Cycles in MediaPipe Graphs


By default, MediaPipe requires calculator graphs to be acyclic and treats cycles in a graph as errors. If a graph is intended to have cycles, the cycles need to be annotated in the graph config. This page describes how to do that.

NOTE: The current approach is experimental and subject to change. We welcome your feedback.

Please use the CalculatorGraphTest.Cycle unit test in mediapipe/framework/ as sample code. Shown below is the cyclic graph in the test. The sum output of the adder is the sum of the integers generated by the integer source calculator.

A cyclic grapha cyclic graph that adds a stream of integers

This simple graph illustrates all the issues in supporting cyclic graphs.

Back Edge Annotation

We require that an edge in each cycle be annotated as a back edge. This allows MediaPipe’s topological sort to work, after removing all the back edges.

There are usually multiple ways to select the back edges. Which edges are marked as back edges affects which nodes are considered as upstream and which nodes are considered as downstream, which in turn affects the priorities MediaPipe assigns to the nodes.

For example, the CalculatorGraphTest.Cycle test marks the old_sum edge as a back edge, so the Delay node is considered as a downstream node of the adder node and is given a higher priority. Alternatively, we could mark the sum input to the delay node as the back edge, in which case the delay node would be considered as an upstream node of the adder node and is given a lower priority.

Initial Packet

For the adder calculator to be runnable when the first integer from the integer source arrives, we need an initial packet, with value 0 and with the same timestamp, on the old_sum input stream to the adder. This initial packet should be output by the delay calculator in the Open() method.

Delay in a Loop

Each loop should incur a delay to align the previous sum output with the next integer input. This is also done by the delay node. So the delay node needs to know the following about the timestamps of the integer source calculator:

  • The timestamp of the first output.
  • The timestamp delta between successive outputs.

We plan to add an alternative scheduling policy that only cares about packet ordering and ignores packet timestamps, which will eliminate this inconvenience.

Early Termination of a Calculator When One Input Stream is Done

By default, MediaPipe calls the Close() method of a non-source calculator when all of its input streams are done. In the example graph, we want to stop the adder node as soon as the integer source is done. This is accomplished by configuring the adder node with an alternative input stream hander, EarlyCloseInputStreamHandler.

Relevant Source Code

Delay Calculator

Note the code in Open() that outputs the initial packet and the code in Process() that adds a (unit) delay to input packets. As noted above, this delay node assumes that its output stream is used alongside an input stream with packet timestamps 0, 1, 2, 3, …

class UnitDelayCalculator : public Calculator {
  static ::util::Status FillExpectations(
      const CalculatorOptions& extendable_options, PacketTypeSet* inputs,
      PacketTypeSet* outputs, PacketTypeSet* input_side_packets) {
    inputs->Index(0)->Set<int>("An integer.");
    outputs->Index(0)->Set<int>("The input delayed by one time unit.");
    return ::mediapipe::OkStatus();

  ::util::Status Open() final {
    Output()->Add(new int(0), Timestamp(0));
    return ::mediapipe::OkStatus();

  ::util::Status Process() final {
    const Packet& packet = Input()->Value();
    return ::mediapipe::OkStatus();

Graph Config

Note the back_edge annotation and the alternative input_stream_handler.

node {
  calculator: 'GlobalCountSourceCalculator'
  input_side_packet: 'global_counter'
  output_stream: 'integers'
node {
  calculator: 'IntAdderCalculator'
  input_stream: 'integers'
  input_stream: 'old_sum'
  input_stream_info: {
    tag_index: ':1'  # 'old_sum'
    back_edge: true
  output_stream: 'sum'
  input_stream_handler {
    input_stream_handler: 'EarlyCloseInputStreamHandler'
node {
  calculator: 'UnitDelayCalculator'
  input_stream: 'sum'
  output_stream: 'old_sum'