Tensor decompositionBall bearingFault diagnosisMultisensor signalSignal processingA tensor, represented as a multidimensional array, has crucial applications in various fields such as image processing and high-
Two particulartensor decompositions can be considered to be higher-order extensions of the matrix sin-gular value decomposition: CANDECOMP/PARAFAC (CP) decomposes a tensor as asum of rank-one tensors, and the Tucker decomposition is a higher-order form of principalcomponent analysis. There are ...
Applications TamaraG.KoldaandBrettW.Bader Preparedby SandiaNationalLaboratories Albuquerque,NewMexico87185andLivermore,California94550 SandiaisamultiprogramlaboratoryoperatedbySandiaCorporation, aLockheedMartinCompany,fortheUnitedStatesDepartmentofEnergy’s NationalNuclearSecurityAdministrationunderContractDE-AC04-94-AL8500...
In a second part, we show that the use of a tensor space–time coding (TSTC) structure at both the source node and the relay node of a one-way two-hop multi-input multi-output (MIMO) relay communication system leads to a nested Tucker decomposition of the fourth-order tensor formed ...
Two particular tensor decompositions can be considered to be higher-order extensions of the matrix singular value decomposition: CANDECOMP/PARAFAC (CP) decomposes a tensor as a sum of rank-one tensors, and the Tucker decomposition is a higher-order form of principal component analysis. There are ...
arXiv:2501.03776v1 [math.NA] 7 Jan 2025Group Sparse-based Tensor CP Decomposition: Model, Algorithms,and Applications in ChemometricsZihao Wang ∗ , Minru Bai † , Liang Chen ‡ , and Xueying Zhao §January 8, 2025AbstractThe CANDECOMP/PARAFAC (or Canonical polyadic, CP) decomposition ...
Cichocki, Andrzej, et al. Nonnegative matrix and tensor factorizations: applications to exploratory multi-way data analysis and blind source separation. John Wiley & Sons, 2009.(Book) Big data and new decomposition algorithm Cichocki, Andrzej. "Era of big data processing: A new approach via tens...
Accordingly, we present PaRallel Epigenomics Data Imputation with Cloud-based Tensor Decomposition (PREDICTD), which treats the imputation problem as a tensor completion task, and employs a parallelized algorithm based on the PARAFAC/CANDECOMP method8,9,]. Our implementation, developed on consumer cloud...
By using the nonlocal self-similarity of image patches, we directly stack these patches into a three-dimensional similar tensor instead of pulling them into column vectors, then the similar tensor can be completed by tensor ring (TR) decomposition. By leveraging the alternating direction method ...
More recently, the decomposition found applications in chemometrics [4] and independent component analysis (ICA) [1], [5]. The authors of [6] were the first to use this multilinear algebra technique in the context of wireless communications. They proposed a blind PARAFAC-based receiver for ...