opensearch-docs-cn/_ml-commons-plugin/algorithms.md

28 KiB

layout title has_children nav_order
default Supported algorithms false 125

Supported algorithms

ML Commons supports various algorithms to help train and predict machine learning (ML) models or test data-driven predictions without a model. This page outlines the algorithms supported by the ML Commons plugin and the API operations they support.

Common limitations

Except for the Localization algorithm, all of the following algorithms can only support retrieving 10,000 documents from an index as an input.

K-means

K-means is a simple and popular unsupervised clustering ML algorithm built on top of Tribuo library. K-means will randomly choose centroids, then calculate iteratively to optimize the position of the centroids until each observation belongs to the cluster with the nearest mean.

Parameters

Parameter Type Description Default value
centroids integer The number of clusters in which to group the generated data 2
iterations integer The number of iterations to perform against the data until a mean generates 10
distance_type enum, such as EUCLIDEAN, COSINE, or L1 The type of measurement from which to measure the distance between centroids EUCLIDEAN

Supported APIs

Example

The following example uses the Iris Data index to train k-means synchronously.

POST /_plugins/_ml/_train/kmeans
{
    "parameters": {
        "centroids": 3,
        "iterations": 10,
        "distance_type": "COSINE"
    },
    "input_query": {
        "_source": ["petal_length_in_cm", "petal_width_in_cm"],
        "size": 10000
    },
    "input_index": [
        "iris_data"
    ]
}

Limitations

The training process supports multithreading, but the number of threads must be less than half of the number of CPUs.

Linear regression

Linear regression maps the linear relationship between inputs and outputs. In ML Commons, the linear regression algorithm is adopted from the public machine learning library Tribuo, which offers multidimensional linear regression models. The model supports the linear optimizer in training, including popular approaches like Linear Decay, SQRT_DECAY, ADA, ADAM, and RMS_DROP.

Parameters

Parameter Type Description Default value
learningRate Double The initial step size used in an iterative optimization algorithm. 0.01
momentumFactor Double The extra weight factors that accelerate the rate at which the weight is adjusted. This helps move the minimization routine out of local minima. 0
epsilon Double The value for stabilizing gradient inversion. 1.00E-06
beta1 Double The exponential decay rates for the moment estimates. 0.9
beta2 Double The exponential decay rates for the moment estimates. 0.99
decayRate Double The Root Mean Squared Propagation (RMSProp). 0.9
momentumType String The defined Stochastic Gradient Descent (SGD) momentum type that helps accelerate gradient vectors in the right directions, leading to a fast convergence. STANDARD
optimizerType String The optimizer used in the model. SIMPLE_SGD

Supported APIs

Example

The following example creates a new prediction based on the previously trained linear regression model.

Example request

POST _plugins/_ml/_predict/LINEAR_REGRESSION/ROZs-38Br5eVE0lTsoD9
{
  "parameters": {
    "target": "price"
  },
  "input_data": {
    "column_metas": [
      {
        "name": "A",
        "column_type": "DOUBLE"
      },
      {
        "name": "B",
        "column_type": "DOUBLE"
      }
    ],
    "rows": [
      {
        "values": [
          {
            "column_type": "DOUBLE",
            "value": 3
          },
          {
            "column_type": "DOUBLE",
            "value": 5
          }
        ]
      }
    ]
  }
}

Example response

{
  "status": "COMPLETED",
  "prediction_result": {
    "column_metas": [
      {
        "name": "price",
        "column_type": "DOUBLE"
      }
    ],
    "rows": [
      {
        "values": [
          {
            "column_type": "DOUBLE",
            "value": 17.25701855310131
          }
        ]
      }
    ]
  }
}

Limitations

ML Commons only supports the linear Stochastic gradient trainer or optimizer, which cannot effectively map the non-linear relationships in trained data. When used with complicated datasets, the linear Stochastic trainer might cause some convergence problems and inaccurate results.

RCF

Random Cut Forest (RCF) is a probabilistic data structure used primarily for unsupervised anomaly detection. Its use also extends to density estimation and forecasting. OpenSearch leverages RCF for anomaly detection. ML Commons supports two new variants of RCF for different use cases:

  • Batch RCF: Detects anomalies in non-time-series data.
  • Fixed in time (FIT) RCF: Detects anomalies in time-series data.

