Learning Graphical Models
3948ead63a9f2944218de038d8934305-Reviews.html
First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The bottom line of this paper is an efficient algorithm for finding maximum likelihood estimators for elliptically contoured distributions, a class of densities that includes the Gaussian and various generalizations of it. For the Gaussian itself, that optimization is straightforward, it's the generalizations where the new algorithm provides real advantages. One could argue that this focus on a relatively arcane family of distributions (Kotz-type) limits the utility of this paper. But I think it's actually the other way round: The paper may spark new interest at NIPS in these models.
35cf8659cfcb13224cbd47863a34fc58-Reviews.html
First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The authors present a hierarchical extension of the IRM for network modelling using the key ideas from the Bayesian rose tree paper: 1) that the hierarchy is used to specify a mixture over consistent partitions of the nodes 2) that this hierarchy can be learnt using an efficient greedy agglomerative procedure. Qualitative results on the Sampson's monks dataset, and full NIPS dataset, and quantitative results on the NIPS-234 dataset are presented. The proposed inference is computational much cheaper than the IRM, whilst obtaining similar predictive performance. The paper is very well written and the exposition of the key ideas is clear.
32b30a250abd6331e03a2a1f16466346-Reviews.html
First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper proposes an estimation strategy for recovering the parameters of a finite state Markov chain given observed stationary frequencies of some states. Although the problem proposed is potentially very interesting, the paper does not appear to be in a mature state. Some fundamental issues are not adequately addressed, while the evaluation is limited, and the writing quality is not strong. Note that there is an uncountable set of ergodic transition models that can exactly match a given subset of stationary frequencies when the number of observed stationary state frequencies is small relative to the total number of states.