Problems in Nonlinear Bayesian Inference

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Problems in Nonlinear Bayesian Inference Dr. Samuel Shapero 1 [email protected] h.edu June 18 th , 2014

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Problems in Nonlinear Bayesian Inference. Dr. Samuel Shapero. [email protected]. June 18 th , 2014. Bayesian Inference. How do we find an optimal hypothesis given available evidence ?. H2. H3. H1. Applications. Multiple Hypothesis Tracking - PowerPoint PPT Presentation

Transcript of Problems in Nonlinear Bayesian Inference

Page 1: Problems in Nonlinear Bayesian Inference

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Problems in Nonlinear

Bayesian Inference

Dr. Samuel [email protected]

June 18th, 2014

Page 2: Problems in Nonlinear Bayesian Inference

Bayesian Inference

How do we find an optimal hypothesis given available evidence?

Slide 2

H1

H3

H2

Page 3: Problems in Nonlinear Bayesian Inference

Multiple Hypothesis TrackingTarget tracking with range-denied

measurements (sponsored project)Agile emitter identification (FY2015

IRAD)

Sparse CodingSubnyquist RWR (FY2015 IRAD)Compressed Sensing Recovery

Applications

Slide 3

Page 4: Problems in Nonlinear Bayesian Inference

Compressed Sensing Recovery for Medical Imaging[Vasanawala et al. 2011, Shapero et al. 2012]

Original Object

RecoveredImage

SparseApproximation

CompressedSensing

x Φ

M

y

[Shapero et al., JETCAS, 2012]

Low Cost Measurement

â

N

Sparse Components

Bottleneck!

Requires speed

=

Slide 4

Applications

Page 5: Problems in Nonlinear Bayesian Inference

Sparse approximation problems

Spiking Neural Networks

Neuromorphic Hardware – RAIN

RAIN Chip -developed @GT

LOTS OF MATH

CHIP DESIGN TESTING


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