Kweyu, Cleophas; Khoromskaia, Venera; Khoromskij, Boris N.; Stein, Matthias; Benner, Peter Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format. (English) Zbl 07967113 SIAM J. Sci. Comput. 47, No. 1, B87-B107 (2025). MSC: 65F10 65F30 65F50 65N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eppstein, David Orthogonal dissection into few rectangles. (English) Zbl 07966740 Discrete Comput. Geom. 73, No. 1, 129-148 (2025). MSC: 52B45 52C20 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blatter, Andreas; Draisma, Jan; Rupniewski, Filip Countably many asymptotic tensor ranks. (English) Zbl 07965995 Linear Multilinear Algebra 73, No. 1, 122-127 (2025). MSC: 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flavi, Cosimo Upper bounds for the rank of powers of quadrics. (English) Zbl 07960784 Linear Algebra Appl. 707, 49-79 (2025). MSC: 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lavrauw, Michel; Zullo, Ferdinando Waring identifiable subspaces over finite fields. (English) Zbl 07960244 J. Algebr. Comb. 61, No. 1, Paper No. 2, 25 p. (2025). MSC: 15A69 15A63 14J70 15A72 51E20 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aghamohammadi, Faezeh; Shakeri, Fatemeh Self representation based methods for tensor completion problem. (English) Zbl 07958834 J. Comput. Appl. Math. 457, Article ID 116297, 19 p. (2025). MSC: 15A69 15A83 × Cite Format Result Cite Review PDF Full Text: DOI
Dektor, Alec Collocation methods for nonlinear differential equations on low-rank manifolds. (English) Zbl 07955794 Linear Algebra Appl. 705, 143-184 (2025). MSC: 65F45 65F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Beihua; Song, Peng; Cheng, Yuanbo; Zhou, Shixuan; Liu, Zhaowei Enhanced tensor based embedding anchor learning for multi-view clustering. (English) Zbl 07950758 Inf. Sci. 690, Article ID 121532, 17 p. (2025). MSC: 68T05 62H30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Kun Modular tensor categories arising from central extensions and related applications. (English) Zbl 07945824 J. Algebra 662, 832-851 (2025). MSC: 16T05 18M20 16T25 × Cite Format Result Cite Review PDF Full Text: DOI
Ottaviani, Giorgio; Teixeira Turatti, Ettore Generalized identifiability of sums of squares. (English) Zbl 07938144 J. Algebra 661, 641-656 (2025). MSC: 14N07 14N05 11E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bucci, Alberto; Hashemi, Behnam A sequential multilinear Nyström algorithm for streaming low-rank approximation of tensors in Tucker format. (English) Zbl 07927822 Appl. Math. Lett. 159, Article ID 109271, 5 p. (2025). MSC: 65F55 68W20 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Zhengbang; Wei, Yimin; Xie, Pengpeng An L-DEIM induced high order tensor interpolatory decomposition. (English) Zbl 1545.65196 J. Comput. Appl. Math. 453, Article ID 116143, 20 p. (2025). MSC: 65F99 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiu, Christopher; Danelon, Alessandro; Draisma, Jan Singular loci in varieties of tensors. arXiv:2501.07497 Preprint, arXiv:2501.07497 [math.AG] (2025). MSC: 14B05 14L30 14N07 20G05 × Cite Format Result Cite Full Text: arXiv
Draisma, Jan; Karam, Thomas On subtensors of high partition rank. (English) Zbl 07962888 Proc. Am. Math. Soc. 152, No. 12, 5083-5093 (2024). MSC: 15A69 15A03 12E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, Edoardo; Brambilla, Maria Chiara Correction to: “Minimal Terracini loci in the plane: gaps and non-gaps”. (English) Zbl 07960895 Rend. Circ. Mat. Palermo (2) 73, No. 8, 3399 (2024). MSC: 14C20 14N07 × Cite Format Result Cite Review PDF Full Text: DOI