Parameters

RCF supports the following parameters.

Batch RCF

Parameter Type Description Default value
number_of_trees integer The number of trees in the forest. 30
sample_size integer The same size used by the stream samplers in the forest. 256
output_after integer The number of points required by stream samplers before results return. 32
training_data_size integer The size of your training data. Dataset size
anomaly_score_threshold double The threshold of the anomaly score. 1.0

Fit RCF

All parameters are optional except time_field.

Parameter Type Description Default value
number_of_trees integer The number of trees in the forest. 30
shingle_size integer A shingle, or a consecutive sequence of the most recent records. 8
sample_size integer The sample size used by stream samplers in the forest. 256
output_after integer The number of points required by stream samplers before results return. 32
time_decay double The decay factor used by stream samplers in the forest. 0.0001
anomaly_rate double The anomaly rate. 0.005
time_field string (Required) The time field for RCF to use as time-series data. N/A
date_format string The date and time format for the time_field field. yyyy-MM-ddHH:mm:ss
time_zone string The time zone for the time_field field. UTC

Supported APIs

Limitations

For FIT RCF, you can train the model with historical data and store the trained model in your index. The model will be deserialized and predict new data points when using the Predict API. However, the model in the index will not be refreshed with new data, because the model is fixed in time.

RCF Summarize

RCF Summarize is a clustering algorithm based on the Clustering Using Representatives (CURE) algorithm. Compared to k-means, which uses random iterations to cluster, RCF Summarize uses a hierarchical clustering technique. The algorithm starts, with a set of randomly selected centroids larger than the centroids' ground truth distribution. During iteration, centroid pairs too close to each other automatically merge. Therefore, the number of centroids (max_k) converge to a rational number of clusters that fits ground truth, as opposed to a fixed k number of clusters.

Parameters

Parameter Type Description Default value
max_k Integer The max allowed number of centroids. 2
distance_type String. Valid values are EUCLIDEAN, L1, L2, and LInfinity The type of measurement used to measure the distance between centroids. EUCLIDEAN

Supported APIs

Example: Train and predict

The following example estimates cluster centers and provides cluster labels for each sample in a given data frame.

Example request

POST _plugins/_ml/_train_predict/RCF_SUMMARIZE
{
  "parameters": {
    "centroids": 3,
    "max_k": 15,
    "distance_type": "L2"
  },
  "input_data": {
    "column_metas": [
      {
        "name": "d0",
        "column_type": "DOUBLE"
      },
      {
        "name": "d1",
        "column_type": "DOUBLE"
      }
    ],
    "rows": [
      {
        "values": [
          {
            "column_type": "DOUBLE",
            "value": 6.2
          },
          {
            "column_type": "DOUBLE",
            "value": 3.4
          }
        ]
      }
    ]
  }
}

Example response

The rows parameter within the prediction result has been modified for length. In your response, expect more rows and columns to be contained within the response body.

{
  "status": "COMPLETED",
  "prediction_result": {
    "column_metas": [
      {
        "name": "ClusterID",
        "column_type": "INTEGER"
      }
    ],
    "rows": [
      {
        "values": [
          {
            "column_type": "DOUBLE",
            "value": 0
          }
        ]
      }
    ]
  }
}

Localization

The Localization algorithm finds subset-level information for aggregate data (for example, aggregated over time) that demonstrates the activity of interest, such as spikes, drops, changes, or anomalies. Localization can be applied in different scenarios, such as data exploration or root cause analysis, to expose the contributors driving the activity of interest in the aggregate data.

Parameters

All parameters are required except filter_query and anomaly_start.

Parameter Type Description Default value
index_name String The data collection to analyze. N/A
attribute_field_names List The fields for entity keys. N/A
aggregations List The fields and aggregation for values. N/A
time_field_name String The timestamp field. null
start_time Long The beginning of the time range. 0
end_time Long The end of the time range. 0``
min_time_interval Long The minimum time interval/scale for analysis. 0
num_outputs Integer The maximum number of values from localization/slicing. 0
filter_query Long (Optional) Reduces the collection of data for analysis. N/A
anomal`y_star Time units (Optional) The time after which the data will be analyzed. N/A

Example: Execute localization

The following example executes Localization against an RCA index.

