output
20182021
most citedEvaluating Gaussian Process Metamodels and Sequential Designs for Noisy Level Set Estimation

10 citations

7 papers

math.OC2021

A survey on high-dimensional Gaussian process modeling with application to Bayesian optimization

Mickael Binois, Nathan Wycoff

Bayesian Optimization, the application of Bayesian function approximation to finding optima of expensive functions, has exploded in popularity in recent years. In particular, much…

math.OC2021★ 3 cited

A portfolio approach to massively parallel Bayesian optimization

Mickael Binois, Nicholson Collier, Jonathan Ozik

One way to reduce the time of conducting optimization studies is to evaluate designs in parallel rather than just one-at-a-time. For expensive-to-evaluate black-boxes, batch versio…

math.OC2021

A game theoretic perspective on Bayesian multi-objective optimization

Mickael Binois, Abderrahmane Habbal, Victor Picheny

This chapter addresses the question of how to efficiently solve many-objective optimization problems in a computationally demanding black-box simulation context. We shall motivate…

math.NA2019

An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes

Christophe Chalons, Samuel Kokh, Maxime Stauffert

In this work, we focus on the numerical approximation of the shallow water equations in two space dimensions. Our aim is to propose a well-balanced, all-regime and positive scheme.…

math.OC2019★ 1 cited

The Kalai-Smorodinski solution for many-objective Bayesian optimization

Mickaël Binois, Victor Picheny, Patrick Taillandier +1

An ongoing aim of research in multiobjective Bayesian optimization is to extend its applicability to a large number of objectives. While coping with a limited budget of evaluations…

math.AP2018★ 1 cited

Well-posedness of general 1D Initial Boundary Value Problems for scalar balance laws

Elena Rossi

We focus on the initial boundary value problem for a general scalar balance law in one space dimension. Under rather general assumptions on the flux and source functions, we prove…