Alfred Hero - Interests in Statistical Inference and Learning
My interests in statistical inference and learning fall into four different
areas: development of estimator/detector independent lower bounds on
mean-square-error and other performance criteria; analyzing tradeoffs between
different error measures, e.g. tradeoffs between bias and variance and
tradeoffs between miss-classification and miss-detection probability;
implementation and convergence analysis of iterative maximimum likelihood
algorithms such as the EM algorithm, CFAR detection, and graph theoretic
approaches to non-parametric estimation and learning. Some of my recent
publications in these areas are given below.
Archival Articles
H. Park, P. H. Bland, A. O. Hero, and C. R. Meyer,
"Target selection method in atlas construction using
multidimensional scaling", (.pdf) , submitted to
IEEE Trans. on Medical Imaging, Oct. 2005.
D. Justice and A. O. Hero, "Estimation of message source and
destination from link intercepts", (.pdf) , submitted to
IEEE Trans. on Information Forensics and Security, April 2005.
M.-F. Shih and A. O. Hero, "Hierarchical inference of unicast
network topologies based on end-to-end measurements", submitted to IEEE Journ on Signal Processing, May 2005. (.pdf)
D. Blatt and A. O. Hero, "Energy based sensor network source
localization via projection onto convex sets (POCS)",
submitted to IEEE Trans. on Signal processing, Feb. 2005. (.pdf) . In revision.
D. Blatt and A. O. Hero, "On tests for global maximum of the
log-likelihood function," , IEEE Trans. on Info Theory , (.pdf) . Submitted
Jan. 2005.
D. Justice and A.O. Hero "A linear reformulation of the graph
edit distance for graph recognition," (.pdf) , IEEE
Trans. on Pattern Analysis and Machine Intelligence (PAMI), submitted Jan. 2005.
S. Ahn, J.A. Fessler, D. Blatt, and A. Hero, "Convergent
incremental optimization transfer algorithms: application to
tomography", (.pdf) , (revision)
submitted to IEEE Trans. on Medical Imaging, Oct. 2004.
D. Blatt, A. O. Hero and H. Gauchman, "A convergent incremental
gradient algorithm with a constant stepsize", (.pdf) , submitted to SIAM
Journal on Optimization, Sept. 2004. In revision.
M. Ting, A. O. Hero, D. Rugar, C.-Y. Yip and J. Fessler, "Near optimal signal detection for finite state Markov signals with application to magnetic resonance force microscopy," IEEE Trans. on Sifnal Processing, (.pdf),
To appear 2005.
J. Costa, N. Patwari and A. O. Hero, "Distributed multidimensional
scaling with adaptive weighting for node localization in sensor networks", (.pdf) , ACM Journal on
Networking. To appear 2005.
D. Zhu, A.O. Hero, H. Cheng, R. Khanna and A. Swaroop, "Network
constrained clustering for gene microarray data,"
(.html) , Bioinformatics, Sept. 2005.
.
D. Zhu, A.O. Hero, Z.S. Qin, A. Swaroop, "High throughput
screening of co-expressed gene pairs with controlled False Discovery
Rate (FDR) and Minimum Acceptable Strength (MAS)," (.pdf) , Journal of
Computational Biology, Vol. 12, No. 7, 1027-1043, Sept. 2005.
Supplemental tables:
(.pdf)
.
N. Patwari, A. O. Hero, J. Ash, R. L. Moses, S. Kyperountas,
N. S. Correal, "Locating the nodes: cooperative localization in
wireless sensor networks",
(.pdf) IEEE Signal Processing Magazine ,vol. 22, no. 4,
pp 54-69, July 2005. Link to data presented in this article on
Wireless Sensor Network Localization Measurement Repository (.html)
"Min-Capacity of a Multiple-Antenna Wireless Channel in a Static
Rician Fading Environment," M. Godavarti, A. O. Hero, and
T. Marzetta, IEEE Trans. on Wireless Communications . (.pdf) , vol. 4, no. 4,
pp. 1715-1723, July 2005.
H. Neemuchwala, A. O. Hero, and P.L. Carson, "Image matching
using alpha-entropy measures and entropic graphs," (.pdf) , Signal
Processing (Special Issue on Content-based Visual Information
Retrieval), vol 85, pp. 277-296, 2005.
