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SILO Seminar – Anru Zhang

Event Details

When: October 7, 2015, 12:30 PM

Location: 3rd Floor Orchard View Room , Discovery Building

Contact: 608-316-4401, hstampfli@wisc.edu

Anru Zhang

Anru Zhang, Asst. Prof. Statistics, UW-Madison

High-dimensional low-rank matrix recovery

High-dimensional low-rank structure arises in many applications including genomics, signal processing, and social science. In this talk, we discuss some recent results on high-dimensional low-rank matrix recovery, including low-rank matrix recovery via rank-one projections and structured matrix completion. We provide theoretical justifications for the proposed methods and derive lower bounds for the estimation errors. The proposed estimators are shown to be rate-optimal under certain conditions. The methods are applied to integrate several ovarian cancer genomic studies, which enables us to construct more accurate prediction rules for ovarian cancer survival. Several extensions and related problems are also discussed.

SILO is a lecture series with speakers from the UW faculty, graduate students or invited researchers that discuss mathematical related topics. The seminars are organized by WID’s Optimization research group.

SILO’s purpose is to provide a forum that helps connect and recruit mathematically-minded graduate students. SILO is a lunch-and-listen format, where speakers present interesting math topics while the audience eats lunch.