Interpretable Mixture of Experts
On the map: Mixture-of-experts → MoE theory and gating functions
Abstract (arXiv)
The need for reliable model explanations is prominent for many machine learning applications, particularly for tabular and time-series data as their use cases often involve high-stakes decision making. Towards this goal, we introduce a novel interpretable modeling framework, Interpretable Mixture of Experts (IME), that yields high accuracy, comparable to `black-box' Deep Neural Networks (DNNs) in many cases, along with useful interpretability capabilities. IME consists of an assignment module and a mixture of experts, with each sample being assigned to a single expert for prediction. We introduce multiple options for IME based on the assignment and experts being interpretable. When the experts are chosen to be interpretable such as linear models, IME yields an inherently-interpretable architecture where the explanations produced by IME are the exact descriptions of how the prediction is computed. In addition to constituting a standalone inherently-interpretable architecture, IME has the premise of being integrated with existing DNNs to offer interpretability to a subset of samples while maintaining the accuracy of the DNNs. Through extensive experiments on 15 tabular and time-series datasets, IME is demonstrated to be more accurate than single interpretable models and perform comparably with existing state-of-the-art DNNs in accuracy. On most datasets, IME even outperforms DNNs, while providing faithful explanations. Lastly, IME's explanations are compared to commonly-used post-hoc explanations methods through a user study -- participants are able to better predict the model behavior when given IME explanations, while finding IME's explanations more faithful and trustworthy.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Placed in MoE theory and gating functions, one of 12 directions in Mixture-of-experts. Builds on 36 of its 61 references that are in the map. First posted on arXiv 5 Jun 2022.
Builds on
36 of 61 references.
Closest ancestors · 1
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Other references · 35
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- 2017Learning Important Features Through Propagating Activation Differencescited by 1,454
- 2018Sanity Checks for Saliency Mapscited by 1,149
- 2017SmoothGrad: removing noise by adding noisecited by 1,097
- 2019Temporal Fusion Transformers for Interpretable Multi-horizon Time Series Forecastingcited by 748
23 more
- 2019N-BEATS: Neural basis expansion analysis for interpretable time series forecastingcited by 744
- 2021Revisiting Deep Learning Models for Tabular Datacited by 725
- 2016The Mythos of Model Interpretabilitycited by 716
- 2019TabNet: Attentive Interpretable Tabular Learningcited by 640
- 2016Temporal Convolutional Networks for Action Segmentation and Detectioncited by 504
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- 2017Interpretation of Neural Networks is Fragilecited by 443
- 2018Tune: A Research Platform for Distributed Model Selection and Trainingcited by 395
- 2020Neural Additive Models: Interpretable Machine Learning with Neural Netscited by 318
- 2013Learning Factored Representations in a Deep Mixture of Expertscited by 275
- 2017Distilling a Neural Network Into a Soft Decision Treecited by 230
- 2017A Multi-Horizon Quantile Recurrent Forecastercited by 211
- 2018CatBoost: gradient boosting with categorical features supportcited by 208
- 2019Neural Oblivious Decision Ensembles for Deep Learning on Tabular Datacited by 200
- 2018Mesh-TensorFlow: Deep Learning for Supercomputerscited by 168
- 2015Conditional Computation in Neural Networks for faster modelscited by 166
- 2020Benchmarking Deep Learning Interpretability in Time Series Predictionscited by 102
- 2021NODE-GAM: Neural Generalized Additive Model for Interpretable Deep Learningcited by 88
- 2017The Doctor Just Won't Accept That!cited by 21
- 2019AR-Net: A simple Auto-Regressive Neural Network for time-seriescited by 20
- 2021PyTorch Tabular: A Framework for Deep Learning with Tabular Datacited by 20
- 2020Improving Multimodal Accuracy Through Modality Pre-training and Attentioncited by 15
- 2019Meta Decision Trees for Explainable Recommendation Systemscited by 4
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Citing papers per year: 2023: 1; 2024: 9; 2025: 5; 2026: 2.
17 papers.
