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To achieve virtual certification for industrial design, quantifying the uncertainties in simulation-driven processes is crucial. We discuss a physics-constrained approach to account for epistemic uncertainty of turbulence models. In order…

Machine Learning · Computer Science 2023-07-12 Marcel Matha , Christian Morsbach

Decision trees with binary splits are popularly constructed using Classification and Regression Trees (CART) methodology. For binary classification and regression models, this approach recursively divides the data into two near-homogenous…

Machine Learning · Statistics 2020-08-17 Jason M. Klusowski

Bridges are indispensable elements in resilient communities as essential parts of the lifeline transportation systems. Knowledge about the functionality of bridge structures is crucial, especially after a major earthquake event. In this…

Signal Processing · Electrical Eng. & Systems 2022-10-25 Seyedomid Sajedi , Xiao Liang

While deep learning has resulted in major breakthroughs in many application domains, the frameworks commonly used in deep learning remain fragile to artificially-crafted and imperceptible changes in the data. In response to this fragility,…

Machine Learning · Computer Science 2020-11-03 Alexander Robey , Hamed Hassani , George J. Pappas

Reachability analysis is a powerful tool when it comes to capturing the behaviour, thus verifying the safety, of autonomous systems. However, general-purpose methods, such as Hamilton-Jacobi approaches, suffer from the curse of…

Optimization and Control · Mathematics 2022-10-27 Alessandro Alla , Peter M. Dower , Vincent Liu

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

Methodology · Statistics 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang

Simulating dynamic rupture propagation is challenging due to the uncertainties involved in the underlying physics of fault slip, stress conditions, and frictional properties of the fault. A trial and error approach is often used to…

Geophysics · Physics 2019-06-17 Sabber Ahamed , Eric G. Daub

We propose a novel frailty model with change points applying random effects to a Cox proportional hazard model to adjust the heterogeneity between clusters. Because the frailty model includes random effects, the parameters are estimated…

Methodology · Statistics 2023-01-12 Masahiro Kojima , Shunichiro Orihara

Various graphical models are widely used in reliability to provide a qualitative description of domain experts hypotheses about how a system might fail. Here we argue that the semantics developed within standard causal Bayesian networks are…

Statistics Theory · Mathematics 2021-10-05 Xuewen Yu , Jim Q. Smith

We give a new consistent scoring function for structure learning of Bayesian networks. In contrast to traditional approaches to scorebased structure learning, such as BDeu or MDL, the complexity penalty that we propose is data-dependent and…

Machine Learning · Computer Science 2013-09-27 Eliot Brenner , David Sontag

Credit risk default prediction remains a cornerstone of risk management in the financial industry. The task involves estimating the likelihood that a borrower will fail to meet debt obligations, an objective critical for lending decisions,…

Machine Learning · Computer Science 2026-04-21 Swattik Maiti , Ritik Pratap Singh , Fardina Fathmiul Alam

In this paper we criticize the robustness measure traditionally employed to assess the performance of machine learning models deployed in adversarial settings. To mitigate the limitations of robustness, we introduce a new measure called…

Machine Learning · Computer Science 2021-12-07 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Federico Marcuzzi , Salvatore Orlando

Bayesian methods for learning Gaussian graphical models offer a principled framework for quantifying model uncertainty and incorporating prior knowledge. However, their scalability is constrained by the computational cost of jointly…

Methodology · Statistics 2025-08-28 Reza Mohammadi , Marit Schoonhoven , Lucas Vogels , S. Ilker Birbil

Bayesian networks are one of the most widely used classes of probabilistic models for risk management and decision support because of their interpretability and flexibility in including heterogeneous pieces of information. In any applied…

Methodology · Statistics 2024-07-08 Manuele Leonelli , Jim Q. Smith , Sophia K. Wright

This paper presents a machine learning methodology to improve the predictions of traditional RANS turbulence models in channel flows subject to strong variations in their thermophysical properties. The developed formulation contains several…

Fluid Dynamics · Physics 2022-10-28 Rafael Diez Sanhueza , Stephan Smit , Jurriaan Peeters , Rene Pecnik

A machine-learning strategy for investigating the stability of fluid flow problems is proposed herein. The goal is to provide a simple yet robust methodology to find a nonlinear mapping from the parametric space to an indicator representing…

Fluid Dynamics · Physics 2026-01-06 David J. Silvester

Owing to their inherently interpretable structure, decision trees are commonly used in applications where interpretability is essential. Recent work has focused on improving various aspects of decision trees, including their predictive…

Machine Learning · Statistics 2023-05-30 Dimitris Bertsimas , Vassilis Digalakis

Derivative training is an established method that can significantly increase the accuracy of neural networks in certain low-dimensional tasks. In this paper, we extend this improvement to an illustrative image analysis problem:…

Machine Learning · Computer Science 2025-02-04 Vsevolod I. Avrutskiy

Interaction of corrugated steel plates with surrounding soil medium causes the investigation of seismic behavior of soil-steel structures to be complicated. Reviewing the available literature confirms the considerable scarceness in this…

Geophysics · Physics 2019-01-09 Ehssan Hoomaan , Morteza Esmaeili

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis
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