**Namrata Vaswani's
Publications**

**Page
for Online
(Recursive) Robust PCA or Recursive Sparse Recovery in Large but Structured
Noise**

**Page
for Recursive Recovery of Sparse Signal Sequences
from Compressive Measurements (Recursive Dynamic CS)**

**This page is not
always updated. Please see ArXiv and/or my Google
Scholar page for the latest list of my papers.**

**Two talks that
summarize my recent work**

**Online Robust PCA or Online Sparse + Low-Rank
Matrix Recovery, Dept. Seminar in the ECE dept at CMU, February 2015**

Also given in Communications and Signal Processing seminars at U. Michigan, Michigan State, Caltech, Rice, UT-Austin, TAMU, U. Iowa

**Dynamic Structured Signals Recovery
and Applications in Bioimaging, Dept. Colloquium
in the ECE dept at UIUC, December 2013**

Also given at Northwestern University. Older versions of this talk also given at IISc Bangalore, UCSD, UCLA, UCSB, Caltech, U. Maryland, Northwestern Univ, Princeton.

**Recent Preprints **

o Brian Lois and Namrata Vaswani, Online Matrix Completion and Online Robust PCA, ISIT 2015, long version at arXiv:1503.03525 under submission (this paper strictly improves upon the result of the ICASSP 2015 paper)

o First correctness result: Brian Lois and Namrata Vaswani, A Correctness Result for Online Robust PCA, ICASSP 2015

o
**Overview
article:** N. Vaswani and J. Zhan, Recursive
Recovery of Sparse Signal Sequences from Compressive Measurements: A Review, revised and resubmitted to IEEE Trans. Signal
Processing. Code (for generating all its
figures)

o Namrata Vaswani,
Kalman Filtered
Compressed Sensing, IEEE Intl. Conf. Image Proc. (ICIP), 2008. LS-CS and KF-CS code

1.
N.
Vaswani, C. Qiu, B. Lois, H. Guo, J. Zhan, Online
(Recursive) Robust Principal Components Analysis, in Handbook on Robust
Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing,
Eds. T. Bouwmans, CRC Press, Taylor and Francis Group, to appear

2.
W.
Lu, I. Atkinson and N. Vaswani, Recursive Reconstruction of Highly Undersampled Functional MRI Sequences, in Physics, Image
Reconstruction, and Analysis, Taylor and Francis, Eds
A. Majumdar and R. Ward, to appear

3. N.
Vaswani and W. Lu, Recursive
Reconstruction of Sparse Signal Sequences, bookchapter
in *Filtering from Undersampled
Data with an Introduction to Compressed Sensing*, Springer, Eds M. Mihaylova, A. Carmi, S. Godsill, to appear 2013

4.
N. Vaswani, A.K. Agrawal,
Q. Zheng, R. Chellappa, Moving Object
Detection and Compression in IR Sequences, bookchapter
in Computer Vision beyond the Visible Spectrum, Eds
B. Bhanu and I. Pavlidis,
Springer, 2003

**Journal Papers and Highly
Selective Conference Papers (the papers that I think are most interesting are
shown in bold)**

1.
Jinchun Zhan and Namrata Vaswani, __Robust PCA
with Partial Subspace Knowledge,__ to appear, IEEE Trans.
Signal Processing, 2015

**2.
****Jinchun Zhan and Namrata Vaswani, Time Invariant Error Bounds for
Modified-CS based Sparse Signal Sequence Recovery****, IEEE Trans. Information Theory,
March 2015**

**3.
****Chenlu Qiu,
Namrata Vaswani, Brian Lois and Leslie Hogben, Recursive
Robust PCA or Recursive Sparse Recovery in Large but Structured Noise, IEEE
Trans. Information Theory, August 2014, arXiv:1211.3754v6 [cs.IT]. ReProCS
code**

**4. ****Han
Guo, Chenlu Qiu and Namrata Vaswani, ****An Online Algorithm for Separating Sparse and
Low-dimensional Signal Sequences from their Sum, IEEE Trans. Signal Processing, 2014, arXiv:1310.4261 [cs.IT] (older title: Practical ReProCS
for Separating Sparse and Low-dimensional Signal Sequences from their Sum), ReProCS
code**