Example request

POST /_plugins/_ml/_execute/anomaly_localization
{
  "index_name": "rca-index",
  "attribute_field_names": [
    "attribute"
  ],
  "aggregations": [
    {
      "sum": {
        "sum": {
          "field": "value"
        }
      }
    }
  ],
  "time_field_name": "timestamp",
  "start_time": 1620630000000,
  "end_time": 1621234800000,
  "min_time_interval": 86400000,
  "num_outputs": 10
}

Example response

The API responds with the sum of the contribution and base values per aggregation, every time the algorithm executes in the specified time interval.

{
  "results" : [
    {
      "name" : "sum",
      "result" : {
        "buckets" : [
          {
            "start_time" : 1620630000000,
            "end_time" : 1620716400000,
            "overall_aggregate_value" : 65.0
          },
          {
            "start_time" : 1620716400000,
            "end_time" : 1620802800000,
            "overall_aggregate_value" : 75.0,
            "entities" : [
              {
                "key" : [
                  "attr0"
                ],
                "contribution_value" : 1.0,
                "base_value" : 2.0,
                "new_value" : 3.0
              },
              {
                "key" : [
                  "attr1"
                ],
                "contribution_value" : 1.0,
                "base_value" : 3.0,
                "new_value" : 4.0
              },
              {
                ...
              },
             {
                "key" : [
                  "attr8"
                ],
                "contribution_value" : 6.0,
                "base_value" : 10.0,
                "new_value" : 16.0
              },
              {
                "key" : [
                  "attr9"
                ],
                "contribution_value" : 6.0,
                "base_value" : 11.0,
                "new_value" : 17.0
              }
            ]
          }
        ]
      }
    }
  ]
}

Limitations

The Localization algorithm can only be executed directly. Therefore, it cannot be used with the ML Commons Train and Predict APIs.

Logistic regression

A classification algorithm, logistic regression models the probability of a discrete outcome given an input variable. In ML Commons, these classifications include both binary and multi-class. The most common is the binary classification, which takes two values, such as "true/false" or "yes/no", and predicts the outcome based on the values specified. Alternatively, a multi-class output can categorize different inputs based on type. This makes logistic regression most useful for situations where you are trying to determine how your inputs fit best into a specified category.

Parameters

Parameter Type Description Default value
learningRate Double The initial step size used in an iterative optimization algorithm. 1
momentumFactor Double The extra weight factors that accelerate the rate at which the weight is adjusted. This helps move the minimization routine out of local minima. 0
epsilon Double The value for stabilizing gradient inversion. 0.1
beta1 Double The exponential decay rates for the moment estimates. 0.9
beta2 Double The exponential decay rates for the moment estimates. 0.99
decayRate Double The Root Mean Squared Propagation (RMSProp). 0.9
momentumType String The Stochastic Gradient Descent (SGD) momentum that helps accelerate gradient vectors in the right direction, leading to faster convergence between vectors. STANDARD
optimizerType String The optimizer used in the model. AdaGrad
target String The target field. null
objectiveType String The objective function type. LogMulticlass
epochs Integer The number of iterations. 5
batchSize Integer The size of min batches. 1
loggingInterval Integer The interval of logs lost after many iterations. The interval is 1 if the algorithm contains no logs. 1000

Supported APIs

Example: Train/Predict with Iris data

The following example creates an index in OpenSearch with the Iris dataset, then trains the data using logistic regression. Lastly, it uses the trained model to predict Iris types separated by row.

Create an Iris index

Before using this request, make sure that you have downloaded Iris data.

PUT /iris_data
{
  "mappings": {
    "properties": {
      "sepal_length_in_cm": {
        "type": "double"
      },
      "sepal_width_in_cm": {
        "type": "double"
      },
      "petal_length_in_cm": {
        "type": "double"
      },
      "petal_width_in_cm": {
        "type": "double"
      },
      "class": {
        "type": "keyword"
      }
    }
  }
}

Ingest data from IRIS_data.txt

POST _bulk
{ "index" : { "_index" : "iris_data" } }
{"sepal_length_in_cm":5.1,"sepal_width_in_cm":3.5,"petal_length_in_cm":1.4,"petal_width_in_cm":0.2,"class":"Iris-setosa"}
{ "index" : { "_index" : "iris_data" } }
{"sepal_length_in_cm":4.9,"sepal_width_in_cm":3.0,"petal_length_in_cm":1.4,"petal_width_in_cm":0.2,"class":"Iris-setosa"}
...
...

