Neural Additive Models for Location Scale and Shape: A Framework for Interpretable Neural Regression Beyond the Mean
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Abstract (arXiv)
Deep neural networks (DNNs) have proven to be highly effective in a variety of tasks, making them the go-to method for problems requiring high-level predictive power. Despite this success, the inner workings of DNNs are often not transparent, making them difficult to interpret or understand. This lack of interpretability has led to increased research on inherently interpretable neural networks in recent years. Models such as Neural Additive Models (NAMs) achieve visual interpretability through the combination of classical statistical methods with DNNs. However, these approaches only concentrate on mean response predictions, leaving out other properties of the response distribution of the underlying data. We propose Neural Additive Models for Location Scale and Shape (NAMLSS), a modelling framework that combines the predictive power of classical deep learning models with the inherent advantages of distributional regression while maintaining the interpretability of additive models. The code is available at the following link: https://github.com/AnFreTh/NAMpy
Key facts. Cited by 18 papers in the map (data through 14 Oct 2026). Builds on 27 of its 56 references that are in the map. First posted on arXiv 27 Jan 2023.
Builds on
27 of 56 references.
References · 27
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15 more
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Citing papers per year: 2023: 2; 2024: 5; 2025: 7; 2026: 4.
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- 2024Mambular: A Sequential Model for Tabular Deep Learningcited by 21
- 2023Improving Neural Additive Models with Bayesian Principlescited by 15
- 2023Structural Neural Additive Models: Enhanced Interpretable Machine Learningcited by 6
- 2024Online Distributional Regressioncited by 3
- 2025Additive Models Explained: A Computational Complexity Approachcited by 3
- 2024Leveraging Graph Neural Networks to Forecast Electricity Consumptioncited by 2
- 2024NBMLSS: probabilistic forecasting of electricity prices via Neural Basis Models for Location Scale and Shapecited by 2
- 2025Beyond Black-Box Predictions: Identifying Marginal Feature Effects in Tabular Transformer Networkscited by 2
- 2024Neural Additive Image Model: Interpretation through Interpolationcited by 1
- 2025Graph Neural Networks for Electricity Load Forecastingcited by 1
- 2026Provably Explaining Neural Additive Modelscited by 1
- 2026textttfindr: Transparent and Fair Credit Risk Decisions through Semi-Structured Regressionscited by 1
6 more
- 2025LucidAtlas: Learning Uncertainty-Aware, Covariate-Disentangled, Individualized Atlas Representationscited by 0
- 2025Explainable Boosting Machine for Predicting Claim Severity and Frequency in Car Insurancecited by 0
- 2025From Distributional to Quantile Neural Basis Models: the case of Electricity Price Forecastingcited by 0
- 2025Bayesian Neural Networks for Functional ANOVA modelcited by 0
- 2026EviNAM: Intelligibility and Uncertainty via Evidential Neural Additive Modelscited by 0
- 2026Neural Additive Experts: Context-Gated Experts for Controllable Model Additivitycited by 0
- 2026textttfindr: Transparent and Fair Credit Risk Decisions through Semi-Structured Regressions25 Aug 2026
- 2026Provably Explaining Neural Additive Models19 Feb 2026
- 2026Neural Additive Experts: Context-Gated Experts for Controllable Model Additivity11 Feb 2026
- 2026EviNAM: Intelligibility and Uncertainty via Evidential Neural Additive Models13 Jan 2026
- 2025Additive Models Explained: A Computational Complexity Approach24 Oct 2025
- 2025Bayesian Neural Networks for Functional ANOVA model1 Oct 2025
- 2025From Distributional to Quantile Neural Basis Models: the case of Electricity Price Forecasting17 Sep 2025
- 2025Graph Neural Networks for Electricity Load Forecasting4 Jul 2025
- 2025Beyond Black-Box Predictions: Identifying Marginal Feature Effects in Tabular Transformer Networks11 Apr 2025
- 2025Explainable Boosting Machine for Predicting Claim Severity and Frequency in Car Insurance27 Mar 2025
- 2025LucidAtlas: Learning Uncertainty-Aware, Covariate-Disentangled, Individualized Atlas Representations12 Feb 2025
- 2024NBMLSS: probabilistic forecasting of electricity prices via Neural Basis Models for Location Scale and Shape21 Nov 2024
6 more
- 2024Leveraging Graph Neural Networks to Forecast Electricity Consumption30 Aug 2024
- 2024Mambular: A Sequential Model for Tabular Deep Learning12 Aug 2024
- 2024Online Distributional Regression26 Jun 2024
- 2024Neural Additive Image Model: Interpretation through Interpolation6 Mar 2024
- 2023Improving Neural Additive Models with Bayesian Principles26 May 2023
- 2023Structural Neural Additive Models: Enhanced Interpretable Machine Learning18 Feb 2023
- 2024Mambular: A Sequential Model for Tabular Deep Learningcited by 21
- 2024Mambular: A Sequential Model for Tabular Deep Learning12 Aug 2024
- 2023Improving Neural Additive Models with Bayesian Principlescited by 15
- 2023Structural Neural Additive Models: Enhanced Interpretable Machine Learningcited by 6
- 2024Online Distributional Regressioncited by 3
- 2025Additive Models Explained: A Computational Complexity Approachcited by 3
- 2024Leveraging Graph Neural Networks to Forecast Electricity Consumptioncited by 2
- 2024NBMLSS: probabilistic forecasting of electricity prices via Neural Basis Models for Location Scale and Shapecited by 2
- 2025Beyond Black-Box Predictions: Identifying Marginal Feature Effects in Tabular Transformer Networkscited by 2
- 2024Neural Additive Image Model: Interpretation through Interpolationcited by 1
- 2025Graph Neural Networks for Electricity Load Forecastingcited by 1
- 2026Provably Explaining Neural Additive Modelscited by 1
- 2026textttfindr: Transparent and Fair Credit Risk Decisions through Semi-Structured Regressionscited by 1
- 2025LucidAtlas: Learning Uncertainty-Aware, Covariate-Disentangled, Individualized Atlas Representationscited by 0
12 most cited of 17 All 17 (JSON)
- 2026textttfindr: Transparent and Fair Credit Risk Decisions through Semi-Structured Regressions25 Aug 2026
- 2026Provably Explaining Neural Additive Models19 Feb 2026
- 2026Neural Additive Experts: Context-Gated Experts for Controllable Model Additivity11 Feb 2026
- 2026EviNAM: Intelligibility and Uncertainty via Evidential Neural Additive Models13 Jan 2026
- 2025Additive Models Explained: A Computational Complexity Approach24 Oct 2025
- 2025Bayesian Neural Networks for Functional ANOVA model1 Oct 2025
- 2025From Distributional to Quantile Neural Basis Models: the case of Electricity Price Forecasting17 Sep 2025
- 2025Graph Neural Networks for Electricity Load Forecasting4 Jul 2025
- 2025Beyond Black-Box Predictions: Identifying Marginal Feature Effects in Tabular Transformer Networks11 Apr 2025
- 2025Explainable Boosting Machine for Predicting Claim Severity and Frequency in Car Insurance27 Mar 2025
- 2025LucidAtlas: Learning Uncertainty-Aware, Covariate-Disentangled, Individualized Atlas Representations12 Feb 2025
- 2024NBMLSS: probabilistic forecasting of electricity prices via Neural Basis Models for Location Scale and Shape21 Nov 2024
12 newest of 17 All 17 (JSON)