Abstract: Mirror descent, introduced by Nemirovsky and Yudin in the 1970s, is a primal-dual convex optimization method that can be tailored to the geometry of the optimization problem at hand through the choice of a strongly convex distance-generating potential function. It arises as a basic primitive in a variety of …
Abstract: Tensor decompositions generalize matrix decompositions from matrix data (i.e., 2-D arrays) to tensor data (i.e., N-D arrays) and are a fundamental technique for uncovering low-dimensional structure in high-dimensional datasets, with applications across all of science and engineering. Conventional tensor decompositions seek low-rank tensors that best fit the data with …
Abstract: Analyzing changes in network evolution is central to statistical network inference, as underscored by recent challenges of predicting and distinguishing pandemic-induced transformations in organizational and communication networks. We consider a joint network model in which each node has an associated time-varying low-dimensional latent vector of feature data, and connection …
Abstract: Large pre-trained models trained on internet-scale data are often not ready for safe deployment out of the box. They are heavily fine-tuned and aligned using large quantities of human preference data. When we want to align an AI/ML model to human preference or values, it is worthwhile to ask …
Abstract: The advent of large scale inference has spurred reexamination of conventional statistical thinking. In a series of highly original articles Efron showed in some examples that the ensemble of the null distributed test statistics grossly deviated from the theoretical null distribution and Efron persuasively illustrated the danger in assuming …
Abstract: Reinforcement Learning (RL) is the class of machine learning that addresses the problem of learning to control unknown dynamical systems. RL has achieved remarkable success recently in applications like playing games and robotics. However, most of these successes are limited to very structured or simulated environments. When applied to …