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13 papers · 2 filters
Small-noise approximation for Bayesian optimal experimental design with nuisance uncertainty
Arved Bartuska, Luis Espath, Raúl Tempone
Calculating the expected information gain in optimal Bayesian experimental design typically relies on nested Monte Carlo sampling. When the model also contains nuisance parameters,…
An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations
Abhinav Jha, Ondřej Pártl, Naveed Ahmed +1
We consider flux-corrected finite element discretizations of 3D convection-dominated transport problems and assess the computational efficiency of algorithms based on such approxim…
Learning-Based Importance Sampling via Stochastic Optimal Control for Stochastic Reaction Networks
Chiheb Ben Hammouda, Nadhir Ben Rached, Raúl Tempone +1
We explore efficient estimation of statistical quantities, particularly rare event probabilities, for stochastic reaction networks. Consequently, we propose an importance sampling…
Multi-center decomposition of molecular densities: a mathematical perspective
Robert Benda, Eric Cancès, Virginie Ehrlacher +1
The aim of this paper is to analyze from a mathematical perspective some existing schemes to partition a molecular density into several atomic contributions, with a specific focus…
Numerical Design of Distributive Mixing Elements
Sebastian Hube, Marek Behr, Stefanie Elgeti +3
This paper presents a novel shape-optimization technique for the design of mixing elements in single-screw extruders. Extruders enable the continuous production of constant-cross-s…
Asymptotic Log-Det Sum-of-Ranks Minimization via Tensor (Alternating) Iteratively Reweighted Least Squares
Sebastian Krämer
Affine sum-of-ranks minimization (ASRM) generalizes the affine rank minimization (ARM) problem from matrices to tensors. Here, the interest lies in the ranks of a family $\mathcal{…