Found 162 Documents (Results 1–100)
A fast algorithm for rank-\((L, M, N)\) block term decomposition of multi-dimensional data. (English) Zbl 07915990
Orthogonal nonnegative matrix factorization problems for clustering: a new formulation and a competitive algorithm. (English) Zbl 07910160
MSC:
90Cxx
Augmented Lagrangian method for tensor low-rank and sparsity models in multi-dimensional image recovery. (English) Zbl 07909964
Role of land use in China’s urban energy consumption: based on a deep clustering network and decomposition analysis. (English) Zbl 07898274
Convergence analysis of the largest and smallest H-eigenvalues for a class of tensor sequences. (English) Zbl 07895378
The impact of anxiety on cooperative behavior: a network evolutionary game theory approach. (English) Zbl 07894938
Riemannian preconditioned coordinate descent for low multilinear rank approximation. (English) Zbl 07871020
Dual descent augmented Lagrangian method and alternating direction method of multipliers. (English) Zbl 1539.65068
What is the probability that a random symmetric tensor is close to rank-one? (English) Zbl 1539.60005
The implications of deep cooperation strategy for the evolution of cooperation in social dilemmas. (English) Zbl 07834010
A block-randomized stochastic method with importance sampling for CP tensor decomposition. (English) Zbl 1536.65050
A graphic structure based branch-and-bound algorithm for complex quadratic optimization and applications to magnitude least-square problem. (English) Zbl 1536.90146
Provable stochastic algorithm for large-scale fully-connected tensor network decomposition. (English) Zbl 1530.65048
Deep learning based resource allocation for full-duplex-enabled two-way device-to-device communications. (English) Zbl 07929860
Liang, Qilian (ed.) et al., Communications, signal processing, and systems. Proceedings of the 11th international conference, virtual, July 23–24, 2022. Vol. 3. Cham: Springer. Lect. Notes Electr. Eng. 874, 223-230 (2023).
MSC:
94A12
Average-case complexity of tensor decomposition for low-degree polynomials. (English) Zbl 07844703
Saha, Barna (ed.) et al., Proceedings of the 55th annual ACM SIGACT symposium on theory of computing, STOC ’23, Orlando, FL, USA, June 20–23, 2023. New York, NY: Association for Computing Machinery (ACM). 1685-1698 (2023).
MSC:
68Qxx
Variational Bayesian inference for CP tensor completion with subspace information. (English) Zbl 1536.65048
Learning topic models: identifiability and finite-sample analysis. (English) Zbl 07784951
MSC:
62-XX
Covariate-assisted sparse tensor completion. (English) Zbl 07784932
MSC:
62-XX
An efficient randomized fixed-precision algorithm for tensor singular value decomposition. (English) Zbl 07776130
Commun. Appl. Math. Comput. 5, No. 4, 1564-1583 (2023); correction ibid. 6, No. 4, 2332-2335 (2024).
Alternating Mahalanobis distance minimization for accurate and well-conditioned CP decomposition. (English) Zbl 1527.15026
Coseparable nonnegative matrix factorization. (English) Zbl 07752098
MSC:
68T10
65F30
The value of the blockchain platform for shipping logistics considering the perceived utility of consumers. (English) Zbl 1521.90082
The condition number of many tensor decompositions is invariant under Tucker compression. (English) Zbl 1523.65040
Nonlinear algebra and applications. (English) Zbl 1522.13040
Reviewer: Hanieh Keneshlou (Leipzig)
Z-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglement. (English) Zbl 1517.15020
Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. (English) Zbl 1527.74082
Tensor robust principal component analysis via tensor fibered rank and \(l_p\) minimization. (English) Zbl 07715434
Accelerated doubly stochastic gradient descent for tensor CP decomposition. (English) Zbl 1515.65110
Partially symmetric tensor structure preserving rank-\(R\) approximation via BFGS algorithm. (English) Zbl 1522.65065
A generalization of Kruskal’s theorem on tensor decomposition. (English) Zbl 1518.14077
Reviewer: Jinhyung Park (Daejeon)
Half-quadratic alternating direction method of multipliers for robust orthogonal tensor approximation. (English) Zbl 1518.90086
Inverse estimation of time-varying heat transfer coefficients for a hollow cylinder by using self-learning particle swarm optimization. (English) Zbl 07677988
On global convergence of alternating least squares for tensor approximation. (English) Zbl 1516.90068
The average condition number of most tensor rank decomposition problems is infinite. (English) Zbl 1511.15020
Low-rank nonnegative tensor approximation via alternating projections and sketching. (English) Zbl 1505.65185
Nonnegative low rank tensor approximations with multidimensional image applications. (English) Zbl 1542.65051
Inertial accelerated SGD algorithms for solving large-scale lower-rank tensor CP decomposition problems. (English) Zbl 1503.65131
An improved PARAFAC estimator for 2D-DOA estimation using EMVS array. (English) Zbl 1509.94032
MSC:
94A12
Information theory and recovery algorithms for data fusion in Earth observation. (English) Zbl 07633128
Kutyniok, Gitta (ed.) et al., Compressed sensing in information processing. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 435-469 (2022).
