A Provably Efficient Method for Tensor Ring Decomposition and Its Applications | Paper Citation Record

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This paper cites Unsupervised multiway data analysis: A literature survey.IEEE transactions on knowledge and data engineering, 21(1):6–20, 2008.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Unsupervised multiway data analysis: A literature survey.IEEE transactions on knowledge and data engineering, 21(1):6–20, 2008

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This paper cites A survey on the complexity of learning quantum states.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A survey on the complexity of learning quantum states

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This paper cites Rigorous rg algorithms and area laws for low energy eigenstates in 1d.Communications in Mathematical Physics, 356(1):65–105, 2017.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Rigorous rg algorithms and area laws for low energy eigenstates in 1d.Communications in Mathematical Physics, 356(1):65–105, 2017

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This paper cites Springer, 2003.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Springer, 2003

Reference 4

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Observation c9400a7b-01fb-4000-86d4-d3b4a668e6ca · outbound

This paper cites Constrained k-means clustering.Microsoft Research, Redmond, 20(0):0, 2000.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Constrained k-means clustering.Microsoft Research, Redmond, 20(0):0, 2000

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This paper cites Hand-waving and interpretive dance: an introductory course on tensor networks.Journal of physics A: Mathematical and theoretical, 50(22):223001, 2017.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Hand-waving and interpretive dance: an introductory course on tensor networks.Journal of physics A: Mathematical and theoretical, 50(22):223001, 2017

Reference 6

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This paper cites eckart-young.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications eckart-young

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Observation 5ee96f2c-5a52-4465-ada7-8c56149e10b0 · outbound

This paper cites Learning polynomial transformations via gen- eralized tensor decompositions.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Learning polynomial transformations via gen- eralized tensor decompositions

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This paper cites Tensor decompositions for signal processing applications: From two-way to multiway component analysis.IEEE Signal Processing Magazine, 32(2):145–163, 2015.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor decompositions for signal processing applications: From two-way to multiway component analysis.IEEE Signal Processing Magazine, 32(2):145–163, 2015

Reference 9

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This paper cites Decomposition of quantics in sums of powers of linear forms.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Decomposition of quantics in sums of powers of linear forms

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This paper cites Tensor decomposition of eeg signals: a brief review.Journal of neuroscience methods, 248:59–69, 2015.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor decomposition of eeg signals: a brief review.Journal of neuroscience methods, 248:59–69, 2015

Reference 11

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This paper cites Springer, 4th edition, 2015.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Springer, 4th edition, 2015

Reference 12

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This paper cites Efficient quantum state tomogra- phy.Nature communications, 1(1):149, 2010.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Efficient quantum state tomogra- phy.Nature communications, 1(1):149, 2010

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Observation 68dfab2e-b928-4175-b51e-f7fbf4668397 · outbound

This paper cites A survey of tensor methods.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A survey of tensor methods

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This paper cites On the best rank-1 and rank-(r 1, r 2,..., rn) approximation of higher-order tensors.SIAM journal on Matrix Analysis and Applications, 21(4): 1324–1342, 2000.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications On the best rank-1 and rank-(r 1, r 2,..., rn) approximation of higher-order tensors.SIAM journal on Matrix Analysis and Applications, 21(4): 1324–1342, 2000

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This paper cites A multilinear singular value decomposition.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A multilinear singular value decomposition

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This paper cites Computing large-scale matrix and tensor decomposition with structured factors: A unified nonconvex optimization perspective.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Computing large-scale matrix and tensor decomposition with structured factors: A unified nonconvex optimization perspective

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Observation 5fe905d6-891a-4fc9-85e1-5f4449ad98d8 · outbound

This paper cites Harshman.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Harshman

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Observation ed33b5cb-d939-438c-b567-12e0e9e809ac · outbound

This paper cites A survey on tensor techniques and applications in machine learning.IEEE Access, 7:162950–162990, 2019.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A survey on tensor techniques and applications in machine learning.IEEE Access, 7:162950–162990, 2019

