Deep Neural Decision Trees
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Abstract (arXiv)
Deep neural networks have been proven powerful at processing perceptual data, such as images and audio. However for tabular data, tree-based models are more popular. A nice property of tree-based models is their natural interpretability. In this work, we present Deep Neural Decision Trees (DNDT) -- tree models realised by neural networks. A DNDT is intrinsically interpretable, as it is a tree. Yet as it is also a neural network (NN), it can be easily implemented in NN toolkits, and trained with gradient descent rather than greedy splitting. We evaluate DNDT on several tabular datasets, verify its efficacy, and investigate similarities and differences between DNDT and vanilla decision trees. Interestingly, DNDT self-prunes at both split and feature-level.
Key facts. Cited by 72 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Jun 2018.
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Citing papers per year: 2021: 22; 2022: 15; 2023: 12; 2024: 12; 2025: 6; 2026: 5.
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- 2021Revisiting Deep Learning Models for Tabular Datacited by 725
- 2021Interpretable Machine Learning: Fundamental Principles and 10 Grand Challengescited by 364
- 2021A Survey on Interpretable Reinforcement Learningcited by 70
- 2022Transfer Learning with Deep Tabular Modelscited by 52
- 2021Source-Free Adaptation to Measurement Shift via Bottom-Up Feature Restorationcited by 50
- 2021DANets: Deep Abstract Networks for Tabular Data Classification and Regressioncited by 50
- 2021Boost then Convolve: Gradient Boosting Meets Graph Neural Networkscited by 42
- 2022T2G-Former: Organizing Tabular Features into Relation Graphs Promotes Heterogeneous Feature Interactioncited by 41
- 2021Scalable Rule-Based Representation Learning for Interpretable Classificationcited by 40
- 2022ExSpliNet: An interpretable and expressive spline-based neural networkcited by 33
- 2021Meta-Calibration: Learning of Model Calibration Using Differentiable Expected Calibration Errorcited by 28
- 2025A Comprehensive Survey on Self-Interpretable Neural Networkscited by 18
38 more
- 2021Cloud2Curve: Generation and Vectorization of Parametric Sketchescited by 16
- 2022Neural Networks are Decision Treescited by 16
- 2021Learning Accurate Decision Trees with Bandit Feedback via Quantized Gradient Descentcited by 14
- 2023Learning Interpretable Rules for Scalable Data Representation and Classificationcited by 14
- 2022Feature-based Learning for Diverse and Privacy-Preserving Counterfactual Explanationscited by 11
- 2023GradTree: Learning Axis-Aligned Decision Trees with Gradient Descentcited by 11
- 2023GRANDE: Gradient-Based Decision Tree Ensembles for Tabular Datacited by 10
- 2022A Survey of Neural Treescited by 7
- 2023A Comprehensive Survey on Heart Sound Analysis in the Deep Learning Eracited by 7
- 2023NCART: Neural Classification and Regression Tree for Tabular Datacited by 7
- 2022DT+GNN: A Fully Explainable Graph Neural Network using Decision Treescited by 6
- 2022Trade-off Between Efficiency and Consistency for Removal-based Explanationscited by 6
- 2022GCondNet: A Novel Method for Improving Neural Networks on Small High-Dimensional Tabular Datacited by 6
- 2022Weight Predictor Network with Feature Selection for Small Sample Tabular Biomedical Datacited by 6
- 2024Logical Distillation of Graph Neural Networkscited by 6
- 2024Vanilla Gradient Descent for Oblique Decision Treescited by 6
- 2021Muddling Label Regularization: Deep Learning for Tabular Datasetscited by 5
- 2021XBNet : An Extremely Boosted Neural Networkcited by 5
- 2024Learning Exceptional Subgroups by End-to-End Maximizing KL-divergencecited by 5
- 2022Towards a Unified Framework for Uncertainty-aware Nonlinear Variable Selection with Theoretical Guaranteescited by 4
- 2022Mixed integer linear optimization formulations for learning optimal binary classification treescited by 4
