Results 61 to 70 of about 735,278 (318)
Contraction and decomposition matrices for vacuum diagrams [PDF]
, 2001 Tensor reduction of vacuum diagrams uses contraction and decomposition matrices. We present general recurrence relations for the calculation of those matrices and an explicit formula for the 3-loop decomposition matrix and its determinant.Comment: 10 ...
Knecht, K., Veschelde, H.
core +2 more sources
Optimization problems in contracted tensor networks [PDF]
Computing and Visualization in Science, 2011 We discuss the calculus of variations in tensor representations with a special focus on tensor networks and apply it to functionals of practical interest. The survey provides all necessary ingredients for applying minimization methods in a general setting.
Reinhold Schneider +3 more
openaire +1 more source
A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time [PDF]
, 2016 A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and energy density
De, Uday Chand +2 more
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Simulating thermal density operators with cluster expansions and tensor networks
SciPost Physics, 2023 We provide an efficient approximation for the exponential of a local operator in quantum spin systems using tensor-network representations of a cluster expansion. We benchmark this cluster tensor network operator (cluster TNO) for one-dimensional systems,
Bram Vanhecke, David Devoogdt, Frank Verstraete, Laurens Vanderstraeten
doaj +1 more source
Evaluation of Urinary Sphincter Function by Rapid Magnetic Resonance Diffusion Tensor Imaging [PDF]
International Neurourology Journal, 2020 Purpose This study aimed to assess the feasibility of a rapid diffusion tensor imaging (DTI) for evaluation of the female urinary sphincter function based on differentiation between rest and muscle contraction. Methods Magnetic resonance imaging (MRI) of
Florian A. Schmid +6 more
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High-performance Tensor Contractions for GPUs
Procedia Computer Science, 2016 We present a computational framework for high-performance tensor contractions on GPUs. High-performance is difficult to obtain using existing libraries, especially for many independent contractions where each contraction is very small, e.g., sub-vector/warp in size.
Abdelfattah, Ahmad +10 more
openaire +4 more sources
Tensor Regression Networks [PDF]
, 2020 Convolutional neural networks typically consist of many convolutional layers followed by one or more fully connected layers. While convolutional layers map between high-order activation tensors, the fully connected layers operate on flattened activation ...
Anandkumar, Anima +5 more
core +1 more source
X-symbols for non-Abelian symmetries in tensor networks
Physical Review Research, 2020 The full exploitation of non-Abelian symmetries in tensor network states (TNSs) derived from a given lattice Hamiltonian is attractive in various aspects.
Andreas Weichselbaum
doaj +1 more source
Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell [PDF]
Quantum, 2020 Tensor network states provide an efficient class of states that faithfully capture strongly correlated quantum models and systems in classical statistical mechanics.
A. Nietner +4 more
doaj +1 more source
Validating quantum-supremacy experiments with exact and fast tensor network contraction
arXiv.org, 2022 ,
Yong Liu +12 more
semanticscholar +1 more source