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This paper cites Efficient construction of tensor ring representations from sampling.Multiscale Modeling & Simulation, 19(3):1261–1284, 2021.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Efficient construction of tensor ring representations from sampling.Multiscale Modeling & Simulation, 19(3):1261–1284, 2021

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Observation a913a511-6ae9-4edf-aede-a954f6603170 · outbound

This paper cites Orthogonal tensor decompositions.SIAM Journal on Matrix Analysis and Applica- tions, 23(1):243–255, 2001.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Orthogonal tensor decompositions.SIAM Journal on Matrix Analysis and Applica- tions, 23(1):243–255, 2001

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Observation 08d5e9a4-7cd4-4ac7-9767-979894824dc0 · outbound

This paper cites Tensor decompositions and applications.SIAM review, 51(3): 455–500, 2009.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor decompositions and applications.SIAM review, 51(3): 455–500, 2009

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This paper cites Tensor regression networks.Journal of Machine Learning Research, 21(123):1–21, 2020.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor regression networks.Journal of Machine Learning Research, 21(123):1–21, 2020

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This paper cites A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians.Nature Physics, 11(7):566–569, 2015.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A polynomial time algorithm for the ground state of one-dimensional gapped local hamiltonians.Nature Physics, 11(7):566–569, 2015

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Efficient Direct Tomography for Matrix Product States

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This paper cites A decomposition for three-way arrays.SIAM Journal on Matrix Analysis and Applications, 14(4):1064–1083, 1993.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A decomposition for three-way arrays.SIAM Journal on Matrix Analysis and Applications, 14(4):1064–1083, 1993

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This paper cites k-means-constrained, April 2018.

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications k-means-constrained, April 2018

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Characterizing spatiotemporal transcriptome of the human brain via low-rank tensor decomposition.Statistics in Biosciences, 14(3):485–513, 2022

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Symmetric quantum states: a review of recent progress

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications The complexity of the word problems for commutative semigroups and polynomial ideals.Advances in mathematics, 46(3):305–329, 1982

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Parallel factor analysis as an exploratory tool for wavelet transformed event-related eeg.NeuroImage, 29(3): 938–947, 2006

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Cambridge university press, 2010

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications A practical introduction to tensor networks: Matrix product states and projected entan- gled pair states.Annals of physics, 349:117–158, 2014

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor-traindecomposition.SIAM Journal on Scientific Computing, 33(5):2295–2317, 2011

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor methods in computer vision and deep learning.Proceedings of the IEEE, 109(5):863–890, 2021

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensors for data mining and data fusion: Models, applications, and scalable algorithms.ACM Transactions on Intelligent Systems and Technology (TIST), 8(2):1–44, 2016

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Introduction to Tensor Decompositions and their Applications in Machine Learning

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Thedensity-matrixrenormalization group intheageofmatrix product states.Annals of physics, 326(1):96–192, 2011

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor methods in biomedical image analysis.Journal of Medical Signals & Sensors, 14(6):16, 2024

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensordecompositionforsignalprocessingandmachinelearning.IEEE Transactions on Signal Processing, 65(13):3551–3582, 2017

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Some mathematical notes on three-mode factor analysis.Psychometrika, 31(3): 279–311, 1966

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems.Advances in physics, 57(2):143–224, 2008

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Efficient low rank tensor ring completion

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor network ranks

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor ring decomposition with rank minimization on latent space: An efficient approach for tensor completion

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor svd: Statistical and computational limits.IEEE Transactions on Information Theory, 64(11):7311–7338, 2018

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Tensor Ring Decomposition

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Learning with hypergraphs: Clustering, classification, and embedding.Advances in neural information processing systems, 19, 2006

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A Provably Efficient Method for Tensor Ring Decomposition and Its Applications Optimal high-order tensor svd via tensor- train orthogonal iteration.IEEE transactions on information theory, 68(6):3991–4019, 2022

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