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19bc916108fc6938f52cb96f7e087941-Reviews.html

Neural Information Processing Systems

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The authors study a variant of ratio cut with R clusters where the balancing function is biased towards partitions where each cluster has the same size. The main contribution of the paper is a continuous formulation and an algorithm to optimize the criterion directly, whereas previous algorithms are mostly limited to recursive splitting. The direct solution of multi-cut problems instead of using recursive splitting is an important problem given the new developments in finding balanced graph cuts [3,4,5,11,12,18]. The authors first describe the discrete problem (P) and then derive a relaxation of the problem (P-rlx).






115f89503138416a242f40fb7d7f338e-Reviews.html

Neural Information Processing Systems

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. The paper proposes a variational bound on the length scale parameters of square-exponential-kernel Gaussian process regression models. The main idea is to separate the function to be inferred into a standardised sample from a unit-length-scale square-exponential kernel, and a linear scaling map of that latent function, then to impose factorisation between these two objects via a variational bound. The paper is well written. It uses clear language and provides a compact introduction to previous work.


109a0ca3bc27f3e96597370d5c8cf03d-Reviews.html

Neural Information Processing Systems

Q2: Please summarize your review in 1-2 sentences The paper's main contribution are theoretical error bounds for a recently proposed low-rank tensor decomposition approach. The paper seems technically sound, but the results are somewhat incremental and may suffer from limited impact at NIPS.



Block Coordinate Regularization by Denoising

Neural Information Processing Systems

We consider the problem of estimating a vector from its noisy measurements using a prior specified only through a denoising function. Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the state-of-the-art performance of estimators under such priors in a range of imaging tasks.