5. Daguang Xu, Namrata Vaswani, Yong Huang, Jin U. Kang, Modified compressive sensing optical coherence tomography with noise reduction, Optics Letters, vol 37, No. 20, October 2012 Modified-CS code

6.
Wei Lu and Namrata
Vaswani, Exact Reconstruction Conditions
for Regularized Modified Basis Pursuit, IEEE Trans. Signal Processing, vol.
60, No. 5, May, 2012

7.
Samarjit Das, Amit
Kale and Namrata Vaswani, Particle Filter
with Mode Tracker (PF-MT) for Visual Tracking across Illumination Changes,
IEEE Trans. Image Processing, April 2012

8.
Wei Lu and Namrata
Vaswani, Regularized Modified BPDN for Noisy
Sparse Reconstruction with Partial Erroneous Support and Signal Value Knowledge,
IEEE Trans. Signal Processing, Vol. 60, No. 1, January, 2012 Modified-CS code

**9. ****Namrata Vaswani and Wei Lu, ****Modified-CS:
Modifying Compressive Sensing for Problems with Partially Known Support, IEEE Trans. Signal Processing,
Vol. 58, No. 9, September, 2010. ****Modified-CS
code [IEEE Signal Processing Society Best Paper Award 2014]**

**10. ****Namrata Vaswani, LS-CS-residual
(LS-CS): Compressive Sensing on the Least Squares Residual, IEEE
Trans. Signal Processing, Vol. 58, No. 8, August, 2010. ****LS-CS and KF-CS code**

11. Samarjit Das and Namrata
Vaswani, Nonstationary
Shape Activities: Dynamic Models for Landmark Shape Change and Applications,
IEEE Trans. Pattern Analysis and Machine Intelligence (PAMI), Vol. 32, No. 4,
April, 2010

12. Namrata Vaswani,
Yogesh Rathi, Anthony
Yezzi, Allen Tannenbaum, Deform
PF-MT: Particle Filter with Mode Tracker for Tracking Nonaffine
Contour Deformations, IEEE Trans. Image Processing, Vol. 19, No. 4,
April 2010.

13. Namrata Vaswani, Particle Filtering for Large
Dimensional State Spaces with Multimodal Observation Likelihoods, IEEE
Trans. Signal Processing, pp.4583-4597, Oct. 2008.

14. Yogesh Rathi, Namrata Vaswani, Allen Tannenbaum, Anthony
Yezzi, Tracking Deforming Objects using Particle
Filtering for Geometric Active Contours, IEEE Trans. on Pattern Analysis
and Machine Intelligence (PAMI), pp. 1470-1475, August 2007.

15. Yogesh Rathi, Namrata Vaswani, Allen Tannenbaum, A Generic Framework for Tracking using Particle Filter with Dynamic Shape Prior, IEEE Trans. Image Processing, pp.1370-1382, May 2007

16. Namrata Vaswani, Additive Change Detection in Nonlinear Systems with
Unknown Change Parameters, IEEE Trans.
Signal Processing, pp. 859-872, March 2007.

17. Namrata Vaswani, Rama Chellappa, Principal Component Null Space Analysis for Image and Video
Classification, IEEE Trans. Image Processing, pp. 1816-1830, July 2006.

18. Namrata Vaswani, Amit Roy-Chowdhury, Rama Chellappa, "Shape Activity": A Continuous State HMM for Moving/Deforming Shapes with Application to Abnormal Activity Detection, IEEE Trans. Image Processing, pp 1603-1616, October 2005

19. A. Ramamoorthy, Namrata
Vaswani, S. Chaudhury and S. Bannerjee, Recognition
of Dynamic Hand Gestures , Pattern Recognition, Vol. 36, No. 9, pp.
2069-2081, September, 2003

20. Bi Song, Namrata
Vaswani, Amit Roy-Chowdhury, Closed-loop Tracking
and Change Detection in Multi-Activity Sequences, IEEE Intl. Conf. on
Computer Vision and Pattern Recognition (CVPR), 2007. (Acceptance rate: 25%)

