ll see everything else remains exactly the same. The first paper that showed impressive results with this approach was [Playing Atari with Deep Reinforcement Learning](http://arxiv.org/abs/1312.5602) at NIPS workshop in 2013, and more recently the Nature paper [Human-level control through deep reinforcement learning](http://www.nature.com/nature/journal/v518/n7540/full/nature14236.html), both by Mnih et al. However, more impressive than what we'll develop here, their function \\(f\_{\theta,a}\\) was an enti