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Scalable Rule-Based Representation Learning for Interpretable Classification (2109.15103v1)

Published 30 Sep 2021 in cs.LG and cs.AI

Abstract: Rule-based models, e.g., decision trees, are widely used in scenarios demanding high model interpretability for their transparent inner structures and good model expressivity. However, rule-based models are hard to optimize, especially on large data sets, due to their discrete parameters and structures. Ensemble methods and fuzzy/soft rules are commonly used to improve performance, but they sacrifice the model interpretability. To obtain both good scalability and interpretability, we propose a new classifier, named Rule-based Representation Learner (RRL), that automatically learns interpretable non-fuzzy rules for data representation and classification. To train the non-differentiable RRL effectively, we project it to a continuous space and propose a novel training method, called Gradient Grafting, that can directly optimize the discrete model using gradient descent. An improved design of logical activation functions is also devised to increase the scalability of RRL and enable it to discretize the continuous features end-to-end. Exhaustive experiments on nine small and four large data sets show that RRL outperforms the competitive interpretable approaches and can be easily adjusted to obtain a trade-off between classification accuracy and model complexity for different scenarios. Our code is available at: https://github.com/12wang3/rrl.

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Authors (4)
  1. Zhuo Wang (54 papers)
  2. Wei Zhang (1489 papers)
  3. Ning Liu (199 papers)
  4. Jianyong Wang (38 papers)
Citations (52)

Summary

Scalable Rule-Based Representation Learning for Interpretable Classification: An Expert Overview

The paper introduces a novel classifier called the Rule-based Representation Learner (RRL), designed to balance scalability and interpretability in machine learning models. Rule-based models, such as decision trees, are traditionally valued for their transparency but face scalability challenges with large datasets due to their discrete parameters and structures. RRL proposes an innovative solution through a gradient-based optimization approach called Gradient Grafting, which effectively trains non-differentiable rule-based models by leveraging a continuous projection.

Core Contributions

The RRL framework incorporates several key innovations:

  1. Hierarchy and Model Transparency: RRL is structured hierarchically, supporting feature discretization and rule-based representation using logical forms. This design maintains interpretability by allowing each rule to be traced back to its logical components.
  2. Gradient Grafting: This novel training method addresses the optimization of discrete parameters. By grafting gradients from the continuous space, RRL achieves direct optimization of the discrete model, circumventing the limitations of traditional heuristic or ensemble methods that often sacrifice interpretability for performance.
  3. Improved Logical Activation Functions: The authors enhance logical activation functions to mitigate the vanishing gradient problem, crucial for handling high-dimensional data. This increased scalability ensures RRL's applicability to datasets of varying sizes.
  4. End-to-End Feature Discretization: The model includes a binarization layer that allows for automatic discretization of continuous features. This capability eliminates the need for pre-processing steps that might introduce bias, thereby preserving data integrity.

Experimental Performance

Extensive experiments were conducted on 13 datasets, confirming RRL's superior performance compared to other interpretable models. RRL demonstrated a significant advantage in accuracy on eight datasets, with strong results also against complex models like XGBoost and LightGBM, which utilize ensemble methods. This performance asserts RRL's capability to learn effective representations without the complexity overhead typical of other high-performing models.

Model Complexity and Interpretability

RRL maintains a low model complexity, reflected by the concise length of its rules, making it more interpretable. The paper shows that RRL offers a favorable trade-off between complexity and accuracy, which is adjustable based on specific scenario demands. This adjustability is particularly beneficial for practitioners who need to tailor models according to varying interpretability requirements.

Implications and Future Directions

The development of RRL presents a significant step toward interpretable AI, offering a scalable solution that retains clarity and provides actionable insights through easily understandable rules. The Gradient Grafting method holds promise for application in other non-differentiable optimization contexts, potentially influencing future research in both model interpretability and learning efficiency.

Future work may extend RRL's principles to unstructured data, broadening its applicability and addressing current limitations confined to structured datasets. This expansion could further bridge the gap between model performance and interpretability, fostering broader AI adoption in sensitive domains like medicine and finance, where transparency is paramount.

In summary, the RRL represents a thoughtful integration of learning efficiency and interpretability, enhancing the potential of rule-based models in machine learning by accommodating large datasets without compromising their inherent transparency.