ftrl_op.cc

/* Copyright (c) 2016 PaddlePaddle Authors. All Rights Reserve.

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License. */

#include "paddle/operators/ftrl_op.h"

namespace paddle {
namespace operators {

class FTRLOp : public framework::OperatorWithKernel {
 public:
  using framework::OperatorWithKernel::OperatorWithKernel;

 protected:
  void InferShape(framework::InferShapeContext *ctx) const override {
    PADDLE_ENFORCE(ctx->HasInput("Param"),
                   "Input(Param) of FTRL should not be null.");
    PADDLE_ENFORCE(ctx->HasInput("SquaredAccumulator"),
                   "Input(SquaredAccumulator) of FTRL should not be null.");
    PADDLE_ENFORCE(ctx->HasInput("LinearAccumulator"),
                   "Input(LinearAccumulator) of FTRL should not be null.");
    PADDLE_ENFORCE(ctx->HasInput("Grad"),
                   "Input(Grad) of FTRL should not be null.");
    PADDLE_ENFORCE(ctx->HasInput("LearningRate"),
                   "Input(LearningRate) of FTRL should not be null.");

    PADDLE_ENFORCE(ctx->HasOutput("ParamOut"),
                   "Output(ParamOut) of FTRL should not be null.");
    PADDLE_ENFORCE(ctx->HasOutput("SquaredAccumOut"),
                   "Output(SquaredAccumOut) of FTRL should not be null.");
    PADDLE_ENFORCE(ctx->HasOutput("LinearAccumOut"),
                   "Output(LinearAccumOut) of FTRL should not be null.");

    auto param_dim = ctx->GetInputDim("Param");
    PADDLE_ENFORCE_EQ(param_dim, ctx->GetInputDim("Grad"),
                      "Two input of FTRL Op's dimension must be same.");

    auto lr_dim = ctx->GetInputDim("LearningRate");
    PADDLE_ENFORCE_EQ(framework::product(lr_dim), 1,
                      "Learning Rate should be a scalar.");

    ctx->SetOutputDim("ParamOut", param_dim);
    ctx->SetOutputDim("SquaredAccumOut", param_dim);
    ctx->SetOutputDim("LinearAccumOut", param_dim);
  }
};

class FTRLOpMaker : public framework::OpProtoAndCheckerMaker {
 public:
  FTRLOpMaker(framework::OpProto *proto, framework::OpAttrChecker *op_checker)
      : OpProtoAndCheckerMaker(proto, op_checker) {
    AddInput("Param",
             "(Tensor, default Tensor<float>) "
             "Input parameter value that has to be updated.");
    AddInput("SquaredAccumulator",
             "(Tensor, default Tensor<float>) "
             "Accumulator that accumulates squared gradients.");
    AddInput("LinearAccumulator",
             "(Tensor, default Tensor<float>) "
             "Accumulator that accumulates linear gradients.");
    AddInput("Grad",
             "(Tensor, default Tensor<float>) "
             "Input gradient of the parameter.");
    AddInput("LearningRate",
             "(Tensor, default Tensor<float>) "
             "The learning rate should be a tensor of size 1.");

    AddOutput("ParamOut", "(Tensor) Output updated parameter value.");
    AddOutput("SquaredAccumOut",
              "(Tensor) Output accumulated squared"
              " gradients.");
    AddOutput("LinearAccumOut",
              "(Tensor) Output accumulated linear"
              " gradients.");

    AddAttr<float>("l1",
                   "(float, default 0.0) "
                   "L1 regularization strength.")
        .SetDefault(0.0f);
    AddAttr<float>("l2",
                   "(float, default 0.0) "
                   "L2 regularization strength.")
        .SetDefault(0.0f);
    AddAttr<float>("lr_power",
                   "(float, default -0.5f) "
                   "Learning Rate Power.")
        .SetDefault(-0.5f);
    AddComment(R"DOC(
FTRL (Follow The Regularized Leader) Operator.

Optimizer that implements the FTRL algorithm:

$$
new\_accum = squared\_accum + grad^2 \\
if (lr\_power == -0.5) {
   linear\_accum += grad - (\surd(new\_accum) - \surd(squared\_accum)) /
                   (learning\_rate * param) \\
} else {
   linear\_accum += grad -
                  (new\_accum^{-lr\_power} - accum^{-lr\_power}) /
                  (learning\_rate * param) \\
}

x = (l1 * sign(linear\_accum) - linear\_accum)
if (lr\_power == -0.5) {
   y = \frac{\surd(new\_accum)}{learning\_rate} + (2 * l2) \\
   pre\_shrink = \frac{x}{y} \\
   param = (abs(linear\_accum) > l1).select(pre\_shrink, 0.0) \\
} else {
   y = \frac{new\_accum^{-lr\_power}}{learning\_rate} + (2 * l2) \\
   pre\_shrink = \frac{x}{y} \\
   param = (abs(linear\_accum) > l1).select(pre\_shrink, 0.0) \\
}
squared\_accum += grad^2;
$$

The paper that proposed Follow The Regularized Leader (FTRL):
(https://www.eecs.tufts.edu/~dsculley/papers/ad-click-prediction.pdf)

)DOC");
  }
};
}  // namespace operators
}  // namespace paddle

namespace ops = paddle::operators;
REGISTER_OP_WITHOUT_GRADIENT(ftrl, ops::FTRLOp, ops::FTRLOpMaker);
REGISTER_OP_CPU_KERNEL(ftrl,
                       ops::FTRLOpKernel<paddle::platform::CPUPlace, float>);