Ballico, Edoardo; Brambilla, Maria Chiara Minimal Terracini loci in projective space. (English) Zbl 07957825 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 35, No. 2, 175-213 (2024). MSC: 14C20 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abo, Hirotachi; Brambilla, Maria Chiara; Galuppi, Francesco; Oneto, Alessandro Non-defectivity of Segre-Veronese varieties. (English) Zbl 07957250 Proc. Am. Math. Soc., Ser. B 11, 589-602 (2024). MSC: 14N05 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozhasov, Khazhgali; Tonelli-Cueto, Josué Probabilistic bounds on best rank-1 approximation ratio. (English) Zbl 07955130 Linear Multilinear Algebra 72, No. 17, 3000-3028 (2024). Reviewer: Fatemeh Beik (Burnaby) MSC: 15A69 15A60 41A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Wenhui; Ling, Chen; He, Hongjin; Zhang, Lei-Hong Robust tensor recovery via a nonconvex approach with ket augmentation and auto-weighted strategy. (English) Zbl 07953730 Numer. Linear Algebra Appl. 31, No. 6, e2580, 25 p. (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Guang-Jing; Hu, Yexun; Xu, Cobi; Ng, Michael K. Nonnegative low multi-rank third-order tensor approximation via transformation. (English) Zbl 07953724 Numer. Linear Algebra Appl. 31, No. 6, e2574, 23 p. (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Bik, Arthur; Neri, Alessandro Higher-degree symmetric rank-metric codes. (English) Zbl 07950681 SIAM J. Appl. Algebra Geom. 8, No. 4, 931-967 (2024). MSC: 94B05 14N07 11T71 51E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghahremani, Behzad; Babaee, Hessam Cross interpolation for solving high-dimensional dynamical systems on low-rank Tucker and tensor train manifolds. (English) Zbl 07949554 Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117385, 20 p. (2024). MSC: 65M70 15A69 34A34 35G25 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Olano, Sebastián; Raychaudhury, Debaditya; Song, Lei Singularities of secant varieties from a Hodge theoretic perspective. (English) Zbl 07948138 Proc. Lond. Math. Soc. (3) 129, No. 4, Article ID e12635, 34 p. (2024). MSC: 14J17 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koiran, Pascal On the uniqueness and computation of commuting extensions. (English) Zbl 07941056 Linear Algebra Appl. 703, 645-666 (2024). MSC: 15A27 47B47 81P45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marziali, Sara Boolean operators and neural networks. (English) Zbl 07936964 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 70, No. 4, 1767-1783 (2024). MSC: 14N07 × Cite Format Result Cite Review PDF Full Text: DOI
Chiantini, Luca; Gesmundo, Fulvio Decompositions and Terracini loci of cubic forms of low rank. (English) Zbl 07936202 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 139-155 (2024). MSC: 14N07 13D40 14N05 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angelini, Elena; Chiantini, Luca; Oneto, Alessandro Waring decompositions of special ternary forms with different Hilbert functions. (English) Zbl 07936198 Iarrobino, Anthony (ed.) et al., Deformation of Artinian algebras and Jordan type. AMS-EMS-SMF special session, Université Grenoble Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 805, 77-93 (2024). MSC: 14C20 14N07 13A02 13C40 14N05 15A69 13D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Mengyu; Cui, Honghua; Li, Hanyu SVD-based algorithms for tensor wheel decomposition. (English) Zbl 1547.49028 Adv. Comput. Math. 50, No. 5, Paper No. 99, 23 p. (2024). MSC: 49M27 15A69 15A18 65F15 65F55 65K05 65K10 68W20 × Cite Format Result Cite Review PDF Full Text: DOI
