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Swift: High-Performance Sparse Tensor Contraction for Scientific Applications
arXiv.orgIn scientific fields such as quantum computing, physics, chemistry, and machine learning, high dimensional data are typically represented using sparse tensors.
Andrew Ensinger +4 more
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IEEE Transactions on Parallel and Distributed Systems
Many fields of scientific simulation, such as chemistry and condensed matter physics, are increasingly eschewing dense tensor contraction in favor of sparse tensor contraction.
Guoqing Xiao +4 more
semanticscholar +1 more source
Many fields of scientific simulation, such as chemistry and condensed matter physics, are increasingly eschewing dense tensor contraction in favor of sparse tensor contraction.
Guoqing Xiao +4 more
semanticscholar +1 more source
Generating Efficient Tensor Contractions for GPUs
2015 44th International Conference on Parallel Processing, 2015Many scientific and numerical applications, including quantum chemistry modeling and fluid dynamics simulation, require tensor product and tensor contraction evaluation. Tensor computations are characterized by arrays with numerous dimensions, inherent parallelism, moderate data reuse and many degrees of freedom in the order in which to perform the ...
Thomas Nelson +6 more
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Positive Bias Makes Tensor-Network Contraction Tractable
Symposium on the Theory of ComputingTensor network contraction is a powerful computational tool in quantum many-body physics, quantum information and quantum chemistry. The complexity of contracting a tensor network is thought to mainly depend on its entanglement properties, as reflected ...
Jiaqing Jiang +3 more
semanticscholar +1 more source
Dynamic contraction of tensor with quantum algorithm
2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2017In the paper, contraction of a dynamic vector (i.e., both the number and the individuals of elements in the vector are non-deterministic) in a tensor is programmed. It accumulates complete N-combinations of one element of every M-set by recursion algorithm for object-oriented programming.
Yinsheng Zhang +2 more
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Optimal contraction order of multiple tensors
2013 21st Signal Processing and Communications Applications Conference (SIU), 2013Computational problems involving big data require application of multiway analysis tools on modern parallel infrastructure. Tensor contraction is one the fundamental operations used in multiway analysis. Dynamic programming formulation presented in this work searches for the least memory using contraction order in multiple tensor contraction operation.
C. Kavaklioglu, A. Taylan Cemgil
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Nonnegative contraction/averaging tensor factorization
10th Symposium on Neural Network Applications in Electrical Engineering, 2010Nonnegative tensor factorization (NTF) is a recent multiway (multilinear) extension of negative matrix factorization (NMF), where nonnegativity constraints are mainly imposed on CANDECOMP/PARAFAC model and recently, also, on Tucker model. Nonnegative tensor factorization algorithms have many potential applications, including multiway clustering, multi ...
Marko V. Jankovic, Branimir Reljin
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CAST: Contraction Algorithm for Symmetric Tensors
2014 43rd International Conference on Parallel Processing, 2014Tensor contractions represent the most compute- intensive core kernels in abinitio computational quantum chemistry and nuclear physics. Symmetries in these tensor contractions make them difficult to load balance and scale to large distributed systems. In this paper, we develop an efficient and scalable algorithm to contract symmetric tensors.
Samyam Rajbhandari +5 more
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Effects of tensor tympani muscle contraction on the middle ear and markers of a contracted muscle
The Laryngoscope, 2012AbstractObjectives/Hypothesis:Many otologic disorders have been attributed to dysfunction of the tensor tympani muscle, including tinnitus, otalgia, Meniere's disease and sensorineural hearing loss. The objective of this study was to determine adequate stimuli for tensor tympani contraction in humans and determine markers of the hypercontracted state ...
Manohar, Bance +5 more
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Assessment of calf muscle contraction by diffusion tensor imaging
European Radiology, 2008The goal of this study was to assess the changes of water diffusion during contraction and elongation of calf muscles using diffusion tensor (DT) MRI in normal volunteers. Twenty volunteers (mean age, 29+/-4 years) underwent DT MRI examination of the right calf.
J F, Deux +9 more
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