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A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations

Abstract: 

In this paper we study the unmixing problem which aims
to separate a set of structured signals from their superposition.
In this paper, we consider the scenario in which
the mixture is observed via nonlinear compressive measurements.
We present a fast, robust, greedy algorithm called
Unmixing Matching Pursuit (UnmixMP) to solve this problem.
We prove rigorously that the algorithm can recover the
constituents from their noisy nonlinear compressive measurements
with arbitrarily small error. We compare our algorithm
to the Demixing with Hard Thresholding (DHT) algorithm
[1], in a number of experiments on synthetic and real data.

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Paper Details

Authors:
Dung Tran, Akshay Rangamani, Sang (Peter) Chin, Trac D. Tran
Submitted On:
17 April 2018 - 1:05pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Akshay Rangamani
Paper Code:
MLSP-L1.1
Document Year:
2018
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[1] Dung Tran, Akshay Rangamani, Sang (Peter) Chin, Trac D. Tran, "A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/2939. Accessed: Jul. 21, 2018.
@article{2939-18,
url = {http://sigport.org/2939},
author = {Dung Tran; Akshay Rangamani; Sang (Peter) Chin; Trac D. Tran },
publisher = {IEEE SigPort},
title = {A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations},
year = {2018} }
TY - EJOUR
T1 - A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations
AU - Dung Tran; Akshay Rangamani; Sang (Peter) Chin; Trac D. Tran
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/2939
ER -
Dung Tran, Akshay Rangamani, Sang (Peter) Chin, Trac D. Tran. (2018). A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations. IEEE SigPort. http://sigport.org/2939
Dung Tran, Akshay Rangamani, Sang (Peter) Chin, Trac D. Tran, 2018. A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations. Available at: http://sigport.org/2939.
Dung Tran, Akshay Rangamani, Sang (Peter) Chin, Trac D. Tran. (2018). "A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations." Web.
1. Dung Tran, Akshay Rangamani, Sang (Peter) Chin, Trac D. Tran. A Greedy Pursuit Algorithm For Separating Signals From Nonlinear Compressive Observations [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/2939