21. Yogesh Rathi, Namrata Vaswani , Allen Tannenbaum, Anthony Yezzi, "Particle Filtering for Geometric Active Contours
and Application to Tracking Deforming Objects", IEEE Intl. Conference
on Computer Vision and Pattern Recognition (CVPR), 2005, oral. (Acceptance rate: 6%)

22. Namrata Vaswani, Bound on Errors in
Particle Filtering with Incorrect Model Assumptions and its Implication
for Change Detection, IEEE Intl. Conference on Acoustics, Speech and Signal
Processing (ICASSP), 2004. *Selected among top 15% papers in Signal Processing Theory and Methods
category, and received an invitation to submit to IEEE Signal Processing
Society journals.*
(Acceptance rate: 15%*50% = 7.5%)

23. Namrata Vaswani,
A. RoyChowdhury, Rama Chellappa, "Activity Recognition Using the Dynamics of the
Configuration of Interacting Objects", IEEE Computer Vision and
Pattern Recognition (CVPR), 2003. (Acceptance
rate: 25%)

**All
Conference Papers (reverse chronological order)**

o
**Brian
Lois and Namrata Vaswani, Online
Matrix Completion and Online Robust PCA, IEEE Intl. Symp.
Info. Theory (ISIT), 2015**

o Brian Lois and Namrata Vaswani, A Correctness Result for Online Robust PCA, IEEE Intl. Conf. Acous. Speech. Sig. Proc. (ICASSP), 2015

o
Jinchun Zhan and Namrata Vaswani, __Robust PCA
with Partial Subspace Knowledge,__ IEEE Intl. Symp. Info. Theory (ISIT) 2014

o
Jinchun Zhan and Namrata Vaswani, __Performance Guarantees for ReProCS
-- Correlated Low-Rank Matrix Entries Case__, IEEE Intl. Symp. Info. Theory (ISIT) 2014

o Han
Guo, Chenlu Qiu and Namrata Vaswani, Practical
ReProCS for Separating Sparse and Low-dimensional
Signal Sequences from their Sum, IEEE Intl. Conf. Acous. Speech. Sig. Proc. (ICASSP), 2014, long
version: arXiv:1310.4261 [cs.IT]

o Brian
Lois, Namrata Vaswani and Chenlu Qiu, Performance Guarantees for Undersampled Recursive Sparse Recovery in Large but
Structured Noise, IEEE GlobalSIP, 2013 (in Symposium on New Sensing and
Statistical Inference Methods), **invited.**
ReProCS
code

o
Chenlu Qiu and Namrata Vaswani, Recursive Sparse Recovery in Large but
Structured Noise - Part 2, IEEE Intl. Symp.
Info. Theory (ISIT) 2013. ReProCS
code

o Jinchun Zhan and Namrata Vaswani, Time Invariant Error Bounds for Modified-CS based Sparse Signal Sequence Recovery, IEEE Intl. Symp. Info. Theory (ISIT) 2013. ReProCS code

o Chenlu Qiu , Namrata Vaswani and Leslie
Hogben, Recursive Robust PCA or
Recursive Sparse Recovery in Large but Structured Noise, IEEE Intl. Conf. Acous. Speech.
Sig. Proc. (ICASSP), 2013. ReProCS
code

o Jinchun Zhan, Namrata Vaswani and Ian
Atkinson, Separating Sparse and Low-Dimensional
Signal Sequence from Time-varying Undersampled
Projections of their Sums, IEEE Intl. Conf. Acous. Speech. Sig. Proc. (ICASSP), 2013

o Rituparna Sarkar, Namrata Vaswani and
Samarjit Das, Tracking Sparse Signal Sequences
from Nonlinear/Non-Gaussian Measurements and Applications in
Illumination-Motion Tracking, IEEE Intl. Conf.
Acous. Speech. Sig. Proc. (ICASSP), 2013

o Chenlu Qiu and Namrata Vaswani, Recursive
Sparse Recovery in Large but Correlated Noise, Allerton
2011 ReProCS code

o Chenlu Qiu and
Namrata Vaswani, Support Predicted Modified-CS for
Recursive Robust Principal Components' Pursuit, IEEE Intl. Symp. Info. Theory (ISIT) 2011. ReProCS
code