P.-J. Chung, J. B\"{o}hme, and A. O. Hero
"Tracking of multiple
moving sources using recursive EM algorithm," .pdf ,
EURASIP Journ. of Applied Signal Processing (JASP),
Vol. 1, pp. 50-60, 2005.
C. Vignat, A. O. Hero and J. Costa, "About closedness by convolution of
the Tsallis maximizers,"
(.pdf),
Physica A, Vol. 340, Issue 1-3, pp. 147-152, Sept. 2004.
M. Godavarti and A. O. Hero, "Partial update LMS algorithms," (.pdf) ,
IEEE Trans. on SP, Vol. 53, No. 7, pp. 2382- 2399, 2005 (.pdf) IEEE Explore version . This is a
condensation of material in the original two papers (containing many more
details) submitted to the IEEE SP Trans. in Oct. 2001: Paper 1 (.pdf) , Paper 2 (.pdf) ,
M. Godavarti and A. O. Hero, "Convergence of differential entropies," , IEEE Trans. on Info Theory , Vol 50, No. 1, pp. 171-176,
Jan. 2004. (.pdf) . IEEE Explore reprint
(.pdf)
M. Ting, A. O. Hero, D. Rugar, C.-Y. Yip, and J. Fessler, "Electron
spin detection in the frequency domain under the interrupted Oscillating
Cantilever-driven Adiabatic Reversal (iOSCAR) protocol," arXiv mansucript
quant-ph/0307042, (arXiv),
Dec. 2003.
J. Costa and A. O. Hero, "Geodesic entropic graphs
for dimension and entropy estimation in manifold learning," (.pdf) ,
IEEE Trans. on Signal Process., Vol. 52, No. 8, pp. 2210-2221, Aug. 2004. . IEEE Explore (.pdf)
A. O. Hero, J. Costa and B. Ma, "Convergence rates of minimal
graphs with random vertices," (.pdf) , submitted
to IEEE Trans. on Inform. Theory. If you previously
downloaded or otherwise obtained the original version of this paper,
submitted to IT in Aug 2001, it contained errors that have been
corrected in this revision. A more complete version of this paper was
published as Technical Report entitled, "Asymptotic relations between
minimal graphs and alpha-entropy," (.pdf), Technical
Report CSPL-334 Communications and Signal Processing
Laboratory, The University of Michigan, 48109-2122, Mar. 2003.
A. O. Hero, B. Ma, O. Michel and J. Gorman, "Applications of entropic
spanning graphs," (.pdf) , in IEEE
Signal Proc. Magazine (Special Issue on Mathematics in Imaging), Vol 19,
No. 5, pp 85-95, Sept. 2002. IEEE Explore reprint
(.pdf) .
O. Michel, A. Hero, P. Flandrin, 2000 : "Graphes de Représentations
Minimaux, Entropies et Divergences : Applications," Traitement du Signal,
Vol. 17, No. 4, pp. 287-297. (.pdf)
S. Chretien and A. O. Hero, "Kullback Proximal Algorithms for Maximum
Likelihood Estimation," (.pdf)
, IEEE Trans. on Inform. Theory, Vol
IT-46, No. 5, pp. 1800-1810, Aug. 2000. IEEE Explore reprint
(.pdf) .
A. O. Hero, "Sur un probleme d'estimation pour des processus de Poisson
composes et filtres," (In French - English title, ``On a problem of
estimation for filtered composed Poisson processes") (.ps.Z) , (.ps) , or (.pdf) Traitement du Signal,
Vol. 15, No. 6, pp. 493-502, May 1999.
"Tree structured non-linear signal modeling and prediction," (.pdf) , O. Michel, A. O . Hero and
A.-E. Badel, IEEE Trans. on Signal Processing, Vol. SP-47, No. 11, pp.
3027-3041, Nov. 1999. IEEE Explore reprint (.pdf) .
A. O. Hero and O. Michel, "Asymptotic theory of greedy approximations to
minimal $K$-point random graphs,"
(.ps.Z) , (.ps) , or (.pdf) , IEEE Trans. on Info
Theory , Vol. IT-45, pp. 1921-1939, Sept. 1999. IEEE Explore reprint
(.pdf) . The Bounded Variation condition on the set of densities is
non-standard and is overly strong. Analogous bounds to those in this paper
hold under the much weaker assumption that the density lies in a Holder
space.
