new function: apply-weights[n1,n2,..]

Another brief one. So the motivation was to try and improve my results in the adult wage prediction example. Previously I just used select[1,5] applied to the top similarity matches. Apply-weights[] can be considered a partial generalization of that, in the sense that apply-weights[1,1,1,1,1] is the same as select[1,5].

Here is the python:

def apply_weights(one,weights):
  weights = weights.split(",")
  result = superposition()
  for k,x in enumerate(one):
    if k >= len(weights):
      break
    result += x.multiply(float(weights[k]))
  return result

And here is a brief example:

sa: apply-weights[3.1415,0,6,7.3,13] split |a b c d e f g h i j>
3.142|a> + 0|b> + 6|c> + 7.3|d> + 13|e>

That should be clear enough.

BTW, as for the wage prediction results, well, I tried some examples and I failed to improve on just picking the result with the highest match (ie, select[1,1]), at 77.1% success rate. Maybe if you choose the weights just right you will get a better result? I don't yet know how to do that though.

That's it for this post.

Update: apply-weights can be considered to be multiplication by a diagonal matrix, with the weights the values on the diagonal.