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Problems in Nonlinear Bayesian Inference

Problems in Nonlinear Bayesian Inference. Dr. Samuel Shapero. Samuel.Shapero@gtri.gatech.edu. June 18 th , 2014. Bayesian Inference. How do we find an optimal hypothesis given available evidence ?. H2. H3. H1. Applications. Multiple Hypothesis Tracking

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Problems in Nonlinear Bayesian Inference

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  1. Problems in NonlinearBayesian Inference Dr. Samuel Shapero Samuel.Shapero@gtri.gatech.edu June 18th, 2014

  2. Bayesian Inference How do we find an optimal hypothesis given available evidence? H2 H3 H1

  3. Applications Multiple Hypothesis Tracking • Target tracking with range-denied measurements (sponsored project) • Agile emitter identification (FY2015 IRAD) Sparse Coding • Subnyquist RWR (FY2015 IRAD) • Compressed Sensing Recovery

  4. N M y â Applications Compressed Sensing Recovery for Medical Imaging [Vasanawala et al. 2011, Shapero et al. 2012] Sparse Components Low Cost Measurement Original Object Compressed Sensing Sparse Approximation x Φ = Recovered Image Bottleneck! Requires speed [Shapero et al., JETCAS, 2012]

  5. Neuromorphic Hardware – RAIN Sparse approximation problems Spiking Neural Networks LOTS OF MATH TESTING CHIP DESIGN RAIN Chip -developed @GT

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