activity
20222026
most citedFirst-passage probability estimation of high-dimensional nonlinear stochastic dynamic systems by a fractional moments-based mixture distribution approach

33 citations · 70 across the 9 of their papers we have counts for

collaborators

9 papers

math.DS2026

Probabilistic function-on-function nonlinear autoregressive model for emulation and reliability analysis of stochastic dynamical systems

Zhouzhou Song, Marcos A. Valdebenito, Styfen Schär +3

Constructing accurate and computationally efficient surrogate models (or emulators) for predicting dynamical system responses is critical in many engineering domains, yet remains c…

cs.CE2025

On the impact of geometric variance on the performance of formed parts: A probabilistic approach on the example of airbag pressure bins

Lukas Schnelle, Niklas Fehlemann, Ali O. M. Kilicsoy +6

Scatter in properties resulting from manufacturing is a great challenge in lightweight design, requiring consideration of not only the average mechanical performance but also the v…

stat.CO2025★ 1 cited

Bayesian model updating via streamlined Bayesian active learning cubature

Pei-Pei Li, Chao Dang, Cristóbal H. Acevedo +2

This paper proposes a novel Bayesian active learning method for Bayesian model updating, which is termed as "Streamlined Bayesian Active Learning Cubature" (SBALC). The core idea i…

math.DS2025

Efficient forward and inverse uncertainty quantification for dynamical systems based on dimension reduction and Kriging surrogate modeling in functional space

Zhouzhou Song, Weiyun Xu, Marcos A. Valdebenito +1

Surrogate models are extensively employed for forward and inverse uncertainty quantification in complex, computation-intensive engineering problems. Nonetheless, constructing high-…

stat.CO2024

Response probability distribution estimation of expensive computer simulators: A Bayesian active learning perspective using Gaussian process regression

Chao Dang, Marcos A. Valdebenito, Nataly A. Manque +2

Estimation of the response probability distributions of computer simulators in the presence of randomness is a crucial task in many fields. However, achieving this task with guaran…

cs.LG2024★ 5 cited

Sobolev neural network with residual weighting as a surrogate in linear and non-linear mechanics

A. O. M. Kilicsoy, J. Liedmann, M. A. Valdebenito +2

Areas of computational mechanics such as uncertainty quantification and optimization usually involve repeated evaluation of numerical models that represent the behavior of engineer…

stat.ME2024★ 1 cited

On Fractional Moment Estimation from Polynomial Chaos Expansion

Lukáš Novák, Marcos Valdebenito, Matthias Faes

Fractional statistical moments are utilized for various tasks of uncertainty quantification, including the estimation of probability distributions. However, an estimation of fracti…

stat.ME2022★ 33 cited

First-passage probability estimation of high-dimensional nonlinear stochastic dynamic systems by a fractional moments-based mixture distribution approach

Chen Ding, Chao Dang, Marcos A. Valdebenito +3

First-passage probability estimation of high-dimensional nonlinear stochastic systems is a significant task to be solved in many science and engineering fields, but remains still a…

eess.SY2022★ 30 cited

Risk-based Design of Regular Plane Frames Subject to Damage by Abnormal Events: a Conceptual Study

Andre T. Beck, Lucas da Rosa Ribeiro, Marcos Valdebenito +1

Constructed facilities should be robust with respect to the loss of load-bearing elements due to abnormal events. Yet, strengthening structures to withstand such damage has a signi…