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20212026
most citedSmall-noise approximation for Bayesian optimal experimental design with nuisance uncertainty

10 citations · 11 across the 3 of their papers we have counts for

collaborators

5 papers

math.NA2026

Median randomized quasi-Monte Carlo for nested integration

Arved Bartuska, Yang Liu, Raúl Tempone

Nested integrals where and $\boldsymbo…

math.NA2024

Multilevel randomized quasi-Monte Carlo estimator for nested integration

Arved Bartuska, André Gustavo Carlon, Luis Espath +2

Nested integration problems arise in various scientific and engineering applications, including Bayesian experimental design, financial risk assessment, and uncertainty quantificat…

math.NA2023★ 1 cited

Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty

Arved Bartuska, Luis Espath, Raúl Tempone

Finding the optimal design of experiments in the Bayesian setting typically requires estimation and optimization of the expected information gain functional. This functional consis…

math.NA2023

Double-loop randomized quasi-Monte Carlo estimator for nested integration

Arved Bartuska, André Gustavo Carlon, Luis Espath +2

Nested integration of the form $\int f\left(\int g(\bs{y},\bs{x})\di{}\bs{x}\right)\di{}\bs{y}$, characterized by an outer integral connected to an inner integral through a nonline…

math.NA2021★ 10 cited

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,…