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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…

Can autoregressive large language models (LLMs) learn consistent probability distributions when trained on sequences in different token orders? We prove formally that for any well-defined probability distribution, sequence perplexity is…

Computation and Language · Computer Science 2025-05-14 Xiaoliang Luo , Xinyi Xu , Michael Ramscar , Bradley C. Love

Attribution theory explains how individuals interpret and attribute others' behavior in a social context by employing personal (dispositional) and impersonal (situational) causality. Large Language Models (LLMs), trained on human-generated…

Computation and Language · Computer Science 2026-03-31 Hossein Salemi , Jitin Krishnan , Hemant Purohit

We study how well large language models (LLMs) explain their generations through rationales -- a set of tokens extracted from the input text that reflect the decision-making process of LLMs. Specifically, we systematically study rationales…

Computation and Language · Computer Science 2024-10-23 Mohsen Fayyaz , Fan Yin , Jiao Sun , Nanyun Peng

Prompt sensitivity, which refers to how strongly the output of a large language model (LLM) depends on the exact wording of its input prompt, raises concerns among users about the LLM's stability and reliability. In this work, we consider…

Computation and Language · Computer Science 2026-04-21 Yang Liu , Chenhui Chu

We conducted three experiments to investigate how large language models (LLMs) evaluate posterior probabilities. Our results reveal the coexistence of two modes in posterior judgment among state-of-the-art models: a normative mode, which…

Artificial Intelligence · Computer Science 2024-12-17 Shenxiong Li , Huaxia Rui

The grammatical knowledge of language models (LMs) is often measured using a benchmark of linguistic minimal pairs, where the LMs are presented with a pair of acceptable and unacceptable sentences and required to judge which is more…

Computation and Language · Computer Science 2025-02-10 Yusuke Ide , Yuto Nishida , Justin Vasselli , Miyu Oba , Yusuke Sakai , Hidetaka Kamigaito , Taro Watanabe

The handling of probabilities in the form of uncertainty or partial information is an essential task for LLMs in many settings and applications. A common approach to evaluate an LLM's probabilistic reasoning capabilities is to assess its…

Artificial Intelligence · Computer Science 2026-02-12 Manuel Mondal , Ljiljana Dolamic , Gérôme Bovet , Philippe Cudré-Mauroux , Julien Audiffren

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) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

Artificial Intelligence · Computer Science 2013-03-26 Gerhard Paass

Three publicly-available LLM specifically designed for legal tasks have been implemented and shown that classification accuracy can benefit from training over legal corpora, but why and how? Here we use two publicly-available legal…

Machine Learning · Computer Science 2025-01-30 Richard K. Belew

It is increasingly important to evaluate how text generation systems based on large language models (LLMs) behave, such as their tendency to produce harmful output or their sensitivity to adversarial inputs. Such evaluations often rely on a…

Computation and Language · Computer Science 2025-11-17 Rachel Longjohn , Shang Wu , Saatvik Kher , Catarina Belém , Padhraic Smyth

Language models (LMs) estimate a probability distribution over strings in a natural language; these distributions are crucial for computing perplexity and surprisal in linguistics research. While we are usually concerned with measuring…

Computation and Language · Computer Science 2024-10-15 Tiago Pimentel , Clara Meister

With the widespread application of Large Language Models (LLMs) in the field of Natural Language Processing (NLP), enhancing their performance has become a research hotspot. This paper presents a novel multi-prompt ensemble decoding…

Computation and Language · Computer Science 2024-12-25 Jiaxin Guo , Daimeng Wei , Yuanchang Luo , Shimin Tao , Hengchao Shang , Zongyao Li , Shaojun Li , Jinlong Yang , Zhanglin Wu , Zhiqiang Rao , Hao Yang

Large Language Models (LLMs) are increasingly expected to handle complex decision-making tasks, yet their ability to perform structured resource allocation remains underexplored. Evaluating their reasoning is also difficult due to data…

Artificial Intelligence · Computer Science 2025-08-11 Sankarshan Damle , Boi Faltings

Large Language Models (LLMs) have recently been successfully applied to regression tasks -- such as time series forecasting and tabular prediction -- by leveraging their in-context learning abilities. However, their autoregressive decoding…

Machine Learning · Computer Science 2026-03-04 Julianna Piskorz , Katarzyna Kobalczyk , Mihaela van der Schaar

The prevailing assumption of an exponential decay in large language model (LLM) reliability with sequence length, predicated on independent per-token error probabilities, posits an inherent limitation for long autoregressive outputs. Our…

Computation and Language · Computer Science 2026-05-07 Mikhail L. Arbuzov , Sisong Bei , Ziwei Dong , Dmitri Kalaev , Alexey A. Shvets

Large language models (LLMs) solve reasoning problems by first generating a rationale and then answering. We formalize reasoning as a latent variable model and derive a reward-based filtered expectation-maximization (FEM) objective for…

Machine Learning · Computer Science 2026-02-03 Junghyun Lee , Branislav Kveton , Anup Rao , Subhojyoti Mukherjee , Ryan A. Rossi , Sunav Choudhary , Alexa Siu

Large language models are increasingly used as computational tools for modeling human-like behavior. We introduce a behavioral induction framework that modifies model policies through fine-tuning on structured decision-making tasks: using…

Computation and Language · Computer Science 2026-05-22 Nicola Milano , Davide Marocco