A Guide To Convolution Arithmetic For Deep Learning

• 1 Introduction
  • 1.1 Discrete convolutions
  • 1.2 Pooling
• 2 Convolution arithmetic
  • 2.1 No zero padding, unit strides
  • 2.2 Zero padding, unit strides
    • 2.2.1 Half (same) padding
    • 2.2.2 Full padding
  • 2.3 No zero padding, non-unit strides
  • 2.4 Zero padding, non-unit strides
• 3 Pooling arithmetic
• 4 Transposed convolution arithmetic
  • 4.1 Convolution as a matrix operation
  • 4.2 Transposed convolution
  • 4.3 No zero padding, unit strides, transposed
  • 4.4 Zero padding, unit strides, transposed
    • 4.4.1 Half (same) padding, transposed
    • 4.4.2 Full padding, transposed
  • 4.5 No zero padding, non-unit strides, transposed
  • 4.6 Zero padding, non-unit strides, transposed
• 5 Miscellaneous convolutions
  • 5.1 Dilated convolutions