From 88f6e20e3fc54eb3ab7f6e419ed6ffa0eb36ea02 Mon Sep 17 00:00:00 2001 From: zouzou-sz <59632945+zouzou-sz@users.noreply.github.com> Date: Tue, 22 Mar 2022 19:59:42 +0800 Subject: [PATCH] add vertical ederated-learning chapter (#168) Co-authored-by: Dalong <39682259+eedalong@users.noreply.github.com> --- chapter_federated_learning/index.md | 2 + chapter_federated_learning/vertical_fl.md | 68 ++++++++++++++++++ img/ch10/ch10-federated-learning-vfl-arch.png | Bin 0 -> 57149 bytes img/ch10/ch10-federated-learning-vfl-data.png | Bin 0 -> 20830 bytes .../ch10-federated-learning-vfl-train.png | Bin 0 -> 99746 bytes 5 files changed, 70 insertions(+) create mode 100644 chapter_federated_learning/vertical_fl.md create mode 100644 img/ch10/ch10-federated-learning-vfl-arch.png create mode 100644 img/ch10/ch10-federated-learning-vfl-data.png create mode 100644 img/ch10/ch10-federated-learning-vfl-train.png diff --git a/chapter_federated_learning/index.md b/chapter_federated_learning/index.md index d57a02a..9c5ea01 100644 --- a/chapter_federated_learning/index.md +++ b/chapter_federated_learning/index.md @@ -6,6 +6,7 @@ - 掌握联邦系统架构组成部分。 - 掌握联邦平均和隐私加密算法。 - 了解联邦学习实际部署时的挑战。 +- 了解纵向联邦学习算法。 ```toc :maxdepth: 2 @@ -15,5 +16,6 @@ system_architecture fedavg privacy_encryption_algorithm challenge +vertical_fl summary ``` \ No newline at end of file diff --git a/chapter_federated_learning/vertical_fl.md b/chapter_federated_learning/vertical_fl.md new file mode 100644 index 0000000..6ffd635 --- /dev/null +++ b/chapter_federated_learning/vertical_fl.md @@ -0,0 +1,68 @@ +## 纵向联邦学习 + +现在我们介绍另一种联邦学习算法:纵向联邦学习(Vertical Federated Learning)。纵向联邦学习的参与方拥有相同样本空间、不同特征空间的数据,通过共有样本数据进行安全联合建模,在金融、广告等领域拥有广泛的应用场景。和横向联邦学习相比,纵向联邦学习的参与方之间需要协同完成数据求交集、模型联合训练和推理,实现技术方法会相对更加复杂,并且随着参与方增多复杂度越高。 + +下面以企业A和企业B两方为例来介绍纵向联邦的基本架构和流程。假设企业A有特征数据$X_a$和标签数据$Y$,可以独立建模;企业B有特征数据$X_b$,缺乏标签数据,因此无法独立建模。由于隐私法规和行业规范等原因,两个企业之间的数据无法直接互通。企业A和企业B可采用纵向联邦学习解决方案进行合作,数据不出本地,使用双方共同样本数据$X_a$、$Y$和$X_b$进行联合建模和训练。最终双方都能获得一个更强大的模型。 + +### 纵向联邦架构 + +![纵向联邦两方架构](../img/ch10/ch10-federated-learning-vfl-arch.png) +:width:`800px` +:label:`federated-learning-vfl-arch` + +纵向联邦学习系统中的模型训练一般分为如下阶段: +- 样本对齐:首先对齐企业A和企业B中具有相同ID(Identification)的样本数据。在数据对齐阶段,系统会采用加密算法对数据进行保护,确保任何一方的用户数据不会暴露。 +- 联合训练:在确定企业A和企业B共有用户数据后,可以使用这些共有的数据来协同训练一个业务模型。模型训练过程中,模型参数信息以加密方式进行传递。已训练好的联邦学习模型可以部署在联邦学习系统的各参与方。 + +### 样本对齐 + +隐私集合求交(Private Set Intersection,PSI)技术是纵向联邦学习中数据样本对齐的常用解决方案。业界PSI实现方案有多种:基于电路、基于公钥加密、基于不经意传输协议和基于全同态加密等。不同PSI方案各有优劣势。例如,基于公钥加密方案不需要辅助服务器运行,但公钥加密的计算开销大;而基于不经意传输方案计算性能高,但通信开销较大。