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Uncertainty Quantification (UQ) is a promising approach to improve model reliability, yet quantifying the uncertainty of Large Language Models (LLMs) is non-trivial. In this work, we establish a connection between the uncertainty of LLMs…

Computation and Language · Computer Science 2025-10-16 Mingda Li , Xinyu Li , Weinan Zhang , Longxuan Ma

Machine learning interatomic potentials (MLIPs) have been widely used to facilitate large-scale molecular simulations with accuracy comparable to ab initio methods. In practice, MLIP-based molecular simulations often encounter the issue of…

Computational Physics · Physics 2025-04-17 Han Xu , Taoyong Cui , Chenyu Tang , Jinzhe Ma , Dongzhan Zhou , Yuqiang Li , Xiang Gao , Xingao Gong , Wanli Ouyang , Shufei Zhang , Mao Su

Learning dynamics from dissipative chaotic systems is notoriously difficult due to their inherent instability, as formalized by their positive Lyapunov exponents, which exponentially amplify errors in the learned dynamics. However, many of…

Machine Learning · Computer Science 2024-06-07 Yair Schiff , Zhong Yi Wan , Jeffrey B. Parker , Stephan Hoyer , Volodymyr Kuleshov , Fei Sha , Leonardo Zepeda-Núñez

We propose a probabilistic model discovery method for identifying ordinary differential equations (ODEs) governing the dynamics of observed multivariate data. Our method is based on the sparse identification of nonlinear dynamics (SINDy)…

Dynamical Systems · Mathematics 2021-07-06 Seth M. Hirsh , David A. Barajas-Solano , J. Nathan Kutz

Uncertainty Quantification (UQ) is an essential step in computational model validation because assessment of the model accuracy requires a concrete, quantifiable measure of uncertainty in the model predictions. The concept of UQ in the…

Applications · Statistics 2023-03-24 Xu Wu , Ziyu Xie , Farah Alsafadi , Tomasz Kozlowski

As machine learning (ML) models are increasingly deployed in high-stakes domains, trustworthy uncertainty quantification (UQ) is critical for ensuring the safety and reliability of these models. Traditional UQ methods rely on specifying a…

Machine Learning · Statistics 2025-05-14 Abhineet Agarwal , Michael Xiao , Rebecca Barter , Omer Ronen , Boyu Fan , Bin Yu

We address the problem of offline learning a policy that avoids undesirable demonstrations. Unlike conventional offline imitation learning approaches that aim to imitate expert or near-optimal demonstrations, our setting involves avoiding…

Machine Learning · Computer Science 2024-10-14 Huy Hoang , Tien Mai , Pradeep Varakantham

Machine learning interatomic potentials (MLIPs) are promising surrogates for quantum mechanics evaluations in ab-initio molecular dynamics simulations due to their ability to reproduce the energy and force landscape within chemical accuracy…

Materials Science · Physics 2023-08-31 Emil Annevelink , Venkatasubramanian Viswanathan

AI deployed in the real-world should be capable of autonomously adapting to novelties encountered after deployment. Yet, in the field of continual learning, the reliance on novelty and labeling oracles is commonplace albeit unrealistic.…

Machine Learning · Computer Science 2024-12-24 Amanda S. Rios , Ibrahima J. Ndiour , Parual Datta , Jaroslaw Sydir , Omesh Tickoo , Nilesh Ahuja

With the advancement of GPS, remote sensing, and computational simulations, large amounts of geospatial and spatiotemporal data are being collected at an increasing speed. Such emerging spatiotemporal big data assets, together with the…

Machine Learning · Computer Science 2024-06-24 Wenchong He , Zhe Jiang

How can we quantify uncertainty if our favorite computational tool - be it a numerical, a statistical, or a machine learning approach, or just any computer model - provides single-valued output only? In this article, we introduce the Easy…

Methodology · Statistics 2023-07-25 Eva-Maria Walz , Alexander Henzi , Johanna Ziegel , Tilmann Gneiting

Multimodal learning faces challenges in effectively fusing information from diverse modalities, especially when modality quality varies across samples. Dynamic fusion strategies, such as attention mechanism in Transformers, aim to address…

Machine Learning · Computer Science 2025-06-16 Haotian Ni , Yake Wei , Hang Liu , Gong Chen , Chong Peng , Hao Lin , Di Hu

Large language models (LLMs) exhibit impressive fluency, but often produce critical errors known as "hallucinations". Uncertainty quantification (UQ) methods are a promising tool for coping with this fundamental shortcoming. Yet, existing…

Reliable uncertainty quantification (UQ) is essential for developing machine-learned interatomic potentials (MLIPs) in predictive atomistic simulations. Conformal prediction (CP) is a statistical framework that constructs prediction…

Chemical Physics · Physics 2025-10-02 Cheuk Hin Ho , Christoph Ortner , Yangshuai Wang

Large language models (LLMs) have transformed natural language processing, but their reliable deployment requires effective uncertainty quantification (UQ). Existing UQ methods are often heuristic and lack a probabilistic interpretation.…

Computation and Language · Computer Science 2025-11-06 Haoyi Song , Ruihan Ji , Naichen Shi , Fan Lai , Raed Al Kontar

Despite the rapid advancement of Large Language Models (LLMs), uncertainty quantification in LLM generation is a persistent challenge. Although recent approaches have achieved strong performance by restricting LLMs to produce short or…

Computation and Language · Computer Science 2026-04-21 Haozhi Fan , Jinhao Duan , Kaidi Xu

We formulate a novel approach to solve a class of stochastic problems, referred to as data-consistent inverse (DCI) problems, which involve the characterization of a probability measure on the parameters of a computational model whose…

Numerical Analysis · Mathematics 2024-04-19 Kirana Bergstrom , Troy Butler , Tim Wildey

In real-world healthcare settings, treatment decisions often involve optimizing for multivariate outcomes such as treatment efficacy and severity of side effects based on individual preferences. However, existing statistical methods for…

Machine Learning · Statistics 2025-09-03 Joshua P. Zitovsky , Yating Zou , Leslie Wilson , Michael R. Kosorok

Sensitivity analysis (SA) and uncertainty quantification (UQ) are used to assess and improve engineering models. In this study, various methods of SA and UQ are described and applied in theoretical and practical examples for use in energy…

Applications · Statistics 2022-07-07 Majdi I. Radaideh , Mohammad I. Radaideh

This paper explores Uncertainty Quantification (UQ) in SVM predictions, particularly for regression and forecasting tasks. Unlike the Neural Network, the SVM solutions are typically more stable, sparse, optimal and interpretable. However,…

Machine Learning · Statistics 2025-05-22 Pritam Anand