There's a new network now, which is about 200 ELO stronger in self-play, so a good sized improvement.
LeelaZero is already 4-dan on Fox server with over 200 games played against humans. (With an older network)
https://www.reddit.com/r/cbaduk/comment ... go_server/
The network is indeed much much smaller than AlphaGoZero, at only 5x64
This means that the network will eventually stall and stop improving, but it still seems to be going strong.
If you look at AlphaGoZeros paper you'll see that it also had a lot of zigzag movements on trying to find the correct network.
You have to remember that the zigzag movement actually represents "pauses" or game amounts where it was "stuck".
Deepmind just had a lot of more resources to put into it, and the scale is a bit different, so it's hard to see that from their graphs.
1-3 days of no new networks is not stuck in my opinion.
The good thing with a small network is that it'll make game generation quicker (needed for making it stronger), but also,
when the game generation is done, this network will run very well on even modest GPU hardware.
You have to remember that the self-play games are with randomness and noise and only 1600 playouts. So their quality isn't very high if you look at them. Even the match games between networks are at 1600 playouts. Increase playouts and the strength of the bot goes up by a lot. If the network would be a huge Google DeepMind type network, extremely few people would be able to eventually run it on their home hardware.
Also, the current 5x64 network has been stated to be a first trial run. Seeing how far the 5x64 can go, before switching to a larger network. The larger network, the more resources you need to train it (self-play games), and the slower it'll go. If you have bugs along the way, it becomes extremely painful. So in my opinion it's extremely smart that they started with a smaller network.
We'll see how far it can get, and ones its strength is maxed out people can run it at a high dan level on their own home hardware.
The project will have ironed out all the bugs (one for example made the progress over the first 800k games extremely slow), and then they can restart on a larger network which will have more headroom to improve.
Please do consider running the exe file (or the linux binary) to help generate self-play games. It's extremely easy, just download here:
http://zero.sjeng.org/