因此在具体应用时,要根据实际场景来选择功能、性能和安全之间的最佳平衡方案。 + +基于RSA盲签名是一种基于公钥加密的经典PSI方法,也是当前业界纵向联邦学习系统中广泛应用的技术之一。下面以企业A和企业B为例描述RSA盲签名算法的基本流程。 + +![纵向联邦样本对齐](../img/ch10/ch10-federated-learning-vfl-data.png) +:width:`600px` +:label:`federated-learning-vfl-data` + + +企业A作为服务端,拥有标签数据和样本ID集合$\{a_1, a_2, …,a_w\}$。企业B则作为客户端,拥有样本ID集合$\{b_1, b_2, …,b_v\}$。 +首先,在企业A的服务端利用RSA算法生成私钥和公钥。其中,私钥$(n,d)$保留在服务端,公钥$(n,e)$则发送给企业B的客户端。 + +在服务端侧生成RSA计算样本对齐ID的签名: +$$t_j=H^{'}(K_{a:j})$$ +其中, +$K_{a:j}=(H(a_j))^d \ mod \ n$,是采用私钥$d$加密的对$H(a_j)$的RSA加密的结果。$H()$和$H^{'}()$是哈希函数。 +同样,在客户端侧对样本ID进行公钥加密,并乘以一个随机数$R_{b,i}$用于加盲扰动: +$$y_i=H(b_i)\cdot(R_{b,i})^e \ mod \ n$$ +客户端侧将上述计算出来的$\{y_1,...,y_v\}$值传输给服务端侧。服务端侧收到$y_i$值后,使用私钥$d$进行签名并计算: +$$y_i^{'}=y_i^d \ mod \ n$$ +然后将计算出的$\{y_1^{'},...,y_v^{'}\}$和$\{t_1,...,t_w\}$发送给客户端侧。 +而客户端侧收到$y_i^{'}$和$t_j$后,首先完成去盲操作: +$$K_{b:i}={y_i}^{'}/R_{b,i}$$ +并将自己的ID签名与服务端发过来的ID签名进行样本对齐,得到加密和哈希组合状态下的ID交集$I$, +$${t_i}^{'}=H^{'}(K_{b:i}) \\I=\{t_1,...,t_w\}\cap \{{t_1}^{'},...,{t_v}^{'}\}$$ + +最后,将对齐后的样本ID交集$I$发送给服务端,服务端利用自身的映射表单独求取明文结果。这样企业A和企业B在加密状态下完成了求取相交的用户集合,并且在整个过程中双方非重叠样本ID都不会对外暴露。 + +### 联合训练 + +在确样本ID对齐后,就可以使用这些公共的数据来训练机器学习模型。目前,线性回归、决策树和神经网络等模型已经被广泛应用到纵向联邦系统中。 +在纵向联邦的模型训练过程中,一般会引入第三方协作者C来实现中心服务器功能,并且假设这个第三方协作者C是可信的,不会与其他参与方合谋。中心服务器在训练过程中作为中立方,产生和分发密钥,并对加密数据进行解密和计算。但中心服务器角色是非必须的,例如在两方联邦学习的场景下,不需要第三方协作者C来协调双方的训练任务,可以由具有标签数据的企业A来充当中心服务服务器的角色。不失一般性,下面继续以包含第三方协作者C的方案来描述纵向联邦模型联合训练过程。 + +![纵向联邦联合建模](../img/ch10/ch10-federated-learning-vfl-train.png) +:width:`800px` +:label:`federated-learning-vfl-train` + +- 第一步:由第三方协作者C创建密钥对,将公钥发送给企业A和B。 +- 第二步:在企业A和B侧分别计算梯度和损失计算需要的中间结果,并进行加密和交换。 +- 第三步:企业A和B分别计算加密梯度和添加掩码。同时企业A还将计算加密损失值。计算完成后,企业A和B向第三方协作者C发送加密后的值。 +- 第四步:第三方协作者C对梯度和损失值解密,然后将结果发送回企业A和B。 +- 第五步:企业A和B将收到的值首先去除梯度上的掩码,然后更新本地模型参数。 + +在整个训练过程中,企业A和B之间的任何敏感数据都是经过加密算法加密之后再发出己信任域。同态加密(Homomorphic Encryption,HE)是业界联邦学习框架常用的算法之一。同态加密是指加密过后的两份数据进行某些运算之后直接解密,可以得到真实数据经过相同运算的结果。当这种运算是加法时,就称为加法同态加密。将加密函数记为$[[\cdot]]$,加法同态加密具有如下特征: +$$[[a+b]]=[[a]]+[[b]]$$ +Paillier算法是一种满足加法的同态加密算法,已经广泛应用在第三方数据处理领域和信号处理领域。在纵向联邦学习中,通常采用Paillier加密算法对损失函数和梯度进行加密,从而实现跨机构的模型安全联合训练。 + +模型联合训练完成后就可以投入生产环境部署应用。由于纵向联邦中每个参与方具有部分模型结构,因此推理也需要双方协作完成计算。联合推理过程和联合训练类似,首先第三方协作者C将推理数据ID发送给企业A和B,双方在本地完成推理计算后将结果加密后传输到第三方协作者C,由C计算模型最终的联合推理结果。 + + diff --git a/img/ch10/ch10-federated-learning-vfl-arch.png b/img/ch10/ch10-federated-learning-vfl-arch.png new file mode 100644 index 0000000000000000000000000000000000000000..656882e3469c200695874b44b9c79835102b289b GIT binary patch literal 57149 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