Bijan Afsari, Ph.D.
Assistance
Research Scientist
Email:
bijan at cis dot jhu dot edu
The general theme
of my research is statistics and computation on non-Euclidean spaces, e.g.,
Riemannian manifolds, Lie groups, general metric space, etc. Some applications
include: computer vision, medical imaging, control theory, and structural biology.
Some Publications:
- Bijan Afsari, ``A class of
recursive-iterative means on Riemannian manifolds,'' in preparation.
- (New) B. Afsari and R. Vidal,
`` Group
action induced distances on spaces of linear dynamical systems,��
submitted.
- (New) N. D. Jimenez, B. Afsari,
and R. Vidal. ``Fast Jacobi-type algorithms for computing distances
between linear dynamical systems,�� submitted.
- (New) B. Afsari, R. Chaudhry, A. Ravichandran,
and R. Vidal, ``Group action induced distances for averaging and
clustering linear dynamical systems with applications to the analysis of
dynamic visual scenes,�� CVPR 2012[.pdf]
- (New) B. Afsari, R. Tron, R. Vidal, ``On the convergence of gradient descent for finding the Riemannian
center of mass,�� (to appear in the SIAM Journal on Control and
Optimization)[arXiv],
revised version [.pdf].
- Bijan Afsari, ``Means and averaging on Riemannian manifolds,'' Ph.D.
dissertation, University of Maryland, College Park, November 2009
(available upon request).
- Bijan Afsari, ``Riemannian
$L^{p}$ center of mass: Existence, uniqueness, and convexity,''� Proc. Amer. Math. Soc. 139 (2011), 655-673.
- Bijan Afsari, ``A
bias-variance dilemma in joint diagonalization and blind source
separation,'' in Proceedings of IEEE CAMSAP 2009, Dec. 2009, pp. 324-327.[.pdf]
- Bijan Afsari, ``What can make joint diagonalization difficult?'' Proc.
of ICASSP 2007, April 2007, pp. III-1377-III-1380.[.pdf]
- Bijan Afsari, `` Sensitivity
analysis for the problem of matrix joint diagonalization'',
SIMAX Volume 30, Issue 3, 2008, pp. 1148-1171.
- Bijan Afsari, `` Simple LU
and QR based non-orthogonal matrix joint diagonalization'',
Proceedings of ICA2006, Springer LNCS series, 2006, pp 1-7.[.pdf]
- Bijan Afsari, P.S. Krishnaprasad,`` A novel
non-orthogonal joint diagonalization cost
function for ICA'', Institute for Systems Research Tech. Report,
University of Maryland, 2005
- Bijan Afsari, P.S.Krishnaprasad, ``Some
gradient based joint diagonalization methods for
ICA'', Proceedings of the Fifth International Conference on
Independent Component Analysis and Blind Source Separation, Springer LNCS
series, 2004, pp. 437-444.
Some Links Related to my Research:
�
Geometry of
Spaces of Linear Dynamical Systems
�
Bi-annual
conference on Geometric Science of Information
�
On joint diagonalization
algorithms