Imperial College London
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ProfessorPier LuigiDragotti

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Signal Processing
 
 
 
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Contact

 

+44 (0)20 7594 6192p.dragotti

 
 
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Location

 

814Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Dragotti:2016,
author = {Dragotti, P and Murray-Bruce, M},
pages = {331--335},
publisher = {IEEE},
title = {Solving physics-driven inverse problems via structured least squares},
url = {http://hdl.handle.net/10044/1/43138},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - Numerous physical phenomena are well modeled by partialdifferential equations (PDEs); they describe a wide range ofphenomena  across  many  application  domains,  from  model-ing EEG signals in electroencephalography to, modeling therelease and propagation of toxic substances in environmentalmonitoring. In these applications it is often of interest to findthe  sources  of  the  resulting  phenomena,  given  some  sparsesensor measurements of it.  This will be the main task of thiswork.  Specifically, we will show that finding the sources ofsuch PDE-driven fields can be turned into solving a class ofwell-known multi-dimensional structured least squares prob-lems.  This link is achieved by leveraging from recent resultsin modern sampling theory – in particular,  the approximateStrang-Fix  theory.   Subsequently,  numerical  simulation  re-sults  are  provided  in  order  to  demonstrate  the  validity  androbustness of the proposed framework.
AU  - Dragotti,P
AU  - Murray-Bruce,M
EP  - 335
PB  - IEEE
PY  - 2016///
SN  - 2076-1465
SP  - 331
TI  - Solving physics-driven inverse problems via structured least squares
UR  - http://hdl.handle.net/10044/1/43138
ER  -
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