Train the logistic regression model

This example uses a multi-class logistic regression categorization methodology. Here, the inputs of sepal and petal length and width are used to train the model to categorize centroids based on the class, as indicated by the target parameter.

Request

{
  "parameters": {
    "target": "class"
  },
  "input_query": {
    "query": {
      "match_all": {}
    },
    "_source": [
      "sepal_length_in_cm",
      "sepal_width_in_cm",
      "petal_length_in_cm",
      "petal_width_in_cm",
      "class"
    ],
    "size": 200
  },
  "input_index": [
    "iris_data"
  ]
}

Example response

The model_id will be used to predict the class of the Iris.

{
  "model_id" : "TOgsf4IByBqD7FK_FQGc",
  "status" : "COMPLETED"
}

Predict results

Using the model_id of the trained Iris dataset, logistic regression will predict the class of the Iris based on the input data.

POST _plugins/_ml/_predict/logistic_regression/SsfQaoIBEoC4g4joZiyD
{
  "parameters": {
    "target": "class"
  },
  "input_data": {
    "column_metas": [
      {
        "name": "sepal_length_in_cm",
        "column_type": "DOUBLE"
      },
      {
        "name": "sepal_width_in_cm",
        "column_type": "DOUBLE"
      },
      {
        "name": "petal_length_in_cm",
        "column_type": "DOUBLE"
      },
      {
        "name": "petal_width_in_cm",
        "column_type": "DOUBLE"
      }
    ],
    "rows": [
      {
        "values": [
          {
            "column_type": "DOUBLE",
            "value": 6.2
          },
          {
            "column_type": "DOUBLE",
            "value": 3.4
          },
          {
            "column_type": "DOUBLE",
            "value": 5.4
          },
          {
            "column_type": "DOUBLE",
            "value": 2.3
          }
        ]
      },
      {
        "values": [
          {
            "column_type": "DOUBLE",
            "value": 5.9
          },
          {
            "column_type": "DOUBLE",
            "value": 3.0
          },
          {
            "column_type": "DOUBLE",
            "value": 5.1
          },
          {
            "column_type": "DOUBLE",
            "value": 1.8
          }
        ]
      }
    ]
  }
}

Example response

{
  "status" : "COMPLETED",
  "prediction_result" : {
    "column_metas" : [
      {
        "name" : "result",
        "column_type" : "STRING"
      }
    ],
    "rows" : [
      {
        "values" : [
          {
            "column_type" : "STRING",
            "value" : "Iris-virginica"
          }
        ]
      },
      {
        "values" : [
          {
            "column_type" : "STRING",
            "value" : "Iris-virginica"
          }
        ]
      }
    ]
  }
}

Limitations

Convergence metrics are not built into Tribuo's trainers. Therefore, ML Commons cannot indicate the convergence status through the ML Commons API.

Metrics correlation

The metrics correlation feature is an experimental feature released in OpenSearch 2.7. It can't be used in a production environment. To leave feedback on improving the feature, create an issue in the ML Commons repository. {: .warning }

The metrics correlation algorithm finds events in a set of metrics data. The algorithm defines events as a window in time in which multiple metrics simultaneously display anomalous behavior. When given a set of metrics, the algorithm counts the number of events that occurred, when each event occurred, and determines which metrics were involved in each event.

To enable the metrics correlation algorithm, update the following cluster setting:

PUT /_cluster/settings
{
  "persistent" : {
    "plugins.ml_commons.enable_inhouse_python_model": true
  }
}

Parameters

To use the metrics correlation algorithm, include the following parameters.

Parameter Type Description Default value
metrics Array A list of metrics within the time series that can be correlated to anomalous behavior N/A

Input

The metrics correlation input is an M x T array of metrics data, where M is the number of metrics and T is the length of each individual sequence of metric values.