Ballico, Edoardo; Brambilla, Maria Chiara Minimal Terracini loci in the plane: gaps and non-gaps. (English) Zbl 07931459 Rend. Circ. Mat. Palermo (2) 73, No. 6, 2195-2204 (2024); correction ibid. 73, No. 8, 3399 (2024). MSC: 14C20 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bucci, Alberto; Robol, Leonardo A multilinear Nyström algorithm for low-rank approximation of tensors in Tucker format. (English) Zbl 1547.65044 SIAM J. Matrix Anal. Appl. 45, No. 4, 1929-1953 (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, Edoardo Semicontinuitz and \(X\)-rank. (English) Zbl 1547.14072 Gulf J. Math. 17, No. 2, 1-4 (2024). MSC: 14N07 14N05 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Jin-Liang; Huang, Ting-Zhu; Deng, Liang-Jian; Dou, Hong-Xia A novel \(\ell_0\) minimization framework of tensor tubal rank and its multi-dimensional image completion application. (English) Zbl 07924642 Inverse Probl. Imaging 18, No. 6, 1366-1389 (2024). MSC: 68U10 65D18 65K05 65K10 15A69 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Kovač, Erna Begović; Periša, Lana CP decomposition and low-rank approximation of antisymmetric tensors. (English) Zbl 07919862 ETNA, Electron. Trans. Numer. Anal. 62, 72-94 (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bozorgmanesh, Hassan Relaxation of the rank-1 tensor approximation using different norms. (English) Zbl 07919861 ETNA, Electron. Trans. Numer. Anal. 62, 58-71 (2024). MSC: 65F55 65F35 15A18 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Bukh, Boris Extremal graphs without exponentially small bicliques. (English) Zbl 1547.05134 Duke Math. J. 173, No. 11, 2039-2062 (2024). MSC: 05C30 05C35 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhang, Hao; Huang, Ting-Zhu; Zhao, Xi-Le; Che, Maolin A fast algorithm for rank-\((L, M, N)\) block term decomposition of multi-dimensional data. (English) Zbl 1547.65079 J. Sci. Comput. 101, No. 1, Paper No. 16, 21 p. (2024). MSC: 65K10 15A69 65F55 68T09 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Jifei; Kou, Kit Ian; Cai, Hongmin; Liu, Lizhi Quaternion tensor left ring decomposition and application for color image inpainting. (English) Zbl 1547.94052 J. Sci. Comput. 101, No. 1, Paper No. 1, 26 p. (2024). MSC: 94A08 15A69 65F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hitching, George H. Secant loci of scrolls over curves. (English) Zbl 07915462 Gothen, Peter (ed.) et al., Moduli spaces and vector bundles – new trends. VBAC 2022 conference in honor of Peter Newstead’s 80th birthday, University of Warwick, Coventry, United kingdom, July 25–29, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 803, 279-313 (2024). Reviewer: Edoardo Ballico (Povo) MSC: 14H60 14N07 14M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sidiropoulos, Nicholas D.; Karakasis, Paris A.; Konar, Aritra Minimizing low-rank models of high-order tensors: hardness, span, tight relaxation, and applications. (English) Zbl 07913552 IEEE Trans. Signal Process. 72, 129-142 (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zhiyuan; Ling, Chen; He, Hongjin; Qi, Liqun A tensor train approach for internet traffic data completion. (English) Zbl 07910159 Ann. Oper. Res. 339, No. 3, 1461-1479 (2024). MSC: 90B18 15A69 65F55 90B20 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Tong; Lu, Gui-Fu Coupled double consensus multi-graph fusion for multi-view clustering. (English) Zbl 07903598 Inf. Sci. 680, Article ID 121186, 18 p. (2024). MSC: 68-XX 05-XX × Cite Format Result Cite Review PDF Full Text: DOI
Che, Maolin; Wei, Yimin; Yan, Hong Sketch-based multiplicative updating algorithms for symmetric nonnegative tensor factorizations with applications to face image clustering. (English) Zbl 1546.15011 J. Glob. Optim. 89, No. 4, 995-1032 (2024). MSC: 15A69 15A23 15A24 15A18 65F55 68W20 × Cite Format Result Cite Review PDF Full Text: DOI
Gubkin, Pavel On unique tensor rank decomposition of 3-tensors. (English) Zbl 1546.15014 Linear Multilinear Algebra 72, No. 11, 1860-1866 (2024). MSC: 15A69 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruzda, Wojciech; Friedland, Shmuel; Życzkowski, Karol Rank of a tensor and quantum entanglement. (English) Zbl 1547.14073 Linear Multilinear Algebra 72, No. 11, 1796-1859 (2024). Reviewer: Edoardo Ballico (Povo) MSC: 14N07 15A69 65K10 81P40 90C27 × Cite Format Result Cite Review PDF Full Text: DOI
