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To analyze the uncertain data frequently encountered in practice, this paper proposes novel fixed-effects models that incorporate an uncertain measure to investigate variables of interest and nuisance variables in factor designs. First, an…

Methodology · Statistics 2026-03-18 Fan Zhang , Zhiming Li

Confidence estimation (CE) indicates how reliable the answers of large language models are and impacts user trust and decision-making. Existing evaluations mainly concern the alignment between confidence and correctness, but ignore the…

Computation and Language · Computer Science 2026-05-29 Yuxi Xia , Dennis Ulmer , Terra Blevins , Yihong Liu , Hinrich Schütze , Benjamin Roth

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

Quantitative Methods · Quantitative Biology 2025-08-27 Michael J. Plank , Matthew J. Simpson

Several sources of uncertainty have to be taken into account in the analysis and design of CPS. The set of parameters used in the model of the physical plant of a CPS may be uncertain due, for example, to manufacturing processes that are…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Alessandro Pinto

Estimating feature importance is a significant aspect of explaining data-based models. Besides explaining the model itself, an equally relevant question is which features are important in the underlying data generating process. We present a…

Machine Learning · Computer Science 2021-09-21 Pål Vegard Johnsen , Inga Strümke , Signe Riemer-Sørensen , Andrew Thomas DeWan , Mette Langaas

Counterfactual explanations (CFEs) exemplify how to minimally modify a feature vector to achieve a different prediction for an instance. CFEs can enhance informational fairness and trustworthiness, and provide suggestions for users who…

Machine Learning · Computer Science 2023-09-12 Yongjie Wang , Hangwei Qian , Yongjie Liu , Wei Guo , Chunyan Miao

Structural equation modeling (SEM) is a statistical method widely used in educational research to investigate relationships between variables. SEM models are typically constructed based on theoretical foundations and assessed through fit…

Physics Education · Physics 2024-05-31 Yangqiuting Li , Chandralekha Singh

This contribution reviews critically the existing entropy measures for probabilistic hesitant fuzzy sets (PHFSs), and demonstrates that these entropy measures fail to effectively distinguish a variety of different PHFSs in some cases. In…

Artificial Intelligence · Computer Science 2020-11-18 Bahram Farhadinia , Uwe Aickelin , Hadi Akbarzadeh Khorshidi

The use of emergent constraints to quantify uncertainty for key policy relevant quantities such as Equilibrium Climate Sensitivity (ECS) has become increasingly widespread in recent years. Many researchers, however, claim that emergent…

Applications · Statistics 2020-02-19 Daniel B. Williamson , Philip G. Sansom

Handling latent variables in Structural Equation Models (SEMs) in a case where both the latent variables and their corresponding indicators in the measurement error part of the model are random curves presents significant challenges,…

Methodology · Statistics 2024-12-30 Fatemeh Asgari , Valeria Vitelli , Uta Sailer

Computational aspects increasingly shape environmental sciences. Actually, transdisciplinary modelling of complex and uncertain environmental systems is challenging computational science (CS) and also the science-policy interface. Large…

Systems and Control · Computer Science 2014-02-11 Daniele de Rigo

Counterfactual explanations (CFEs) are essential for interpreting black-box models, yet they often become invalid when models are slightly changed. Existing methods for generating robust CFEs are often limited to specific types of models,…

Machine Learning · Computer Science 2026-04-21 Marcin Kostrzewa , Maciej Zięba , Jerzy Stefanowski

When implementing prediction models for high-stakes real-world applications such as medicine, finance, and autonomous systems, quantifying prediction uncertainty is critical for effective risk management. Traditional approaches to…

Machine Learning · Statistics 2025-04-29 Junting Ren , Armin Schwartzman

Cyber-Physical Systems (CPS) operate in dynamic environments, leading to different types of uncertainty. This work provides a comprehensive review of uncertainty representations and categorizes them based on the dimensions used to represent…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Johannes Mäkelburg , Diego Perez-Palacin , Raffaela Mirandola , Maribel Acosta

Large language models (LLMs) are increasingly deployed in domains where errors carry high social, scientific, or safety costs. Yet standard confidence estimators, such as token likelihood, semantic similarity and multi-sample consistency,…

Computation and Language · Computer Science 2026-02-03 Pengyue Yang , Jiawen Wen , Haolin Jin , Linghan Huang , Huaming Chen , Ling Chen

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

Subjective judgements from experts provide essential information when assessing and modelling threats in respect to cyber-physical systems. For example, the vulnerability of individual system components can be described using multiple…

Cryptography and Security · Computer Science 2019-10-03 Zack Ellerby , Josie McCulloch , Melanie Wilson , Christian Wagner

The recent increase in the deployment of machine learning models in critical domains such as healthcare, criminal justice, and finance has highlighted the need for trustworthy methods that can explain these models to stakeholders. Feature…

Machine Learning · Computer Science 2021-10-04 Angeline Yasodhara , Azin Asgarian , Diego Huang , Parinaz Sobhani

Complex systems can be modelled at various levels of detail. Ideally, causal models of the same system should be consistent with one another in the sense that they agree in their predictions of the effects of interventions. We formalise…

Counterfactual explanations (CEs) offer interpretable insights into machine learning predictions by answering ``what if?" questions. However, in real-world settings where models are frequently updated, existing counterfactual explanations…

Machine Learning · Computer Science 2026-02-12 Jamie Duell , Xiuyi Fan
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