Misha
Elena Kilmer
Current Position
Professor,
Department of Mathematics, Tufts University
Adjunct Professor,
Computer Science Department , Tufts University
Office Hours:
Fall 2007 - Monday 12-1:15, Tues. 2:30-3:30
Courses, Fall 2007:
Math/Comp 128 and Math 250
Check out the new
Schlumberger-Tufts Computational and Applied Math Seminar Series
Ph.D. in Applied
Mathematics,
University of Maryland at College Park,
Dec. 1997
MA in Mathematics,
Wake
Forest University, Winston-Salem, NC, May 1994
BS in Mathematics,
Wake
Forest University, Winston-Salem, NC, May 1992
Research Interests
Numerical Linear Algebra, Numerical
Analysis, Discrete Ill-Posed Problems
Research Related Information
My CV (updated 02/2007)
Students and Research
Current:
- Malena Espanol, PhD candidate
- Stacey Ecott, CS major and CUSP scholar
- Emily Reid, Math major and CUSP scholar
Previous:
- Kerry Thornton, B.S. 2007
- Natalie Velasco, B.S. 2006
- Marco Enriquez, B.S. 2005
- David Kelley, undergraduate RA
- Keith McClung, M.A. 2003
- Alethea Barbaro, B.S. 2003
- Daniel Keesing ,
B.S. 2004
- Laura Dev, undergraduate RA
PUBLICATIONS (Updated Oct. 2006):
Journal/Magazine/News Publications:
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Misha E. Kilmer, Per Christian Hansen and Malena Espanol, A Projection-based
Approach to General Form Tikhonov Regularization ,
SISC, in press, Sept. 2006.
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W. S. Hoge, M. E. Kilmer, S. J. Haker, D. H. Brooks, W. E. Kyriakos, Fast Regularized
Reconstruction of Non-Uniformly Subsampled Parallel MRI Data,
peer-reviewed International Symposium on
Biomedical Imaging conference paper, accepted Jan. 2006.
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Per Christian Hansen, Misha E. Kilmer and Rikke Kjeldsen, Exploiting Residual Information in the Parameter
Choice for Discrete Ill-Posed Problems , BIT, Vol 46, pp. 41-59, 2006. See also Addendum containing corrections, Fall 2006.
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Misha E. Kilmer and Eric de Sturler,
Recycling Subspace Information for Diffuse Optical Tomography,
SIAM J. Sci. Comput., Vol. 27, No. 6, pp. 2140-2166, 2006.
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James Nagy and Misha E. Kilmer,
Kronecker Product Approximation for Three-Dimensional Imaging Applications,
IEEE Trans. Image Proc., Vol. 15, No. 3, Mar. 2006.
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Ang Li, Greg Boverman, Yiheng Zhang, Dana Brooks, Quan Zhang, Elizabeth Hillman, Misha Kilmer, Eric Miller,
David Boas,
An Optimal Linear Inverse Solution Given Multiple Priors in Diffuse Optical Tomography,
Applied Optics, 2005
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Misha Kilmer and Carla Dee Martin, Decomposing a Tensor ,
SIAM News, Vol. 37, No. 9, Nov. 2004.
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Misha E. Kilmer, Eric L. Miller, Alethea Barbaro, David Boas,
3D Shape-Based Imaging
for Diffuse Optical Tomography, Applied Optics, Vol. 42, pp. 3129-3144, 2003.
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A. Li, E. Miller, M. Kilmer, T. Brukilacchio, T. Chaves, J. Stott, Q. Zhang, T. Wu, M. Chorlton, R. Moore, D. Kopans, D. Boas, Tomographic Optical Breast Imaging
Guided by 3-D Mammography, Applied Optics, 2003.
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Eric Miller, Margaret Cheney, Misha E. Kilmer, Gregory Boverman, Ang Li,
David Boas, Feature-Enhancing
Inverse Methods for Limited-View Tomographic Imaging Problems ,
Subsurface Sensing Technologies and Applications, Vol. 4, No. 4, pp. 327-353, 2003.
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Murat Belge, Misha E. Kilmer and Eric L. Miller,
Efficient
Selection of Multiple Regularization Parameters in a Generalized L-curve
Framework, Inverse Problems, Vol. 18, No. 4, 2002, pp. 1161-1183.
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D. Boas, D. Brooks, E. Miller, C. DiMarzio, M. Kilmer, R. Gaudette, Q. Zhang, Imaging the Body with Diffuse Optical Tomography , IEEE Signal Processing Magazine, Vol. 18, No. 6, pp. 57-75, 2001.
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Misha E. Kilmer and Dianne
P. O'Leary
, Choosing
Regularization Parameters in Iterative Methods for Ill-Posed Problems,
, SIMAX, 2001.
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Misha E. Kilmer, Eric Miller and Carey Rappaport,
QMR-based
Projection Techniques for the Solution of Non-Hermitian Systems with Multiple
Right Hand Sides, SISC, 2001.
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Murat Belge, Misha Kilmer and Eric Miller,
Wavelet
Domain Image Restoration with Adaptive Edge-Preserving Regularization,
IEEE Transactions on Image Processing, Vol. 9, No. 4, pp. 598-608, 2000.
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Carey Rappaport, Misha E. Kilmer and Eric Miller,
Accuracy
Considerations in Using the PML ABC with FDFD Helmholtz Equation Computation,
Focused Issue of the Int'l J. of Num. Modeling, Vol. 13, 2000, pp. 471-482.
