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Robust state estimation in coupled dynamical systems depends critically not only on sensor quality but on the structural alignment between observation channels and the system's intrinsic dynamics. This paper develops a rigorous framework…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Somasundhar Venkatasubramanian , Anirudh Venkat , Advaidh Venkat

We derive high-dimensional Gaussian comparison results for the standard $V$-fold cross-validated risk estimates. Our results combine a recent stability-based argument for the low-dimensional central limit theorem of cross-validation with…

Statistics Theory · Mathematics 2023-11-15 Nicholas Kissel , Jing Lei

Programming reliability algorithms is crucial for risk assessment in geotechnical engineering. This study explores the possibility of automating and accelerating this task using Generative AI based on Large Language Models (LLMs).…

Applications · Statistics 2025-06-25 Atma Sharma , Jie Zhang , Meng Lu , Shuangyi Wu , Baoxiang Li

We discuss the prediction accuracy of assumed statistical models in terms of prediction errors for the generalized linear model and penalized maximum likelihood methods. We derive the forms of estimators for the prediction errors, such as…

Machine Learning · Statistics 2023-02-22 Ayaka Sakata

Model evaluation -- the process of making inferences about the performance of predictive models -- is a critical component of predictive modeling research in learning analytics. We survey the state of the practice with respect to model…

Applications · Statistics 2018-06-15 Josh Gardner , Christopher Brooks

Predicting hospital length of stay (LOS) reliably is an essential need for efficient resource allocation at hospitals. Traditional predictive modeling tools frequently have difficulty acquiring sufficient and diverse data because healthcare…

Machine Learning · Computer Science 2024-07-18 Mehmet Yigit Balik

Unbiased assessment of the predictivity of models learnt by supervised machine-learning methods requires knowledge of the learned function over a reserved test set (not used by the learning algorithm). The quality of the assessment depends,…

Statistics Theory · Mathematics 2022-07-11 Elias Fekhari , Bertrand Iooss , Joseph Muré , Luc Pronzato , Maria-João Rendas

Predictive systems increasingly span heterogeneous modalities such as graphs, language, and tabular records, but sparsity and efficiency remain modality-specific (graph edge or neighborhood sparsification, Transformer head or layer pruning,…

Machine Learning · Computer Science 2026-03-31 Filippo Cenacchi

We consider panel data models where coefficients change smoothly over time and follow a latent group structure, being homogeneous within but heterogeneous across groups. To jointly estimate the group membership and group-specific…

Econometrics · Economics 2025-11-19 Paul Haimerl , Stephan Smeekes , Ines Wilms

Plotting the residuals is a recommended procedure to diagnose deviations from linear model assumptions, such as non-linearity, heteroscedasticity, and non-normality. The presence of structure in residual plots can be tested using the lineup…

Machine Learning · Statistics 2024-11-05 Weihao Li , Dianne Cook , Emi Tanaka , Susan VanderPlas , Klaus Ackermann

Model selection and learning the structure of graphical models from the data sample constitutes an important field of probabilistic graphical model research, as in most of the situations the structure is unknown and has to be learnt from…

Methodology · Statistics 2016-03-14 Niharika Gauraha

Cross-validation (CV) is routinely used across the sciences to select models and tune parameters, and the resulting choices are often interpreted as substantive scientific conclusions (e.g., which variables, mechanisms, or risk factors are…

Methodology · Statistics 2026-02-03 Kenichiro McAlinn , Kōsaku Takanashi

Standard approaches for inference in probabilistic formalisms with first-order constructs include lifted variable elimination (LVE) for single queries as well as first-order knowledge compilation (FOKC) based on weighted model counting. To…

Artificial Intelligence · Computer Science 2018-07-03 Tanya Braun , Ralf Möller

Architecture evaluation methods have been extensively used to evaluate software designs. Several evaluation methods have been proposed to analyze tradeoffs between different quality attributes. Also, having competing qualities leads to…

Software Engineering · Computer Science 2026-04-01 Rafael Capilla , Jorge Andrés Díaz-Pace , Yamid Ramírez , Jennifer Pérez , Vanessa Rodríguez-Horcajo

Smoothed model checking based on Gaussian process classification provides a powerful approach for statistical model checking of parametric continuous time Markov chain models. The method constructs a model for the functional dependence of…

Machine Learning · Computer Science 2021-04-21 Paul Piho , Jane Hillston

Cognitive modeling commonly relies on asking participants to complete a battery of varied tests in order to estimate attention, working memory, and other latent variables. In many cases, these tests result in highly variable observation…

We consider the task of estimating a structural model of dynamic decisions by a human agent based upon the observable history of implemented actions and visited states. This problem has an inherent nested structure: in the inner problem, an…

Machine Learning · Computer Science 2024-03-04 Siliang Zeng , Mingyi Hong , Alfredo Garcia

Autonomous driving systems validation remains one of the biggest challenges car manufacturers must tackle in order to provide safe driverless cars. The high complexity stems from several factors: the multiplicity of vehicles, embedded…

Machine Learning · Computer Science 2020-08-04 Etienne Goffinet , Anthony Coutant , Mustapha Lebbah , Hanane Azzag , Loïc Giraldi

We study a theoretical and algorithmic framework for structured prediction in the online learning setting. The problem of structured prediction, i.e. estimating function where the output space lacks a vectorial structure, is well studied in…

Machine Learning · Computer Science 2024-06-19 Pierre Boudart , Alessandro Rudi , Pierre Gaillard

Causal inference starts with a simple idea: compare groups that differ by treatment, not much else. Traditionally, similar groups are constructed using only observed covariates; however, it remains a long-standing challenge to incorporate…

Methodology · Statistics 2025-11-21 Ying Jin , José Zubizarreta
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