Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion

Ghanem, Sally; Panahi, Ashkan; Krim, Hamid; Kerekes, Ryan A.

doi:10.1109/jsen.2020.2999461

Title: Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion

Abstract

Robust Subspace Recovery (RoSuRe) algorithm was recently introduced as a principled and numerically efficient algorithm that unfolds underlying Unions of Subspaces (UoS) structure, present in the data. The union of Subspaces (UoS) is capable of identifying more complex trends in data sets than simple linear models. In this work, we build on and extend RoSuRe to prospect the structure of different data modalities individually. We propose a novel multi-modal data fusion approach based on group sparsity which we refer to as Robust Group Subspace Recovery (RoGSuRe). Relying on a bi-sparsity pursuit paradigm and non-smooth optimization techniques, the introduced framework learns a new joint representation of the time series from different data modalities, respecting an underlying UoS model. We subsequently integrate the obtained structures to form a unified subspace structure. The proposed approach exploits the structural dependencies between the different modalities data to cluster the associated target objects. The resulting fusion of the unlabeled sensors’ data from experiments on audio and magnetic data has shown that our method is competitive with other state of the art subspace clustering methods. The resulting UoS structure is employed to classify newly observed data points, highlighting the abstraction capacity of the proposed method.

Authors:

^[1]; Panahi, Ashkan ^[2];

^[1];

^[3]

North Carolina State Univ., Raleigh, NC (United States)
North Carolina State Univ., Raleigh, NC (United States); Chalmers Univ. of Technology, Gothenburg (Sweden)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Thu Oct 15 00:00:00 EDT 2020

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1666012

Grant/Contract Number:: AC05-00OR22725; NA0002576

Resource Type:: Accepted Manuscript

Journal Name:: IEEE Sensors Journal

Additional Journal Information:: Journal Volume: 20; Journal Issue: 20; Journal ID: ISSN 1530-437X

Publisher:: IEEE

Country of Publication:: United States

Language:: English

Subject:: 47 OTHER INSTRUMENTATION; Sensor fusion; data integration; data models; sparse matrices; magnetic sensors; sensor phenomena and characterization; sparse learning; unsupervised classification; data fusion; multimodal data

Citation Formats


                    Ghanem, Sally, Panahi, Ashkan, Krim, Hamid, and Kerekes, Ryan A. Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion.  United States: N. p., 2020. 
Web.  doi:10.1109/jsen.2020.2999461.

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                    Ghanem, Sally, Panahi, Ashkan, Krim, Hamid, & Kerekes, Ryan A. Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion.  United States.  https://doi.org/10.1109/jsen.2020.2999461

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                    Ghanem, Sally, Panahi, Ashkan, Krim, Hamid, and Kerekes, Ryan A. Thu .  
"Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion".  United States.  https://doi.org/10.1109/jsen.2020.2999461.  https://www.osti.gov/servlets/purl/1666012.

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@article{osti_1666012,

  title        = {Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion},

  author       = {Ghanem, Sally and Panahi, Ashkan and Krim, Hamid and Kerekes, Ryan A.},

  abstractNote = {Robust Subspace Recovery (RoSuRe) algorithm was recently introduced as a principled and numerically efficient algorithm that unfolds underlying Unions of Subspaces (UoS) structure, present in the data. The union of Subspaces (UoS) is capable of identifying more complex trends in data sets than simple linear models. In this work, we build on and extend RoSuRe to prospect the structure of different data modalities individually. We propose a novel multi-modal data fusion approach based on group sparsity which we refer to as Robust Group Subspace Recovery (RoGSuRe). Relying on a bi-sparsity pursuit paradigm and non-smooth optimization techniques, the introduced framework learns a new joint representation of the time series from different data modalities, respecting an underlying UoS model. We subsequently integrate the obtained structures to form a unified subspace structure. The proposed approach exploits the structural dependencies between the different modalities data to cluster the associated target objects. The resulting fusion of the unlabeled sensors’ data from experiments on audio and magnetic data has shown that our method is competitive with other state of the art subspace clustering methods. The resulting UoS structure is employed to classify newly observed data points, highlighting the abstraction capacity of the proposed method.},

  doi          = {10.1109/jsen.2020.2999461},

  journal      = {IEEE Sensors Journal},

  number       = 20,

  volume       = 20,

  place        = {United States},

  year         = {Thu Oct 15 00:00:00 EDT 2020},

  month        = {Thu Oct 15 00:00:00 EDT 2020}

}

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Title: Robust Group Subspace Recovery: A New Approach for Multi-Modality Data Fusion

Abstract

Citation Formats

Two decades of array signal processing research: the parametric approach journal, July 1996

Sparse Subspace Clustering: Algorithm, Theory, and Applications preprint, January 2012

Distributed classification of acoustic targets in wireless audio-sensor networks journal, September 2008

Bi-sparsity pursuit: A paradigm for robust subspace recovery journal, November 2018

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Multimodal sparse and low-rank subspace clustering journal, January 2018

Low-Rank Tensor Constrained Multiview Subspace Clustering conference, December 2015

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A geometric analysis of subspace clustering with outliers journal, August 2012