A O Hero, R Piramuthu, S R Titus, J A Fessler,
Minimax emission computed tomography using high resolution anatomical side information and B-spline models.
IEEE Tr. Info. Theory,
45(3):920-38, Apr. 1999. IEEE Explore reprint
(.pdf) .
Hero, A.; Messer, H.; Goldberg, J.; Thomson, D.J.; Amin, M.G.; Giannakis, G.;
Swami, A.; Tugnait, J.K.; Nehorai, A.; Swindlehurst, A.L.; Cardoso, J.-F.;
Lang Tong; Krolik, J., "Highlights of statistical signal and array processing,"
Signal Processing Magazine, IEEE , Volume: 15 Issue: 5, pp. 21-64,
Sept. 1998. IEEE Explore reprint
(.pdf) .
A O Hero, M Usman, A C Sauve, J A Fessler,
Recursive algorithms for computing the Cramer-Rao bound.
IEEE Tr. Sig. Proc.,
45(3):803-7, Mar. 1997.
(IEEE Explore version)
A. O. Hero, J. A. Fessler and M. Usman, "Exploring estimator
bias-variance tradeoffs using the uniform CR bound" (Sec. II.C typos
corrected) (.pdf) , IEEE
Transactions on Signal Processing, Vol. 44, No. 8, pp. 2026-2042,
Aug. 1996. (received 1998 Best Paper Award, IEEE Signal Processing
Society).
(IEEE
Explore version).
Errata (Explore version): p. 2026 first
paragraph of Introduction should read "...variance \sigma^2_\theta=
E_\theta[(\hat{t} - E_\theta[\hat{t}])^2];" p. 2030 top
of second column, item labeled 4): should read "Compute the point
(\delta, B(\theta, \delta)) via B(\theta, \delta) = \lambda^2 * ybar'
* Fy * ybar;" on p. 2031 Eq (24), the term "+\nabla b_\theta \nabla^T
b_\theta" should be "+\nabla m_\theta \nabla^T m_\theta." Thanks to
Z. Chen at U. Alberta for pointing out this last typo.
J A Fessler, A O Hero,
Penalized maximum-likelihood image reconstruction using space-alternating generalized EM algorithms.
IEEE Tr. Im. Proc.,
4(10):1417-29, Oct. 1995.
(IEEE Explore version)
Errata:
The powers of 2 in the triangle inequalities on p.\ 1427 should not be there.
Condition 2 should also include the requirement that
\nabla^{10}\phi be continuous in \emph{both} arguments, i.e. in R_S \times R^p
There should not be any 1/2 in the definition of J on p.\ 1426.
The plus before the final quadratic form in (38) should be a minus.
A O Hero, J A Fessler,
A recursive algorithm for computing Cramer-Rao-type bounds on estimator
covariance. (IEEE Explore)
IEEE Tr. Info. Theory,
40(4):1205-10, Jul. 1994.
J A Fessler, A O Hero,
Space-alternating generalized expectation-maximization algorithm.
IEEE Tr. Sig. Proc., 42(10):2664-77, Oct. 1994. (IEEE Explore
version)
Errata: The equation immediately below eqn. (18) is
unnecessary. As written it suggests we foolishly replace some of the pixel
estimates with "old" values, when of course we do not. The newer version
that appears in our 1995 T-IP paper
is correct, and supersedes the T-SP version. The proof of Theorem 2
incorrectly states that the eigenvalues of the Gauss-Siedel matrix are real.
They can be complex, so the proof only applies to cases where the maximum
magnitude eigenvalue is real.
B. Baygun and A.O. Hero
"Optimal simultaneous detection and estimation under a false alarm
constraint,"
IEEE Trans. on Information Theory, Vol. 41, No. 3,
pp. 688-703, May 1995. IEEE Explore reprint
(.pdf) .
A.O. Hero and J.A. Fessler, "Convergence in norm for EM-type algorithms," ,
(.ps.Z) ,
(.ps) , (.pdf) , Statistica Sinica
, Vol 5, No. 1, pp. 41-54, Jan. 1995.
A O Hero and J A Fessler.
