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Using MILPs for generating robust adversarial examples

Title data

Richter, Rónán R.C. ; Rambau, Jörg:
Using MILPs for generating robust adversarial examples.
2022
Event: International Conference on Operations Research - OR 2022 , 06.-09.09.2022 , Karlsruhe, Germany.
(Conference item: Conference , Speech )

Abstract in another language

The widespread use of Deep Neural Networks (DNNs) in various fields, including applications with increasingly higher security requirements, has made strategies to attack DNNs a relevant field of interest. One way to lead a DNN into wrong classifications are adversarial examples, i.e., small perturbations of inputs that result in false outputs. Different approaches for generating adversarial examples have been described in literature. However, adversarial examples may be heavily dependent on the given DNN, such that minor modifications of the DNN may rule out some of them.
In the presented work, our goal is to find more robust adversarial examples for DNNs consisting of multiple layers of rectified linear units by building upon a MILP model proposed by Fischetti and Jo (2018). By incorporating perturbations of the weights and the biases of the rectified linear units, the resulting adversarial examples are more resistant to changes of the attacked DNN, e.g., by further training. We present examples for DNNs that are trained for MNIST data and compare our method with other approaches for generating robust adversarial examples, that are described in literature.

Further data

Item Type: Conference item (Speech)
Refereed: No
Additional notes: Speaker: Ronan Richter
Keywords: Mixed-Integer Programming; Artificial Intelligence; Robustness
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 23 Dec 2025 07:25
Last Modified: 23 Dec 2025 07:25
URI: https://eref.uni-bayreuth.de/id/eprint/95513