De las Cuevas, Gemma; Klingler, Andreas; Netzer, Tim Polynomial decompositions with invariance and positivity inspired by tensors. (English) Zbl 1546.15012 Linear Algebra Appl. 698, 537-588 (2024). MSC: 15A69 14N07 11E25 13A50 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rupniewski, Filip Strassen’s rank additivity for small tensors, including tensors of rank less or equal 7. (English) Zbl 07901470 Linear Algebra Appl. 698, 448-478 (2024). MSC: 14N07 15A69 15A03 × Cite Format Result Cite Review PDF Full Text: DOI
Bertolini, Marina; Besana, GianMario; Bini, Gilberto; Turrini, Cristina The multilinear rank and core of trifocal Grassmann tensors. (English) Zbl 07901453 Linear Algebra Appl. 698, 5-25 (2024). MSC: 15A69 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Youheng; Wang, Yulong; Chen, Longlong; Wang, Libin; Hu, Yutao TIHN: tensor improved huber norm for low-rank tensor recovery. (English) Zbl 07900510 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 5, Article ID 2450023, 22 p. (2024). MSC: 65-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI
Derksen, Harm; Makam, Visu; Zuiddam, Jeroen Subrank and optimal reduction of scalar multiplications to generic tensors. (English) Zbl 1547.15020 J. Lond. Math. Soc., II. Ser. 110, No. 2, Article ID e12963, 26 p. (2024). Reviewer: Fatemeh Beik (Burnaby) MSC: 15A69 15A03 15A04 14L24 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Yang; Gao, Kaixin Incremental quaternion singular value decomposition and its application for low rank quaternion matrix completion. (English) Zbl 07899242 Comput. Appl. Math. 43, No. 6, Paper No. 352, 17 p. (2024). MSC: 15A18 15A69 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Grotheer, Rachel; Li, Shuang; Ma, Anna; Needell, Deanna; Qin, Jing Iterative singular tube hard thresholding algorithms for tensor recovery. (English) Zbl 1545.65188 Inverse Probl. Imaging 18, No. 4, 889-907 (2024). MSC: 65F55 15A69 15A83 94A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Strössner, Christoph; Sun, Bonan; Kressner, Daniel Approximation in the extended functional tensor train format. (English) Zbl 1545.65200 Adv. Comput. Math. 50, No. 3, Paper No. 54, 28 p. (2024). MSC: 65F99 15A69 41A63 65D99 65F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, Edoardo On the non-defectivity of Segre-Veronese embeddings. (English) Zbl 07895042 Math. Z. 308, No. 1, Paper No. 6, 15 p. (2024). Reviewer: Raquel Mallavibarrena (Madrid) MSC: 14N05 14N07 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jianheng; Huang, Wen An iterative algorithm for low-rank tensor completion problem with sparse noise and missing values. (English) Zbl 07893429 Numer. Linear Algebra Appl. 31, No. 3, e2544, 24 p. (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Yajie; Li, Hanyu Practical alternating least squares for tensor ring decomposition. (English) Zbl 07893428 Numer. Linear Algebra Appl. 31, No. 3, e2542, 19 p. (2024). MSC: 15A69 49M27 65F55 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gharahi, Masoud Classifying entanglement by algebraic geometry. (English) Zbl 07888175 Int. J. Quantum Inf. 22, No. 3, Article ID 2350047, 116 p. (2024). MSC: 81-XX × Cite Format Result Cite Review PDF Full Text: DOI
Domanov, Ignat; Vervliet, Nico; Evert, Eric; De Lathauwer, Lieven Decomposition of a tensor into multilinear rank-\((M_r,N_r,\cdot)\) terms. (English) Zbl 1544.15027 SIAM J. Matrix Anal. Appl. 45, No. 3, 1310-1334 (2024). MSC: 15A69 15A23 65F55 × Cite Format Result Cite Review PDF Full Text: DOI
