Results 21 to 30 of about 751,143 (344)
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 +2 more sources
Minimum Cost Loop Nests for Contraction of a Sparse Tensor with a Tensor Network [PDF]
Proceedings of the 36th ACM Symposium on Parallelism in Algorithms and Architectures, 2023 Sparse tensor decomposition and completion are common in numerous applications, ranging from machine learning to computational quantum chemistry. Typically, the main bottleneck in optimization of these models are contractions of a single large sparse ...
Raghavendra Kanakagiri, Edgar Solomonik
semanticscholar +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
Optimization Methods for Generalized Tensor Contraction
Bulletin of the South Ural State University. Series "Computational Mathematics and Software Engineering", 2020 Roman A. Gareev
semanticscholar +4 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
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
Faster identification of optimal contraction sequences for tensor networks [PDF]
Physical Review E, 2014 The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, loop quantum gravity, and quantum chemistry.
Haegeman, Jutho +2 more
core +6 more sources
The arithmetic complexity of tensor contractions [PDF]
Theory of Computing Systems, 2012 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
openalex +7 more sources
GENERALIZED HARDI INVARIANTS BY METHOD OF TENSOR CONTRACTION. [PDF]
Proc IEEE Int Symp Biomed Imaging, 2014 Invariants play an important role in diffusion MRI (dMRI). They represent tissue properties, such as diffusion anisotropy, and are used for registration, tissue segmentation and classification, as well as white matter integrity measures in clinical studies of debilitating brain diseases.
Gur Y, Johnson CR.
europepmc +4 more sources
IEICE Trans. Inf. Syst., 2016 Modern optimizing compilers tend to be conservative and often fail to vectorize programs that would have benefited from it. In this paper, we propose a way to predict the relevant command-line options of the compiler so that it chooses the most ...
Antoine Trouvé +5 more
openalex +3 more sources