A recursive algorithm for computing Cramer-Rao type bounds on estimator covariance.
IEEE Trans. Information Theory,
Vol IT-40, No. 4, pp. 1205-1210, July 1994.
J.D. Gorman and A.O. Hero
"Lower bounds for parametric estimation with constraints,"
IEEE Trans. on Information Theory , Vol. IT-36, pp.
1285-1301, Nov. 1990. IEEE Explore reprint
.pdf .
A.O. Hero
"Lower bounds on estimator performance for energy invariant parameters
of multi-dimensional Poisson processes," IEEE Trans. on
Information Theory , Vol. IT-35, pp. 843-858, July 1989. IEEE Explore
reprint
.pdf .
A.O. Hero and S.C. Schwartz
"Level crossing representations, Poisson asymptotics and applications
to passive arrays," Stochastic Processes in
Underwater Acoustics,
C. Baker, Ed., pp. 95-121, Springer-Verlag, New York,
1986.
Book Chapters
J. Costa and A. O. Hero,
"Learning intrinsic dimension and entropy of shapes," in
Statistics and analysis of shapes, Eds. H. Krim and T. Yezzi, Birkhauser, to appear. (.pdf)
"Detection and Classification," A. O. Hero ,
CRC Handbook on Signal Processing, 1997.
Technical Reports
C.-Y. Yip, A. O. Hero, and D. Rugar, "Detection of Bistatic Electron
Spin Signals in Magnetic Resonance Force Microscopy (MRFM)," arXiv
mansucript quant-ph/0307042, (arXiv), June 2003.
C. Hory and
A. O. Hero, "Sequential Probability Ratio Test for the detection of a single
electron spin in the OSCAR setup," arXiv mansucript quant-ph/0402181, (arXiv),
Feb. 2004.
J. Costa and A. O. Hero, "Manifold learning with geodesic minimal
spanning trees," arXiv manuscript cs.CV/0307038 (arXiv) July 2003.
A. O. Hero, J. Costa and B. Ma, "Asymptotic relations between minimal
graphs and alpha-entropy,"
(.pdf), Technical
Report CSPL-334
Communications and Signal Processing Laboratory, The University of
Michigan, 48109-2122, Mar. 2003.
A. O. Hero and B. Ma and O. Michel and J. D. Gorman, "Alpha-Divergence
for Classification, Indexing and Retrieval (Revised)," (.pdf), Technical Report CSPL-328
Communications and Signal Processing Laboratory, The University of
Michigan, 48109-2122, June 2002. The previous versions " (.pdf), (June 2002) and (.pdf), (May 2001) stated
convergence rates for minimal graphs that were not correct.
H. S. Kim and A. O. Hero,
"Comparison of GLR and invariance methods sapplied to adaptive target
detection in structured clutter,"
(.ps.gz) , CSPL-323 Communications and
Signal Processing Laboratory, The University of Michigan, 48109-2122,
Nov. 2000. A subset of this work appears in IEEE Trans on IP.
S. Chretien and A. O. Hero
"Generalized Proximal Point Algorithms and Bundle Implementations," , (.ps.Z) , (.ps.Z) , (.pdf) ,
CSPL Technical Report CSPL-313, Aug. 1998.
A. O. Hero,
M. Usman, Anne Sauve, and J. A. Fessler
"Recursive algorithms for computing the Cramer-Rao bound," (.ps) CSPL Technical Report,
Nov. 1996. A subset of this work appeared in IEEE Trans. SP, March 1997.
