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ASSA 2022 Convention Awards

Last week was the ASSA 2022 Convention held in Cape Town, South Africa. We were delighted to hear that our paper “LASSO Regularization within the LocalGLMnet Architecture” won the RGA Prize for the Best Convention Paper and the Swiss Re Prize for the Best Paper on Risk or Reinsurance.

The paper can be found here:
LASSO Regularization within the LocalGLMnet Architecture

I’m most appreciative of the Actuarial Society of South Africa (ASSA)’s making this award and hope that actuaries will start to use the method proposed for interpretable machine learning. Thanks very much to Professor Mario Wüthrich for this project!

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I was also pleased to hear that another paper, Mind the Gap – Safely Incorporating Deep Learning Models into the Actuarial Toolkit, was highly commended by ASSA’s Research Committee. This paper can be found here:

Mind the Gap

During the event, we also presented a paper on bootstrapping the Cape-Cod method. Below is a nice summary drawn at the Convention.

Reserving with the Cape Cod Method – OMI/ASABA Masterclass

I was delighted to present the first masterclass in the series as part of the short-term insurance practicing initiative of the Association of South African Black Actuarial Professionals and Old Mutual Insure. The title was “Reserving with the Cape Cod Method” and the attached slides cover everything from the basics all the way up to advanced methods of setting the parameters using machine learning. More materials can be found at the GitHub link on the title slide.

DFIP Old and New – Talk at the 2022 STIC Seminar

I was delighted to speak at the Actuarial Society of South Africa (ASSA)‘s annual short term insurance seminar, on Discrimination Free Insurance Pricing and our new work on multi-task networks. My slides are below.

Thanks so much to Mathias Lindholm, Andreas Tsanakas and Mario Wüthrich for this collaboration!

Discrimination Free Insurance Pricing – new paper

I am very excited to announce our next paper on Discrimination Free Insurance Pricing (DFIP). The first paper introduced a method for removing indirect discrimination from pricing models. The DFIP technique requires that the discriminatory features (e.g. gender) are known for all examples in the data on which the model is trained, as well as for the subsequent policies which will be priced. In this new work, we only require that the discriminatory features are known for a subset of the examples and use a specially designed neural network (with multiple outputs) to take care of those examples that are missing this information. In the plot below, we show that this new approach produces excellent approximations to the true discriminatory free price in a synthetic health insurance example.

The new paper can be found here:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4155585

Thank you to Mathias Lindholm, Andreas Tsanakas and Mario Wüthrich for this wonderful collaboration!

LASSO Regularization within the LocalGLMnet Architecture

We are excited to post a new paper, covering feature selection in our explainable deep learning architecture, the LocalGLMnet. Deep learning models are often criticized for not being explainable nor allowing for variable selection. Here, we show how group LASSO regularization can be implemented within the LocalGLMnet architecture so that we receive feature sparsity for variable selection. On several examples, we find that the proposed methods can identify less important variables successfully, even on smaller datasets! The figure below shows output from the model fit to the famous bike sharing dataset, where randomly permuted variables receive zero importance after regularization.

The paper can be found here:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3927187

LocalGLMnet

Excited to post a new paper with Mario Wüthrich on a local GLM model parametrized using a neural network:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3892015

Deep learning models have gained great popularity in statistical modeling because they lead to very competitive regression models, often outperforming classical statistical models such as generalized linear models. The disadvantage of deep learning models is that their solutions are difficult to interpret and explain, and variable selection is not easily possible because deep learning models solve feature engineering and variable selection internally in a nontransparent way. Inspired by the appealing structure of generalized linear models, we propose a new network architecture that shares similar features as generalized linear models, but provides superior predictive power benefiting from the art of representation learning. This new architecture allows for variable selection of tabular data and for interpretation of the calibrated deep learning model, in fact, our approach provides an additive decomposition in the spirit of Shapley values and integrated gradients.

Mind the Gap – Safely Incorporating Deep Learning Models into the Actuarial Toolkit

Excited to post a new paper on safely incorporating deep learning models into the actuarial toolkit. The paper covers several important aspects of deep learning models have not yet been studied in detail in the actuarial literature: the effect of hyperparameter choice on the accuracy and stability of network predictions, methods for producing uncertainty estimates and the design of deep learning models for explainability.

This paper was written under the research grant program of the AFIR-ERM section of the International Actuarial Association, to whom I am very grateful.

Here is an exhibit from the paper showing confidence bands derived using quantile regression:

Here is another exhibit, showing the impact of different hyperparameter choices:

Please read the full paper here if of interest:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3857693

Objective “Judgement” – article discussing `The Actuary and IBNR Techniques`

A short article discussing on our paper on applying machine learning principles for IBNR reserving is in the April 2021 edition of The Actuary.

https://www.theactuary.com/2021/03/30/ojective-automation-reserving

The paper can be found here:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3697256

Interpreting Deep Learning Models with Marginal Attribution by Conditioning on Quantiles

Today Michael Merz, Andreas Tsanakas, Mario Wüthrich and I released a new paper showing a novel deep learning interpretability technique. This can be found on SSRN:

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3809674

Compared to traditional model interpretability techniques which usually operate either at a global or instance level, the new technique, which we call Marginal Attribution by Conditioning on Quantiles looks at the contributions of variables at each quantile of the response. This provides significant insight into variable importance and the relationships between inputs to the model and predictions. The image above illustrates the output from the MACQ method on the Bike Sharing dataset.

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