Representing Vectors (cont)

• Algebraic form in which a vector is represented as a bolded lower case letter (e.g. v). Algebraic form is a particularly concise form of representation, which makes it easy to talk about the operations that can be performed on vectors such as addition (e.g. w = v + t).

• Neural network form which diagrams a neural network architecture in which either a set of units or a set of weights contain the elements of the vector. For instance, a vector can be mapped to a two layer network (one input and one output layer) as depicted in Figure 5. The number of units in the input layer corresponds to the number of dimensions in the original vector, while the output layer contains only 1 unit. Each input unit is connected to each output unit. The input units represent one vector and the weights represent a second vector.
  

  Figure 5: The network corresponding to a vector memory.