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Latest papers without code

Tensor Networks for Multi-Modal Non-Euclidean Data

27 Mar 2021

Modern data sources are typically of large scale and multi-modal natures, and acquired on irregular domains, which poses serious challenges to traditional deep learning models.

TENSOR NETWORKS

Neural tensor contractions and the expressive power of deep neural quantum states

18 Mar 2021

We establish a direct connection between general tensor networks and deep feed-forward artificial neural networks.

TENSOR NETWORKS

Tensor networks and efficient descriptions of classical data

11 Mar 2021

We investigate the potential of tensor network based machine learning methods to scale to large image and text data sets.

TENSOR NETWORKS

Emergent Einstein Equation in p-adic CFT Tensor Networks

24 Feb 2021

We take the tensor network describing explicit p-adic CFT partition functions proposed in [1], and considered boundary conditions of the network describing a deformed Bruhat-Tits (BT) tree geometry.

TENSOR NETWORKS HIGH ENERGY PHYSICS - THEORY STRONGLY CORRELATED ELECTRONS GENERAL RELATIVITY AND QUANTUM COSMOLOGY MATHEMATICAL PHYSICS MATHEMATICAL PHYSICS QUANTUM PHYSICS

Detecting transition between Abelian and non-Abelian topological orders through symmetric tensor networks

22 Feb 2021

We propose a unified scheme to identify phase transitions out of the $\mathbb{Z}_2$ Abelian topological order, including the transition to a non-Abelian chiral spin liquid.

TENSOR NETWORKS STRONGLY CORRELATED ELECTRONS

An end-to-end trainable hybrid classical-quantum classifier

4 Feb 2021

We introduce a hybrid model combining a quantum-inspired tensor network and a variational quantum circuit to perform supervised learning tasks.

TENSOR NETWORKS

Holographic tensor network models and quantum error correction: A topical review

4 Feb 2021

Recent progress in studies of holographic dualities, originally motivated by insights from string theory, has led to a confluence with concepts and techniques from quantum information theory.

TENSOR NETWORKS QUANTUM PHYSICS STRONGLY CORRELATED ELECTRONS HIGH ENERGY PHYSICS - THEORY

Approximation with Tensor Networks. Part III: Multivariate Approximation

28 Jan 2021

To answer the latter: as a candidate model class we consider approximation classes of TNs and show that these are (quasi-)Banach spaces, that many types of classical smoothness spaces are continuously embedded into said approximation classes and that TN approximation classes are themselves not embedded in any classical smoothness space.

TENSOR NETWORKS

Tensor-Train Networks for Learning Predictive Modeling of Multidimensional Data

22 Jan 2021

We show that the weights of a multidimensional regression model can be learned by means of TT network and the optimization of TT weights is a more robust to the impact of coefficient initialization and hyper-parameter setting.

TENSOR NETWORKS TIME SERIES

Enhancing Combinatorial Optimization with Quantum Generative Models

15 Jan 2021

We show that our quantum-inspired generative models based on tensor networks generalize to unseen candidates with lower cost function values than any of the candidates seen by the classical solvers.

COMBINATORIAL OPTIMIZATION PORTFOLIO OPTIMIZATION QUANTUM MACHINE LEARNING TENSOR NETWORKS QUANTUM PHYSICS