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Logic Constraints to Feature Importance

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AIxIA 2021 – Advances in Artificial Intelligence (AIxIA 2021)

Abstract

In recent years, Artificial Intelligence (AI) algorithms have been proven to outperform traditional statistical methods in terms of predictivity, especially when a large amount of data was available. Nevertheless, the “black box” nature of AI models is often a limit for a reliable application in high-stakes fields like diagnostic techniques, autonomous guide, etc. Recent works have shown that an adequate level of interpretability could enforce the more general concept of model trustworthiness [7]. The basic idea of this paper is to exploit the human prior knowledge of the features’ importance for a specific task, in order to coherently aid the phase of the model’s fitting. This sort of “weighted” AI is obtained by extending the empirical loss with a regularization term encouraging the importance of the features to follow predetermined constraints. This procedure relies on local methods for the feature importance computation, e.g. LRP, LIME, etc. that are the link between the model weights to be optimized and the user-defined constraints on feature importance. In the fairness area, promising experimental results have been obtained for the Adult dataset. Many other possible applications of this model agnostic theoretical framework are described.

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Notes

  1. 1.

    With regularization chosen to be 0.1 and constraining also the other features, by using regularization strengths given by \(\lambda \cdot \rho _{\text {gender}, i}\) (see Eq. (5)).

  2. 2.

    In linear regression a similar problem is called attenuation bias, where errors in the input features cause the weights going toward zero.

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Correspondence to Nicola Picchiotti .

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Picchiotti, N., Gori, M. (2022). Logic Constraints to Feature Importance. In: Bandini, S., Gasparini, F., Mascardi, V., Palmonari, M., Vizzari, G. (eds) AIxIA 2021 – Advances in Artificial Intelligence. AIxIA 2021. Lecture Notes in Computer Science(), vol 13196. Springer, Cham. https://doi.org/10.1007/978-3-031-08421-8_27

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  • DOI: https://doi.org/10.1007/978-3-031-08421-8_27

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