When inputting metrics into the algorithm, assume the following:

  1. For each metric, the input sequence has the same length, T.
  2. All input metrics should have the same corresponding set of timestamps.
  3. The total number of data points are M * T <= 10000.

Example: Simple metrics correlation

The following example inputs the number of metrics (M) as 3 and the number of time steps (T) as 128:

POST /_plugins/_ml/_execute/METRICS_CORRELATION
{"metrics": [[-1.1635416, -1.5003631, 0.46138194, 0.5308311, -0.83149344, -3.7009873, -3.5463789, 0.22571462, -5.0380244, 0.76588845, 1.236113, 1.8460795, 1.7576948, 0.44893077, 0.7363948, 0.70440894, 0.89451003, 4.2006273, 0.3697659, 2.2458954, -2.302939, -1.7706926, 1.7445002, -1.5246059, 0.07985192, -2.7756078, 1.0002468, 1.5977372, 2.9152713, 1.4172368, -0.26551363, -2.2883027, 1.5882446, 2.0145164, 3.4862874, -1.2486862, -2.4811826, -0.17609037, -2.1095612, -1.2184235, 0.63118523, -1.8909532, 2.039797, -0.5317177, -2.2922578, -2.0179775, -0.07992507, -0.12554549, -0.2553092, 1.1450123, -0.4640453, -2.190223, -4.671612, -1.5076426, 1.635445, -1.1394824, -0.7503817, 0.98424894, -0.38896716, 1.0328646, 1.9543738, -0.5236269, 0.14298044, 3.2963762, 8.1641035, 5.717064, 7.4869685, 2.5987444, 11.018798, 9.151356, 5.7354255, 6.862203, 3.0524514, 4.431755, 5.1481285, 7.9548607, 7.4519925, 6.09533, 7.634116, 8.898271, 3.898491, 9.447067, 8.197385, 5.8284273, 5.804283, 7.7688456, 10.574343, 7.5679493, 7.1888094, 7.1107903, 8.454468, 8.066334, 8.83665, 7.11204, 4.4898267, 8.614764, 6.336754, 11.577503, 3.3998494, 9.501525, 13.17289, 6.1116023, 5.143777, 2.7813284, 3.7917604, 7.1683135, 7.627272, 7.290255, 3.1299121, 7.089733, 9.140584, 8.844729, 9.403275, 10.220029, 8.039719, 8.85549, 4.034555, 4.412663, 7.54451, 7.2116737, 4.6346946, 7.0044127, 9.7557, 10.982841, 5.897937, 6.870126, 3.5638695, 5.7872133], [1.3037996, 2.7976995, -0.12042701, 1.3688855, 1.6955005, -2.2575269, 0.080582514, 3.011721, -0.4320283, 3.2440786, -1.0321085, 1.2346085, -2.3152106, -0.9783513, 0.6837618, 1.5320586, -1.6148578, -0.94538075, 0.55978125, -4.7430468, 3.466028, 2.3792691, 1.3269067, -0.35359794, -1.5547276, 0.5202475, 1.0269136, -1.7531714, 0.43987304, -0.18845831, 2.3086758, 2.519588, 2.0116413, 0.019745048, -0.010070452, 2.496933, 1.1557871, 0.08433053, 1.375894, -1.2135965, -1.2588277, -0.31454003, 0.045949124, -1.7518936, -2.3533764, -2.0125146, 0.10255043, 1.1782314, 2.4579153, -0.8780899, -4.1442213, 3.8300152, 2.772975, 2.6803262, 0.9867382, 0.77618766, 0.46541777, 3.8959959, -2.1713195, 0.10609512, -0.26438138, -2.145317, 3.6734529, 1.4830295, -5.3445525, -10.6427765, -8.300354, -1.9608921, -6.6779685, -10.019544, -8.341513, -9.607174, -7.2441607, -3.411102, -6.180552, -8.318714, -6.060591, -7.790343, -5.9695, -7.9429936, -3.775652, -5.2827606, -3.7168224, -6.729588, -9.761094, -7.4683576, -7.2595067, -6.6790915, -9.832726, -8.352172, -6.936336, -8.252518, -6.787475, -9.091013, -11.465944, -6.712504, -8.987438, -6.946672, -8.877166, -6.7854185, -3.6417139, -6.1036086, -5.360772, -4.0435786, -4.5864973, -6.971063, -10.522461, -6.3692527, -4.387658, -9.723745, -4.7020173, -5.097396, -9.903703, -4.882414, -4.1999683, -6.7829437, -6.2555966, -8.121125, -5.334131, -9.174302, -3.9752126, -4.179469, -8.335524, -9.359406, -6.4938803, -6.794677, -8.382997, -9.879416], [1.8792984, -3.1561708, -0.8443318, -1.998743, -0.6319316, 2.4614046, -0.44511616, 0.82785237, 1.7911717, -1.8172283, 0.46574894, -1.8691323, 3.9586513, 0.8078605, 0.9049874, 5.4086914, -0.7425967, -0.20115769, -1.197923, 2.741789, 0.85432875, -1.1688408, -1.7771784, 1.615249, -4.1103697, 0.4721327, -2.75669, -0.38393462, -3.1137516, -2.2572582, 0.9580673, -3.7139492, -0.68303126, 1.6007807, 0.6313973, -2.5115106, 0.703251, 2.4844077, -1.7405633, -3.007687, 2.372802, 2.4684637, 0.6443977, -3.1433117, 0.05976736, -1.9809214, 3.514713, 2.1880944, 1.242541, 1.8236228, 0.8642841, -0.17313614, 1.7042321, 0.8298376, 4.2443194, 0.13983983, 1.1940852, 2.5076652, 39.285202, 82.73858, 44.707516, -4.267148, 0.25930226, 0.20799652, -3.7213502, 1.475217, -1.2394199, -0.0034497892, 1.1413965, 55.18923, -2.2969518, -4.1400924, -2.4707043, 43.193188, -0.19258368, 3.471275, 1.1374166, 1.2147579, 4.13017, -2.0576499, 2.1529694, -0.28360432, 0.8477302, -0.63012695, 1.2569811, 1.943168, 0.17070436, 3.2358394, -2.3737662, 0.77060974, 4.99065, 3.1079204, 3.6347675, 0.6801177, -2.2205186, 1.0961101, -2.4445753, -2.0919478, -2.895031, 2.5458927, 0.38599384, 1.0492333, -0.081834644, -7.4079595, -2.1785216, -0.7277175, -2.7413428, -3.2083786, 3.2958643, -1.1839997, 5.4849496, 2.0259023, 5.607272, -1.0125756, 3.721461, 2.5715313, 0.7741753, -0.55034757, 0.7526307, -2.6758716, -2.964664, -0.57379586, -0.28817406, -3.2334063, -0.22387607, -2.0793931, -6.4562697, 0.80134094]]}