Enhanced Detectability of Community Structure in Multilayer Networks through Layer Aggregation journal, June 2016

Information Subspace-Based Fusion for Vehicle Classification conference, September 2018

Multisensor data fusion: A review of the state-of-the-art journal, January 2013

Multi-task low-rank affinity pursuit for image segmentation conference, November 2011

On the Role of Sparse and Redundant Representations in Image Processing journal, June 2010

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RFTraffic: a study of passive traffic awareness using emitted RF noise from the vehicles journal, January 2012

Two decades of array signal processing research: the parametric approach journal, July 1996

Critiques on some combination rules for probability theory based on optimization techniques conference, July 2007

Convex optimization approach to identify fusion for multisensor target tracking journal, May 2001

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Multimodal Data Fusion: An Overview of Methods, Challenges, and Prospects journal, September 2015

Vehicle Classification and Identification Using Multi-Modal Sensing and Signal Learning conference, June 2017

On the use of instantaneous and transitional spectral information in speaker recognition journal, June 1988

Methods of combining multiple classifiers and their applications to handwriting recognition journal, January 1992

Prediction Intervals to Account for Uncertainties in Travel Time Prediction journal, June 2011

The use of RFID for traffic management journal, January 2008

Vehicle re-identification using wireless magnetic sensors: Algorithm revision, modifications and performance analysis conference, July 2011

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Kernel sparse subspace clustering conference, October 2014

Multiscale Hybrid Linear Models for Lossy Image Representation journal, December 2006

Analysis Dictionary Learning Based Classification: Structure for Robustness journal, December 2019

Bi-sparsity pursuit: A paradigm for robust subspace recovery journal, November 2018

A Note on the Use of Principal Components in Regression journal, January 1982

Speaker Verification Using Adapted Gaussian Mixture Models journal, January 2000

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Distributed classification of acoustic targets in wireless audio-sensor networks journal, September 2008

Vehicle re-identification with a single magnetic sensor conference, May 2012

Two decades of array signal processing research: the parametric approach
journal, July 1996

Sparse Subspace Clustering: Algorithm, Theory, and Applications
preprint, January 2012

Distributed classification of acoustic targets in wireless audio-sensor networks
journal, September 2008

Bi-sparsity pursuit: A paradigm for robust subspace recovery
journal, November 2018

Clustering disjoint subspaces via sparse representation
conference, March 2010

Sparse subspace clustering
conference, June 2009

Sparse Subspace Clustering: Algorithm, Theory, and Applications
journal, November 2013

Multimodal sparse and low-rank subspace clustering
journal, January 2018

Low-Rank Tensor Constrained Multiview Subspace Clustering
conference, December 2015

Robust Recovery of Subspace Structures by Low-Rank Representation
journal, January 2013

A geometric analysis of subspace clustering with outliers
journal, August 2012

Enhanced Detectability of Community Structure in Multilayer Networks through Layer Aggregation
journal, June 2016

Information Subspace-Based Fusion for Vehicle Classification
conference, September 2018

Multisensor data fusion: A review of the state-of-the-art
journal, January 2013

Multi-task low-rank affinity pursuit for image segmentation
conference, November 2011

On the Role of Sparse and Redundant Representations in Image Processing
journal, June 2010

Robust principal component analysis?
journal, May 2011

Vehicle detection and localization using Unattended Ground Magnetometer Sensors
conference, July 2010

RFTraffic: a study of passive traffic awareness using emitted RF noise from the vehicles
journal, January 2012

Two decades of array signal processing research: the parametric approach
journal, July 1996

Critiques on some combination rules for probability theory based on optimization techniques
conference, July 2007

Convex optimization approach to identify fusion for multisensor target tracking
journal, May 2001

An introduction to multisensor data fusion
journal, January 1997

Isoradial Bodies
journal, August 2004

Multimodal Data Fusion: An Overview of Methods, Challenges, and Prospects
journal, September 2015

Vehicle Classification and Identification Using Multi-Modal Sensing and Signal Learning
conference, June 2017

On the use of instantaneous and transitional spectral information in speaker recognition
journal, June 1988

Methods of combining multiple classifiers and their applications to handwriting recognition
journal, January 1992

Prediction Intervals to Account for Uncertainties in Travel Time Prediction
journal, June 2011

The use of RFID for traffic management
journal, January 2008

Vehicle re-identification using wireless magnetic sensors: Algorithm revision, modifications and performance analysis
conference, July 2011

Wireless magnetic sensors for traffic surveillance
journal, June 2008

Kernel sparse subspace clustering
conference, October 2014

Multiscale Hybrid Linear Models for Lossy Image Representation
journal, December 2006

Analysis Dictionary Learning Based Classification: Structure for Robustness
journal, December 2019

Bi-sparsity pursuit: A paradigm for robust subspace recovery
journal, November 2018

A Note on the Use of Principal Components in Regression
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journal, January 2000

Improved adaptive Gaussian mixture model for background subtraction
conference, January 2004

Distributed classification of acoustic targets in wireless audio-sensor networks
journal, September 2008

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conference, May 2012