- 2024Kernel KMeans clustering splits for end-to-end unsupervised decision treescited by 4
- 2021Beyond Importance Scores: Interpreting Tabular ML by Visualizing Feature Semanticscited by 3
- 2023Memorization Capacity of Neural Networks with Conditional Computationcited by 3
- 2024A Federated Learning Benchmark on Tabular Data: Comparing Tree-Based Models and Neural Networkscited by 3
- 2024Practical Attribution Guidance for Rashomon Setscited by 3
- 2024Language Model as Visual Explainercited by 3
- 2021Yet Another Representation of Binary Decision Trees: A Mathematical Demonstrationcited by 2
- 2022MetaDT: Meta Decision Tree with Class Hierarchy for Interpretable Few-Shot Learningcited by 2
- 2023A Gradient Boosting Approach for Training Convolutional and Deep Neural Networkscited by 2
- 2023Enabling tabular deep learning when d gg n with an auxiliary knowledge graphcited by 2
- 2024Diffusion Boosted Treescited by 2
- 2025Learning Interpretable Differentiable Logic Networks for Tabular Regressioncited by 2
- 2021Efficient Click-Through Rate Prediction for Developing Countries via Tabular Learningcited by 1
- 2021Enhancing Transformers with Gradient Boosted Decision Trees for NLI Fine-Tuningcited by 1
- 2021NEWRON: A New Generalization of the Artificial Neuron to Enhance the Interpretability of Neural Networkscited by 1
- 2021Learning To Segment Dominant Object Motion From Watching Videoscited by 1
- 2022Transition Matrix Representation of Trees with Transposed Convolutionscited by 1
50 most cited of 72 All 72 (JSON)
- 2026MotherTree: Meta-learning on synthetic data improves decision tree training7 Oct 2026
- 2026Theoretical Guarantees for One-Shot Magnitude Pruning and Compute-Adaptive Early Exit11 Sep 2026
- 2026Adaptive Multi-Branching for Shallow Decision Tree Induction29 Aug 2026
- 2026Approximation-Free Differentiable Oblique Decision Trees8 May 2026
- 2026Triadic Concept Analysis for Logic Interpretation of Simple Artificial Networks9 Jan 2026
- 2025SX-GeoTree: Self-eXplaining Geospatial Regression Tree Incorporating the Spatial Similarity of Feature Attributions25 Nov 2025
- 2025Annotation-Free Human Sketch Quality Assessment28 Jul 2025
- 2025Learning Interpretable Differentiable Logic Networks for Tabular Regression29 May 2025
- 2025BoxRL-NNV: Boxed Refinement of Latin Hypercube Samples for Neural Network Verification25 Feb 2025
- 2025Hierarchical Retrieval at Scale: Bridging Transparency and Efficiency11 Feb 2025
- 2025A Comprehensive Survey on Self-Interpretable Neural Networks26 Jan 2025
- 2024Language Model as Visual Explainer8 Dec 2024
38 more
- 2024Can a Single Tree Outperform an Entire Forest?26 Nov 2024
- 2024Neuro-Symbolic Rule Lists10 Nov 2024
- 2024Logic interpretations of ANN partition cells26 Aug 2024
- 2024Vanilla Gradient Descent for Oblique Decision Trees17 Aug 2024
- 2024Practical Attribution Guidance for Rashomon Sets26 Jul 2024
- 2024Logical Distillation of Graph Neural Networks11 Jun 2024
- 2024Is Data Valuation Learnable and Interpretable?3 Jun 2024
- 2024Diffusion Boosted Trees3 Jun 2024
- 2024A Federated Learning Benchmark on Tabular Data: Comparing Tree-Based Models and Neural Networks3 May 2024
- 2024Learning Exceptional Subgroups by End-to-End Maximizing KL-divergence20 Feb 2024
- 2024Kernel KMeans clustering splits for end-to-end unsupervised decision trees19 Feb 2024
- 2023An Initialization Schema for Neuronal Networks on Tabular Data7 Nov 2023
- 2023Learning Interpretable Rules for Scalable Data Representation and Classification22 Oct 2023
- 2023Fair Feature Importance Scores for Interpreting Tree-Based Methods and Surrogates6 Oct 2023
- 2023GRANDE: Gradient-Based Decision Tree Ensembles for Tabular Data29 Sep 2023
- 2023NSOTree: Neural Survival Oblique Tree25 Sep 2023
- 2023NCART: Neural Classification and Regression Tree for Tabular Data23 Jul 2023
- 2023Enabling tabular deep learning when d gg n with an auxiliary knowledge graph7 Jun 2023
