activity
20182026
most citedAn Integer Programming Approach to Deep Neural Networks with Binary Activation Functions

8 citations · 17 across the 13 of their papers we have counts for

collaborators

16 papers

math.OC2026

Decision-Tree Surrogates for Weak Counterfactual Explanations in Integer Optimization

Marc Goerigk, Jannis Kurtz, Sebastian Merten

The concept of counterfactual explanations (CEs) has recently gained increasing attention for deriving explanations of mathematical optimization problems. For a given problem, a co…

math.OC2026

The complexity landscape of robust (integer) linear programming

Michael Poss, Jannis Kurtz, Marc Goerigk +1

We study the computational complexity of the decision versions of three classic robust optimization problems: static robust optimization, two-stage (adjustable) robust optimization…

math.OC2026

Globalized Adversarial Regret Optimization: Robust Decisions with Uncalibrated Predictions

Jannis Kurtz, Bart P. G. van Parys

Optimization problems routinely depend on uncertain parameters that must be predicted before a decision is made. Classical robust and regret formulations are designed to handle err…

math.OC2024

A Frank-Wolfe Algorithm for Oracle-based Robust Optimization

Mathieu Besançon, Jannis Kurtz

We tackle robust optimization problems under objective uncertainty in the oracle model, i.e., when the deterministic problem is solved by an oracle. The oracle-based setup is favor…

math.OC2024

Bounding the Optimal Number of Policies for Robust K-Adaptability

Jannis Kurtz

In the realm of robust optimization the k-adaptability approach is one promising method to derive approximate solutions for two-stage robust optimization problems. Instead of allow…

cs.LG2023★ 1 cited

Finding Regions of Counterfactual Explanations via Robust Optimization

Donato Maragno, Jannis Kurtz, Tabea E. Röber +3

Counterfactual explanations play an important role in detecting bias and improving the explainability of data-driven classification models. A counterfactual explanation (CE) is a m…

cs.LG2022★ 1 cited

Ensemble Methods for Robust Support Vector Machines using Integer Programming

Jannis Kurtz

In this work we study binary classification problems where we assume that our training data is subject to uncertainty, i.e. the precise data points are not known. To tackle this is…

math.OC2022

Data-driven Prediction of Relevant Scenarios for Robust Combinatorial Optimization

Marc Goerigk, Jannis Kurtz

We study iterative methods for (two-stage) robust combinatorial optimization problems with discrete uncertainty. We propose a machine-learning-based heuristic to determine starting…

math.OC2021

Efficient and Robust Mixed-Integer Optimization Methods for Training Binarized Deep Neural Networks

Jannis Kurtz, Bubacarr Bah

Compared to classical deep neural networks its binarized versions can be useful for applications on resource-limited devices due to their reduction in memory consumption and comput…

math.OC2021★ 1 cited

Approximation Algorithms for Min-max-min Robust Optimization and K-Adaptability under Objective Uncertainty

Jannis Kurtz

In this work we investigate the min-max-min robust optimization problem and the k-adaptability robust optimization problem for binary problems with uncertain costs. The idea of the…

math.OC2020★ 6 cited

Data-Driven Robust Optimization using Unsupervised Deep Learning

Marc Goerigk, Jannis Kurtz

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to…

math.OC2020★ 8 cited

An Integer Programming Approach to Deep Neural Networks with Binary Activation Functions

Bubacarr Bah, Jannis Kurtz

We study deep neural networks with binary activation functions (BDNN), i.e. the activation function only has two states. We show that the BDNN can be reformulated as a mixed-intege…

math.OC2019

Min-Max-Min Robustness for Combinatorial Problems with Discrete Budgeted Uncertainty

Marc Goerigk, Jannis Kurtz, Michael Poss

We consider robust combinatorial optimization problems with cost uncertainty where the decision maker can prepare K solutions beforehand and chooses the best of them once the true…

math.OC2019

Oracle-Based Algorithms for Binary Two-Stage Robust Optimization

Nicolas Kämmerling, Jannis Kurtz

In this work we study binary two-stage robust optimization problems with objective uncertainty. We present an algorithm to calculate efficiently lower bounds for the binary two-sta…

math.OC2019

Discrete Optimization Methods for Group Model Selection in Compressed Sensing

Bubacarr Bah, Jannis Kurtz, Oliver Schaudt

In this article we study the problem of signal recovery for group models. More precisely for a given set of groups, each containing a small subset of indices, and for given linear…

math.OC2018

Faster Algorithms for Min-max-min Robustness for Combinatorial Problems with Budgeted Uncertainty

André Chassein, Marc Goerigk, Jannis Kurtz +1

We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of solutions. This approach is appropriate…