o
Wei Lu, Taoran Li, Ian Atkinson, Namrata
Vaswani, Modified-CS-Residual
for Recursive Reconstruction of Highly Undersampled
Functional MRI Sequences, IEEE Intl. Conf. Image Proc. (ICIP) 2011. Modified-CS code

o Fardad Raisali
and Namrata Vaswani, Stability (over time) of
Regularized Modified-CS (noisy) for Recursive Causal Sparse Reconstruction,
CISS 2011

o Chenlu Qiu and
Namrata Vaswani, Real-time
Robust Principal Components' Pursuit, Allerton,
2010 ReProCS
(same as RRPCP) code

o
Namrata Vaswani, Stability (over time) of Modified-CS for
Recursive Causal Sparse Reconstruction, Allerton
2010 **(invited)** Talk

o
Wei Lu and Namrata Vaswani, Exact Reconstruction Conditions and Error Bounds
for Regularized Modified Basis Pursuit, Asilomar
2010

o Samarjit Das and
Namrata Vaswani, Particle Filtered Modified Compressive
Sensing (PaFiMoCS) for tracking signal sequences,
Asilomar 2010 **(invited)**. Talk

o Wei Lu and Namrata Vaswani, Modified Basis Pursuit Denoising
(Modified-BPDN) For Noisy Compressive Sensing With Partially Known Support, IEEE Intl.
Conf. Acous. Speech. Sig.Proc.(ICASSP), 2010. Modified-CS code

o Wei Lu and
Namrata Vaswani, Modified
Compressive Sensing for Real-time Dynamic MR Imaging, IEEE Intl. Conf.
Image Proc (ICIP), 2009 Modified-CS code

o Namrata Vaswani
and Wei Lu, Modified-CS:
Modifying Compressive Sensing for Problems with Partially Known Support,
IEEE Intl. Symp. Info. Theory (ISIT), 2009. Modified-CS code

o Namrata Vaswani,
Analyzing Least Squares and Kalman
Filtered Compressed Sensing, IEEE Intl. Conf. Acous.
Speech. Sig. Proc. (ICASSP), 2009. LS-CS and KF-CS code

o Chenlu Qiu, Wei
Lu and Namrata Vaswani, Real-time Dynamic MR Image
Reconstruction using Kalman Filtered Compressed
Sensing,* *IEEE Intl. Conf. Acous. Speech.
Sig. Proc. (ICASSP), 2009.

o S. Das and N.
Vaswani, Efficient importance sampling techniques for large dimensional and
multimodal posterior computations, IEEE Digital Signal Processing/SPE Workshop,
Miami FL, Jan 2009 (invited)

o **Namrata Vaswani, Kalman Filtered Compressed Sensing, IEEE Intl. Conf.
Image Proc. (ICIP), 2008. ****LS-CS and KF-CS code**

o Amit Kale and
Namrata Vaswani,
Generalized ELL for Detecting and Tracking Through
Illumination Model Changes, IEEE Intl. Conf. Image Proc. (ICIP), 2008.

o Samarjit Das and
Namrata Vaswani, Model-based Compression of Nonstationary Landmark Shape Sequences, IEEE Intl.
Conf. Image Proc. (ICIP), 2008.

o Bi Song, Namrata
Vaswani, Amit Roy-Chowdhury, Closed-loop Tracking and
Change Detection in Multi-Activity Sequences, IEEE Intl. Conf. on
Computer Vision and Pattern Recognition (CVPR), 2007.

o Namrata Vaswani
and Samarjit Das, Particle Filter with Efficient
Importance Sampling and Mode Tracking (PF-EIS-MT) and its Application to
Landmark Shape Tracking, Asilomar 2007**
(invited)**

o Amit Kale,
Namrata Vaswani, Christopher Jaynes, Particle Filter with Mode Tracker (PF-MT) for
Visual Tracking across Illumination Change, IEEE Intl. Conf. on Acoustics,
Speech and Signal Processing (ICASSP), 2007

o Namrata Vaswani,
PF-EIS and PF-MT: New Particle Filtering Algorithms
for Multimodal Observation Likelihoods and Large Dimensional State Spaces,
IEEE Intl. Conference on Acoustics, Speech and Signal Processing
(ICASSP), 2007

o Namrata Vaswani,
Anthony Yezzi, Yogesh Rathi,
Allen Tannenbaum, Particle
Filters for Infinite (Or Large) Dimensional State Spaces - Part 1,
IEEE Intl. Conference on Acoustics, Speech and Signal Processing
(ICASSP), 2006.

