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This paper investigates the information encoded in the embeddings of large language models (LLMs). We conduct simulations to analyze the representation entropy and discover a power law relationship with model sizes. Building upon this…

Machine Learning · Computer Science 2024-02-07 Zhiquan Tan , Chenghai Li , Weiran Huang

In this work, we demonstrate that reliable stochastic sampling is a fundamental yet unfulfilled requirement for Large Language Models (LLMs) operating as agents. Agentic systems are frequently required to sample from distributions, often…

Computation and Language · Computer Science 2026-04-09 Xiangming Gu , Soham De , Michalis Titsias , Larisa Markeeva , Petar Veličković , Razvan Pascanu

Although large language models (LLMs) are becoming increasingly capable of solving challenging real-world tasks, accurately quantifying their uncertainty remains a critical open problem--one that limits their applicability in high-stakes…

We propose a method that represents language models by log-likelihood vectors over prompt-response pairs and constructs model maps for comparing their conditional distributions. In this space, distances between models approximate the KL…

Computation and Language · Computer Science 2026-03-20 Yusuke Takase , Momose Oyama , Hidetoshi Shimodaira

The relationship between communicated language and intended meaning is often probabilistic and sensitive to context. Numerous strategies attempt to estimate such a mapping, often leveraging recursive Bayesian models of communication. In…

Computation and Language · Computer Science 2023-05-03 Benjamin Lipkin , Lionel Wong , Gabriel Grand , Joshua B Tenenbaum

Autoregressive Large Language Models (LLMs) trained for next-word prediction have demonstrated remarkable proficiency at producing coherent text. But are they equally adept at forming coherent probability judgments? We use probabilistic…

Computation and Language · Computer Science 2025-05-07 Jian-Qiao Zhu , Thomas L. Griffiths

In large language models (LLMs), each block operates on the residual stream to map input token sequences to output token distributions. However, most of the interpretability literature focuses on internal latent representations, leaving…

Machine Learning · Computer Science 2026-02-03 Riccardo Ali , Francesco Caso , Christopher Irwin , Pietro Liò

Large Language Models (LLMs) demonstrate strong few-shot generalization through in-context learning, yet their reasoning in dynamic and stochastic environments remains opaque. Prior studies mainly focus on static tasks and overlook the…

Artificial Intelligence · Computer Science 2025-12-23 Jensen Zhang , Jing Yang , Keze Wang

Large language models (LLMs) exhibit probabilistic output characteristics, yet conventional evaluation frameworks rely on deterministic scalar metrics. This study introduces a Bayesian approach for LLM capability assessment that integrates…

Computation and Language · Computer Science 2025-05-01 Xiao Xiao , Yu Su , Sijing Zhang , Zhang Chen , Yadong Chen , Tian Liu

Large language models (LLMs) have been recently leveraged as training data generators for various natural language processing (NLP) tasks. While previous research has explored different approaches to training models using generated data,…

Computation and Language · Computer Science 2023-10-19 Yue Yu , Yuchen Zhuang , Jieyu Zhang , Yu Meng , Alexander Ratner , Ranjay Krishna , Jiaming Shen , Chao Zhang

With the rapid advancement of large language models (LLMs) for handling complex language tasks, an increasing number of studies are employing LLMs as agents to emulate the sequential decision-making processes of humans often represented as…

Computation and Language · Computer Science 2024-12-19 Jia Gu , Liang Pang , Huawei Shen , Xueqi Cheng

Large Language Models (LLMs) have demonstrated remarkable capabilities across various applications, fundamentally reshaping the landscape of natural language processing (NLP) research. However, recent evaluation frameworks often rely on the…

Computation and Language · Computer Science 2024-07-10 Chenyang Lyu , Minghao Wu , Alham Fikri Aji

Tokenization is a necessary component within the current architecture of many language mod-els, including the transformer-based large language models (LLMs) of Generative AI, yet its impact on the model's cognition is often overlooked. We…

Language models are essentially probability distributions over token sequences. Auto-regressive models generate sentences by iteratively computing and sampling from the distribution of the next token. This iterative sampling introduces…

Computation and Language · Computer Science 2025-06-13 Andrea Yaoyun Cui , Pengfei Yu

The execution of Large Language Models (LLMs) has been shown to produce nondeterministic results when run on Graphics Processing Units (GPUs), even when they are configured to produce deterministic results. This is due to the finite…

Artificial Intelligence · Computer Science 2026-01-13 Tairan Fu , Gonzalo Martínez , Javier Conde , Carlos Arriaga , Pedro Reviriego , Xiuyuan Qi , Shanshan Liu

Large language models (LLMs) are increasingly used as agents that interact with users and with the world. To do so successfully, LLMs must construct representations of the world and form probabilistic beliefs about them. To provide…

Computation and Language · Computer Science 2026-01-16 Linlu Qiu , Fei Sha , Kelsey Allen , Yoon Kim , Tal Linzen , Sjoerd van Steenkiste

The emergence of large language models (LLMs) has opened up exciting possibilities for simulating human behavior and cognitive processes, with potential applications in various domains, including marketing research and consumer behavior…

Computation and Language · Computer Science 2024-11-13 Behnam Mohammadi

Training large language models (LLMs) from scratch can yield models with unique functionalities and strengths, but it is costly and often leads to redundant capabilities. A more cost-effective alternative is to fuse existing pre-trained…

Computation and Language · Computer Science 2025-09-23 Runjia Zeng , James Chenhao Liang , Cheng Han , Zhiwen Cao , Jiahao Liu , Xiaojun Quan , Yingjie Victor Chen , Lifu Huang , Tong Geng , Qifan Wang , Dongfang Liu

Language models trained on large text corpora encode rich distributional information about real-world environments and action sequences. This information plays a crucial role in current approaches to language processing tasks like question…

Machine Learning · Computer Science 2023-02-07 Belinda Z. Li , William Chen , Pratyusha Sharma , Jacob Andreas

Ensuring the reliability and verifiability of large language model (LLM)-enabled systems remains a significant challenge in software engineering. We propose a probabilistic framework for systematically analyzing and improving these systems…

Software Engineering · Computer Science 2025-04-15 Juan Manuel Baldonado , Flavia Bonomo-Braberman , Víctor Adrián Braberman