# bilinear_tensor_product¶

paddle.static.nn. bilinear_tensor_product ( x, y, size, act=None, name=None, param_attr=None, bias_attr=None ) [source]
Api_attr

Static Graph

Bilinear Tensor Product Layer

This layer performs bilinear tensor product on two inputs. For example:

$out_{i} = x * W_{i} * {y^\mathrm{T}}, i=0,1,...,size-1$
In this formula:
• $$x$$: the first input contains M elements, shape is [batch_size, M].

• $$y$$: the second input contains N elements, shape is [batch_size, N].

• $$W_{i}$$: the i-th learned weight, shape is [M, N].

• $$out_{i}$$: the i-th element of out, shape is [batch_size, size].

• $$y^\mathrm{T}$$: the transpose of $$y_{2}$$.

Parameters
• x (Variable) – 2-D input tensor with shape [batch_size, M]. Data type is float32 or float64.

• y (Variable) – 2-D input tensor with shape [batch_size, N]. Data type should be same as x.

• size (int) – The dimension of this layer.

• act (str|None) – Activation to be applied to the output of this layer. Default None.

• name (str|None) – For detailed information, please refer to Name . Usually name is no need to set and None by default.

• param_attr (ParamAttr|None) – To specify the weight parameter attribute. Default: None, which means the default weight parameter property is used. See usage for details in api_fluid_ParamAttr .

• bias_attr (ParamAttr|None) – To specify the bias parameter attribute. Default: None, which means the default bias parameter property is used. See usage for details in api_fluid_ParamAttr .

Returns

A 2-D Tensor of shape [batch_size, size]. Data type is the same as input x.

Return type

Variable

Examples

import paddle