- 2023GradTree: Learning Axis-Aligned Decision Trees with Gradient Descent5 May 2023
- 2023LEURN: Learning Explainable Univariate Rules with Neural Networks27 Mar 2023
- 2023Memorization Capacity of Neural Networks with Conditional Computation20 Mar 2023
- 2023A Gradient Boosting Approach for Training Convolutional and Deep Neural Networks22 Feb 2023
- 2023A Comprehensive Survey on Heart Sound Analysis in the Deep Learning Era23 Jan 2023
- 2022Improving Uncertainty Quantification of Variance Networks by Tree-Structured Learning24 Dec 2022
- 2022T2G-Former: Organizing Tabular Features into Relation Graphs Promotes Heterogeneous Feature Interaction30 Nov 2022
- 2022Weight Predictor Network with Feature Selection for Small Sample Tabular Biomedical Data28 Nov 2022
- 2022GCondNet: A Novel Method for Improving Neural Networks on Small High-Dimensional Tabular Data11 Nov 2022
- 2022Trade-off Between Efficiency and Consistency for Removal-based Explanations31 Oct 2022
- 2022Neural Networks are Decision Trees11 Oct 2022
- 2022Feature-based Learning for Diverse and Privacy-Preserving Counterfactual Explanations27 Sep 2022
- 2022A Survey of Neural Trees7 Sep 2022
- 2022Transfer Learning with Deep Tabular Models30 Jun 2022
- 2022Mixed integer linear optimization formulations for learning optimal binary classification trees10 Jun 2022
- 2022DT+GNN: A Fully Explainable Graph Neural Network using Decision Trees26 May 2022
- 2022ExSpliNet: An interpretable and expressive spline-based neural network3 May 2022
- 2022Towards a Unified Framework for Uncertainty-aware Nonlinear Variable Selection with Theoretical Guarantees15 Apr 2022
- 2022MetaDT: Meta Decision Tree with Class Hierarchy for Interpretable Few-Shot Learning3 Mar 2022
- 2022Transition Matrix Representation of Trees with Transposed Convolutions22 Feb 2022
50 newest of 72 All 72 (JSON)
- 2024Diffusion Boosted Treescited by 2
- 2024Diffusion Boosted Trees3 Jun 2024
- 2021Revisiting Deep Learning Models for Tabular Datacited by 725
- 2021Interpretable Machine Learning: Fundamental Principles and 10 Grand Challengescited by 364
- 2021A Survey on Interpretable Reinforcement Learningcited by 70
- 2022Transfer Learning with Deep Tabular Modelscited by 52
- 2021Source-Free Adaptation to Measurement Shift via Bottom-Up Feature Restorationcited by 50
- 2021DANets: Deep Abstract Networks for Tabular Data Classification and Regressioncited by 50
- 2021Boost then Convolve: Gradient Boosting Meets Graph Neural Networkscited by 42
- 2022T2G-Former: Organizing Tabular Features into Relation Graphs Promotes Heterogeneous Feature Interactioncited by 41
- 2021Scalable Rule-Based Representation Learning for Interpretable Classificationcited by 40
- 2022ExSpliNet: An interpretable and expressive spline-based neural networkcited by 33
- 2021Meta-Calibration: Learning of Model Calibration Using Differentiable Expected Calibration Errorcited by 28
- 2025A Comprehensive Survey on Self-Interpretable Neural Networkscited by 18
12 most cited of 68 All 68 (JSON)
- 2026Adaptive Multi-Branching for Shallow Decision Tree Induction29 Aug 2026
- 2026Approximation-Free Differentiable Oblique Decision Trees8 May 2026
- 2026Triadic Concept Analysis for Logic Interpretation of Simple Artificial Networks9 Jan 2026
- 2025SX-GeoTree: Self-eXplaining Geospatial Regression Tree Incorporating the Spatial Similarity of Feature Attributions25 Nov 2025
- 2025Annotation-Free Human Sketch Quality Assessment28 Jul 2025
- 2025Learning Interpretable Differentiable Logic Networks for Tabular Regression29 May 2025
- 2025BoxRL-NNV: Boxed Refinement of Latin Hypercube Samples for Neural Network Verification25 Feb 2025
- 2025Hierarchical Retrieval at Scale: Bridging Transparency and Efficiency11 Feb 2025
- 2025A Comprehensive Survey on Self-Interpretable Neural Networks26 Jan 2025
- 2024Language Model as Visual Explainer8 Dec 2024
- 2024Can a Single Tree Outperform an Entire Forest?26 Nov 2024
- 2024Neuro-Symbolic Rule Lists10 Nov 2024
12 newest of 68 All 68 (JSON)