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In this paper, we introduce the notion of simulation-gap functions to formally quantify the potential gap between an approximate nominal mathematical model and the high-fidelity simulator representation of a real system. Given a nominal…

Systems and Control · Electrical Eng. & Systems 2024-11-19 P Sangeerth , Abolfazl Lavaei , Pushpak Jagtap

As NLP evaluation shifts from static benchmarks to multi-turn interactive settings, LLM-based simulators have become widely used as user proxies, serving two roles: generating user turns and providing evaluation signals. Yet, these…

Artificial Intelligence · Computer Science 2026-03-13 Xuhui Zhou , Weiwei Sun , Qianou Ma , Yiqing Xie , Jiarui Liu , Weihua Du , Sean Welleck , Yiming Yang , Graham Neubig , Sherry Tongshuang Wu , Maarten Sap

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Likelihood-free inference for simulator-based statistical models has recently attracted a surge of interest, both in the machine learning and statistics communities. The primary focus of these research fields has been to approximate the…

Methodology · Statistics 2022-05-27 Jukka Corander , Ulpu Remes , Ida Holopainen , Timo Koski

Large language models (LLMs) are increasingly used to simulate survey responses, but synthetic data can be misaligned with the human population, leading to unreliable inference. We develop a general framework that converts LLM-simulated…

Methodology · Statistics 2026-05-21 Chengpiao Huang , Yuhang Wu , Kaizheng Wang

As user simulators are increasingly used for interactive training and evaluation of AI assistants, it is essential that they represent the diverse behaviors of real users. While existing works train user simulators to generate human-like…

Computation and Language · Computer Science 2026-05-11 Shuhaib Mehri , Philippe Laban , Sumuk Shashidhar , Marwa Abdulhai , Sergey Levine , Michel Galley , Dilek Hakkani-Tür

Stochastic simulation models effectively capture complex system dynamics but are often too slow for real-time decision-making. Traditional metamodeling techniques learn relationships between simulator inputs and a single output summary…

Machine Learning · Computer Science 2026-01-21 L. Jeff Hong , Yanxi Hou , Qingkai Zhang , Xiaowei Zhang

This paper introduces the notion of stochastic simulation-gap function, which formally quantifies the gap between an approximate mathematical model and a high-fidelity stochastic simulator. Since controllers designed for the mathematical…

Systems and Control · Electrical Eng. & Systems 2026-03-24 P Sangeerth , Abolfazl Lavaei , Pushpak Jagtap

In this paper, we introduce the notion of neural simulation gap functions, which formally quantifies the gap between the mathematical model and the model in the high-fidelity simulator, which closely resembles reality. Many times, a…

Systems and Control · Electrical Eng. & Systems 2025-06-24 P Sangeerth , Pushpak Jagtap

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

Machine Learning · Statistics 2016-01-01 Michael U. Gutmann , Jukka Corander

In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

Applications · Statistics 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

Simulation with agent-based models is increasingly used in the study of complex socio-technical systems and in social simulation in general. This paradigm offers a number of attractive features, namely the possibility of modeling emergent…

Physics and Society · Physics 2015-10-27 Giovanni Luca Ciampaglia

Deploying autonomous vision systems on edge devices faces a critical challenge: resource constraints prevent real-time and predictable execution of comprehensive safety tests. Existing validation methods depend on static datasets or manual…

Machine Learning · Computer Science 2026-04-10 Faezeh Pasandideh , Achim Rettberg

Recent advances in large language models (LLMs) have enabled human-like social simulations at unprecedented scale and fidelity, offering new opportunities for computational social science. A key challenge, however, is the construction of…

Computation and Language · Computer Science 2025-10-07 Zhengyu Hu , Jianxun Lian , Zheyuan Xiao , Max Xiong , Yuxuan Lei , Tianfu Wang , Kaize Ding , Ziang Xiao , Nicholas Jing Yuan , Xing Xie

The vast majority of stochastic simulation models are imperfect in that they fail to exactly emulate real system dynamics. The inexactness of the simulation model, or model discrepancy, can impact the predictive accuracy and usefulness of…

Methodology · Statistics 2017-07-21 Matthew Plumlee , Henry Lam

Generative AI (GenAI) is increasingly used in survey contexts to simulate human preferences. While many research endeavors evaluate the quality of synthetic GenAI data by comparing model-generated responses to gold-standard survey results,…

Machine Learning · Computer Science 2025-02-25 Sarah Ball , Simeon Allmendinger , Frauke Kreuter , Niklas Kühl

LLMs show strong performance in code generation, but their outputs lack correctness guarantees. Sample-based uncertainty estimators address this by generating multiple candidate programs and measuring their disagreement. However, existing…

Software Engineering · Computer Science 2026-05-12 Weilin He , Arindam Sharma , Cristina David

In scientific applications, there often are several competing models that could be fit to the observed data, so quantification of the model uncertainty is of fundamental importance. In this paper, we develop an inferential model (IM)…

Statistics Theory · Mathematics 2016-06-07 Ryan Martin , Huiping Xu , Zuoyi Zhang , Chuanhai Liu

Constructing robust simulators is essential for asking "what if?" questions and guiding policy in critical domains like healthcare and logistics. However, existing methods often struggle, either failing to generalize beyond historical data…

Machine Learning · Computer Science 2025-06-12 Samuel Holt , Max Ruiz Luyten , Antonin Berthon , Mihaela van der Schaar
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