Bernardi, Alessandra; Oneto, Alessandro; Taufer, Daniele On schemes evinced by generalized additive decompositions and their regularity. (English. French summary) Zbl 07882137 J. Math. Pures Appl. (9) 188, 446-469 (2024). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13B25 13D40 14N07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grasedyck, Lars; Klever, Maren; Krämer, Sebastian Quasi-orthogonalization for alternating non-negative tensor factorization. (English) Zbl 1543.65048 ETNA, Electron. Trans. Numer. Anal. 62, 22-57 (2024). MSC: 65F25 15A23 15A72 65K05 90C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liang, Jinwen; Tian, Maozai Imputed mean tensor regression for near-sited spatial temporal data. (English) Zbl 07880714 J. Appl. Stat. 51, No. 6, 1057-1075 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jamali, Saeid Tracial cyclic Rokhlin property for automorphisms of non-unital simple \(\mathrm{C}^*\)-algebras. (English) Zbl 07880377 Iran. J. Math. Sci. Inform. 19, No. 1, 51-62 (2024). MSC: 47L65 46L06 46L35 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Rungang; Shi, Pixu; Zhang, Anru R. Guaranteed functional tensor singular value decomposition. (English) Zbl 07877136 J. Am. Stat. Assoc. 119, No. 546, 995-1007 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chuan-Long; Guo, Xiong-Wei; Yan, Xi-Hong An accelerated proximal gradient algorithm for Hankel tensor completion. (English) Zbl 07875758 J. Oper. Res. Soc. China 12, No. 2, 461-477 (2024). MSC: 90C25 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Li Syzygies of secant varieties of curves of genus 2. (English) Zbl 07873741 J. Pure Appl. Algebra 228, No. 11, Article ID 107709, 12 p. (2024). MSC: 14N07 13D02 14H60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Alconzo, Giuseppe Monomial isomorphism for tensors and applications to code equivalence problems. (English) Zbl 07873233 Des. Codes Cryptography 92, No. 7, 1961-1982 (2024). MSC: 68Q15 15A69 94B05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhuofan; Zhou, Fangting; He, Kejun; Ni, Yang Multi-way overlapping clustering by Bayesian tensor decomposition. (English) Zbl 07870188 Stat. Interface 17, No. 2, 219-230 (2024). MSC: 62-XX 62H30 62F15 × Cite Format Result Cite Review PDF Full Text: DOI
Mariano, Paolo Maria From clusters of moving molecules to continua: material elements as open systems. (English) Zbl 1544.74006 Eur. J. Mech., A, Solids 106, Article ID 105310, 15 p. (2024). MSC: 74A25 74A30 74A15 82D20 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Jian; Huang, Lin; Liu, Xiaoxia; Xie, Ning; Jiang, Qingtang; Zou, Yuru 3D Poissonian image deblurring via patch-based tensor logarithmic Schatten-\(p\) minimization. (English) Zbl 1541.94017 Inverse Probl. 40, No. 6, Article ID 065010, 28 p. (2024). MSC: 94A08 92C55 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Huiwen; Lou, Yifei; Tian, Guoliang; Wang, Chao A scale-invariant relaxation in low-rank tensor recovery with an application to tensor completion. (English) Zbl 07866565 SIAM J. Imaging Sci. 17, No. 1, 756-783 (2024). MSC: 68Q25 68R10 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Mamonov, Alexander V.; Olshanskii, Maxim A. Tensorial parametric model order reduction of nonlinear dynamical systems. (English) Zbl 1541.65107 SIAM J. Sci. Comput. 46, No. 3, A1850-A1878 (2024). MSC: 65M60 65M06 65N30 65M22 65F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Chuanfu; Yang, Chao RA-HOOI: rank-adaptive higher-order orthogonal iteration for the fixed-accuracy low multilinear-rank approximation of tensors. (English) Zbl 1545.65202 Appl. Numer. Math. 201, 290-300 (2024). MSC: 65F99 15A69 65F55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Bo; Wu, Jian-Sheng; Huang, Wei; Zheng, Wei-Shi Cluster structure augmented deep nonnegative matrix factorization with low-rank tensor learning. (English) Zbl 07854217 Inf. Sci. 670, Article ID 120585, 18 p. (2024). MSC: 68-XX 