Caffe

Deep learning framework by BAIR

Created by
Yangqing Jia
Lead Developer
Evan Shelhamer

Convolution Layer

The Convolution layer convolves the input image with a set of learnable filters, each producing one feature map in the output image.

Sample

Sample (as seen in ./models/bvlc_reference_caffenet/train_val.prototxt):

 layer {
 name: "conv1"
 type: "Convolution"
 bottom: "data"
 top: "conv1"
 # learning rate and decay multipliers for the filters
 param { lr_mult: 1 decay_mult: 1 }
 # learning rate and decay multipliers for the biases
 param { lr_mult: 2 decay_mult: 0 }
 convolution_param {
 num_output: 96 # learn 96 filters
 kernel_size: 11 # each filter is 11x11
 stride: 4 # step 4 pixels between each filter application
 weight_filler {
 type: "gaussian" # initialize the filters from a Gaussian
 std: 0.01 # distribution with stdev 0.01 (default mean: 0)
 }
 bias_filler {
 type: "constant" # initialize the biases to zero (0)
 value: 0
 }
 }
 }

Parameters

  • Parameters (ConvolutionParameter convolution_param)
    • Required
      • num_output (c_o): the number of filters
      • kernel_size (or kernel_h and kernel_w): specifies height and width of each filter
    • Strongly Recommended
      • weight_filler [default type: 'constant' value: 0]
    • Optional
      • bias_term [default true]: specifies whether to learn and apply a set of additive biases to the filter outputs
      • pad (or pad_h and pad_w) [default 0]: specifies the number of pixels to (implicitly) add to each side of the input
      • stride (or stride_h and stride_w) [default 1]: specifies the intervals at which to apply the filters to the input
      • group (g) [default 1]: If g > 1, we restrict the connectivity of each filter to a subset of the input. Specifically, the input and output channels are separated into g groups, and the th output group channels will be only connected to the th input group channels.
  • From ./src/caffe/proto/caffe.proto):
message ConvolutionParameter {
 optional uint32 num_output = 1; // The number of outputs for the layer
 optional bool bias_term = 2 [default = true]; // whether to have bias terms

 // Pad, kernel size, and stride are all given as a single value for equal
 // dimensions in all spatial dimensions, or once per spatial dimension.
 repeated uint32 pad = 3; // The padding size; defaults to 0
 repeated uint32 kernel_size = 4; // The kernel size
 repeated uint32 stride = 6; // The stride; defaults to 1
 // Factor used to dilate the kernel, (implicitly) zero-filling the resulting
 // holes. (Kernel dilation is sometimes referred to by its use in the
 // algorithme à trous from Holschneider et al. 1987.)
 repeated uint32 dilation = 18; // The dilation; defaults to 1

 // For 2D convolution only, the *_h and *_w versions may also be used to
 // specify both spatial dimensions.
 optional uint32 pad_h = 9 [default = 0]; // The padding height (2D only)
 optional uint32 pad_w = 10 [default = 0]; // The padding width (2D only)
 optional uint32 kernel_h = 11; // The kernel height (2D only)
 optional uint32 kernel_w = 12; // The kernel width (2D only)
 optional uint32 stride_h = 13; // The stride height (2D only)
 optional uint32 stride_w = 14; // The stride width (2D only)

 optional uint32 group = 5 [default = 1]; // The group size for group conv

 optional FillerParameter weight_filler = 7; // The filler for the weight
 optional FillerParameter bias_filler = 8; // The filler for the bias
 enum Engine {
 DEFAULT = 0;
 CAFFE = 1;
 CUDNN = 2;
 }
 optional Engine engine = 15 [default = DEFAULT];
 // The axis to interpret as "channels" when performing convolution.
 // Preceding dimensions are treated as independent inputs;
 // succeeding dimensions are treated as "spatial".
 // With (N, C, H, W) inputs, and axis == 1 (the default), we perform
 // N independent 2D convolutions, sliding C-channel (or (C/g)-channels, for
 // groups g>1) filters across the spatial axes (H, W) of the input.
 // With (N, C, D, H, W) inputs, and axis == 1, we perform
 // N independent 3D convolutions, sliding (C/g)-channels
 // filters across the spatial axes (D, H, W) of the input.
 optional int32 axis = 16 [default = 1];
 // Whether to force use of the general ND convolution, even if a specific
 // implementation for blobs of the appropriate number of spatial dimensions
 // is available. (Currently, there is only a 2D-specific convolution
 // implementation; for input blobs with num_axes != 2, this option is
 // ignored and the ND implementation will be used.)
 optional bool force_nd_im2col = 17 [default = false];
}

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