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» A bound on the projective dimension of three cubics
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JSC
2010
63views more  JSC 2010»
12 years 11 months ago
A bound on the projective dimension of three cubics
We show that given any polynomial ring R over a field and any ideal J R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the...
Bahman Engheta
COCOON
2007
Springer
13 years 11 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan
TSMC
2010
12 years 11 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
ICSE
2008
IEEE-ACM
14 years 5 months ago
Time-bounded adaptation for automotive system software
Software is increasingly deployed in vehicles as demand for new functionality increases and cheaper and more powerful hardware becomes available. Likewise, emerging wireless commu...
Aline Senart, Douglas C. Schmidt, Serena Fritsch, ...
COMPGEOM
2010
ACM
13 years 9 months ago
The complexity of the normal surface solution space
Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
Benjamin A. Burton