Elo for VC – Founder's Choice
founderschoicevc.com
founderschoicevc.com
I have a sparse matrix of probabilities that I want to turn into a DAG. If x[m,n] = pr it means that m is a descendent (direct or transitively) of n with probability pr. I want to construct a DAG over these edges.
Most importantly, I want a solution that maintains the DAG property, i.e. no cycles. Given that constraint, I want to maximize the total probability of edges kept in the DAG combined with the (1 - probability) edges removed from the graph.
Any suggestions on how to implement this optimization algorithm?
Perhaps I could use an ELO or TrueSkill ranking as an approximation. The difficulty is sampling matches, but perhaps it makes sense to sample non-zero edges randomly, uniformly. So nodes with high in-degree or high out-degree are selected more frequently, since they are more likely to impose constraints on the graph. The probability of winning is determined by the edge probability.
This doesn't guarantee a DAG but would be a great initialization point. Anyway, I'm curious about alternate ideas or refinements to the above.
This is probably due to 'We only include firms where we received 100 or more comparisons to other firms.', which in Europe, where the VC landscape is - fortunately - much more fragmented isn't going to happen all that often except for seed funds.
Also, it might be worth it to add PE parties as well because that's one track where founders may well end up and those interactions do not always go smoothly.
I can't parse your comment.
Keep in mind that 99.9% of people in the US are also not really able to pursue VC effectively. In fact, for decades SV VC would mostly only invest in people in a 20 mile radius around Menlo Park/Palo Alto, and those are just the geographic filters.
Things being "unfair" is just how life is. It's fine. It is best addressed at making your own luck. The best entrepreneur is one that uncovers and exploits every opportunity available to them, uniquely. VC is great, for those that can get it, but I can't either and I'm in the U.S., just not in the favored location and no intention to be. I'm going to build a monster company in spite of not having VC available to me (at least at this stage).
Be determined. Don't give up. You don't need outside investors in most tech startups, and VC increases risk anyway, because it gives another party a say in whether your business dies or fights on... right now, the only one who throws in the towel is you, and you can do it as many times as you like, but you only have to win the game once!
> Keep in mind that 99.9% of people in the US are also not really able to pursue VC effectively.
That's true, but to them it is a lot more accessible than it is for the rest of the planet.
* The pairwise comparison: does it freeze updates and calculate all shifts at the same time? For example if you had A > B > C do you calculate the impact of {A>B, A>C, B>C}, sum these impacts together (grouped by the VC), and then apply them? Or do you do it iteratively: if a firm had {A}, then {A>B}, then {A>B>C} do you add 0 then 1 then 2 comparisons as you get new data?
* How do you handle the fact that respondents to the survey are over a large time-frame, so some VCs might get better or worse over that time frame? Is there some Elo-decay applied?
As long as everyone knows up front what is going into (which they do via source), then you can make a judgement for yourself.
Take it all with a grain of salt.