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Misha E. Kilmer, Eric L. Miller, David Boas, Dana Brooks,
A Shape-Based
Reconstruction Technique for DPDW Data, Invited paper,
Optics Express, vol 7, No. 13, Dec. 2000.
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Eric L. Miller, Misha E. Kilmer, Carey Rappaport:
A New Shape-Based Method for Object Localization and Characterization from
Scattered Field Data, IEEE Transactions on Geoscience
and Remote Sensing, vol 38, No. 4, 2000.
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Rick Gaudette, Dana Brooks, Charles DiMarzio, Misha Kilmer, Eric Miller, Tom Gaudette, David Boas, A Comparison Studey of Linear Reconstruction Techniques for Diffuse
Optical Tomographic Imaging of the Absorption Coefficient , Physics in Medicine and Biology,
Vol. 45, No. 4, pp. 1051-1070, 2000.
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Misha E. Kilmer and G. W. Stewart,
Iterative
Regularization and MINRES, SIAM J. Matrix Anal. Appl., Vol. 21, pp 613-628, 1999.
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Misha E. Kilmer,
Cauchy-like Preconditioners for 2-Dimensional Ill-Posed Problems ,
winner of 1997 SIAM Student Paper Prize, SIAM J. Matrix Anal. Appl., Vol. 20, No. 3, pp. 777-799,
1999.
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Misha E. Kilmer and Dianne P. O'Leary,
Pivoted Cauchy-like Preconditioners for Regularized Solution of Ill-Posed Problems ,
SIAM J. Sci. Comput., Vol. 21, pp 88-110, 1999.
Conference Proceedings:
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Misha Kilmer, Eric Miller, Marco Enriquez, David Boas,
Cortical Constraint Method for Diffuse Optical Brain Imaging ,
SPIE Proceedings of the Annual Meeting,
Vol. 5559, Aug. 2004, pp. 381-391.
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M. Horn, C. Cao, M. Kilmer, L. Baise, S. Hassoun, D. Souvaine,
Model for Mentoring and Retaining Engineering Students from Underrepresented Groups,
Proceedings of the ASEE New England Section 2004 Annual Conference, 2004.
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Carey M. Rappaport, Qiuzhao Dong, Emmett Bishop, A. Morgenthaler, M. Kilmer,
Finite Difference Frequency Domain (FDFD) Modeling of Two Dimensional TE Wave Propagation ,
URSI Symposium Conference Proceedings, 2004.
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Misha E. Kilmer, Eric L. Miller, David A. Boas, Dana
H. Brooks, Charles A. DiMarzio, and Richard J.
Gaudette,
Direct Object Localization and Characterization from Diffuse Photon Density
Wave Data, Jan. 1999 Proceedings of the SPIE Photonics West Conference.
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Richard J. Gaudette, David A. Boas, Dana H. Brooks,
Charles A. DiMarzio, Misha E. Kilmer, Eric L. Miller, Comparison
of Linear Reconstruction Techniques for 3D DPDW Imaging of Absoption Coefficient,
Jan. 1999 Proceedings of the SPIE Photonics West Conference.
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C. Rappaport, S. Wu, M. Kilmer, E. Miller,
Distinguishing Shape Details of Buried Non-metallic Mine-like Objects with GPR ,
SPIE Aerosense Conference, Orlando, FL, pp. 1419-1428, Apr. 1999.
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Misha E. Kilmer, Regularization of Ill-Posed Problems
Using (Symmetric) Cauchy-like Preconditioners, Proceedings of the SPIE
Annual Meeting '98, Advanced Signal Processing Algorithms, Architectures,
and Implementations VIII, 1998
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Murat Belge, Misha Kilmer and Eric Miller,
Simultaneous
Selection of Multiple Regularization Parameters by means of the L-hypersurface
Method, Proceedings of the SPIE Annual Meeting '98, Bayesian Inference
for Inverse Problems.
Selected Technical Reports:
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Per Christian Hansen, Misha E. Kilmer and Rikke Kjeldsen,
Exploiting Residual Information in the Regularization of Discrete Ill-Posed Problems ,
IMM-Technical Report Number 2002-18, Technical University of Denmark, Lyngby, Denmark, 2002.
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Misha E. Kilmer, Symmetric
Cauchy-like Preconditioners for the Regularized Solution of 1-D Ill-Posed
Problems, University of Maryland Computer Science Dept. Report CS-TR-3851.
Unpublished Manuscripts (Available on Request):
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Misha E. Kilmer, Eric Miller, Carey Rappaport,
Preconditioners for Structured Matrix
Problems Arising in Subsurface Object Detection , 1999.
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Misha E. Kilmer,
On the Regularization Properties of Krylov Subspace Methods , 2001.
Other:
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Misha E. Kilmer, Regularization of Ill-Posed Problems,
Ph.D. dissertation, University of Maryland, College Park, Dec. 1998.
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Misha E. Kilmer (nee Clark), An Iterative Reconstruction
Technique for Positron Emission Tomography , Master's thesis, Mathematics
and Computer Science Department, Wake Forest University, April 1994.
Misc. Links
AWM (Assoc. for Women in Math)
homepage
SIAM (Society for Industrial and Applied Math)
homepage
SIAM Activity Group
on Linear Algebra
AMS (American Math Society)
homepage
Tufts Computer Science, Engineering and Math Scholars (CSEMS) Program