Search Results - High-order tensor algorithm

A Tensor-Based Algorithm for High-Order Graph Matching by Duchenne, O., Bach, F., In-So Kweon, Ponce, Jean

“… This function is defined by a tensor representing the affinity between feature tuples. It is maximized using a generalization of spectral techniques where a relaxed problem…”
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Fast Alternating LS Algorithms for High Order CANDECOMP/PARAFAC Tensor Factorizations by Phan, Anh-Huy, Tichavsky, Petr, Cichocki, Andrzej

“… For an order- N tensor, most CP algorithms can be computationally demanding due to computation of gradients which are related to products between tensor unfoldings and Khatri-Rao products…”
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A High-Order Statistical Tensor Based Algorithm for Anomaly Detection in Hyperspectral Imagery by Geng, Xiurui, Sun, Kang, Ji, Luyan, Zhao, Yongchao

“…Recently, high-order statistics have received more and more interest in the field of hyperspectral anomaly detection…”
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A control-theoretic perspective on optimal high-order optimization by Lin, Tianyi, Jordan, Michael I.

“…We provide a control-theoretic perspective on optimal tensor algorithms for minimizing a convex function in a finite-dimensional Euclidean space. Given a function Φ : R d…”
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High-order possibilistic c-means algorithms based on tensor decompositions for big data in IoT by Zhang, Qingchen, Yang, Laurence T., Chen, Zhikui, Li, Peng

“… Each big data sample typically involves a large number of attributes, posing a remarkable challenge on the high-order possibilistic c-means algorithm (HOPCM…”
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Implementation of a Denoising Algorithm Based on High-Order Singular Value Decomposition of Tensors by Feschet, Fabien

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Architecture-based and target-oriented algorithm optimization of high-order methods via complete-search tensor contraction by You, Hojun, Kim, Chongam

“… To address this issue, we present an architecture-based and target-oriented algorithm optimization for high-order methods, called complete-search tensor contraction (CsTC…”
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Super-Resolution Reconstruction Algorithm Based on Spatial-Spectral Prior and High-Order Tensor Representation by WANG Zhen, CHEN Xi′ai, YANG Chao, JIA Huidi, HAN Zhi, TANG Yandong

“… These problems significantly affect the accuracy of subsequent image-processing tasks. To address this challenge, this study proposes a HSI super-resolution reconstruction algorithm based on spatial-spectral prior and high-order tensor representation…”
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A tensor-based algorithm for high-order graph matching by Duchenne, Olivier, Bach, Francis, Kweon, Inso, Ponce, Jean

“… This function is defined by a tensor representing the affinity between feature tuples. It is maximized using a generalization of spectral techniques where a relaxed problem…”
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Optimal High-Order Tensor SVD via Tensor-Train Orthogonal Iteration by Zhou, Yuchen, Zhang, Anru R., Zheng, Lili, Wang, Yazhen

“…This paper studies a general framework for high-order tensor SVD. We propose a new computationally efficient algorithm, tensor-train orthogonal iteration (TTOI…”
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A Tensor-Based Algorithm for High-Order Graph Matching : AWARD-WINNING PAPERS FROM CVPR by DUCHENNE, Olivier, BACH, Francis, KWEON, In-So, PONCE, Jean

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High-order tensor completion via gradient-based optimization under tensor train format by Yuan, Longhao, Zhao, Qibin, Gui, Lihua, Cao, Jianting

“…Tensor train (TT) decomposition has drawn people’s attention due to its powerful representation ability and performance stability in high-order tensors…”
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Nonconvex Robust High-Order Tensor Completion Using Randomized Low-Rank Approximation by Qin, Wenjin, Wang, Hailin, Zhang, Feng, Ma, Weijun, Wang, Jianjun, Huang, Tingwen

“… Theoretical results on error bounds for the proposed randomized algorithms are provided. On this basis, we then further investigate the robust high-order tensor completion…”
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Variants of the A-HPE and large-step A-HPE algorithms for strongly convex problems with applications to accelerated high-order tensor methods by Marques Alves, M.

“… The parameter $ p\geq ~2 $ p ≥ 2 appears in the (high-order) large-step condition of the new large-step A-HPE algorithm…”
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Log-Sum Regularized Kaczmarz Algorithms for High-Order Tensor Recovery by Henneberger, Katherine, Qin, Jing

“… In this work, we propose novel log-sum regularized Kaczmarz algorithms for recovering high-order tensors with either sparse or low-rank structures…”
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Multiple ocular artifacts removal based on high-order statistical tensor algorithm by Ge, Sunan, Yang, Yan, Ni, Wei, Zhang, Rui

“…The aim of this paper is to propose a multiple ocular artifacts (OAs) removal method using the high order tensor algorithm…”
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A high-order tensor completion algorithm based on Fully-Connected Tensor Network weighted optimization by Yang, Peilin, Huang, Yonghui, Qiu, Yuning, Sun, Weijun, Zhou, Guoxu

“… Among the higher-order tensor decomposition algorithms, the recently proposed fully-connected tensor network decomposition (FCTN…”
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An Adaptive Nonunitary Joint Diagonalization Algorithm of High-Order Tensors by Xia, Jing, Cheng, Guanghui, Miao, Jifei

“…Joint diagonalization (JD)of high-order tensors is a generalization of an approximate JD algorithm of a series of target matrices…”
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Power of \(\ell_1\)-Norm Regularized Kaczmarz Algorithms for High-Order Tensor Recovery by Henneberger, Katherine, Qin, Jing

“… In this work, we propose novel Kaczmarz algorithms with a power of the \(\ell_1\)-norm regularization for reconstructing high-order tensors by exploiting sparsity and/or low-rankness of tensor data…”
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Parallelization scheme for canonical polyadic decomposition of large-scale high-order tensors by Boudehane, Abdelhak, Albera, Laurent, Tenenhaus, Arthur, Le Brusquet, Laurent, Boyer, Rémy

“… While some algorithms in the literature deal with large-scale problems, others target high-order tensors…”
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