Journal Articles2026

Equivariant Transition Matrices for Explainable Deep Learning: A Lie Group Linearization Approach

Pavlo Radiuk, Oleksander Barmak, Leonid Bedratyuk, Iurii Krak

Machine Learning and Knowledge Extraction, Vol. 8, No. 4, Article 92

Editorial summary

The study makes explanations of a trained neural network more consistent when inputs are transformed, for example by rotation. It adds Lie-group constraints to transition matrices after training. Tests on synthetic data and handwritten digits compare this consistency with how closely the explanation follows the model.

Bibliographic reference

Use the publisher’s record for the citation format required by your journal or organisation.

Pavlo Radiuk, Oleksander Barmak, Leonid Bedratyuk, Iurii Krak. "Equivariant Transition Matrices for Explainable Deep Learning: A Lie Group Linearization Approach". Machine Learning and Knowledge Extraction, Vol. 8, No. 4, Article 92, 2026. https://doi.org/10.3390/make8040092

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