Results 31 to 40 of about 735,278 (318)
Contractions: Nijenhuis and Saletan tensors for general algebraic structures [PDF]
Journal of Physics A: Mathematical and General, 2001 Generalizations in many directions of the contraction procedure for Lie algebras introduced by E.J.Saletan are proposed. Products of arbitrary nature, not necessarily Lie brackets, are considered on sections of finite-dimensional vector bundles.
José F. Cariñena +2 more
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Efficient Parallel Sparse Tensor Contraction
IEEE Transactions on Parallel and Distributed SystemsWe investigate the performance of algorithms for sparse tensor-sparse tensor multiplication (SpGETT). This operation, also called sparse tensor contraction, is a higher order analogue of the sparse matrix-sparse matrix multiplication (SpGEMM) operation.
Somesh Singh, Bora Uçar
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Polyhedral Specification and Code Generation of Sparse Tensor Contraction with Co-iteration [PDF]
ACM Transactions on Architecture and Code Optimization (TACO), 2022 This article presents a code generator for sparse tensor contraction computations. It leverages a mathematical representation of loop nest computations in the sparse polyhedral framework (SPF), which extends the polyhedral model to support non-affine ...
Tuowen Zhao +4 more
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Open Quantum System Dynamics from Infinite Tensor Network Contraction. [PDF]
Physical Review Letters, 2023 Approaching the long-time dynamics of non-Markovian open quantum systems presents a challenging task if the bath is strongly coupled. Recent proposals address this problem through a representation of the so-called process tensor in terms of a tensor ...
Valentin Link, Hong-Hao Tu, W. Strunz
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Stack Operation of Tensor Networks
Frontiers in Physics, 2022 The tensor network, as a factorization of tensors, aims at performing the operations that are common for normal tensors, such as addition, contraction, and stacking.
Tianning Zhang +4 more
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Frontiers in Applied Mathematics and Statistics, 2022 We present an overview of the key ideas and skills necessary to begin implementing tensor network methods numerically, which is intended to facilitate the practical application of tensor network methods for researchers that are already versed with their ...
Glen Evenbly
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Athena: high-performance sparse tensor contraction sequence on heterogeneous memory
International Conference on Supercomputing, 2021 Sparse tensor contraction sequence has been widely employed in many fields, such as chemistry and physics. However, how to efficiently implement the sequence faces multiple challenges, such as redundant computations and memory operations, massive memory ...
Jiawen Liu +3 more
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Constructing Optimal Contraction Trees for Tensor Network Quantum Circuit Simulation [PDF]
IEEE Conference on High Performance Extreme Computing, 2022 One of the key problems in tensor network based quantum circuit simulation is the construction of a contraction tree which minimizes the cost of the simulation, where the cost can be expressed in the number of operations as a proxy for the simulation ...
Cameron Ibrahim +4 more
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Tensor Network Contractions for #SAT [PDF]
Journal of Statistical Physics, 2015 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. 2-SAT, which is in P), determining the number of solutions is #P-hard.
Jacob Turner +3 more
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