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- 2024Time-MoE: Billion-Scale Time Series Foundation Models with Mixture of Expertscited by 280
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 69
- 2024Knowledge Graphs Meet Multi-Modal Learning: A Comprehensive Surveycited by 50
- 2024Multilinear Mixture of Experts: Scalable Expert Specialization through Factorizationcited by 28
- 2025Mixture of Experts (MoE): A Big Data Perspectivecited by 17
- 2024Intrinsic User-Centric Interpretability through Global Mixture of Expertscited by 9
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoderscited by 5
- 2023COMET: Learning Cardinality Constrained Mixture of Experts with Trees and Local Searchcited by 2
- 2026Mixture of Concept Bottleneck Expertscited by 2
- 2024Policy Trees for Prediction: Interpretable and Adaptive Model Selection for Machine Learningcited by 1
- 2025CAT: Curvature-Adaptive Transformers for Geometry-Aware Learningcited by 1
- 2024XpertAI: uncovering regression model strategies for sub-manifoldscited by 0
5 more
- 2024Discussion: Effective and Interpretable Outcome Prediction by Training Sparse Mixtures of Linear Expertscited by 0
- 2024MOoSE: Multi-Orientation Sharing Experts for Open-set Scene Text Recognitioncited by 0
- 2025NIMO: a Nonlinear Interpretable MOdelcited by 0
- 2025Cluster-Based Generalized Additive Models Informed by Random Fourier Featurescited by 0
- 2026A Heterogeneous Mixture of Experts Framework for Interpretable Machine Learningcited by 0
- 2026A Heterogeneous Mixture of Experts Framework for Interpretable Machine Learning25 Aug 2026
- 2026Mixture of Concept Bottleneck Experts2 Feb 2026
- 2025Cluster-Based Generalized Additive Models Informed by Random Fourier Features22 Dec 2025
- 2025CAT: Curvature-Adaptive Transformers for Geometry-Aware Learning2 Oct 2025
- 2025NIMO: a Nonlinear Interpretable MOdel5 Jun 2025
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoders27 May 2025
- 2025Mixture of Experts (MoE): A Big Data Perspective18 Jan 2025
- 2024Time-MoE: Billion-Scale Time Series Foundation Models with Mixture of Experts24 Sep 2024
- 2024MOoSE: Multi-Orientation Sharing Experts for Open-set Scene Text Recognition26 Jul 2024
- 2024Discussion: Effective and Interpretable Outcome Prediction by Training Sparse Mixtures of Linear Experts18 Jul 2024
- 2024Policy Trees for Prediction: Interpretable and Adaptive Model Selection for Machine Learning30 May 2024
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Experts2 May 2024
5 more
- 2024XpertAI: uncovering regression model strategies for sub-manifolds12 Mar 2024
- 2024Multilinear Mixture of Experts: Scalable Expert Specialization through Factorization19 Feb 2024
- 2024Knowledge Graphs Meet Multi-Modal Learning: A Comprehensive Survey8 Feb 2024
- 2024Intrinsic User-Centric Interpretability through Global Mixture of Experts5 Feb 2024
- 2023COMET: Learning Cardinality Constrained Mixture of Experts with Trees and Local Search5 Jun 2023
- 2024Time-MoE: Billion-Scale Time Series Foundation Models with Mixture of Expertscited by 280
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 69
- 2024Multilinear Mixture of Experts: Scalable Expert Specialization through Factorizationcited by 28
- 2025Mixture of Experts (MoE): A Big Data Perspectivecited by 17
- 2024Intrinsic User-Centric Interpretability through Global Mixture of Expertscited by 9
- 2023COMET: Learning Cardinality Constrained Mixture of Experts with Trees and Local Searchcited by 2
- 2026A Heterogeneous Mixture of Experts Framework for Interpretable Machine Learningcited by 0
- 2026A Heterogeneous Mixture of Experts Framework for Interpretable Machine Learning25 Aug 2026
- 2025Mixture of Experts (MoE): A Big Data Perspective18 Jan 2025
- 2024Time-MoE: Billion-Scale Time Series Foundation Models with Mixture of Experts24 Sep 2024
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Experts2 May 2024
- 2024Multilinear Mixture of Experts: Scalable Expert Specialization through Factorization19 Feb 2024
- 2024Intrinsic User-Centric Interpretability through Global Mixture of Experts5 Feb 2024
- 2023COMET: Learning Cardinality Constrained Mixture of Experts with Trees and Local Search5 Jun 2023
- 2024Knowledge Graphs Meet Multi-Modal Learning: A Comprehensive Surveycited by 50
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoderscited by 5
- 2026Mixture of Concept Bottleneck Expertscited by 2
- 2024Policy Trees for Prediction: Interpretable and Adaptive Model Selection for Machine Learningcited by 1
- 2025CAT: Curvature-Adaptive Transformers for Geometry-Aware Learningcited by 1
- 2024XpertAI: uncovering regression model strategies for sub-manifoldscited by 0
- 2024Discussion: Effective and Interpretable Outcome Prediction by Training Sparse Mixtures of Linear Expertscited by 0
- 2024MOoSE: Multi-Orientation Sharing Experts for Open-set Scene Text Recognitioncited by 0
- 2025NIMO: a Nonlinear Interpretable MOdelcited by 0
- 2025Cluster-Based Generalized Additive Models Informed by Random Fourier Featurescited by 0
- 2026Mixture of Concept Bottleneck Experts2 Feb 2026
- 2025Cluster-Based Generalized Additive Models Informed by Random Fourier Features22 Dec 2025
- 2025CAT: Curvature-Adaptive Transformers for Geometry-Aware Learning2 Oct 2025
- 2025NIMO: a Nonlinear Interpretable MOdel5 Jun 2025
- 2025Towards Interpretability Without Sacrifice: Faithful Dense Layer Decomposition with Mixture of Decoders27 May 2025
- 2024MOoSE: Multi-Orientation Sharing Experts for Open-set Scene Text Recognition26 Jul 2024
- 2024Discussion: Effective and Interpretable Outcome Prediction by Training Sparse Mixtures of Linear Experts18 Jul 2024
- 2024Policy Trees for Prediction: Interpretable and Adaptive Model Selection for Machine Learning30 May 2024
- 2024XpertAI: uncovering regression model strategies for sub-manifolds12 Mar 2024
- 2024Knowledge Graphs Meet Multi-Modal Learning: A Comprehensive Survey8 Feb 2024
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- 2024Explainable data-driven modeling via mixture of experts: towards effective blending of grey and black-box models
- 2022Mixture of Decision Trees for Interpretable Machine Learning
- 2026Neural Additive Experts: Context-Gated Experts for Controllable Model Additivity
- 2025CoCoAFusE: Beyond Mixtures of Experts via Model Fusion
- 2025Explainable artificial intelligence (XAI): from inherent explainability to large language models
- 2020Making Neural Networks Interpretable with Attribution: Application to Implicit Signals Prediction
- 2024Towards Explainable Artificial Intelligence (XAI): A Data Mining Perspective
- 2022FEAMOE: Fair, Explainable and Adaptive Mixture of Experts