Verifying Properties of Tsetlin Machines

E Przybysz, B Bhattarai, C Persia… - … Symposium on the …, 2023 - ieeexplore.ieee.org
2023 International Symposium on the Tsetlin Machine (ISTM), 2023ieeexplore.ieee.org
Tsetlin Machines (TsMs) are a promising and interpretable machine learning method which
can be applied for various classification tasks. We present an exact encoding of TsMs into
propositional logic and formally verify properties of TsMs using a SAT solver. In particular,
we introduce in this work a notion of similarity of machine learning models and apply our
notion to check for similarity of TsMs. We also consider notions of robustness and
equivalence from the literature and adapt them for TsMs. Then, we show the correctness of …
Tsetlin Machines (TsMs) are a promising and interpretable machine learning method which can be applied for various classification tasks. We present an exact encoding of TsMs into propositional logic and formally verify properties of TsMs using a SAT solver. In particular, we introduce in this work a notion of similarity of machine learning models and apply our notion to check for similarity of TsMs. We also consider notions of robustness and equivalence from the literature and adapt them for TsMs. Then, we show the correctness of our encoding and provide results for the properties: adversarial robustness, equivalence, and similarity of TsMs. In our experiments, we employ the MNIST and IMDB datasets for (respectively) image and sentiment classification. We discuss the results for verifying robustness obtained with TsMs with those in the literature obtained with Binarized Neural Networks on MNIST.
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