I am considering to work small-sample size problems, wherein we have to learn/estimate parameters of the underlying distribution from very small number of examples for each population. Such problems arise in multiple practical scenarios like performance analysis of a new VLSI technology, predicting player performance in a season from a few early games, UBM models for speaker recognition etc.
I am planning to work on the line of James-Stein Estimator (which is always better than MLE for 3 or higher dimension problems) and exploit the correlation existing between each population.
I am a first year PhD student at ECE. If anyone is interested in this idea or has some similar ideas please reply.
Thanking you,
Manzil