Results 21 to 30 of about 735,278 (318)
Effective Utilization of Tensor Symmetry in Operation Optimization of Tensor Contraction Expressions
Procedia Computer Science, 2012 AbstractThe optimization of tensor expressions with hundreds of terms is required for the development of accurate quantum chemistry models such as the coupled cluster method. In this paper, we address the effective exploitation of symmetry properties of tensors in performing algebraic transformations for minimizing operation count of tensor expressions.
Pai-Wei Lai +5 more
openalex +3 more sources
Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm [PDF]
QuantumTensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations, where each intermediate tensor ...
Linjian Ma +3 more
doaj +3 more sources
FLAASH: Flexible Accelerator Architecture for Sparse High-Order Tensor Contraction [PDF]
arXiv.orgTensors play a vital role in machine learning (ML) and often exhibit properties best explored while maintaining high-order. Efficiently performing ML computations requires taking advantage of sparsity, but generalized hardware support is challenging ...
Gabriel Kulp +2 more
openalex +2 more sources
Using Ensemble Learning to Improve Automatic Vectorization of Tensor Contraction Program
IEEE Access, 2018 Automatic vectorization is crucial for improving the performance of computationally intensive programs. Existing compilers use conservative optimization strategies for automatic vectorization, which, in many cases, lead to the loss of vectorization ...
Hui Liu, Rongcai Zhao, Kai Nie
doaj +2 more sources
Tensor Network Contractions [PDF]
, 2020 134 pages, 68 figures. In this version, the manuscript has been changed into the format of book; new sections about tensor network and quantum circuits have been ...
Ran, Shi-Ju +6 more
openaire +9 more sources
On the Decomposition of Tensors by Contraction [PDF]
Proceedings of the National Academy of Sciences, 1952 F. D. Murnaghan
openalex +5 more sources
Unifying projected entangled pair state contractions
New Journal of Physics, 2014 The approximate contraction of a tensor network of projected entangled pair states (PEPS) is a fundamental ingredient of any PEPS algorithm, required for the optimization of the tensors in ground state search or time evolution, as well as for the ...
Michael Lubasch +2 more
doaj +2 more sources
Treelike process tensor contraction for automated compression of environments [PDF]
Physical Review ResearchThe algorithm “automated compression of environments” (ACE) [M. Cygorek et al., Nat. Phys. 18, 662 (2022)1745-247310.1038/s41567-022-01544-9] provides a versatile way of simulating an extremely broad class of open quantum systems.
Moritz Cygorek +3 more
doaj +2 more sources
The Arithmetic Complexity of Tensor Contraction
Theory of Computing Systems, 2016 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.
Florent Capelli +2 more
semanticscholar +7 more sources
Positive Bias Makes Tensor-Network Contraction Tractable [PDF]
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
openalex +2 more sources