Selected Online Publications
Papers: (Available as .pdf unless otherwise specified)
Functional analytic regularization in machine learning (with Y. Fan and L. Raphael), preprint, 2016
Unique Recovery from
Edge Information (with B. Allen), Sampling Theory and Applications 2015,
Real-time simulation of large open quantum spin systems driven by dissipation (with D. Banerjee, F.-J. Jiang and U.-J. Wiese) Phys. Rev. B (Rapid Communications) 90, 241104(R) Published 2 December. DOI: 10.1103/PhysRevB.90.241104, 2014.
The Marr conjecture in one dimension and uniqueness of wavelet transforms ArXiv:1401.0542v2 [math.FA] 2014.
On relating interpolatory wavelets to interpolatory scaling functions in multiresolution analyses (with Z. Zhang), Circuits, Systems, and Signal Processing, DOI 10.1007/s00034-014-9937-8, Dec. 4, 2014.
Ensemble machine methods for analysis of transcription factor and DNA interactions (with Y. Fan and C. DeLisi), preprint 2014.
methods for analysis of transcriptional networks
(with Y. Fan and C. DeLisi), Springer
Handbook of Bioinformatics,
Current trends in genome-wide association studies (with T. Yang and C. DeLisi), in Data Mining for Systems Biology, Hiroshi Mamitsuka and Minoru Kanehisa, eds., Springer-Verlag, 2012.
Pathway-based classification of cancer subtypes (with S. Kim and C. DeLisi), Biology Direct (2012), 7:21 doi:10.1186/1745-6150-7-21; Published: 3 July 2012.
On some integrated approaches to inference (with L. Plaskota), technical report (2011).
normalization for quadratic discriminant analysis and classifying cancer
Top scoring pairs for feature selection in machine learning with applications to cancer outcome prediction (with P. Shi, S. Ray and Q. Zhu), BMC Bioinformatics, 12:375 (2011). DOI:10.1186/1471-2105-12-375
Combinations of newly confirmed glioma-associated loci link regions on chromosomes 1 and 9 to increased disease risk (with T. Yang and C. DeLisi), BMC Medical Genomics 4:63 doi:10.1186/1755-8794-4-63 (2011).
Regularization techniques for machine learning on graphs and networks with biological applications (with Y. Fan, S. Kim, L. Raphael, and C. DeLisi, Communications in Mathematical Analysis 8 (3; Special Volume in Honor of Peter Lax) (2010), 136-145.
expression using biological networks (with Y. Fan, S. Kim, and C. DeLisi), Machine Learning and Applications 9, IEEE,
A new phylogenetic diversity measure generalizing the Shannon index (with B. Allen and Y. Bar Yam, American Naturalist 174 (2009),236-243.
Regulatory analysis for exploring human disease progression (with D. Holloway and C. DeLisi), Biology Direct 3:24, 2008. Algorithm available here.
Building transcription factor classifiers and discovering relevant biological features, (with D. Holloway and C. DeLisi), BiologyDirect 3:22, 30 May 2008. Algorithm available here.
SVMMotif: A machine learning motif algorithm (with Y. Fan, D.Holloway and C. DeLisi), International Conference on Machine Learning and Applications 6, 573-580, IEEE, Washington, 2007. Algorithm available here.
Learning methods for DNA binding in computational biology (with D. Holloway, et al.) International Joint Conference on Neural Networks, 20, IEEE, Los Alamitos 1605, 2007.
Machine learning for regulatory analysis and transcription factor target prediction in yeast (with D. Holloway and C. DeLisi), Systems and Synthetic Biology 1 (2006), 25-46.
Approximating functions in reproducing kernel Hilbert spaces via statistical learning theory (with L. Raphael), in Splines and Wavelets, G. Chen and M.J. Lai, eds, (2006) 270-286
Machine learning methods for transcription data integration (with D. Holloway and C.DeLisi),IBM Journal of Research and Development 50(2006), 631-644 (Abstract only - Journal link is here)
Information-based nonlinear approximation: An average case setting (with L. Plaskota), J. Complexity 21 (2005),211-228.
Extending Girosi's approximation estimates for functions in Sobolev spaces via statistical learning theory (with L. Raphael and D. Williams), J. Analysis and Applications 3 No. 2 (2005), 67-90.
representations of prior knowledge in machine learning (with L, Plaskota and A. Przybyszewski), Artificial Intelligence and Applications,
M.H. Hamza, Ed.,
Integrating genomic data to predict transcription factor binding (with D. Holloway and C. DeLisi), Genome Informatics 16 (2005), 83-94.
Machine learning and statistical MAP
methods (with L. Plaskota
and A. Przybyszewski), Intelligent Information
Complexity of predictive neural networks (with
L. Plaskota) Proceedings of International
Conference on Complexity,
Y. Bar-Yam, Ed.,
Sup-norm convergence rates of
wavelet expansions in Besov Spaces (with L. Raphael), in Applicable Mathematics (2002), 193-203.
Pointwise wavelet convergence in Besov and uniformly local Sobolev Spaces (with L. Raphael), J. Contemporary Math. Analysis 36 (2002), 51-68.
Complexity of neural network approximation with
limited information: a worst-case
approach (with L. Plaskota), J. Complexity 17
Convergence rates of multiscale and wavelet expansions (with L. Raphael), in Wavelet Transforms and Time-FrequencySignal Analysis, American Mathematical Society
CBMS Volume, L.Debnath, Ed. (2001), 37-65.
A characterization of wavelet convergence
in Sobolev spaces (with
L. Raphael), Applicable Analysis 78 (2001), 271-324.
Complexity of regularization RBF networks (with
L. Plaskota), in Proceedings of International
Joint Congress on Neural Networks,INNS,
Review of Complexity and Information, (by J.F. Traub and A.G. Werschulz), Bull. Amer. Math Soc. 37 (2000), 199-204.
Information complexity of neural networks (with L.
Plaskota), Neural Networks 13 (2000),365-376.
Oscillation criteria for delay
equations (with Y.Sficas
and I. P. Stavroulakis), Proc. Am. Math. Soc.
128 (2000), 2989-2997.
Neural networks, radial basis
functions, and complexity (with L. Plaskota), Proceedings of Bialowieza
Conference on Statistical Physics, 1997, 122-145.
Exact smoothing properties of Schrodinger semigroups (with A. Gulisashvili),
American J. Math. 118 (1996), 1215-1248
Pointwise convergence of
wavelet expansions (with S. Kelly and L. Raphael), Bull. Amer. Math.
Soc. 30 (1994), 87-94
Local convergence of wavelet
expansions (with S. Kelly and L. Raphael), J.
Functional Anal. 126 (1994), 102-138
Logo - ps file format