key contribution
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Reviews: A Polynomial Time Algorithm for Log-Concave Maximum Likelihood via Locally Exponential Families
Post-rebuttal: The authors have promised to incorporate an exposition of the sampler in the revised paper, I believe that will make the paper a more self-contained read. I maintain my rating of strong accept (8). I think this paper makes very nice contributions to the fundamental question of estimating the MLE distribution given a bunch of observations. I think the key contributions can be broken up into two key parts: - A bunch of simple but elegant structural results for the MLE distribution in terms of'tent distributions' -- distributions such that its log-density is piecewise linear, and is supported over subdivisions of the convex hull of the datapoints. This allows them to write a convex program for optimizing over tent distributions.
Technical Perspective: Visualization Search: From Sketching to Natural Language
Visualization enables effective data exploration by harnessing the higher bandwidth interactivity of the human visual cortex. But the space of possible visualizations is immense, such that general abstractions for creating (that is, finding) the right visualization are elusive, despite recent progress in systems like vega2 and Draco.1 The following paper provides a general abstraction, along with advanced interfaces, focusing on visualization search. If you have ever created a long sequence of visualizations looking for interesting patterns, you have manually performed a visualization search task. The visualization search problem is to find subsets of the data that, when suitably rendered, generate a visualization like a provided pattern specification. This task is intuitively difficult, requiring at least a model of visualization similarity, a representation of a massive search space, a strategy for navigating the search space, and appropriate interfaces through which users can express specifications.