Papers by R. G. Larson on applications
of bialgebras to computation
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(with R. L. Grossman), The symbolic computation of higher-order
derivations: Symmetries of expressions and actions of group algebras,
in M. Luksic, C. Martin, and W. Shadwick, "Differential Geometry: the
interface between pure and applied mathematics," Amer. Math. Soc.,
Providence, 1987, pp. 121-131.
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(with R. L. Grossman), Hopf-algebraic structures of families of
trees, J. Algebra 126 (1989), 194-210.
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(with R. L. Grossman), Labeled trees and the algebra of
differential operators, in Graphs and Algorithms, Amer. Math. Soc.,
Contemporary Mathematics, Vol. 89, pp. 81-87.
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(with R. L. Grossman), Labeled trees and the efficient computation
of derivations, in Proceedings of the 1989 Internat. Symposium on
Symbolic and Algebraic Computation, ACM, 1989, pp. 74-80.
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(with R. L. Grossman), Solving nonlinear equations from higher
order derivations in linear stages, Advances in Math.,
82 (1990), 180-202.
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(with R. L. Grossman), Hopf algebraic structure of combinatorial
objects and differential operators, Israel J. Math. 72 (1990),
109-117.
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(with R. L. Grossman), The realization of input-output maps using
bialgebras, Forum Mathematicum 4 (1992) 109-121.
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(with R. L. Grossman), The symbolic computation of derivations
using labeled trees, J. Symbolic Computation 13 (1992), 511-523.
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(with R. L. Grossman), The symbolic computation of vector field
expressions, in Proc. of Algebraic Computing in Control '91,
G. Jacob and F. Lamnabhi-Lagarrigue eds., Springer-Verlag, Berlin,
1991, 1-10.
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(with P. L. Crouch and R. L. Grossman), Computations involving
differential operators and their actions on functions, Proc. 1991
International Symposium on Symbolic and Algebraic Computations,
ACM, 1991, 301-307.
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(with R. L. Grossman), Viewing hybrid systems as products
of control systems and automata, Proc. 31st Conf. on Decision and
Control, 1992, 2953-2955.
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(with R. L. Grossman), Some Remarks About Flows in Hybrid Systems,
in R. L. Grossman, A. Nerode, A. P. Ravn, and H. Rischel,
editors, Hybrid Systems, Lecture Notes in Computer
Science, Vol. 736, Springer-Verlag, New York, 1993,
357-365.
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(with R. L. Grossman), An algebraic approach to hybrid systems,
Theoretical Computer Science, 138 (1995), 101-112.
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(with R. L. Grossman),
Differential algebra structures on families of trees,
24 pages, Adv. in Applied Math., to appear.
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(with R. L. Grossman),
An Algebraic Approach to Data Mining: Some Examples,
Proceedings of the 2002 IEEE International Conference on Data Mining
(ICDM 2002), December 2002, Maebashi City, Japan, pp. 613-616.
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(with R. L. Grossman),
Bialgebras and Realizations,
in "Hopf Algebras -- Proceedings from the
International Conference on Hopf Algebras at DePaul University" (ed.
Jeffrey Bergen, Stefan Catoiu, William Chin), pp. 157-166.
Lecture Notes in Pure and Applied Mathematics.
2004, Marcel Dekker, Inc.
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(with R. L. Grossman)
State space realization theorems for data mining,
16 TeX pages, submitted.
Last updated February 12, 2009