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Imaging and Sensing (Optimization) Seminar

October 18, 2022 - 3:00pm

Where: 362B (ACS building)

When: 15:00-16:00

Speaker: Roummel Marcia

Title: Interpretability of ReLU for Inversion

Abstract: In this talk, we focus on the mathematical interpretability of fully-connected neural networks, especially those that use a rectified linear unit (ReLU) activation function. Our analysis elucidates the difficulty of approximating the reciprocal function. Notwithstanding, using the ReLU activation function halves the error compared with a linear model. In addition, one might have expected the errors to increase only towards a singular point, but both the linear and ReLU errors are fairly oscillatory and increase near both edge points.