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Nearly-TightandObliviousAlgorithmsfor ExplainableClustering: FullVersion

Neural Information Processing Systems

Wegiveanalgorithm thatoutputs anexplainable clustering that loses at most a factor ofO(log2k) compared to an optimal (not necessarily explainable) clustering for thek-medians objective, and a factor of O(klog2k)forthek-meansobjective.









c86ff2d301940fce9357de92c5222b44-Supplemental-Conference.pdf

Neural Information Processing Systems

Stochastic Gradient Descent (SGD) has been the method of choice for learning large-scale non-convex models. While a general analysis of when SGD works has been elusive, there has been a lot of recent progress in understanding the convergence of Gradient Flow (GF) on the population loss, partly due to the simplicity thatacontinuous-time analysis buysus.