o Namrata
Vaswani, Particle Filters for Infinite (Or Large)
Dimensional State Spaces - Part 2 , IEEE Intl. Conference on Acoustics,
Speech and Signal Processing (ICASSP), 2006.

o Bi Song, Namrata
Vaswani and Amit K. Roy-Chowdhury, Summarization
and Indexing of Human Activity Sequences, IEEE Conf. on Image Processing
(ICIP), 2006.

o NamrataVaswani, Anthony Yezzi, Yogesh
Rathi, Allen Tannenbaum, Time-varying Finite Dimensional Basis for Tracking
Contour Deformations, IEEE Conf. on Decision and Control (CDC), 2006.

o Yogesh Rathi, Namrata
Vaswani , Allen Tannenbaum, Anthony Yezzi, Particle Filtering for Geometric Active Contours
and Application to Tracking Deforming Objects, IEEE Intl. Conference on
Computer Vision and Pattern Recognition (CVPR), 2005, oral.

o Namrata Vaswani
and Rama Chellappa, NonStationary
"Shape Activities", IEEE Conf. on Decision and Control
(CDC), 2005.

o Namrata Vaswani,
" The Modified CUSUM Algorithm for Slow
and Drastic Change Detection in General HMMs with Unknown Change Parameters", IEEE Intl. Conference on Acoustics, Speech and Signal
Processing (ICASSP), 2005. *There is an error in section 3, first paragraph:
the averaging (dividing by 1/p) should be removed.*

o Namrata Vaswani, Bound on Errors in
Particle Filtering with Incorrect Model Assumptions and its Implication for
Change Detection, IEEE Intl. Conference on Acoustics, Speech and Signal
Processing (ICASSP), 2004. ** Selected among top 15% papers in
Signal Processing Theory and Methods category, and received an invitation to
submit to IEEE Signal Processing Society journals.**

o Namrata Vaswani,
"Change Detection in Partially Observed
Nonlinear Dynamic Systems With Unknown Change
Parameters", American Control Conference (ACC), 2004.

o Namrata Vaswani,
Rama Chellappa, "Classification
Probability Analysis of Principal Component Null Space Analysis",
Intl. Conference on Pattern Recognition
(ICPR), 2004.

o Namrata Vaswani,
A. RoyChowdhury, Rama Chellappa, "Activity Recognition Using the Dynamics of the
Configuration of Interacting Objects", IEEE Computer Vision and
Pattern Recognition (CVPR), 2003.

o Namrata Vaswani,
A. RoyChowdhury, R. Chellappa, Statistical Shape Theory for Activity Modeling,
IEEE Intl. Conf. on Acoustics, Speech and Signal Processing (ICASSP), 2003.

o Namrata Vaswani
and Rama Chellappa, A Particle Filtering Approach
to Abnormality Detection in Nonlinear Systems and its Application to Abnormal
Activity Detection, 3rd Intl. Workshop on Statistical and Computational
Theories of Vision, held in conjunction with ICCV, 2003.

o R. Chellappa, N.Vaswani, A.RoyChowdhury, "Activity Modeling and Recognition Using Shape
Theory", Behavior Representation in Modeling and Simulation (BRIMS),
2003.

o Namrata Vaswani, A Linear
Classifier for Gaussian Class Conditional Distributions with Unequal Covariance
Matrices, Intl. Conference on Pattern Recognition (ICPR), 2002.

o NamrataVaswani and Rama Chellappa, Best View Selection and Compression of Moving
Objects in IR Sequences, IEEE Intl. Conf. on Acoustics, Speech and
Signal Processing (ICASSP), 2001.

o Meeta Sharma,
Namrata Vaswani and Suneet Tuli,
"Novel Techniques for Time and Frequency Domain Characterization of
Surface Acoustic Wave Devices", VIII National Symposium on Ultrasonics in 1997, at Amritsar, India.

**Ph.D. Thesis: **Change Detection
in Stochastic Shape Dynamical Models with Applications
in Activity Modeling and Abnormal Activity Detection