Results 41 to 50 of about 751,143 (344)
EURASIP Journal on Advances in Signal Processing, 2022 The slice-wise multiplication of two tensors is required in a variety of tensor decompositions (including PARAFAC2 and PARATUCK2) and is encountered in many applications, including the analysis of multidimensional biomedical data (EEG, MEG, etc.) or ...
Kristina Naskovska +3 more
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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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Simulating Quantum Circuits Using Efficient Tensor Network Contraction Algorithms with Subexponential Upper Bound. [PDF]
Physical Review Letters, 2022 We derive a rigorous upper bound on the classical computation time of finite-ranged tensor network contractions in d≥2 dimensions. Consequently, we show that quantum circuits of single-qubit and finite-ranged two-qubit gates can be classically simulated ...
T. Wahl, Sergii Strelchuk
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Algorithms for tensor network contraction ordering
Machine Learning: Science and Technology, 2020 Abstract Contracting tensor networks is often computationally demanding. Well-designed contraction sequences can dramatically reduce the contraction cost. We explore the performance of simulated annealing and genetic algorithms, two common discrete optimization techniques, to this ordering problem.
Schindler, Frank, Jermyn, Adam S
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Journal of Chemical Physics, 2023 In this paper, we use the previously introduced Canonical Polyadic (CP)-Multiple Shift Block Inverse Iteration (MSBII) eigensolver [S. D. Kallullathil and T. Carrington, J. Chem. Phys. 155, 234105 (2021)] in conjunction with a contraction tree to compute
Sangeeth Das Kallullathil, T. Carrington
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Audiometric findings with voluntary tensor tympani contraction [PDF]
Journal of Otolaryngology - Head & Neck Surgery, 2017 Background Tensor tympani contraction may have a “signature” audiogram. This study demonstrates audiometric findings during voluntary tensor tympani contraction. Methods Five volunteers possessing the ability to voluntarily contract their tensor tympani muscles were identified and enrolled.
Brandon Wickens +2 more
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High Voltage, 2023 In order to achieve high performance for solving the ion flow field problem, an approach is proposed with the tensor‐structured finite element method (FEM) to accelerate the Newton iteration.
Qiwen Cheng, Jun Zou
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Decompositions of tensor products of contractions [PDF]
Annales Polonici Mathematici, 1988 Let G be an additive subgroup of real numbers, and \(G_+=\{t\in G:t\geq 0\}\). Let \(\{T_ 1(t)\}_{t\in G_+}\) and \(\{T_ 2(t)\}_{t\in G_+}\) be two semigroups of contractions on a Hilbert space. The author proves that the unitary part of the semigroup \(\{T_ 1(t)\otimes T_ 2(t)\}\) equals to the tensor product of the unitary parts of \(\{T_ 1(t ...
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On the Energy-Momentum Density of Gravitational Plane Waves [PDF]
, 2004 By embedding Einstein's original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle.
Bel L +13 more
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Simulating Quantum Computation by Contracting Tensor Networks [PDF]
SIAM Journal on Computing, 2008 7 ...
Markov, Igor L., Shi, Yaoyun
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