深度学习模型可解释性方法简介(一)

June 15, 2021 |  Categories:  模型可解释性  

近年来, 随着深度学习的发展, 模型可解释性越来越受到关注. 在很多情况下, 一个结果可解释的模型往往比不具备可解释性的模型更受偏爱和信任. 然而, 深度学习的模型并不总是"透明"的, 尝试理解看上去近似"黑盒"的模型也是深度学习中一项具有挑战性的任务. 当深度学习抛弃啦传统机器学习手工特征的时候, 随之而来的是我们很难知道那种特征对模型起着重要的作用. 本篇文章就来简单介绍下深度学习中可解释性的一些常用方法.


Gradient Based Sensitivity Analysis (GbSA)



基于梯度敏感性分析的方法是很多模型可解释性方案的初发点. 它的想法很简单, 就是通过计算关联模型输出对某一输入特征的偏微分, 进而获得模型对这一输入特征微小变化所产生的输出变化, 从而得到模型对对应输入特征敏感性的一个评估. 它假设模型对特征越敏感, 则说明此特征对模型越重要.


这个方法的缺点是它对非独立, 相关联的特征不好使, 且对每一个输入特征的每一维度都需要独立的进行相似的梯度分析, 例如对与NLP中维度为D的词向量进行GbSA分析, 我需要计算一个维度为D的敏感度量向量, 并计算其L2-norm做为一个最终的度量, 计算量相对来说比较大, 不过仍然在可接受范围内:


另外一个缺点是, 它假设了敏感性等同于相关性, 然而这个敏感性同时也受模型训练的影响, 通过梯度得到的敏感性可能只是噪声.


更重要的一个缺点, GbSA对求解偏微分的步长h很敏感, 即:

改变h对结构有着较大影响. 后文介绍的DeepLIFT和IG方法就是以解决此问题为优化点的.


Local Interpretable Model-Agnostic Explanations (LIME)



LIME方法是由Ribeiro等人在2016年提出的[1].  LIME认为近似"黑盒"的模型其内部决策函数非常复杂, 以至于不能用一个线性模型或者简单模型来近似. 为了解释任何样本输入对模型的影响, 我们可以造出更多已有输入样例周围的"伪样例", 并且让模型提供针对这些"伪样例"的决策. 最终, LIME假设模型在输入样例附近局部的行为可以用简单模型来近似, 比如线性模型.




Integrated Gradients (IG)



Sundararjan等人于2017年提出了IG方法, 不同与前文所述方法是在某一输入特征/样例局部做梯度计算得到敏感性的判断, IG首先假设有一个"基样例" , x', 对于每一个真实输入样例x, 计算模型输出对于输入样例变化的梯度, 这个输入样例变化是由x'到x定义的. 这样就得到了IG中G(梯度, Gradient)的部分. 对于I(Integrated, 积分)部分, 提出对输入样例的每一个维度单独做梯梯度积分: 

从上式看出, IG方法假设了x到x'存在一条线性变化的路经,  分别对对应输入样例的每个特征维度的上述路经做如上积分并以其差值作权, 得到积分梯度(IG).


DeepLIFT



2017年由Shrikumar等提出的DeepLIFT[3] 相当于是GbSA的增强版, 它借鉴了上述的IG, 在做GbSA做梯度计算时时使用了参照样例, 使得其比GbSA更稳定. 


SHAP explanation


SHAP 也是在2017年提出[4], 它尝试从模型参数层面获得解释性. 记模型的所有可学习参数集和为F, 我们在多个F的子集和S上训练模型, 通过包含/排除某一个F中的参数i, 我们可以计算该参数的一个相关系数. 最终,, 通过整合该参数在不同情景下的结果(加权), 我们得到一个该参数i对于模型的一个最终相关系数. 如果记这个相关系数对于样例x的函数为f(x), 则SHAP的可解释性打分由一下关系获得:



Layer-wise Relevance Propagation (LRP)



LRP[5] 不同以往, 它并不依靠偏微分来寻求模型对输入特征的敏感性, 而是通过分解函数实现.

  1. 首先进行数值的前向传播
  2. 通过输出经行LRP后向传播流
  3. 计算每个参数的相关系数.



其它方法



还有一些其它方法尝试解释深度学习模型, 这里简单列出其中一部分:




References


[1] Ribeiro, M. T., Singh, S., and Guestrin, C. (2016). Model-agnostic interpretability of machine learning.arXiv preprintarXiv:1606.05386

[2] Sundararajan, M., Taly, A., and Yan, Q. (2017). Axiomatic attribution for deep networks. InProceedings of the 34thInternational Conference on Machine Learning-Volume 70, pages 3319–3328. JMLR. org

[3] Shrikumar, A., Greenside, P., and Kundaje, A. (2017). Learning important features through propagating activation differences.InProceedings of the 34th International Conference on Machine Learning-Volume 70, pages 3145–3153. JMLR. org

[4] Lundberg, S. M. and Lee, S.-I. (2017). A unified approach to interpreting model predictions. InAdvances in Neural InformationProcessing Systems, pages 4765–4774.

[5] Bach, S., Binder, A., Montavon, G., Klauschen, F., M ̈uller, K.-R., and Samek, W. (2015). On pixel-wise explanations fornon-linear classifier decisions by layer-wise relevance propagation.PloS one, 10(7):e0130140

[6] Datta,  A.,  Sen,  S.,  and  Zick,  Y.  (2016).   Algorithmic  transparency  via  quantitative  input  influence:  Theory  and  experimentswith learning systems.  In2016 IEEE symposium on security and privacy (SP), pages 598–617. IEEE

[7] Lei, J., G’Sell, M., Rinaldo, A., Tibshirani, R. J., and Wasserman, L. (2018). Distribution-free predictive inference for regression.Journal of the American Statistical Association, 113(523):1094–1111.

[8] Hu, L., Chen, J., Nair, V. N., and Sudjianto, A. (2018). Locally interpretable models and effects based on supervised partitioning(lime-sup).arXiv preprint arXiv:1806.00663

[9] Vaughan, J., Sudjianto, A., Brahimi, E., Chen, J., and Nair, V. N. (2018). Explainable neural networks based on additive indexmodels.arXiv preprint arXiv:1806.01933.



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