Multi-dimensional image recovery via fully-connected tensor network decomposition under the learnable transforms. (English) Zbl 1504.94015
Hot-SVD: higher order t-singular value decomposition for tensors based on tensor-tensor product. (English) Zbl 1513.90150
Several approximation algorithms for sparse best rank-1 approximation to higher-order tensors. (English) Zbl 1496.90098
A fast sketching-based algorithm for rank-\((L,L,1)\) block term decomposition. (English) Zbl 1524.65200
Perturbations of the Tcur decomposition for tensor valued data in the Tucker format. (English) Zbl 1494.15024
\((L_r,L_r,1)\)-decompositions, sparse component analysis, and the blind separation of sums of exponentials. (English) Zbl 1493.15077
Interpolatory tensorial reduced order models for parametric dynamical systems. (English) Zbl 1507.65293
Robust tensor completion: equivalent surrogates, error bounds, and algorithms. (English) Zbl 1497.65080
SISAL revisited. (English) Zbl 1492.65126
Nonconvex low-rank tensor completion from noisy data. (English) Zbl 1511.90330
Reviewer: Liangzu Peng (Baltimore)
MSC:
90C26
Alternating linear scheme in a Bayesian framework for low-rank tensor approximation. (English) Zbl 1489.15038
Solving systems of polynomial equations – a tensor approach. (English) Zbl 1505.65202
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 333-341 (2022).
Low tubal rank tensor recovery using the Bürer-Monteiro factorisation approach. Application to optical coherence tomography. (English) Zbl 1483.65068
Guarantees for existence of a best canonical polyadic approximation of a noisy low-rank tensor. (English) Zbl 1484.15029
A recursive eigenspace computation for the canonical polyadic decomposition. (English) Zbl 1484.15030
Hyperspectral super-resolution accounting for spectral variability: coupled tensor LL1-based recovery and blind unmixing of the unknown super-resolution image. (English) Zbl 1524.68425
MSC:
68U10
An efficient recursive identification algorithm for multilinear systems based on tensor decomposition. (English) Zbl 1527.93044
MuLOT: multi-level optimization of the canonical polyadic tensor decomposition at large-scale. (English) Zbl 1495.68193
Bellatreche, Ladjel (ed.) et al., Advances in databases and information systems. 25th European conference, ADBIS 2021, Tartu, Estonia, August 24–26, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12843, 198-212 (2021).
Tensor canonical correlation analysis with convergence and statistical guarantees. (English) Zbl 07499913
MSC:
62-XX
Tensor decision trees for continual learning from drifting data streams. (English) Zbl 07465773
MSC:
68T05
Continuity, differentiability and semismoothness of generalized tensor functions. (English) Zbl 1476.15044
Mode-wise tensor decompositions: multi-dimensional generalizations of CUR decompositions. (English) Zbl 07415128
MSC:
68T05
A sharp blockwise tensor perturbation bound for orthogonal iteration. (English) Zbl 07415122
MSC:
68T05
A Barzilai-Borwein gradient algorithm for spatio-temporal internet traffic data completion via tensor triple decomposition. (English) Zbl 1528.68041
Comparison of accuracy and scalability of Gauss-Newton and alternating least squares for CANDECOMC/PARAFAC decomposition. (English) Zbl 07379625
Structuring data with block term decomposition: decomposition of joint tensors and variational block term decomposition as a parametrized mixture distribution model. (English. Russian original) Zbl 1468.62309
Comput. Math. Math. Phys. 61, No. 5, 816-835 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 845-864 (2021).
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