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软件学报 ISSN 1000-9825, CODEN RUXUEW                                        E-mail: jos@iscas.ac.cn
                 2026,37(7):2989−3012 [doi: 10.13328/j.cnki.jos.007548] [CSTR: 32375.14.jos.007548]  http://www.jos.org.cn
                 ©中国科学院软件研究所版权所有.                                                          Tel: +86-10-62562563



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                 PBAT: 基于代理分布的深度学习模型防御加固方法

                 杨    波  1,2 ,    熊    倩  1 ,    徐    珞  3


                 1
                  (北京林业大学 信息学院, 北京 100083)
                 2
                  (国家林业草原林业智能信息处理工程技术研究中心 (北京林业大学), 北京 100083)
                 3
                  (中国电子科技集团公司 信息科学研究院, 北京 100040)
                 通信作者: 杨波, E-mail: yangbo@bjfu.edu.cn

                 摘 要: 深度学习模型存在一定的安全隐患, 和这些模型关联的应用一旦发生安全事故, 很可能带来难以承受的后
                 果. 为此, 需要对深度学习模型进行加固. 已有的加固方法包括针对对抗性噪声的对抗性训练方法、对抗噪声净化
                 方法等. 对抗训练作为其中最常使用的方法具有较好的对抗攻击防御效果. 但是, 对抗训练后的模型容易出现鲁棒
                 泛化不足的问题, 且会牺牲较多的原始精度. 基于此提出一种基于代理分布的对抗训练 (proxy-distribution-based
                 adversarial training, PBAT) 方法. 该方法利用概率模型捕获数据样本分布规律, 以生成能够协调原始精度和鲁棒性
                 能的增强训练样本. 然后通过调整训练过程实现对模型的加固. 利用                     ResNet-20  和  GoogLeNet 在  2  个典型的数据
                 集  CIFAR10  和  MNIST  上开展实验, 并进一步在   Faster R-CNN  模型和  PASCAL VOC  数据集上针对目标检测任务
                 开展实验. 实验结果表明, PBAT       比其他  4  种典型的方法效果要好.
                 关键词: 深度学习模型; 模型加固; 模型防御; 对抗网络
                 中图法分类号: TP183

                 中文引用格式: 杨波, 熊倩, 徐珞. PBAT: 基于代理分布的深度学习模型防御加固方法. 软件学报, 2026, 37(7): 2989–3012. http://
                 www.jos.org.cn/1000-9825/7548.htm
                 英文引用格式: Yang  B,  Xiong  Q,  Xu  L.  PBAT:  Defense  Reinforcement  Method  for  Deep  Learning  Models  Based  on  Proxy
                 Distribution. Ruan Jian Xue Bao/Journal of Software, 2026, 37(7): 2989–3012 (in Chinese). http://www.jos.org.cn/1000-9825/7548.htm

                 PBAT: Defense Reinforcement Method for Deep Learning Models Based on Proxy Distribution
                                     1
                        1,2
                 YANG Bo , XIONG Qian , XU Luo 3
                 1
                 (School of Information Science and Technology, Beijing Forestry University, Beijing 100083, China)
                 2
                 (Engineering  Research  Center  for  Forestry-oriented  Intelligent  Information  Processing  of  National  Forestry  and  Grassland  Administration
                  (Beijing Forestry University), Beijing 100083, China)
                 3
                 (Information Science Academy, China Electronics Technology Group Co., Beijing 100040, China)
                 Abstract:  Deep  learning  models  face  some  security  risks,  and  security  breaches  in  their  applications  can  lead  to  severe  consequences.
                 Enhancing  the  security  of  deep  learning  models  is  therefore  necessary.  Existing  reinforcement  methods  include  adversarial  training  against
                 adversarial noise, adversarial noise purification methods, and others. Among them, adversarial training is the most widely used method and
                 provides  effective  defense  against  adversarial  attacks.  However,  models  trained  with  adversarial  training  often  suffer  from  insufficient
                 robust  generalization  and  considerable  loss  of  original  accuracy.  To  address  these  issues,  this  study  proposes  a  new  adversarial  training
                 method  called  proxy-distribution-based  adversarial  training  (PBAT).  The  proposed  method  employs  a  probabilistic  model  to  capture  the
                 distribution  patterns  of  data  samples  and  generate  enhanced  training  samples  that  balance  original  accuracy  and  robustness.  The  resilience
                 of the model is further enhanced through an adjusted training process. Experiments are conducted using ResNet-20 and GoogLeNet on two
                 benchmark  datasets,  CIFAR10  and  MNIST.  Furthermore,  experiments  are  conducted  on  the  Faster  R-CNN  model  and  the  PASCAL  VOC


                 *    基金项目: 国家重点研发计划 (2023YFD2201805)
                  收稿时间: 2024-09-06; 修改时间: 2025-04-21, 2025-05-30; 采用时间: 2025-09-03; jos 在线出版时间: 2026-04-29
                  CNKI 网络首发时间: 2026-04-30
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