From bd14660ca28d87282b9acf5caa5a5a16899a166e Mon Sep 17 00:00:00 2001 From: dongzhihong Date: Mon, 31 Jul 2017 23:51:44 +0800 Subject: [PATCH] "add part of design doc" --- paddle/framework/backward.md | 39 +++++++++++++++++- paddle/framework/images/duplicate_op.graffle | Bin 0 -> 2432 bytes paddle/framework/images/duplicate_op.png | Bin 0 -> 21893 bytes paddle/framework/images/duplicate_op2.graffle | Bin 0 -> 2460 bytes paddle/framework/images/duplicate_op2.png | Bin 0 -> 28971 bytes 5 files changed, 38 insertions(+), 1 deletion(-) create mode 100644 paddle/framework/images/duplicate_op.graffle create mode 100644 paddle/framework/images/duplicate_op.png create mode 100644 paddle/framework/images/duplicate_op2.graffle create mode 100644 paddle/framework/images/duplicate_op2.png diff --git a/paddle/framework/backward.md b/paddle/framework/backward.md index 87c910ec83..74c001b06a 100644 --- a/paddle/framework/backward.md +++ b/paddle/framework/backward.md @@ -1 +1,38 @@ -## Backward Policy Design +## Operator/expression 's Backward + +### Motivation + +In Neural Network, the backpropagation algorithm follows the chain rule, so we need to compound the fundmental gradient operators/expressions together with chain rule . Every forward network need a backward network to construct the full computation lineage, the operator/ expression's Backward feature will generate the backward pass respect to forward pass. + +### Implement : gradient operator registry + +| | forward operator | backward operator | +| ---------------------- | ---------------- | -------------------------------- | +| **Operator::inputs_** | Inputs | Inputs, Outputs, OutputGradients | +| **Operator::outputs_** | Outputs | InputGradients | + +Inputs/Outputs means the input/output of the operator, InputGradients/OutputGradients is the gradient respect to forward opeartor. Forward operator and Backward operator are isomorphic, save their corresponding needs into member attribute. + +We use a global hash map record the gradient operators available, follow the philosophy of minimum core, make operator pluggable unit. Each gradient is an operator and it needs to regist itself. + +grad_op_builder(fengjiayi) + +### Implement : Backward network + +given a forward network, it generates the backward network. We only care about the Gradients—`OutputGradients`,`InputGradients`. + +1. bla bla bla (yuyang) + +2. NetOp + + when the input forward network is a NetOp, it need to call the sub NetOp/Operators backward function recursively and ensure them done. During the process, we need to collect the `OutputGradients` name. + + We share variable in the same scope, as a result, duplicate operator `OutputGradients` will overwirte then duplicate variable. + + ![./images/duplicate_op]() + + Share variable between operators or same input variable used in multiple operators lead to a duplicate gradient variable. As demo show above, we need to rename gradient name recursively, and add a generic add operator instead. + +![./images/duplicate_op2]() + +​ Then collect the sub graph OutputGradients/InputGradients as the NetOp's and return it. diff --git a/paddle/framework/images/duplicate_op.graffle b/paddle/framework/images/duplicate_op.graffle new file mode 100644 index 0000000000000000000000000000000000000000..5979f792e252f028a615729215529c2be42d9165 GIT binary patch literal 2432 zcmV-`34it)+R5QT zr>lXCW^?aoU0WYYIeOk~-rU?Ys6sV7ajk%H^CS`@7RkFq5Vi>w8ou<`p_x>AK^^$j z=bqeNd$x7O?zUT=YCCy*Q(TW*8spgyrJ%OW|*R&y#k zRbebe%l~T}%URPh8nfoKe202hs>#rY=0-#A&0v#fpTHC%o|etj`1A>FXy|@J`{WR^ zp_!I_e_v2n;dcWXSF3hJz_T_>RSw!2eri*aH*X5-$h&}L$f?F@A&3-LS!u2~EpJEk zCQ~a@?C3bJ4%l;Mi0NH+lUgul?}WHs!XI{N_<_d95g+i(6Q-t2ESc}ftVV}_WEK3( z;*~lg7+;62fDgioPPnR5g6@o{2O?(ph|yqM2iHq(rcn5ze7Q|!MIC~$y@~8i9c$Qp zPRMi9(*BL$Q_)Td5mC8*TZDsmLp~HriDHd5k4FK$>v%M%G>bJJYA-Z(DOY>R1J=D8 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