Conference Proceedings
R. Raghuram, R. Raich and A.O. Hero, "Single-stage waveform selection for adaptive resource constrained state estimation," 2006 IEEE Intl. Conf. on Acoustics, Speech, and Signal Processing, Toulouse France, submitted
Oct. 2005. (.pdf)
A. Rao, A.O. Hero, D.J. States and J.D. Engel, "Inference of biologically relevant gene influence networks using the directed information criterion," 2006 IEEE Intl. Conf. on Acoustics, Speech, and Signal Processing, Toulouse France, submitted
Oct. 2005. (.pdf)
R. Raich and A.O. Hero, "On dimensionality reduction for classification and its application," 2006 IEEE Intl. Conf. on Acoustics, Speech, and Signal Processing, Toulouse France, submitted
Oct. 2005. (.pdf)
S. Grikschat, J. Costa and A.O. Hero, "Dual rooted-diffusions for clustering and classification on
manifolds," 2006 IEEE Intl. Conf. on Acoustics, Speech, and Signal Processing, Toulouse France, submitted
Oct. 2005. (.pdf)
M. Ting and A.O. Hero, "Detection of a random walk signal in the regime of low signal to
noise ratio and long observation time," 2006 IEEE Intl. Conf. on Acoustics, Speech, and Signal Processing, Toulouse France, submitted
Oct. 2005. (.pdf)
P-J Chung, J.F. Boehme, C.F. Mecklenbraeucker and A.O. Hero, "Multiple Signal
Detection Using the Benjamini-Hochberg Procedure," IEEE Workshop on
Computational advances in multi-sensor adaptive processing (CAMSAP),
Dec. 2005. (.pdf)
D. Blatt and A. O. Hero, "From weighted classification to
policy search", to appear in Neural Information Processing Symposium (NIPS) Dec. 2005. Submission (.pdf)
N. Patwari and A.O. Hero, "Manifold learning visualization of network
traffic data," SIGCOMM 2005 Workshop on Mining Network Data,
Philadelphia, Aug. 2005.
(.pdf)
D. Blatt and A.O. Hero, "APOCS: a convergent source localization
algorithm for sensor networks," IEEE Workshop on
Statistical Signal Processing (SSP), Bordeaux, July 2005. (.pdf)
P-J Chung, J.F. Boehme, C.F. Mecklenbraeucker and A.O. Hero, "On signal detection
using the Benjamini--Hochberg procedure," IEEE Workshop on Statistical
Signal Processing (SSP), Bordeaux, July 2005. (.pdf)
J.A. Costa, A. Girotra and A.O. Hero, "Estimating Local Intrinsic
Dimension with k-Nearest Neighbor Graphs," IEEE Workshop
on Statistical Signal Processing (SSP), Bordeaux, July 2005.
(.pdf)
D. Zhu, A. Hero, "Identifying differentially expressed genes from
probe level intensities in longitudinal Affymetrix microarray
experiments," IEEE Workshop on Statistical Signal
Processing (SSP), Bordeaux, July 2005. (.pdf)
R. Rangarajan, R. Raich, and A.O. Hero, "Sequential Design of
Experiments for a Rayleigh Inverse Scattering Problem," submitted to
IEEE Workshop on Statistical Signal Processing (SSP), Bordeaux, July
2005. (.pdf)
H. Park, P.H Bland, A.O. Hero III, and C.R. Meyer, "Least Biased
Target Selection in Probabilistic Atlas Construction," submitted to
Conference on Medical Image Computing and Computer Assisted
Intervention (MICCAI), 2005.
D. Zhu, A.O. Hero, H. Cheng, M. Akimoto, R. Khanna and
A. Swaroop, "Network constrained clustering for gene microarray data,"
Annual Meeting of International Society for Computational
Biology, Detroit, 2005.
A. Rao, A.O. Hero, J.D. Engel, D.J. States, and D. Zhu, "Inferring
Time-varying Network Topologies from Gene Expression Data," Proc. of
IEEE Workshop on Genomic Signal Processing and Statistics (GENSIPS) ,
Newport, May 2005. (.pdf)
D. Zhu and A. O. Hero, "Unsupervised posterior analysis of
signaling pathways from gene microarray data," Proc. of
IEEE Workshop on Genomic Signal Processing and Statistics (GENSIPS) ,
Newport, May 2005. (.pdf)
J. Costa and A. O. Hero, "Classification constrained
dimensionality reduction," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
D. Zhu and A. O. Hero, "Gene co-expression network discovery with
controlled statistical and biological significance," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
D. Zhu and A. O. Hero, "Network constrained clustering for gene microarray data," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
R. Rangangaran, R. Raich and A. O. Hero, "Optimal experimental design
for an inverse scattering problem," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
A. O. Hero and D. Blatt, "Sensor network source localization via
projection onto convex sets (POCS)," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
D. Blatt and A. O. Hero, "Tests for global maximum of the likelihood
function," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
J. Costa, N. Patwari and A. O. Hero, "Achieving high-accuracy
distributed localization in sensor networks," (.pdf),
Proc. of ICASSP , Philadelphia, March, 2005.
