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Statistics and Data Science Seminar Andrea Montanari (Stanford University)

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Statistics and Data Science Seminar Polina Golland (MIT CSAIL)

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Statistics and Data Science Seminar Zhou Fan (Yale University)

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Statistics and Data Science Seminar Nike Sun (MIT)

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Statistics and Data Science Seminar Eric Kolaczyk (Boston University)

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Optimization of the Sherrington-Kirkpatrick Hamiltonian

Andrea Montanari (Stanford University)
32-141

Andrea Montanari Professor, Department of Electrical Engineering, Department of Statistics Stanford University This lecture is in conjunction with the LIDS Student Conference. Abstract: Let A be n × n symmetric random matrix with independent and identically distributed Gaussian entries above the diagonal. We consider the problem of maximizing xT Ax over binary vectors with ±1 entries.…

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Medical Image Imputation

Polina Golland (MIT CSAIL)
E18-304

Abstract: We present an algorithm for creating high resolution anatomically plausible images that are consistent with acquired clinical brain MRI scans with large inter-slice spacing. Although large databases of clinical images contain a wealth of information, medical acquisition constraints result in sparse scans that miss much of the anatomy. These characteristics often render computational analysis…

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TAP free energy, spin glasses, and variational inference

Zhou Fan (Yale University)

Abstract: We consider the Sherrington-Kirkpatrick model of spin glasses with ferromagnetically biased couplings. For a specific choice of the couplings mean, the resulting Gibbs measure is equivalent to the Bayesian posterior for a high-dimensional estimation problem known as "Z2 synchronization". Statistical physics suggests to compute the expectation with respect to this Gibbs measure (the posterior mean…

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Capacity lower bound for the Ising perceptron

Nike Sun (MIT)
E18-304

Abstract: The perceptron is a toy model of a simple neural network that stores a collection of given patterns. Its analysis reduces to a simple problem in high-dimensional geometry, namely, understanding the intersection of the cube (or sphere) with a collection of random half-spaces. Despite the simplicity of this model, its high-dimensional asymptotics are not…

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Why Aren’t Network Statistics Accompanied By Uncertainty Statements?

Eric Kolaczyk (Boston University)
E18-304

Abstract: Over 500K scientific articles have been published since 1999 with the word “network” in the title. And the vast majority of these report network summary statistics of one type or another. However, these numbers are rarely accompanied by any quantification of uncertainty. Yet any error inherent in the measurements underlying the construction of the…

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