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Publications

2015

  • L. Adhikari, D. Zhu, C. Li, and R. Marcia, "Nonconvex reconstruction for low-dimensional fluorescence molecular tomographic Poisson observations," Proceedings of the 2015 IEEE International Conference on Image Processing, Quebec, Canada, (2015).
  • J. Erway and R. Marcia, "On efficiently computing the eigenvalues of limited-memory quasi-Newton matrices," SIAM Journal on Matrix Analysis and Applications, 36:3, pp. 1338-1359, (2015).
  • L. Adhikari and R. Marcia, "p-th power total variation regularization in photon-limited imaging via iterative reweighting," Proceedings of the 2015 European Signal Processing Conference, Nice, France, (2015).
  • L. Adhikari and R. Marcia, "Nonconvex relaxation for Poisson intensity reconstruction," Proceedings of 2015 IEEE International Conference on Acoustics, Speech and Signal Processing, Brisbane, Australia, (2015).

2014

  • J. Erway, V. Jain, and R. Marcia, " Shifted L-BFGS systems, " Optimization Methods and Software, 29:5, pp. 992-1004, (2014).
  • J. Erway and R. Marcia, "MSS: MATLAB Software for L-BFGS Trust-Region Subproblems for Large-Scale Optimization," ACM Transactions on Mathematical Software, 40:4, pp. 1-12, (2014).

2013

  • J. Erway, V. Jain, and R. Marcia, "Shifted limited-memory DFP systems," Proceedings of 2013 Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA (2013).
  • Z. Harmany, R. Marcia, and R. Willett, "Dual-scale masks for spatio-temporal compressive imaging," Proceedings of 2013 IEEE GlobalSIP Symposium on New Sensing and Statistical Inference Method (2013).

2012

  • M. J. Ablowitz, N. Antar, İ. Bakırtaş, and B. Ilan, "Vortex and dipole solitons in complex two-dimensional nonlinear lattices," Physical Review A 86:033804 (2012).
  • G. Salceda-Delgado, A. Martinez-Rios, B. Ilan, and D. Monzon-Hernandez, "Raman response function and Raman fraction of phosphosilicate fibers," Optical and Quantum Electronics (2012).
  • M.A. Hoefer and B. Ilan, "Dark solitons, dispersive shock waves, and transverse instabilities," SIAM Multiscale Modeling and Simulation 10:2, 306-341 (2012).
  • H. S. Bhat and N. Kumar, Spectral Solution of Delayed Random Walks, Physical Review E - Rapid Communications, Accepted (2012).
  • H. S. Bhat and N. Kumar, Options Pricing Under a Normal Mixture Distribution Derived from the Markov Tree Model, European Journal of Operational Research, 223(3), 762-774 (2012).
  • P. Gonzalez-Rodriguez, D. Alvarez, A. D. Kim, and M. Moscoso, "Combining diffuse optical tomography and spectroscopy to detect and characterize lesions in two-layered tissues," Journal of the Optical Society of America A 29, 450-456 (2012).
  • O. Lehtikangas, T. Tarvainen, and A. D. Kim, "Modeling boundary measurements of scattered light using the corrected diffusion approximation," Biomedical Optics Express 3, 552-571 (2012).
  • S. B. Rohde and A. D. Kim, "Modeling the diffuse reflectance due to a narrow beam incident on a turbid medium," Journal of the Optical Society of America A 29, 231-238 (2012).
  • M. Raginsky, R. Willett, C. Horn, J. Silva, and  R. F. Marcia, "Sequential anomaly detection in the presence of noise and limited feedback," IEEE Transactions on Information Theory, 58:8,  pp. 5544-5562 (2012).
  • Z. Harmany, R. F. Marcia, and R. M. Willett, "This is SPIRAL-TAP: Sparse Poisson intensity reconstruction algorithms -- theory and practice," IEEE Transactions in Image Processing, 21:3, pp. 1084-1096 (2012).
  • S. Senay and R. F. Marcia, "Dimensionality reduction and recovery for hyperspectral images using discrete prolate spheroidal sequences," Proceedings of 2012 IASTED International Conference on Signal and Image Processing, Honolulu, HI (2012).
  • J. Erway and R. F. Marcia, "Limited-memory BFGS systems with diagonal updates," Linear Algebra and its Applications, 437:1, pp. 333-344 (2012).
  • J. Erway and R. F. Marcia, "Solving limited-memory BFGS systems with generalized diagonal updates," Proceedings of 2012 International Conference of Applied and Engineering Mathematics, London, UK (2012).
  • D. Jones, R. Schlick, and R. F. Marcia, "Compressive video recovery with upper and lower bound constraints," Proceedings of 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, Kyoto, Japan (2012).