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Cai, HanQin; Chao, Zehan; Huang, Longxiu; Needell, Deanna Robust tensor CUR decompositions: rapid low-Tucker-rank tensor recovery with sparse corruptions. (English) Zbl 07851430 SIAM J. Imaging Sci. 17, No. 1, 225-247 (2024). MSC: 62H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chooi, Wai Leong; Lau, Jinting; Lim, Ming Huat Adjacency preserving maps between tensor spaces. (English) Zbl 07850923 Linear Algebra Appl. 694, 307-334 (2024). MSC: 15A03 15A04 15A69 15A86 × Cite Format Result Cite Review PDF Full Text: DOI
Draisma, Jan Erratum to: “A counterexample to Comon’s conjecture”. (English) Zbl 07849883 SIAM J. Appl. Algebra Geom. 8, No. 1, 225 (2024). MSC: 15A03 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Xuemei; Zhou, Fei; Ren, Zhenwen; Wang, Xueyuan; You, Xiaojian View-specific anchors coupled tensorial bipartite graph learning for incomplete multi-view clustering. (English) Zbl 07842988 Inf. Sci. 664, Article ID 120335, 18 p. (2024). MSC: 68-XX 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Doyoung Degree of the 3-secant variety. (English) Zbl 07842170 J. Pure Appl. Algebra 228, No. 9, Article ID 107668, 15 p. (2024). MSC: 14N07 14C25 14N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghahremani, Behzad; Babaee, Hessam A DEIM Tucker tensor cross algorithm and its application to dynamical low-rank approximation. (English) Zbl 1539.65058 Comput. Methods Appl. Mech. Eng. 423, Article ID 116879, 17 p. (2024). MSC: 65F99 15A69 65F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minster, Rachel; Li, Zitong; Ballard, Grey Parallel randomized Tucker decomposition algorithms. (English) Zbl 1537.65053 SIAM J. Sci. Comput. 46, No. 2, A1186-A1213 (2024). MSC: 65F99 15A69 65F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aksoy, Doruk; Gorsich, David J.; Veerapaneni, Shravan; Gorodetsky, Alex A. An incremental tensor train decomposition algorithm. (English) Zbl 1537.65043 SIAM J. Sci. Comput. 46, No. 2, A1047-A1075 (2024). MSC: 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petrov, Sergey Constructing low-rank Tucker tensor approximations using generalized completion. (English) Zbl 1537.65045 Russ. J. Numer. Anal. Math. Model. 39, No. 2, 113-119 (2024). MSC: 65F55 15A23 15A69 15A83 × Cite Format Result Cite Review PDF Full Text: DOI
Chooi, Wai Leong; Lau, Jinting Adjacency preserving maps on symmetric tensors. (English) Zbl 1539.15005 Linear Algebra Appl. 690, 27-58 (2024). Reviewer: Hayden Julius (Cleveland) MSC: 15A04 15A03 15A69 15A21 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Baohua Conjugate gradient-type method for the tensor linear system via the T-product and its application in the calculation of Moore-Penrose inverse. (English) Zbl 1545.65132 Appl. Math. Comput. 472, Article ID 128627, 18 p. (2024). MSC: 65F10 15A09 15A69 65F55 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Baiheng; Wu, Xuedong; Wang, Yaonan; Zhu, Zhiyu Modified hybrid B-spline estimation based on spatial regulator tensor network for Burger equation with nonlinear fractional calculus. (English) Zbl 1540.65045 Math. Comput. Simul. 220, 253-275 (2024). MSC: 65D07 35R11 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Chenjian; Ling, Chen; He, Hongjin; Qi, Liqun; Xu, Yanwei A low-rank and sparse enhanced Tucker decomposition approach for tensor completion. (English) Zbl 1545.65192 Appl. Math. Comput. 