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Stochastics and Statistics Seminar Devavrat Shah (MIT)

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Stochastics and Statistics Seminar Yihong Wu (Yale University)

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Stochastics and Statistics Seminar Yuting Wei, Wharton School at UPenn

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Stochastics and Statistics Seminar Kevin Jamieson (University of Washington)

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Stochastics and Statistics Seminar Ronen Eldan (Weizmann Inst. of Science and Princeton)

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Stochastics and Statistics Seminar Morgane Austern (Harvard University)

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Causal Matrix Completion

Devavrat Shah (MIT)
E18-304

Abstract: Matrix completion is the study of recovering an underlying matrix from a sparse subset of noisy observations. Traditionally, it is assumed that the entries of the matrix are “missing completely atrandom” (MCAR), i.e., each entry is revealed at random, independent of everything else, with uniform probability. This is likely unrealistic due to the presence…

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Recent results in planted assignment problems

Yihong Wu (Yale University)
E18-304

Abstract: Motivated by applications such as particle tracking, network de-anonymization, and computer vision, a recent thread of research is devoted to statistical models of assignment problems, in which the data are random weight graphs correlated with the latent permutation. In contrast to problems such as planted clique or stochastic block model, the major difference here…

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Breaking the Sample Size Barrier in Reinforcement Learning

Yuting Wei, Wharton School at UPenn
E18-304

Abstract: Reinforcement learning (RL), which is frequently modeled as sequential learning and decision making in the face of uncertainty, is garnering growing interest in recent years due to its remarkable success in practice. In contemporary RL applications, it is increasingly more common to encounter environments with prohibitively large state and action space, thus imposing stringent…

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Instance Dependent PAC Bounds for Bandits and Reinforcement Learning

Kevin Jamieson (University of Washington)
E18-304

Abstract: The sample complexity of an interactive learning problem, such as multi-armed bandits or reinforcement learning, is the number of interactions with nature required to output an answer (e.g., a recommended arm or policy) that is approximately close to optimal with high probability. While minimax guarantees can be useful rules of thumb to gauge the difficulty…

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Revealing the simplicity of high-dimensional objects via pathwise analysis

Ronen Eldan (Weizmann Inst. of Science and Princeton)
E18-304

Abstract: One of the main reasons behind the success of high-dimensional statistics and modern machine learning in taming the curse of dimensionality is that many classes of high-dimensional distributions are surprisingly well-behaved and, when viewed correctly, exhibit a simple structure. This emergent simplicity is in the center of the theory of "high-dimensional phenomena", and is…

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Asymptotics of learning on dependent and structured random objects

Morgane Austern (Harvard University)
E18-304

Abstract:  Classical statistical inference relies on numerous tools from probability theory to study the properties of estimators. However, these same tools are often inadequate to study modern machine problems that frequently involve structured data (e.g networks) or complicated dependence structures (e.g dependent random matrices). In this talk, we extend universal limit theorems beyond the classical…

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