2011

  • A. D. Kim and M. Moscoso, "Diffusion of polarized light," SIAM Multiscale Modeling and Simulation 9, 1624-1645 (2011).
  • D. Şahin, B. Ilan, and D. F. Kelley, "Monte-Carlo simulations of light propagation in luminescent solar concentrators based on semiconductor nanoparticles," Journal of Applied Physics, 110:033108, 2011.
  • H. S. Bhat and B. Osting, "Two-dimensional inductor-capacitor lattice synthesis," IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, accepted (2011).
  • H. S. Bhat and B. Osting, "Kirchhoff's laws as a finite volume method for a planar Maxwell system," IEEE Transactions on Antennas and Propagation, accepted (2011).
  • Z. Harmany, R. F. Marcia, and R. M. Willett, "This is SPIRAL-TAP: Sparse Poisson intensity reconstruction algorithms -- theory and practice," IEEE Transactions in Image Processing, accepted (2011).
  • R. Willett, R. F. Marcia, and J. Nichols, "Compressive sensing for practical optical imaging systems: Tutorial," Optical Engineering, accepted (2011).
  • M. Raginsky, S. Jafarpour, Z. Harmany, R. F. Marcia, R. Willett, and R. Calderbank, "Performance bounds for expander-based compressed sensing in Poisson noise," IEEE Transactions in Signal Processing, accepted (2011).
  • Z. Harmany, A. Oh, R. F. Marcia and R. Willett, "Motion-adaptive compressive coded apertures," Proceedings of SPIE , Vol. 8165 (2011).
  • H. S. Bhat and D. Zaelit, "Predicting private company exits using qualitative data," Proceedings of the 15th Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD2011), Shenzhen, China, May 2011.
  • B. Ilan, Y. Sivan, and G. Fibich, "A quantitative approach to soliton instability," Optics Letters, 36(3):397-399, 2011.
  • A. D. Kim, "Correcting the diffusion approximation at the boundary," Journal of the Optical Society of America A, 28, 1007-1015, 2011.
  • R. F. Marcia, Z. T. Harmany, and R. M. Willett, "Compressive Optical Imaging: Algorithms and Architectures," Optical and Digital Image Processing: Fundamentals and Applications, Eds. Gabriel Cristobal, Peter Schelkens, and Hugo Thienpont. Wiley, ISBN: 978-3-527-40956-3, April, 2011.
  • J. Hernandez, Z. T. Harmany, D. Thompson, and R. F. Marcia, "Bounded gradient projection methods for sparse signal recovery," Proceedings of 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, Prague, Czech Republic, May, 2011.
  • D. Thompson, Z. T. Harmany, and R. F. Marcia, "Sparse video recovery using linearly constrained gradient projection," Proceedings of 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, Prague, Czech Republic, May, 2011.
  • J. Erway and R. F. Marcia, "A backward stability analysis of diagonal pivoting methods for solving unsymmetric tridiagonal systems without interchanges," Numerical Linear Algebra with Applications, 18:1, pp. 41-54.

2010

  • M. Tokman and J. Loffeld, "Efficient design of exponential-Krylov integrators for large scale computing," Proceedings of the 10th International Conference on Computational Science, Procedia Computer Science, 1(1), pp. 229-237, 2010.
  • R. Chatelin, P. Poncet and M. Tokman, "Computational aspects of mucus propulsion by cilated epithelium," Proceedings of the 2nd European Conference on Microfluidics, Toulouse, France, 2010.
  • M. Long, M. Khine and A. D. Kim, "Scattering of light by molecules over a rough surface," Journal of the Optical Society of America A 27, 1002-1011 (2010).
  • H. S. Bhat and N. Kumar, "Markov tree options pricing," Proceedings of the SIAM Conference on Mathematics in Industry (MI '09), San Francisco, CA, Oct. 2009, pp. 162-173, 2010.
  • H. S. Bhat, W. Lee, G. N. Lilis, and E. Afshari, "Steady-state perturbative theory for nonlinear circuits," Journal of Physics A: Mathematical and Theoretical, 43, 205101, 2010.
  • G. N. Lilis, J. Park, W. Lee, G. Li, H. S. Bhat, and E. Afshari, "Harmonic generation using nonlinear LC lattices," IEEE Transactions on Microwave Theory and Technique, 58 (7), pp. 1713-1723, 2010.
  • H. S. Bhat and B. Osting, "Discrete diffraction in two-dimensional transmission line metamaterials," Microwave and Optical Technology Letters, 52 (3), pp. 721-725, 2010.
  • B. Ilan and M. I. Weinstein, "Band-edge solitons, nonlinear Schrödinger / Gross-Pitaevskii equations and effective media," SIAM Multiscale Modeling & Simulation 8(4):1055-1101, 2010
  • M. J. Ablowitz, N. Antar, İ. Bakırtaş, and B. Ilan, "Band-gap boundaries and fundamental solitons in complex two-dimensional nonlinear lattices," Physical Review A 80:033834, 2010.
  • J. Erway, R. F. Marcia, and J. Tyson, "Generalized diagonal pivoting methods for tridiagonal systems without interchanges," IAENG International Journal of Applied Mathematics, 40:4, pp. 269-275, 2010.
  • Z. Harmany, D. Thompson, R. Willett, and R. F. Marcia, "Gradient projection for linearly constrained convex optimization in sparse signal recovery," Proceedings of 2010 IEEE International Conference on Image Processing, Hong Kong, China, September, 2010.
  • R. Willett, Z. Harmany, and R. F. Marcia, "Poisson image reconstruction with total variation regularization," Proceedings of 2010 IEEE International Conference on Image Processing, Hong Kong, China, September, 2010.
  • M. Raginsky, R. WIllett, Z. Harmany, and R. F. Marcia, "Compressed sensing performance bounds under Poisson noise," IEEE Transactions on Signal Processing, 58(8), pp. 3990-4002, 2010.
  • J. Erway, R. F. Marcia, and J. Tyson, "On solving unsymmetric tridiagonal systems without interchanges," Proceedings of 2010 International Conference of Applied and Engineering Mathematics, London, UK, June, 2010.
  • Z. Harmany, R. F. Marcia, and R. Willett, "Sparsity-regularized photon-limited imaging," Proceedings of 2010 IEEE International Symposium on Biomedical Imaging, Rotterdam, The Netherlands, May, 2010.
  • R. F. Marcia, Z. Harmany, and R. Willett, "Compressive coded apertures for high-resolution imaging," Proceedings of 2010 SPIE Photonics Europe, Brussels, Belgium, May, 2010.
  • Z. Harmany, R. F. Marcia, and R. Willett, "SPIRAL out of convexity: Sparsity-regularized algorithms for photon-limited imaging," Proceedings of 2010 IS&T/SPIE Electronic Imaging: Computational Imaging VIII, San Jose, CA.

