# Other Functions and Classes

### tf.nn.batch_normalization(x, mean, variance, offset, scale, variance_epsilon, name=None)

Batch normalization.

As described in http://arxiv.org/abs/1502.03167. Normalizes a tensor by mean and variance, and applies (optionally) a scale \$$\gamma\$$ to it, as well as an offset \$$\beta\$$:

\$$\frac{\gamma(x-\mu)}{\sigma}+\beta\$$

mean, variance, offset and scale are all expected to be of one of two shapes: * In all generality, they can have the same number of dimensions as the input x, with identical sizes as x for the dimensions that are not normalized over (the 'depth' dimension(s)), and dimension 1 for the others which are being normalized over. mean and variance in this case would typically be the outputs of tf.nn.moments(..., keep_dims=True) during training, or running averages thereof during inference. * In the common case where the 'depth' dimension is the last dimension in the input tensor x, they may be one dimensional tensors of the same size as the 'depth' dimension. This is the case for example for the common [batch, depth] layout of fully-connected layers, and [batch, height, width, depth] for convolutions. mean and variance in this case would typically be the outputs of tf.nn.moments(..., keep_dims=False) during training, or running averages thereof during inference.

##### Args:
• x: Input Tensor of arbitrary dimensionality.
• mean: A mean Tensor.
• variance: A variance Tensor.
• offset: An offset Tensor, often denoted \$$\beta\$$ in equations, or None. If present, will be added to the normalized tensor.
• scale: A scale Tensor, often denoted \$$\gamma\$$ in equations, or None. If present, the scale is applied to the normalized tensor.
• variance_epsilon: A small float number to avoid dividing by 0.
• name: A name for this operation (optional).
##### Returns:

the normalized, scaled, offset tensor.

### tf.nn.depthwise_conv2d_native(input, filter, strides, padding, name=None)

Computes a 2-D depthwise convolution given 4-D input and filter tensors.

Given an input tensor of shape [batch, in_height, in_width, in_channels] and a filter / kernel tensor of shape [filter_height, filter_width, in_channels, channel_multiplier], containing in_channels convolutional filters of depth 1, depthwise_conv2d applies a different filter to each input channel (expanding from 1 channel to channel_multiplier channels for each), then concatenates the results together. Thus, the output has in_channels * channel_multiplier channels.

for k in 0..in_channels-1 for q in 0..channel_multiplier-1 output[b, i, j, k * channel_multiplier + q] = sum_{di, dj} input[b, strides[1] * i + di, strides[2] * j + dj, k] * filter[di, dj, k, q]

Must have strides[0] = strides[3] = 1. For the most common case of the same horizontal and vertices strides, strides = [1, stride, stride, 1].

##### Args:
• input: A Tensor. Must be one of the following types: float32, float64.
• filter: A Tensor. Must have the same type as input.
• strides: A list of ints. 1-D of length 4. The stride of the sliding window for each dimension of input.
• padding: A string from: "SAME", "VALID". The type of padding algorithm to use.
• name: A name for the operation (optional).
##### Returns:

A Tensor. Has the same type as input.