465, Article ID 128432, 15 p. (2024). MSC: 65F55 15A69 90C25 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nash, Oliver A note on secant-defective varieties and Clifford modules. (English) Zbl 07830950 Mediterr. J. Math. 21, No. 1, Paper No. 28, 10 p. (2024). MSC: 14N07 14N05 53A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christandl, Matthias; Gesmundo, Fulvio; Lysikov, Vladimir; Steffan, Vincent Partial degeneration of tensors. (English) Zbl 1537.15027 SIAM J. Matrix Anal. Appl. 45, No. 1, 771-800 (2024). MSC: 15A69 14N07 68Q15 81P45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, Xianpeng; Yang, Yuning Practical approximation algorithms for \(\ell_1\)-regularized sparse rank-1 approximation to higher-order tensors. (English) Zbl 1543.90310 Optim. Lett. 18, No. 3, 767-781 (2024). MSC: 90C59 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riffaud, Sébastien; Fernández, Miguel A.; Lombardi, Damiano A low-rank solver for parameter estimation and uncertainty quantification in time-dependent systems of partial differential equations. (English) Zbl 1535.65167 J. Sci. Comput. 99, No. 2, Paper No. 34, 31 p. (2024). MSC: 65M22 65N30 65N35 65M75 65C05 65C40 62C10 65F20 65F55 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Ferguson, Andrew; Ottaviani, Giorgio; Safey el Din, Mohab; Teixeira Turatti, Ettore On the degree of varieties of sum of squares. (English) Zbl 07821460 J. Pure Appl. Algebra 228, No. 7, Article ID 107638, 15 p. (2024). MSC: 14N07 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachmayr, Markus; Faldum, Manfred A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations. (English) Zbl 1535.65247 J. Complexity 82, Article ID 101839, 70 p. (2024). MSC: 65M99 65T60 35K10 41A25 46B28 65F08 65B05 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lampert, Amichai; Ziegler, Tamar Relative rank and regularization. (English) Zbl 1546.11015 Forum Math. Sigma 12, Paper No. e29, 26 p. (2024). MSC: 11B30 11T06 13F20 14N07 15A03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bocci, Cristiano; Carlini, Enrico Hadamard products of projective varieties. (English) Zbl 07819826 Frontiers in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-54262-6/pbk; 978-3-031-54263-3/ebook). xix, 243 p. (2024). MSC: 14-02 14N05 14N07 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Weilin; Lam, Clifford Rank and factor loadings estimation in time series tensor factor model by pre-averaging. (English) Zbl 1539.62177 Ann. Stat. 52, No. 1, 364-391 (2024). MSC: 62H25 62H12 62M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kazhdan, David; Lampert, Amichai; Polishchuk, Alexander Schmidt rank and singularities. (English) Zbl 1545.14050 Ukr. Math. J. 75, No. 9, 1420-1442 (2024); and Ukr. Mat. Zh. 75, No. 9, 1248-1266 (2023). Reviewer: Pasha Zusmanovich (Ostrava) MSC: 14N07 15A72 12E05 14J17 14N20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwa, Kiam Heong Coherence invariant maps on order-3 symmetric tensors. (English) Zbl 1534.15027 Linear Multilinear Algebra 72, No. 4, 597-614 (2024). MSC: 15A69 15A21 15A03 15A04 × Cite Format Result Cite Review PDF Full Text: DOI
González Nevado, Alejandro; Teixeira Turatti, Ettore Binary forms of suprageneric rank and the multiple root loci. (English) Zbl 1545.14049 Commun. Algebra 52, No. 2, 466-472 (2024). Reviewer: Maria Chiara Brambilla (Ancona) MSC: 14N07 14N05 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shitov, Yaroslav More on tensors with different rank and symmetric rank. (English) Zbl 1533.15003 SIAM J. Matrix Anal. Appl. 45, No. 1, 419-428 (2024). MSC: 15A03 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Lau, Jinting; Lim, Ming Huat Adjacency preserving maps between exterior powers of vector spaces. (English) Zbl 1535.15028 Linear Algebra Appl. 686, 83-101 (2024). Reviewer: John D. Dixon (Ottawa) MSC: 15A72 15A04 15A03 05C50 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Tianchi; Yang, Jinghua; Chen, Chuan; Zheng, Zibin A neural tensor decomposition model for high-order sparse data recovery. (English) Zbl 07804493 Inf. Sci. 658, Article ID 120024, 18 p. (2024). MSC: 68-XX 94-XX × Cite Format Result Cite Review PDF Full Text: DOI