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Any hint as to how this differs from other parallel Monte Carlo algorithms? Or is it an application of those methods to big data? (People were doing parallel Mo
by bazzargh 13y ago
Any hint as to how this differs from other parallel Monte Carlo algorithms? Or is it an application of those methods to big data? (People were doing parallel Monte Carlo at least as far back as the early 90s - my own research topic on exact nuclear calculations was basically obsoleted by the superior scalability of that approach)
- dgmdoug 13y agoI think it's more to do with the application of parallel MC to approximate inference over Bayesian networks. In the normal case of approximate inference, each node would operate over the incoming data to approximate maximum likelihoods (this is the MC bit) then pass them out on each link. The key contribution of this work seems to be to tie the MC algorithms together from difference nodes. Difficult to say any more without reading the paper though. My key question would be whether there are independence considerations that Parallel MC breaks? (Message passing works because all nodes need only information from their neighbours to summarise the rest of the network, due to the modelled independence).
- tlarkworthy 13y agoit's first author is a Googler, and its posted on a Google domain. EDIT: haha I am downvoted for speaking the truth. The parent and I have both read lots of papers like these, there is only a modest contribution of this paper. It basically says we fudged the inference and the end results look similar so its a good optimization. However, there will be probably lots of specific models that "need" the mixing freedom the approximation removes, and hence the algorithm will only work for a specific subspace of MCMC problems. MCMC is basically impossible to debug, so we dunno how well it works overall. THIS IS THE SAME CONCLUSION OF EVERY OTHER MCMC APPROXIMATION PAPER. The only reason this is on HN, is because of its heritage. I do not think this paper is revolutionary (unlike some other papers coming out of Google). EDIT 2: evidence Modern: "Fully Parallel Inference in Markov Logic Networks" - Max-Planck "Hybrid Parallel Inference for Hierarchical Dirichlet Process" "A split-merge mcmc algorithm for the hierarchical dirichlet process" Old: "Parallel Implementations of Probabilistic Inference" a 1996 review paper! You might say these papers are not exactly the same, ok, but the final justification for the given paper is: "Depending on the model, the resulting draws can be nearly indistinguishable" NOTE kewords: "depending" and "nearly"
- Demiurge 13y agoI have no idea if you're right or not, but I really hate how people downmod on HN instead of stating their disagreements.
- ColinWright 13y agoIn general so do I, but in this case the initial reply was a content free snipe. In that case I'm not surprised it got a downvote without investing the time in making a more complete reply. The subsequent edit was useful, although the attitude is, well, "sharp".
- derefr 13y agoAs far as I've been able to tell from years of Reddit/HN, downvoting is basically a signal that says "this comment is not worth the time it'd take to rebut it--but also isn't doing anything actively harmful enough to elicit flagging."
- gil 13y ago"The parent and I have both read lots of papers like these," Can you please post the title/author of the ones that are most relevant?
- ColinWright 13y agoI wasn't the downvoter, but your initial response didn't answer the question, and was a snide irrelevancy. Was it intended as criticism of the HN audience? So what if it's related to Google? Your subsequent edit is useful - thank you. I just wish you'd said that in the first place and left out the swipe.
- tlarkworthy 13y agoit wasn't a swipe, compressed? yes. It IS the main reason why this paper is getting more air than the work of hundreds of other machine learning papres int he same league. It was not meant in malice, just a plain ordinary fact. I thought arguing it has a was a average contribution would be more snidy. It's perfectly good work, just not in the same league as map-reduce or self-driving cars.
- 3pt14159 13y agoThe main reason is that it is so legible and readable, and assumes less of the reader than contemporary ML papers.
- alextp 13y agoML PhD student here. The reason why this is different is that the parallel monte carlo simulations are running on different subsets of the data in each machine, and then averaged. It is not obvious that this can work at all in some cases. Think, for example, a clustering model. If there are two clusters, but one machine calls them A B and the other machine calls them B A, averaging will give you useless results. So the contribution of this paper is finding a set of models on which naive averaging works, and showing an efficient mapreduce implementation of it. That said, I don't find the paper particularly interesting.
- christopheraden 13y agoPh.D student in Stats here. That we can even sample the full posterior with so much data is interesting in and of itself. The method isn't particularly revolutionary, especially compared to a method Zaiyang Huang and Andy Gelman[1] came up with 8 years ago, but it's practical (for a restricted class of models). Steve Scott spoke to my department about a month ago, describing the problem. It's not a solution that works for all posteriors, but it certainly allows more freedom than restricting oneself to conjugate priors and allows computation on large datasets. Academics tend to trivialize the implementation (we had some pretty strong critics of his talk in my dept), but some kudos are in order for that, even if the algorithm itself isn't revolutionary. [1]: http://www.stat.columbia.edu/~gelman/research/unpublished/comp7.pdf http://www.stat.columbia.edu/~gelman/research/unpublished/co...