Haitian
Scientific Society Seminar
Series
Saturday May 27, 2023
12:45-2:30
Zoom-Link: https://umassboston.zoom.us/j/93139842515
https://www.haitianscientificsociety.org/
Computation of Posterior Cramer-Rao Bounds for Deep Learning
Networks
Jean Eugène Piou
Massachusetts Institute of Technology- Lincoln Laboratory
Abstract: One of the key advantages of deep learning over traditional
automatic target recognition (ATR) is its features can be directly selected by
the network and do not necessary need, like the ATR, the designer input
parametric constraints to carry out its operation. However, this advantage has
its pitfall; because the network considers so many features, the possibility to
develop Cramer-Rao lower bounds that take into account
size of an input image, its key scattering centers and its signal-to-noise
ratio (SNR), and also the depth, width, weight and bias matrices from different
layers of the network, is limited. In
this talk, state space matrices that capture the features of an input image,
the state vector and output observation matrix that allow computation of the
noise covariance matrices together with the network parameters and weight
matrices are used to develop Cramer-Rao bounds from an input image that is fed
to a multiple-layer deep learning network. The proposed bounds are computed
from the residual network 50 (Resnet50) that is trained and tested on MSTAR
data collected at HH polarization by a 0.596 GHz radar bandwidth at fifteen-
and seventeen-degree depression angles, respectively. Results from the bounds
are later exploited to retrain Resnet50 and achieve dramatic performance on
test data.
Bio: Dr. Piou is a lead researcher at
MIT-Lincoln Laboratory.
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Topic: HSS Seminar series
Time: Apr 29, 2023 12:45 PM Eastern Time (US and Canada)
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Meeting ID: 931 3984 2515
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