# 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.

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university in the 21st century, with a

mission of research, teaching and service.

University of California, Merced

5200 N. Lake Road

Merced, CA 95343

T: 209-228-4400