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tensor network

Topic Tensor Network for Implicit Discourse Relation Recognition in Chinese

Topic Tensor Network for Implicit Discourse Relation Recognition in Chinese

... Our TTN model outperforms all of the base- lines with large gains from 2.1 to 4.9 in the micro F1-score and significant gains from 1.6 to 6.7 in the macro F1-score. Compared with the baselines, TTN not only captures the ...

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Application of tensor network method to two dimensional lattice N = 1 Wess–Zumino model

Application of tensor network method to two dimensional lattice N = 1 Wess–Zumino model

... a tensor network formulation of the two dimensional lattice N = 1 Wess–Zumino model with Wilson derivatives for both fermions and ...a tensor network for both fermion and scalar boson systems ...

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Tensor Network study of the (1+1)-dimensional Thirring Model

Tensor Network study of the (1+1)-dimensional Thirring Model

... Abstract. Tensor Network methods have been established as a powerful technique for simulating low dimensional strongly-correlated systems for over two ...

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Multimodal Relational Tensor Network for Sentiment and Emotion Classification

Multimodal Relational Tensor Network for Sentiment and Emotion Classification

... Relational Tensor Network archi- tecture where we use the inter-modal in- teractions within a segment and also con- sider the sequence of segments in a video to model the inter-segment inter-modal in- ...

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Bruognolo, Benedikt
  

(2017):


	Tensor network techniques for strongly correlated systems: simulating the quantum many-body wavefunction in zero, one, and two dimensions.


Dissertation, LMU München: Fakultät für Physik

Bruognolo, Benedikt (2017): Tensor network techniques for strongly correlated systems: simulating the quantum many-body wavefunction in zero, one, and two dimensions. Dissertation, LMU München: Fakultät für Physik

... in tensor network ...in tensor networks caused by two features of the symmetric ...of tensor contractions and tensor ...QSpace tensor network library exploits this feature ...

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Development of Tensor Network Algorithms for Studying Classical and Quantum Many Body Systems

Development of Tensor Network Algorithms for Studying Classical and Quantum Many Body Systems

... extensions such as second renormalization group (SRG) [137], higher order ten- sor renormalization group (HOTRG) [138], and tensor network renormalization (TNR) [139, 141, 142]. A common feature of these ...

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Continuum tensor network field states, path integral representations and spatial symmetries

Continuum tensor network field states, path integral representations and spatial symmetries

... A natural way to generalize tensor network variational classes to quantum field systems is via a continuous tensor contraction. This approach is first illustrated for the class of quantum field states ...

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Tensor Network Representation of Many-Body Quantum States and Unitary Operators

Tensor Network Representation of Many-Body Quantum States and Unitary Operators

... the tensor networks, the tensor is varied as to find the representation of the ground states of the given ...that tensor network can be an unstable representation for a topological phase: even ...

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Towards a Theory of Quantum Gravity Through Geometrization of Quantum Mechanics

Towards a Theory of Quantum Gravity Through Geometrization of Quantum Mechanics

... a tensor network representation of AdS/CFT correspon- ...of tensor network known as the Multiscale Entanglement Renormalization Ansatz (MERA) [39] captures simple features of the ...of ...

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Resonant two-site tunneling dynamics of bosons in a tilted optical superlattice

Resonant two-site tunneling dynamics of bosons in a tilted optical superlattice

... optimized tensor network techniques to calculate finite temperature behavior of the model, as well as finite size scaling for the ground state, we conclude that the universality class of the phase ...

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Resonant two site tunnelling dynamics of bosons in a tilted optical superlattice

Resonant two site tunnelling dynamics of bosons in a tilted optical superlattice

... resonant dynamics over multiple sites, when E = U / n for positive integer n [8]. Here and in Ref. [14] we introduce a superlattice into this system, in order to cleanly extend these studies to the case of general n. We ...

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Towards a Fisher-Information Description of Complexity in de Sitter Universe

Towards a Fisher-Information Description of Complexity in de Sitter Universe

... a tensor network can be regarded as a Fisher information measure (FIM) of a dS universe, followed by several observations: (i) the holographic entanglement entropy has a tensor-network ...

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Self assembling tensor networks and holography in disordered spin chains

Self assembling tensor networks and holography in disordered spin chains

... The tensor network approach makes finding other ex- pectation values, ...top tensor and instead of keeping the lowest energy eigenvector, one keeps a suitable set of higher energy ...the ...

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Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter

Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter

... sor network, which is persistent throughout the corre- sponding ...the tensor network ...of tensor networks in obtaining a classification of subsystem SPT ...

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The Geometrization of the Electromagnetic Field

The Geometrization of the Electromagnetic Field

... Thus far, this publication has not answered the question whether does geometriza- tion excludes quantization and vice versa. In other words, is there a dualism between geometrization and quantization in the sense either ...

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Brain connectomic associations with traditional Chinese medicine diagnostic classification of major depressive disorder: a diffusion tensor imaging study

Brain connectomic associations with traditional Chinese medicine diagnostic classification of major depressive disorder: a diffusion tensor imaging study

... Network construction and connectivity analysis were conducted as we have done previously [17]. To determine the brain regions in the network, an automated ana- tomical labeling (AAL) template was used to ...

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The 22 December 2018 tsunami from flank collapse of Anak Krakatau volcano during eruption

The 22 December 2018 tsunami from flank collapse of Anak Krakatau volcano during eruption

... Acknowledgments: We thank three anonymous reviewers for their comments on the manuscript, which helped to improve the presentation. Funding: This study was supported by Fundamental Research Funds for the Central ...

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Contribution of diffusion, perfusion and functional MRI to the disconnection hypothesis in subcortical vascular cognitive impairment

Contribution of diffusion, perfusion and functional MRI to the disconnection hypothesis in subcortical vascular cognitive impairment

... diffusion tensor imaging (DTI) and functional MRI (fMRI), have emerged as useful tools for identifying subtle white matter changes and the intrinsic connectivity between distinct cortical ...

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Network Effect in Geocentre Motion

Network Effect in Geocentre Motion

... The potential of the great earthquakes to cause measurable displacements of every geodetic station on Earth, including in particular the reference stations, poses a serious challenge to the integrity of the ITRF. It is ...

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Tensor Product Generation Networks for Deep NLP Modeling

Tensor Product Generation Networks for Deep NLP Modeling

... include network hypothe- ses that are independently known to be suitable for performing the target ...of Tensor Product Represen- tations (TPRs) (Smolensky and Legendre, ...

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