E. Oubel, H. Neemuchwala, A. O. Hero, L. Boisrobert,
M. Laclaustra, A. Frangi "Assessment of artery dilation by using image
registration based on spatial features," (.pdf),
Medical Imaging 2005: Image Processing
, Eds. J.M Fitzpatrick and J.M. Reinhardt, Proceedings of SPIE vol. 5747, 2005.
H. Neemuchwala and A. O. Hero, "Image registration in high dimensional feature space," (.pdf),
Proc. of SPIE Conference on Electronic Imaging , San Jose, Jan. 2005.
S. Ahn, J.A. Fessler, D. Blatt, and A. Hero, "Incremental
optimization transfer algorithms: application to transmission tomography", (.pdf) , IEEE Conf on Medical
Imaging, Nov. 2004.
J. Costa and A. O. Hero, "Learning intrinsic dimension and intrinsic
entropy of high dimensional datasets," (.pdf),
Proc. of EUSIPCO , Vienna, Sept, 2004.
M. Ting, A. O. Hero, and J. Fessler, ",Two state Markov modelling and
detection of single electron spin signals" (.pdf),
Proc. of EUSIPCO , Vienna, Sept, 2004.
P.-J. Chung, J.F. Bohme, A.O. Hero, and C.F. Mecklenbrauker,
"Signal detection using a multiple hypothesis test," (.pdf), In Proc. Third IEEE Sensor
Multichannel Signal Processing Workshop, Barcelona, Spain, 2004.
D. Blatt and A. O. Hero, "Distributed maximum likelihood estimation in sensor
networks," (.pdf), Proc. of IEEE Int. Conf. on Acoust. Speech and
Sig. Proc, Montreal, May, 2004.
J. Costa and A. O. Hero, "Manifold learning using Euclidean K-nearest neighbor graphs," (.pdf),
Proc. of IEEE Int. Conf. on Acoust. Speech and Sig. Proc, Montreal,
May, 2004.
J. Costa and A. O. Hero, "Entropic graphs for Manifold Learning,"
(.pdf) , Proc. of IEEE
Asilomar Conf. on Sig, Syst., and Comm.,, Pacific Grove CA, Nov. 2003
C.-Y. Yip, A. O. Hero, D. Rugar, and J. Fessler, "Detection of Bistatic
Electron Spin Signals in Magnetic Resonance Force Microscopy (MRFM)," , Proc. of IEEE
Asilomar Conf. on Sig, Syst., and Comm.,, Pacific Grove CA, Nov. 2003
D. Blatt and A. O. Hero "Asymptotic Distribution of Log-Likelihood Maximization Based Algorithms and Applications", (.pdf)
in Proc. Energy Minimization Methods in Computer
Vision and Pattern Recognition , Lisbon, July 2003
J. Costa, A. O. Hero and C. Vignat, "On Solutions to Multivariate Maximum
$\alpha$-entropy Problems", (.pdf) in Proc. Energy Minimization Methods in Computer Vision and
Pattern Recognition, Lisbon, July 2003
T. Kragh and A. O. Hero "Image resolution-variance tradeoffs using the
uniform Cram\`{e}r-Rao bound", (.pdf)
in Proc. XI
European Signal Processing Conference, Toulouse France, Sept 2002.
H.S. Kim and A. O. Hero "Comparison of GLR and maximal invariant
detectors under structured clutter covariance", (.ps.Z) , (.ps) , or (.pdf) Proc. of IEEE
Int. Conf. on Acoust. Speech and Sig. Proc., Salt Lake City UT May 2001.
H. S. Kim and A. O. Hero,
"When is a maximal invariant hypothesis test better than the GLRT?", (.ps.z) , (.ps) , or (.pdf) ,
Proc. of IEEE Asilomar Conference on Sig,
Syst., and Comm.,, Pacific Grove CA, Oct. 2000.
H.S. Kim and A. O. Hero
"Adaptive target detection across a clutter boundary: GLRT and maximally
invariant detectors", (.ps) , 2000 IEEE International
Conf. on Image Processing,, Vancouver, Oct. 2000.
