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Explaining NonLinear Classification Decisions with Deep Taylor Decomposition (1512.02479v1)

Published 8 Dec 2015 in cs.LG and stat.ML

Abstract: Nonlinear methods such as Deep Neural Networks (DNNs) are the gold standard for various challenging machine learning problems, e.g., image classification, natural language processing or human action recognition. Although these methods perform impressively well, they have a significant disadvantage, the lack of transparency, limiting the interpretability of the solution and thus the scope of application in practice. Especially DNNs act as black boxes due to their multilayer nonlinear structure. In this paper we introduce a novel methodology for interpreting generic multilayer neural networks by decomposing the network classification decision into contributions of its input elements. Although our focus is on image classification, the method is applicable to a broad set of input data, learning tasks and network architectures. Our method is based on deep Taylor decomposition and efficiently utilizes the structure of the network by backpropagating the explanations from the output to the input layer. We evaluate the proposed method empirically on the MNIST and ILSVRC data sets.

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Authors (5)
  1. Grégoire Montavon (50 papers)
  2. Sebastian Bach (7 papers)
  3. Alexander Binder (38 papers)
  4. Wojciech Samek (144 papers)
  5. Klaus-Robert Müller (167 papers)
Citations (673)

Summary

  • The paper introduces Deep Taylor Decomposition to break down nonlinear classification decisions by redistributing output relevance to input features.
  • It employs Taylor expansion to propagate first-order effects layer by layer, generating heatmaps that reveal influential input regions.
  • Experimental evaluations on MNIST and ILSVRC benchmarks demonstrate its superior relevance consistency compared to traditional sensitivity analysis.

Deep Taylor Decomposition for Nonlinear Classification Explanations

In the domain of machine learning, Deep Neural Networks (DNNs) have set a high standard in tackling complex tasks such as image classification and natural language processing. Despite their success, these models often operate as black boxes, making it difficult to understand the rationale behind their predictions. This paper introduces a methodology known as Deep Taylor Decomposition, aimed at providing insights into the decision-making processes of neural networks by decomposing classification decisions into input element contributions.

Methodology Overview

The authors propose Deep Taylor Decomposition as a technique to break down the non-linear decision-making process of multilayer neural networks. The primary aim is to bridge functional and rule-based approaches to interpretation. The method uniquely backpropagates explanations through the network from the output to the input, efficiently utilizing the structure of the network.

The decomposition is achieved by applying Taylor expansion to the network and emphasizing first-order effects to distribute relevance from output to input. This relevance redistribution is performed layer by layer while preserving total relevance, thus ensuring a consistent explanation of the network's decision-making. The approach is generic and can be adapted to a wide range of input data types, learning tasks, and network architectures.

Numerical Evaluation

The methodology is empirically evaluated on standard benchmarks, namely MNIST and ILSVRC datasets. The evaluations highlight the effectiveness of the decomposition in creating heatmaps that visually explain which parts of the input data contribute to the neural network's decision. Deep Taylor Decomposition is demonstrated to outperform traditional sensitivity analysis methods by maintaining consistent relevance propagation and better visualization quality.

Implications

The practical implications of this work are significant, particularly in areas requiring model transparency for safety and ethical reasons, such as healthcare and autonomous systems. By providing a clear unpacking of how input elements contribute to decisions, Deep Taylor Decomposition can enhance trust and facilitate further fine-tuning of DNNs.

Theoretically, the paper proposes a novel intersection of Taylor decomposition techniques with neural network interpretation, offering a rigorous approach to explaining nonlinear decisions. The methodology reconciles differences between various previous approaches to neural network interpretation, providing a unified framework for analysis.

Future Prospects

The proposed methodology opens new avenues for further research into transparent AI. Future work could extend this decomposition technique to other model architectures and evaluate its applicability to more complex multi-task learning scenarios. Exploring the combination of Deep Taylor Decomposition with real-time interpretability features in dynamic systems could be an engaging domain of paper as well.

In conclusion, Deep Taylor Decomposition offers a comprehensive and efficient approach to demystifying the complex decision processes within deep learning models. Its ability to provide transparent and consistent input-output relevance mappings positions it as a significant contribution to the interpretability of nonlinear machine learning algorithms.