behavior of Large Language Models (LLMs), focusing on their core optimization metric of next token prediction. We develop a theoretical framework based on an ideal…

Machine Learning · Computer Science 2024-09-25 Siddhartha Dalal , Vishal Misra

Large Language Models (LLMs) are a powerful tool for statistical text analysis, with derived sequences of next-token probability distributions offering a wealth of information. Extracting this signal typically relies on metrics such as…

Large language models (LLMs) and transformer-based architectures are increasingly utilized for source code analysis. As software systems grow in complexity, integrating LLMs into code analysis workflows becomes essential for enhancing…

Software Engineering · Computer Science 2025-03-25 Hamed Jelodar , Mohammad Meymani , Roozbeh Razavi-Far

Machine learning practitioners often face significant challenges in formally integrating their prior knowledge and beliefs into predictive models, limiting the potential for nuanced and context-aware analyses. Moreover, the expertise needed…

Machine Learning · Statistics 2024-12-23 James Requeima , John Bronskill , Dami Choi , Richard E. Turner , David Duvenaud

Large Language Models (LLMs) have garnered considerable interest due to their impressive natural language capabilities, which in conjunction with various emergent properties make them versatile tools in workflows ranging from complex code…

Materials Science · Physics 2024-10-22 Ge Lei , Ronan Docherty , Samuel J. Cooper

Large Language Models (LLMs) have demonstrated remarkable capabilities in handling long texts and have almost perfect performance in traditional retrieval tasks. However, their performance significantly degrades when it comes to numerical…

Computation and Language · Computer Science 2024-12-05 Yijiong Yu

With the development of artificial intelligence (AI), large language models (LLM) are widely used in many fields. However, the reasoning ability of LLM is still very limited when it comes to mathematical reasoning. Mathematics plays an…

Computation and Language · Computer Science 2024-08-06 Wenbei Xie , Donglin Liu , Haoran Yan , Wenjie Wu , Zongyang Liu

We claim that LLMs can be paired with formal analysis methods to provide accessible, relevant feedback for HRI tasks. While logic specifications are useful for defining and assessing a task, these representations are not easily interpreted…

Robotics · Computer Science 2024-05-28 Emily Jensen , Sriram Sankaranarayanan , Bradley Hayes

Algorithm selection, a critical process of automated machine learning, aims to identify the most suitable algorithm for solving a specific problem prior to execution. Mainstream algorithm selection techniques heavily rely on problem…

Machine Learning · Computer Science 2024-05-17 Xingyu Wu , Yan Zhong , Jibin Wu , Bingbing Jiang , Kay Chen Tan

Large multimodal models (LMMs) combine unimodal encoders and large language models (LLMs) to perform multimodal tasks. Despite recent advancements towards the interpretability of these models, understanding internal representations of LMMs…

Machine Learning · Computer Science 2024-12-03 Jayneel Parekh , Pegah Khayatan , Mustafa Shukor , Alasdair Newson , Matthieu Cord

Many applications of large language models (LLMs) require long-context understanding, but models continue to struggle with such tasks. We hypothesize that conventional next-token prediction training could contribute to this, because each…

Computation and Language · Computer Science 2025-03-13 Falko Helm , Nico Daheim , Iryna Gurevych

Due to the remarkable language understanding and generation abilities of large language models (LLMs), their use in educational applications has been explored. However, little work has been done on investigating the pedagogical ability of…

Computation and Language · Computer Science 2023-10-23 An-Zi Yen , Wei-Ling Hsu

In recent years, there has been remarkable progress in leveraging Language Models (LMs), encompassing Pre-trained Language Models (PLMs) and Large-scale Language Models (LLMs), within the domain of mathematics. This paper conducts a…

Computation and Language · Computer Science 2025-01-03 Wentao Liu , Hanglei Hu , Jie Zhou , Yuyang Ding , Junsong Li , Jiayi Zeng , Mengliang He , Qin Chen , Bo Jiang , Aimin Zhou , Liang He

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Optimizing training performance in large language models (LLMs) remains an essential challenge, particularly in improving model performance while maintaining computational costs. This work challenges the conventional approach of training…

Computation and Language · Computer Science 2025-11-04 Chun-Hao Yang , Bo-Han Feng , Tzu-Yuan Lai , Yan Yu Chen , Yin-Kai Dean Huang , Shou-De Lin

Modern Artificial Intelligence applications show great potential for language-related tasks that rely on next-word prediction. The current generation of Large Language Models (LLMs) have been linked to claims about human-like linguistic…

Computation and Language · Computer Science 2024-09-05 Evelina Leivada , Gary Marcus , Fritz Günther , Elliot Murphy

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Large language models (LLMs) have ushered in a new era for processing complex information in various fields, including science. The increasing amount of scientific literature allows these models to acquire and understand scientific…

Computation and Language · Computer Science 2024-08-21 Huy Quoc To , Ming Liu , Guangyan Huang