Specify GatherND-5 operation (#2414)
* Specify GatherND-5 operation Signed-off-by: Roman Kazantsev <roman.kazantsev@intel.com> * Update ie_docs.xml with GatherND-5 Signed-off-by: Roman Kazantsev <roman.kazantsev@intel.com>
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docs/ops/movement/GatherND_5.md
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docs/ops/movement/GatherND_5.md
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## GatherND <a name="GatherND"></a> {#openvino_docs_ops_movement_GatherND_5}
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**Versioned name**: *GatherND-5*
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**Category**: Data movement operations
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**Short description**: *GatherND* gathers slices from input tensor into a tensor of a shape specified by indices.
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**Detailed description**: *GatherND* gathers slices from `data` by `indices` and forms a tensor of a shape specified by `indices`.
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`indices` is `K`-dimensional integer tensor or `K-1`-dimensional tensor of tuples with indices by which the operation gathers elements or slices
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from `data` tensor. A position `i_0, ..., i_{K-2}` in the `indices` tensor corresponds to a tuple with indices `indices[i_0, ..., i_{K-2}]`
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of a length equal to `indices.shape[-1]`. By this tuple with indices the operation gathers a slice or an element from `data` tensor and
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insert it into the output at position `i_0, ..., i_{K-2}` as the following formula:
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output[i_0, ..., i_{K-2},:,...,:] = data[indices[i_0, ..., i_{K-2}],:,...,:]
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The last dimension of `indices` tensor must be not greater than a rank of `data` tensor, i.e. `indices.shape[-1] <= data.rank`.
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The shape of the output can be computed as `indices.shape[:-1] + data.shape[indices.shape[-1]:]`.
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Example 1 shows how *GatherND* operates with elements from `data` tensor:
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```
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indices = [[0, 0],
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[1, 0]]
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data = [[1, 2],
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[3, 4]]
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output = [1, 3]
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```
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Example 2 shows how *GatherND* operates with slices from `data` tensor:
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```
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indices = [[1], [0]]
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data = [[1, 2],
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[3, 4]]
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output = [[3, 4],
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[1, 2]]
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```
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Example 3 shows how *GatherND* operates when `indices` tensor has leading dimensions:
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```
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indices = [[[1]], [[0]]]
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data = [[1, 2],
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[3, 4]]
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output = [[[3, 4]],
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[[1, 2]]]
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```
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**Attributes**:
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* *batch_dims*
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* **Description**: *batch_dims* (denoted as `b`) is a leading number of dimensions of `data` tensor and `indices` representing the batches,
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and *GatherND* starts to gather from the `b+1` dimension.
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It requires the first `b` dimensions in `data` and `indices` tensors to be equal.
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In case non default value for *batch_dims* the output shape is calculated as
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`(multiplication of indices.shape[:b]) + indices.shape[b:-1] + data.shape[(indices.shape[-1] + b):]`.
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* **Range of values**: integer number and belongs to `[0; min(data.rank, indices.rank))`
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* **Type**: int
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* **Default value**: 0
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* **Required**: *no*
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Example 4 shows how *GatherND* operates gathering elements for non-default *batch_dims* value:
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```
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batch_dims = 1
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indices = [[1], <--- this is applied to the first batch
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[0]] <--- this is applied to the second batch, shape = (2, 1)
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data = [[1, 2], <--- the first batch
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[3, 4]] <--- the second batch, shape = (2, 2)
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output = [2, 3], shape = (2)
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```
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Example 5 shows how *GatherND* operates gathering slices for non-default *batch_dims* value:
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```
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batch_dims = 1
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indices = [[1], <--- this is applied to the first batch
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[0]] <--- this is applied to the second batch, shape = (2, 1)
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data = [[[1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12]] <--- the first batch
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[[13, 14, 15, 16], [17, 18, 19, 20], [21, 22, 23, 24]]] <--- the second batch, shape = (2, 3, 4)
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output = [[ 5, 6, 7, 8], [13, 14, 15, 16]], shape = (2, 4)
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```
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More complex example 6 shows how *GatherND* operates gathering slices with leading dimensions for non-default *batch_dims* value:
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```
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batch_dims = 2
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indices = [[[[1]], <--- this is applied to the first batch
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[[0]],
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[[2]]],
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[[[0]],
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[[2]],
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[[2]]] <--- this is applied to the sixth batch
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], shape = (2, 3, 1, 1)
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data = [[[1, 2, 3, 4], <--- this is the first batch
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[ 5, 6, 7, 8],
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[ 9, 10, 11, 12]]
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[[13, 14, 15, 16],
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[17, 18, 19, 20],
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[21, 22, 23, 24]] <--- this is the sixth batch
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] <--- the second batch, shape = (2, 3, 4)
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output = [[2], [5], [11], [13], [19], [23]], shape = (6, 1)
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```
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**Inputs**:
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* **1**: `data` tensor of type *T*. This is a tensor of a rank not less than 1. Required.
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* **2**: `indices` tensor of type *T_IND*. This is a tensor of a rank not less than 1.
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It requires that all indices from this tensor will be in a range `[0, s-1]` where `s` is corresponding dimension to which this index is applied.
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Required.
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**Outputs**:
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* **1**: Tensor with gathered values of type *T*.
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**Types**
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* *T*: any supported type.
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* *T_IND*: any supported integer types.
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**Examples**
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```xml
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<layer id="1" type="GatherND">
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<data batch_dims=0 />
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<input>
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<port id="0">
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<dim>1000</dim>
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<dim>256</dim>
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<dim>10</dim>
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<dim>15</dim>
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</port>
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<port id="1">
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<dim>25</dim>
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<dim>125</dim>
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<dim>3</dim>
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</port>
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</input>
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<output>
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<port id="3">
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<dim>25</dim>
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<dim>125</dim>
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<dim>15</dim>
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</port>
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</output>
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</layer>
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```
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```xml
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<layer id="1" type="GatherND">
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<data batch_dims=2 />
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<input>
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<port id="0">
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<dim>30</dim>
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<dim>2</dim>
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<dim>100</dim>
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<dim>35</dim>
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</port>
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<port id="1">
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<dim>30</dim>
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<dim>2</dim>
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<dim>3</dim>
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<dim>1</dim>
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</port>
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</input>
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<output>
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<port id="3">
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<dim>60</dim>
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<dim>3</dim>
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<dim>35</dim>
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</port>
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</output>
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</layer>
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```
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