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Statistics Seminar
Department of Mathematics and Statistics
DATE: | Thursday, April 20, 2022 |
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TIME: | 1:15pm – 2:40pm |
LOCATION: | WH 100E |
SPEAKER: | Jingze Liu, Binghamton University |
TITLE: | Statistical Inference using Generative Adversarial Networks |
Abstract
In this presentation, we investigate the potential of utilizing samples generated by Generative Adversarial Networks (GANs) as a replacement for the conventional bootstrap resampling technique. Our study introduces two procedures, one for low-dimensional and the other for high-dimensional cases, and demonstrates their theoretical properties. Notably, the high-dimensional method has a convergence rate that is independent of the data dimension. We present our preliminary simulation results, which demonstrate that our GAN-based bootstrap method can produce reliable estimates of the variability and construct valid confidence intervals in the low-dimensional scenario.