2009

  • F. Blanchette and Y. Lei, “Energy considerations for multiphase fluids with variable density and surface tension,”  SIAM Review, 51(2), 423–431, May 2009.
  • P. Gonzalez-Rodriguez and A. D. Kim, "Comparison of light scattering models for diffuse optical tomography," Optics Express 17, 8756-8774, 2009 [Also cited in The Virtual Journal for Biomedical Optics 2: 7, 2009].
  • F. Blanchette, “Flow lines and mixing within drops in microcapillaries,” Physical Review E, 80(6), 066316, June, 2009.
  • J. Clark, P. Gonzalez-Rodriguez and A. D. Kim, "Using polarization to find a source in a turbid medium," Journal of the Optical Society of America A 26, 1129-1138, 2009 [Also cited in The Virtual Journal for Biomedical Optics 2: 7, 2009].
  • F. Blanchette, L. Messio and J.W.M. Bush, “The influence of surface tension gradients on drop coalescence,” Physics of Fluids, 21(7), 072107, July 2009, .
  • P. Gonzalez-Rodriguez and A. D. Kim, "Reflectance optical tomography in epithelial tissues," Inverse Problems 25, 015001, 2009.
  • M. A. Hoefer and B. Ilan, "Theory of two-dimensional oblique dispersive shock waves in supersonic flow of a superfluid," Physical Review A - Rapid Communications 80:061601(R), 2009 [Also appeared in Virtual Journal of Atomic Quantum Fluids 1(6), December 2009].
  • F. Blanchette and W. W. Zhang, “Force Balance at the Transition from Selective Withdrawal to Viscous Entrainment,” Physical Review Letters, 102, 144501, April, 2009.
  • K. A. Mitchell and B. Ilan, "Nonlinear enhancement of the fractal structure in the escape dynamics of Bose-Einstein condensates," Physical Review A 80:043406, 2009 [Also appeared in Virtual Journal of Atomic Quantum Fluids 1(5), November 2009].
  • H. S. Bhat and B. Osting, "Diffraction on the two-dimensional square lattice." SIAM Journal on Applied Mathematics, 70 (5), pp. 1389-1406, 2009.
  • H. S. Bhat and B. Osting, "The zone boundary mode in periodic nonlinear electrical lattices," Physica D, 238, pp. 1216-1228, 2009.
  • H. S. Bhat and R. C. Fetecau, "On a regularization of the compressible Euler equations for an isothermal gas," Journal of Mathematical Analysis and Applications, 358 (1), pp. 168-181, 2009.
  • H. S. Bhat and R. C. Fetecau, "The Riemann problem for the Leray-Burgers equation," Journal of Differential Equations, 246 (10), pp. 3957-3979, 2009.
  • Z. Harmany, R. F. Marcia, and R. Willett, "Sparse Poisson intensity reconstruction algorithms," Proceedings of 2009 IEEE Workshop on Statistical Signal Processing, Cardiff, Wales, UK.
  • F. Blanchette and T.P. Bigioni, “Dynamics of drop coalescence at fluid interfaces,” Journal of Fluid Mechanics, 620, 333–352, February, 2009.
  • M. Raginsky, R. F. Marcia, J. Silva, and R. Willett, "Sequential probability assignment via online convex programming using exponential families," Proceedings of 2009 IEEE International Symposium on Information Theory, Seoul, South Korea.