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195views Hardware» more  TVCG 2012»
8 years 5 months ago
Restricted Trivariate Polycube Splines for Volumetric Data Modeling
—This paper presents a volumetric modeling framework to construct a novel spline scheme called restricted trivariate polycube splines (RTP-splines). The RTP-spline aims to genera...
Kexiang Wang, Xin Li, Bo Li 0014, Huanhuan Xu, Hon...
9 years 9 months ago
Algebras of Higher Operads as Enriched Categories
Abstract. One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product. In this paper we begin t...
Michael Batanin, Mark Weber
97views more  SIAMMAX 2010»
9 years 9 months ago
Krylov Subspace Methods for Linear Systems with Tensor Product Structure
The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a line...
Daniel Kressner, Christine Tobler
102views more  JC 2011»
9 years 9 months ago
Tractability of tensor product problems in the average case setting
It has been an open problem to derive a necessary and sufficient condition for a linear tensor product problem S = {Sd} in the average case setting to be weakly tractable but not ...
Anargyros Papageorgiou, Iasonas Petras
198views Education» more  CORR 2011»
9 years 9 months ago
Concrete Sentence Spaces for Compositional Distributional Models of Meaning
Coecke, Sadrzadeh, and Clark [3] developed a compositional model of meaning for distributional semantics, in which each word in a sentence has a meaning vector and the distributio...
Edward Grefenstette, Mehrnoosh Sadrzadeh, Stephen ...
110views more  ARSCOM 2008»
10 years 1 months ago
Total Perfect Codes in Tensor Products of Graphs
A total perfect code in a graph is a subset of the graph's vertices with the property that each vertex in the graph is adjacent to exactly one vertex in the subset. We prove t...
Ghidewon Abay-Asmerom, Richard Hammack, Dewey T. T...
118views more  PAAPP 2000»
10 years 2 months ago
Processor-time-optimal systolic arrays
Minimizing the amount of time and number of processors needed to perform an application reduces the application's fabrication cost and operation costs. A directed acyclic gra...
Peter R. Cappello, Ömer Egecioglu, Chris J. S...
87views more  CAGD 2002»
10 years 2 months ago
Uniform hyperbolic polynomial B-spline curves
This paper presents a new kind of uniform splines, called hyperbolic polynomial B-splines, generated over the space = span{sinht,cosht,tk-3,tk-4,...,t,1} in which k is an arbitra...
Yonggang Lü, Guozhao Wang, Xunnian Yang
85views more  JISE 2006»
10 years 2 months ago
A Programming Methodology for Designing Block Recursive Algorithms
In this paper, we use the tensor product notation as the framework of a programming methodology for designing block recursive algorithms. We first express a computational problem ...
Min-Hsuan Fan, Chua-Huang Huang, Yeh-Ching Chung, ...
145views ECommerce» more  EC 2007»
10 years 2 months ago
Covariant Genetic Dynamics
We present a covariant form for the dynamics of a canonical GA of arbitrary cardinality, showing how each genetic operator can be uniquely represented by a mathematical object - a...
Chryssomalis Chryssomalakos, Christopher R. Stephe...