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MemoryConstrained Data Locality Optimizations for Tensor Contractions
 in 16th International Workshop on Languages and Compilers for Parallel Computing (LCPC’03
, 2004
"... Abstract. The accurate modeling of the electronic structure of atoms and molecules involves computationally intensive tensor contractions over large multidimensional arrays. Efficient computation of these contractions usually requires the generation of temporary intermediate arrays. These intermedia ..."
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Cited by 8 (5 self)
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Abstract. The accurate modeling of the electronic structure of atoms and molecules involves computationally intensive tensor contractions over large multidimensional arrays. Efficient computation of these contractions usually requires the generation of temporary intermediate arrays
Abstract Global Communication Optimization for Tensor Contraction Expressions under Memory Constraints ∗
"... The accurate modeling of the electronic structure of atoms and molecules involves computationally intensive tensor contractions involving large multidimensional arrays. The efficient computation of complex tensor contractions usually requires the generation of temporary intermediate arrays. These i ..."
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The accurate modeling of the electronic structure of atoms and molecules involves computationally intensive tensor contractions involving large multidimensional arrays. The efficient computation of complex tensor contractions usually requires the generation of temporary intermediate arrays
Digital step edges from zero crossing of second directional derivatives
 Pattern Analysis and Machine Intelligence, IEEE Transactions on
, 1984
"... AbstractWe use the facet model to accomplish step edge detection. The essence of the facet model is that any analysis made on the basis of the pixel values in some neighborhood has its final authoritative interpretation relative to the underlying gray tone intensity surface of which the neighborho ..."
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Cited by 200 (5 self)
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at the pixel's center. Thus, to determine whether or not a pixel should be marked as a step edge pixel, its underlying gray tone intensity surface must be estimated on the basis of the pixels in its neighborhood. For this, we use a functional form consisting of a linear combination of the tensor products
MemoryConstrained Data Locality Optimization
 in 16th International Workshop on Languages and Compilers for Parallel Computing (LCPC’03
, 2004
"... The accurate modeling of the electronic structure of atoms and molecules involves computationally intensive tensor contractions over large multidimensional arrays. Efficient computation of these contractions usually requires the generation of temporary intermediate arrays. These intermediates cou ..."
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The accurate modeling of the electronic structure of atoms and molecules involves computationally intensive tensor contractions over large multidimensional arrays. Efficient computation of these contractions usually requires the generation of temporary intermediate arrays. These intermediates
The arithmetic complexity of tensor contractions
, 2013
"... We investigate the algebraic complexity of tensor calulus. We consider a generalization of iterated matrix product to tensors and show that the resulting formulas exactly capture VP, the class of polynomial families efficiently computable by arithmetic circuits. This gives a natural and robust chara ..."
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Cited by 1 (0 self)
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We investigate the algebraic complexity of tensor calulus. We consider a generalization of iterated matrix product to tensors and show that the resulting formulas exactly capture VP, the class of polynomial families efficiently computable by arithmetic circuits. This gives a natural and robust
TENSOR NETWORK CONTRACTIONS FOR #SAT
"... Abstract. The computational cost of counting the number of solutions satisfying a boolean formula, which is a problem instance of #SAT, has proven subtle to quantify. Even when finding individual satisfying solutions is computationally easy (e.g. 2SAT, which is in P), determining the number of so ..."
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of solutions is #Phard. Recently, computational methods simulating quantum systems experienced advancements due to the development of tensor network algorithms and associated quantum physicsinspired techniques. By these methods, we give an algorithm using an axiomatic tensor contraction language for n
Linear Pushbroom Cameras
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 1994
"... Modelling th# push broom sensors commonly used in satellite imagery is quite di#cult and computationally intensive due to th# complicated motion ofth# orbiting satellite with respect to th# rotating earth# In addition, th# math#46 tical model is quite complex, involving orbital dynamics, andh#(0k is ..."
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Cited by 169 (6 self)
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Modelling th# push broom sensors commonly used in satellite imagery is quite di#cult and computationally intensive due to th# complicated motion ofth# orbiting satellite with respect to th# rotating earth# In addition, th# math#46 tical model is quite complex, involving orbital dynamics, andh#(0k
selection for tensor contraction expressions
"... performance modeldriven data layout optimization and library call ..."
Firms, contracts and trade structure
 QUARTERLY JOURNAL OF ECONOMICS
, 2003
"... Roughly onethird of world trade is intrafirm trade. This paper starts by unveiling two systematic patterns in the volume of intrafirm trade. In a panel of industries, the share of intrafirm imports in total U.S. imports is significantly higher, the higher the capital intensity of the exporting indu ..."
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Cited by 86 (1 self)
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Roughly onethird of world trade is intrafirm trade. This paper starts by unveiling two systematic patterns in the volume of intrafirm trade. In a panel of industries, the share of intrafirm imports in total U.S. imports is significantly higher, the higher the capital intensity of the exporting
Qball imaging
 Magnetic Resonance in Medicine
, 2004
"... Magnetic resonance diffusion tensor imaging (DTI) provides a powerful tool for mapping neural histoarchitecture in vivo. However, DTI can only resolve a single fiber orientation within each imaging voxel due to the constraints of the tensor model. For example, DTI cannot resolve fibers crossing, be ..."
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Cited by 153 (0 self)
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Magnetic resonance diffusion tensor imaging (DTI) provides a powerful tool for mapping neural histoarchitecture in vivo. However, DTI can only resolve a single fiber orientation within each imaging voxel due to the constraints of the tensor model. For example, DTI cannot resolve fibers crossing
Results 1  10
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