I was really excited over the weekend, because I thought that I had found a beautifully elegant solution to the current stumbling block in my research with Antti and Henri. Last night I excitedly write up the idea and sent it off. Today was a busy one: some administration (as always), nice chat with my boss, pleasant meeting with student who for once showed me a wonderful piece of work. (I should have been much more enthusiastic about it. I realize now that students – like dogs – need some positive reinforcement to encourage desireable behaciours.)
Unfortunately in the back of my mind a nasty suspicion was bubbling up: my elegant solution is wrong. Needless to say, … Well, I’ll say it: I am a little disappointed. But the idea is so nice that I still hope to rescue it. Perhaps a few optimizations can avoid the exponential behaviour. I try to be as discrete as possible when I talk about my work, but it is not giving away too much to explain that the idea is based on a graph exploration. Originally I had hoped to visit each state a small number of times, but now I realize that we have to visit each path a small number of times. Sigh.
Oh well, tomorrow is another day.