A. O. Hero and O. Michel, "Renyi information divergence via measure
transformations on minimal spanning trees," (.ps.Z) , (.ps) or (.pdf) Proceedings of the
IEEE 2000 International Symposium on Information Theory , Sorrento,
Italy.
A. O. Hero,
"On the problem of granulometry for a degraded Boolean image model", (.ps.Z) , (.ps) or (.pdf)
1999 IEEE International Conf. on Image Processing,,
Kobe, Japan Oct. 1999.
A. O. Hero and O. Michel, "Estimation of R\'enyi Information Divergence
via Pruned Minimal Spanning Trees",
(.ps.Z) , (.ps) , or (.pdf) , 1999 IEEE Workshop on
Higher Order Statistics, Caesaria ISRAEL, 1999.
A. O. Hero and O. Michel, "Robust Entropy Estimation Strategies Based on Edge Weighted Random
Graphs (with corrections)", (.ps.Z) ,
(.ps) ,
(.pdf)
1998 SPIE International Symposium on Optical
Science, Engineering and Instrumentation, San Diego, July. 1998.
A.O. Hero and O. Michel "Robust estimation of point process intensity
features using K-minimal spanning trees," (.ps.Z) Proceedings of IEEE
Intl. Symposium on Inform. Theory , June. 1997.
B. Baygun and A. O. Hero, "An iterative solution to the min-max
simultaneous detection and estimation problem", (.ps.Z) , (.ps) , (.pdf) , 1996 IEEE Workshop on
Statistical Signal and Array Processing, Corfu, Greece, June. 1996.
A. O. Hero and M. Usman "Achievable regions in the bias variance plane
for parametric estimation problems,"
(.ps.Z) Proceedings of the IEEE 1995 International Symposium on
Information Theory , Whistler, BC, 1995.
O. Michel and A. O. Hero, "Tree structured non-linear signal modeling and
prediction," (.ps.Z), (.ps) or (.pdf), Proceedings of
the IEEE 1995 International Conference on Acoustics, Speech and Signal
Processing , Detroit, pp. 1689-1692, 1995.
M. Usman, A.O. Hero and J. A. Fessler "Uniform CR bound: implementation
issues and applications to image reconstruction," (.ps.Z) ,
(.ps) , (.pdf) , Proceedings of
the IEEE 1994 Nuclear Science Symposium and Medical Imaging Conference ,
Norfolk, Oct. 1994.
M. Usman, A.O. Hero and J. A. Fessler,
"Bias-variance tradeoffs analysis using uniform CR bound for images"
Proceedings of the 1994 IEEE Conference on Image Processing ,
Austin, pp. 835-839, Nov. 1994.
M. Usman and A.O. Hero, "Recursive CR-bounds: algebraic and statistical
acceleration," (.ps.Z)
Proceedings of the IEEE 1994 International Conference on Acoustics,
Speech and Signal Processing, Adelaide, Australia, pp. IV.5-8, April
1994.
J A Fessler and A O Hero.
"Complete-data spaces and generalized EM algorithms"
Proc. IEEE Conf. Acoust. Speech Sig. Proc.,
vol. 4, pp. 1-4, 1993.
A O Hero, J A Fessler, and W L Rogers. "A fast recursive algorithm for
computing CR-type bounds for image reconstruction problems", (.ps.Z)
Conf. Rec. of the IEEE Nuc. Sci. Symp. Med. Im. Conf., vol. 2,
pp. 1188-1190, 1992.
B. Baygun and A.O. Hero, "Further Results on tradeoffs between
detection and estimation," Proceedings of the IEEE 1992
International Conference on Acoustics, Speech, and Signal Processing,
Vol. III, pp. 461-465, San Francisco, CA, March 1992.
J.K. Kim and A.O. Hero,
"Error intensity measures for multi-parameter tracking and passive
bearing estimation,"
Proceedings of the IEEE 1989
International Conference on Acoustics, Speech, and Signal Processing, pp.
2641-2644, Glasgow, UK, May 1989.
Prof. Alfred O. Hero III
,
Dept. of Electrical Engineering and Computer Science
The University of Michigan
1301 Beal Avenue
Ann Arbor, MI 48109-2122
Tel. (313) 763-0564
FAX: (313) 763-8041
WWW:
http://www.eecs.umich.edu/~hero/hero.html
email: