**a)**
Consider a one-dimensional (i.e., one input) competitive learning problem
involving two units arranged in a WTA fashion). Assume that the inputs arise
from two uniformly distributed clusters in the intervals [-0.8,-1.2] and [0.8,1.2],
respectively. What choice of initial weights will facilitate learning in
this situation? What choice of initial weights might preclude learning?

**b)**
In competitive learning it is possible that certain units are never
selected for weight-update during training. Propose two heuristics for
avoiding underutilization of units.

*This assignment is due in class on Thursday, October 9, or by
earlier*
*electronic submission.*