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Activity Number:
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101
- Making an Impact in Neuroscience: Advances in Statistical Methods for Brain Imaging
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Type:
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Invited
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Date/Time:
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Monday, July 29, 2019 : 8:30 AM to 10:20 AM
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Sponsor:
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SSC
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Abstract #300152
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Title:
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Nonparametric Matrix Response Regression with Application to Calcium Imaging
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Author(s):
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Dehan Kong*
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Companies:
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University of Toronto
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Keywords:
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Nonparametric regression;
Matrix data;
Nuclear norm;
Low rank;
Risk bound
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Abstract:
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We propose a novel nonparametric matrix response regression model to study the association between 2D-image outcomes and other predictors. Our estimation procedure can be formulated as a nuclear norm regularization problem. We develop an efficient algorithm to solve the optimization problem and introduce a Bayesian information criterion for our model to select the tuning parameters. Asymptotic theories including the risk bound and rank consistency are derived. We finally evaluate the empirical performance of our method using numerical simulations and a real data application from the calcium imaging study.
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Authors who are presenting talks have a * after their name.
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