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# Design Doc: Parameter Server
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## Abstract

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We propose an approach to implement the parameter server. In this
approach, there is no fundamental difference between the trainer and
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the parameter server: they both run subgraphs, but subgraphs of
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different purposes.

## Background

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The previous implementations of the parameter server do not run a
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fluid sub-program. Parameter initialization, optimizer computation, network
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communication and checkpointing are implemented twice on both the
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trainer as well as the parameter server.
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It would be great if we can write code once and use them on both: the
trainer and the parameter server, since this reduces code duplication and
improves extensibility. Given that after the current refactoring, we are
representing everything as a computation graph on the
trainer. Representing everything as a computation graph on the parameter
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server becomes a natural extension.

## Design

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### Distributed Transpiler
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The *Distributed Transpiler* converts the user-defined fluid program
into sub-programs to be scheduled on different nodes with the following
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steps:
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1. OP placement: the OPs will be placed on different nodes according
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   to a heuristic that minimizes the estimated total computation
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   time. Currently we will use a simple heuristic that puts parameter
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   variable on parameter server workers and everything else on trainer
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   workers.
1. Add communication OPs to enable the communication between nodes.

We will need these OPs: *Send*, *Recv*, *Enqueue*, *Dequeue*.
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Below is an example of converting the user defined graph to the
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subgraphs for the trainer and the parameter server:
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<img src="https://raw.githubusercontent.com/PaddlePaddle/Paddle/develop/doc/fluid/images/local-graph.png" width="300"/>
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After converting:

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<img src="https://raw.githubusercontent.com/PaddlePaddle/Paddle/develop/doc/fluid/images/dist-graph.png" width="700"/>
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1. The parameter variable W and its optimizer program are placed on the parameter server.
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1. Operators are added to the program.
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   - *Send* sends data to the connected *Recv* operator.  The
	 scheduler on the receive node will only schedule *Recv* operator
	 to run when the *Send* operator has ran (the *Send* OP will mark
	 the *Recv* OP runnable automatically).
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   - *Enqueue* enqueues the input variable, it can block until space
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     become available in the queue.
   - *Dequeue* outputs configurable numbers of tensors from the
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     queue. It will block until the queue has the required number of
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     tensors.

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### Sparse Update

For embedding layers, the gradient may have many rows containing only 0 when training,
if the gradient uses a dense tensor to do parameter optimization,
it could spend unnecessary memory, slow down the calculations and waste
the bandwidth while doing distributed training.
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In Fluid, we introduce [SelectedRows](../modules/selected_rows.md) to represent a list of rows containing
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non-zero gradient data. So when we do parameter optimization both locally and remotely,
we only need to send those non-zero rows to the optimizer operators:

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<img src="https://raw.githubusercontent.com/PaddlePaddle/Paddle/develop/doc/fluid/images/sparse_update.png" width="700" />
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### Benefits

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- Model parallelism becomes easier to implement: it is an extension to
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  the trainer - parameter server approach. We can have several "Transpilers"
  to achieve different goals.
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- User-defined optimizer is easier to add - user can now express it as
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  a sub-program.
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- No more duplication logic inside the trainer and the parameter
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  server mentioned in the background section.
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### Challenges

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- It is important to balance the parameter shards on multiple
  parameter servers. If a single parameter is very big (for example: some
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  word-embedding, fully connected, softmax layer), we need to
  automatically partition the single parameter onto different
  parameter servers when possible (only element-wise optimizer depends
  on the parameter variable).
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- In the "Async SGD" figure, the "W" variable on the parameter server
  could be read and written concurrently. See
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  [here](https://github.com/PaddlePaddle/Paddle/pull/6394) for more
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  details about concurrent program in Fluid.
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### Discussion

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- Can the Enqueue OP be implemented under our current tensor design
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  (put the input tensor into the queue tensor)?
- *Dequeue* OP will have variable numbers of output (depending on the
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  `min_count` attribute), does our current design support it? (similar
  question for the *Add* OP)

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### References
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[1] [TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems](https://static.googleusercontent.com/media/research.google.com/en//pubs/archive/45166.pdf)