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20092023
most citedConic Programming Reformulations of Two-Stage Distributionally Robust Linear Programs over Wasserstein Balls

220 citations · 724 across the 45 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

math.OC2018★ 30 cited

Wasserstein Distributionally Robust Kalman Filtering

Soroosh Shafieezadeh-Abadeh, Viet Anh Nguyen, Daniel Kuhn +1

We study a distributionally robust mean square error estimation problem over a nonconvex Wasserstein ambiguity set containing only normal distributions. We show that the optimal es…

math.OC2018★ 50 cited

Data-Driven Chance Constrained Programs over Wasserstein Balls

Zhi Chen, Daniel Kuhn, Wolfram Wiesemann

We provide an exact deterministic reformulation for data-driven chance constrained programs over Wasserstein balls. For individual chance constraints as well as joint chance constr…

math.CO2018

Resolution of the Oberwolfach problem

Stefan Glock, Felix Joos, Jaehoon Kim +2

The Oberwolfach problem, posed by Ringel in 1967, asks for a decomposition of into edge-disjoint copies of a given -factor. We show that this can be achieved for all…

math.OC2018★ 2 cited

Distributionally Robust Inverse Covariance Estimation: The Wasserstein Shrinkage Estimator

Viet Anh Nguyen, Daniel Kuhn, Peyman Mohajerin Esfahani

We introduce a distributionally robust maximum likelihood estimation model with a Wasserstein ambiguity set to infer the inverse covariance matrix of a -dimensional Gaussian ran…

math.OC2018

Distributionally robust optimization with polynomial densities: theory, models and algorithms

Etienne de Klerk, Daniel Kuhn, Krzysztof Postek

In distributionally robust optimization the probability distribution of the uncertain problem parameters is itself uncertain, and a fictitious adversary, e.g., nature, chooses the…

math.CO2018★ 1 cited

On a conjecture of Erdős on locally sparse Steiner triple systems

Stefan Glock, Daniela Kühn, Allan Lo +1

A famous theorem of Kirkman says that there exists a Steiner triple system of order if and only if . In 1973, Erdős conjectured that one can find so-called…