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Main Authors: Laub, Patrick J., Pho, Tu, Wong, Bernard
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.08467
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author Laub, Patrick J.
Pho, Tu
Wong, Bernard
author_facet Laub, Patrick J.
Pho, Tu
Wong, Bernard
contents This paper introduces the Actuarial Neural Additive Model, an inherently interpretable deep learning model for general insurance pricing that offers fully transparent and interpretable results while retaining the strong predictive power of neural networks. This model assigns a dedicated neural network (or subnetwork) to each individual covariate and pairwise interaction term to independently learn its impact on the modeled output while implementing various architectural constraints to allow for essential interpretability (e.g. sparsity) and practical requirements (e.g. smoothness, monotonicity) in insurance applications. The development of our model is grounded in a solid foundation, where we establish a concrete definition of interpretability within the insurance context, complemented by a rigorous mathematical framework. Comparisons in terms of prediction accuracy are made with traditional actuarial and state-of-the-art machine learning methods using both synthetic and real insurance datasets. The results show that the proposed model outperforms other methods in most cases while offering complete transparency in its internal logic, underscoring the strong interpretability and predictive capability.
format Preprint
id arxiv_https___arxiv_org_abs_2509_08467
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Interpretable Deep Learning Model for General Insurance Pricing
Laub, Patrick J.
Pho, Tu
Wong, Bernard
Machine Learning
General Finance
This paper introduces the Actuarial Neural Additive Model, an inherently interpretable deep learning model for general insurance pricing that offers fully transparent and interpretable results while retaining the strong predictive power of neural networks. This model assigns a dedicated neural network (or subnetwork) to each individual covariate and pairwise interaction term to independently learn its impact on the modeled output while implementing various architectural constraints to allow for essential interpretability (e.g. sparsity) and practical requirements (e.g. smoothness, monotonicity) in insurance applications. The development of our model is grounded in a solid foundation, where we establish a concrete definition of interpretability within the insurance context, complemented by a rigorous mathematical framework. Comparisons in terms of prediction accuracy are made with traditional actuarial and state-of-the-art machine learning methods using both synthetic and real insurance datasets. The results show that the proposed model outperforms other methods in most cases while offering complete transparency in its internal logic, underscoring the strong interpretability and predictive capability.
title An Interpretable Deep Learning Model for General Insurance Pricing
topic Machine Learning
General Finance
url https://arxiv.org/abs/2509.08467