Example response

The API returns the following information:

  • event_window: The event interval
  • event_pattern: The intensity score across the time window and the overall severity of the event
  • suspected_metrics: The set of metrics involved

In the following example response, each item corresponds to an event discovered in the metrics data. The algorithm finds one event in the input data of the request, as indicated by the output in event_pattern having a length of 1. event_window shows that the event occurred between time point t = 52 and t = 72. Lastly, suspected_metrics shows that the event involved all three metrics.

{
  "function_name": "METRICS_CORRELATION",
  "output": {
    "inference_results": [
      {
        "event_window": [
          52,
          72
        ],
        "event_pattern": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.99625e-05, 0.0001052875, 0.0002605894, 0.00064648513, 0.0014303402, 0.002980127, 0.005871893, 0.010885878, 0.01904726, 0.031481907, 0.04920215, 0.07283493, 0.10219432, 0.1361888, 0.17257516, 0.20853643, 0.24082609, 0.26901975, 0.28376183, 0.29364157, 0.29541212, 0.2832976, 0.29041746, 0.2574534, 0.2610143, 0.22938538, 0.19999361, 0.18074994, 0.15539801, 0.13064545, 0.10544432, 0.081248805, 0.05965102, 0.041305058, 0.027082501, 0.01676033, 0.009760197, 0.005362286, 0.0027713624, 0.0013381141, 0.0006126331, 0.0002634901, 0.000106459476, 4.0407333e-05, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        "suspected_metrics": [0,1,2]
      }
    ]
  }
}