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Large language models (LLMs) are susceptible to memorizing training data, raising concerns about the potential extraction of sensitive information at generation time. Discoverable extraction is the most common method for measuring this…

There are two prominent paradigms to the modeling of networks: in the first, referred to as the mechanistic approach, one specifies a set of domain-specific mechanistic rules that are used to grow or evolve the network over time; in the…

Physics and Society · Physics 2020-01-24 Ravi Goyal , JP Onnela

Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt…

Software Engineering · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Qixia Yuan , Jun Pang

The emergence of large language models offers new possibilities for structured exploration of scientific knowledge. Rather than viewing scientific discovery as isolated ideas or content, we propose a structured approach that emphasizes the…

Artificial Intelligence · Computer Science 2025-04-15 Junlan Chen , Kexin Zhang , Daifeng Li , Yangyang Feng , Yuxuan Zhang , Bowen Deng

While recent work has shown that scores from models trained by the ubiquitous masked language modeling (MLM) objective effectively discriminate probable from improbable sequences, it is still an open question if these MLMs specify a…

Machine Learning · Computer Science 2022-03-16 Kartik Goyal , Chris Dyer , Taylor Berg-Kirkpatrick

This paper introduces distribution-based prediction, a novel approach to using Large Language Models (LLMs) as predictive tools by interpreting output token probabilities as distributions representing the models' learned representation of…

Artificial Intelligence · Computer Science 2024-11-07 Caleb Bradshaw , Caelen Miller , Sean Warnick

Large Language Models (LLMs) have emerged as powerful tools for accelerating scientific discovery, yet their static knowledge and hallucination issues hinder autonomous research applications. Recent advances integrate LLMs into agentic…

Artificial Intelligence · Computer Science 2025-12-23 Zeyu Xia , Jinzhe Ma , Congjie Zheng , Shufei Zhang , Yuqiang Li , Hang Su , P. Hu , Changshui Zhang , Xingao Gong , Wanli Ouyang , Lei Bai , Dongzhan Zhou , Mao Su

Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

Computation · Statistics 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet

Simulating sampling algorithms with people has proven a useful method for efficiently probing and understanding their mental representations. We propose that the same methods can be used to study the representations of Large Language Models…

Artificial Intelligence · Computer Science 2024-01-31 Jian-Qiao Zhu , Haijiang Yan , Thomas L. Griffiths

Sequential Monte Carlo (SMC) is a class of algorithms that approximate high-dimensional expectations of a Markov chain. SMC algorithms typically include a resampling step. There are many possible ways to resample, but the relative…

Numerical Analysis · Mathematics 2019-04-01 Robert J. Webber

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

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

Statistical Mechanics · Physics 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

The output of Large Language Models (LLMs) are a function of the internal model's parameters and the input provided into the context window. The hypothesis presented here is that under a greedy sampling strategy the variance in the LLM's…

Artificial Intelligence · Computer Science 2025-02-20 Srijith Rajamohan , Ahmed Salhin , Josh Frazier , Rohit Kumar , Yu-Cheng Tsai , Todd Cook

Large language models (LLMs) have achieved significant performance gains via scaling up model sizes and/or data. However, recent evidence suggests diminishing returns from such approaches, motivating scaling the computation spent at…

Machine Learning · Computer Science 2025-08-15 Isha Puri , Shivchander Sudalairaj , Guangxuan Xu , Kai Xu , Akash Srivastava

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

This thesis describes work on two applications of probabilistic programming: the learning of probabilistic program code given specifications, in particular program code of one-dimensional samplers; and the facilitation of sequential Monte…

Artificial Intelligence · Computer Science 2020-05-21 Yura N Perov

To learn about real world phenomena, scientists have traditionally used models with clearly interpretable elements. However, modern machine learning (ML) models, while powerful predictors, lack this direct elementwise interpretability (e.g.…

Machine Learning · Statistics 2024-07-16 Timo Freiesleben , Gunnar König , Christoph Molnar , Alvaro Tejero-Cantero

We introduce Preconditioned Monte Carlo (PMC), a novel Monte Carlo method for Bayesian inference that facilitates efficient sampling of probability distributions with non-trivial geometry. PMC utilises a Normalising Flow (NF) in order to…

Instrumentation and Methods for Astrophysics · Physics 2022-08-24 Minas Karamanis , Florian Beutler , John A. Peacock , David Nabergoj , Uros Seljak

Large language models (LLMs) have shown potential in assisting scientific research, yet their ability to discover high-quality research hypotheses remains unexamined due to the lack of a dedicated benchmark. To address this gap, we…

Computation and Language · Computer Science 2026-04-21 Yujie Liu , Zonglin Yang , Tong Xie , Jinjie Ni , Ben Gao , Yuqiang Li , Shixiang Tang , Wanli Ouyang , Erik Cambria , Dongzhan Zhou