Symbolic-numeric sparse interpolation of multivariate polynomials
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Analytically tractable case of fuzzy c-means clustering
Pattern Recognition
From quotient-difference to generalized eigenvalues and sparse polynomial interpolation
Proceedings of the 2007 international workshop on Symbolic-numeric computation
A parallel method for large sparse generalized eigenvalue problems using a GridRPC system
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A new algorithm for sparse interpolation of multivariate polynomials
Theoretical Computer Science
A new transform for solving the noisy complex exponentials approximation problem
Journal of Approximation Theory
Symbolic-numeric sparse interpolation of multivariate polynomials
Journal of Symbolic Computation
Parameter estimation for exponential sums by approximate Prony method
Signal Processing
Reconstructing sparse trigonometric functions
ACM Communications in Computer Algebra
Nonlinear Approximation by Sums of Exponentials and Translates
SIAM Journal on Scientific Computing
A parallel method for large sparse generalized eigenvalue problems by OmniRPC in a grid environment
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Fast estimates of Hankel matrix condition numbers and numeric sparse interpolation
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
A black box method for solving the complex exponentials approximation problem
Digital Signal Processing
Representation of sparse Legendre expansions
Journal of Symbolic Computation
Software for weighted structured low-rank approximation
Journal of Computational and Applied Mathematics
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We derive a stable technique, based upon matrix pencils, for the reconstruction of (or approximation by) polygonal shapes from moments. We point out that this problem can be considered the dual of 2-D numerical quadrature over polygonal domains. An analysis of the sensitivity of the problem is presented along with some numerical examples illustrating the relevant points. Finally, an application to the problem of gravimetry is explored where the shape of a gravitationally anomalous region is to be recovered from measurements of its exterior gravitational field.