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For: Benedikt U, Auer AA, Espig M, Hackbusch W. Tensor decomposition in post-Hartree–Fock methods. I. Two-electron integrals and MP2. J Chem Phys 2011;134:054118. [DOI: 10.1063/1.3514201] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]  Open
Number Cited by Other Article(s)
1
Yin C, Becker SB, Thorpe JH, Matthews DA. Spatial Signatures of Electron Correlation in Least-Squares Tensor Hypercontraction. J Phys Chem A 2025;129:788-802. [PMID: 39784297 DOI: 10.1021/acs.jpca.4c06666] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2025]
2
Pokhilko P, Yeh CN, Morales MA, Zgid D. Tensor hypercontraction for fully self-consistent imaginary-time GF2 and GWSOX methods: Theory, implementation, and role of the Green's function second-order exchange for intermolecular interactions. J Chem Phys 2024;161:084108. [PMID: 39185845 DOI: 10.1063/5.0215954] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2024] [Accepted: 08/05/2024] [Indexed: 08/27/2024]  Open
3
Datar A, Matthews DA. Robust Tensor Hypercontraction of the Particle-Particle Ladder Term in Equation-of-Motion Coupled Cluster Theory. J Chem Theory Comput 2024;20:708-720. [PMID: 38198505 DOI: 10.1021/acs.jctc.3c00892] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2024]
4
Cieśliński D, Tucholska AM, Modrzejewski M. Post-Kohn-Sham Random-Phase Approximation and Correction Terms in the Expectation-Value Coupled-Cluster Formulation. J Chem Theory Comput 2023;19:6619-6631. [PMID: 37774375 PMCID: PMC10569055 DOI: 10.1021/acs.jctc.3c00496] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2023] [Indexed: 10/01/2023]
5
Pierce K, Valeev EF. Efficient Construction of Canonical Polyadic Approximations of Tensor Networks. J Chem Theory Comput 2023;19:71-81. [PMID: 36484711 DOI: 10.1021/acs.jctc.2c00861] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
6
Woo J, Kim WY, Choi S. System-Specific Separable Basis Based on Tucker Decomposition: Application to Density Functional Calculations. J Chem Theory Comput 2022;18:2875-2884. [PMID: 35437014 PMCID: PMC9098162 DOI: 10.1021/acs.jctc.1c01263] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2021] [Indexed: 11/30/2022]
7
Lesiuk M. Quintic-scaling rank-reduced coupled cluster theory with single and double excitations. J Chem Phys 2022;156:064103. [DOI: 10.1063/5.0071916] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
8
Lesiuk M. Near-Exact CCSDT Energetics from Rank-Reduced Formalism Supplemented by Non-iterative Corrections. J Chem Theory Comput 2021;17:7632-7647. [PMID: 34860018 DOI: 10.1021/acs.jctc.1c00933] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
9
Datta D, Gordon MS. A Massively Parallel Implementation of the CCSD(T) Method Using the Resolution-of-the-Identity Approximation and a Hybrid Distributed/Shared Memory Parallelization Model. J Chem Theory Comput 2021;17:4799-4822. [PMID: 34279094 DOI: 10.1021/acs.jctc.1c00389] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
10
Pierce K, Rishi V, Valeev EF. Robust Approximation of Tensor Networks: Application to Grid-Free Tensor Factorization of the Coulomb Interaction. J Chem Theory Comput 2021;17:2217-2230. [PMID: 33780616 DOI: 10.1021/acs.jctc.0c01310] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
11
Matthews DA. A critical analysis of least-squares tensor hypercontraction applied to MP3. J Chem Phys 2021;154:134102. [PMID: 33832252 DOI: 10.1063/5.0038764] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
12
Calvin JA, Peng C, Rishi V, Kumar A, Valeev EF. Many-Body Quantum Chemistry on Massively Parallel Computers. Chem Rev 2020;121:1203-1231. [DOI: 10.1021/acs.chemrev.0c00006] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
13
Lesiuk M. A straightforward a posteriori method for reduction of density-fitting error in coupled-cluster calculations. J Chem Phys 2020;152:044104. [PMID: 32007079 DOI: 10.1063/1.5129883] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
14
Lesiuk M. Implementation of the Coupled-Cluster Method with Single, Double, and Triple Excitations using Tensor Decompositions. J Chem Theory Comput 2019;16:453-467. [DOI: 10.1021/acs.jctc.9b00985] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
15
Motta M, Shee J, Zhang S, Chan GKL. Efficient Ab Initio Auxiliary-Field Quantum Monte Carlo Calculations in Gaussian Bases via Low-Rank Tensor Decomposition. J Chem Theory Comput 2019;15:3510-3521. [DOI: 10.1021/acs.jctc.8b00996] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
16
Parrish RM, Zhao Y, Hohenstein EG, Martínez TJ. Rank reduced coupled cluster theory. I. Ground state energies and wavefunctions. J Chem Phys 2019;150:164118. [DOI: 10.1063/1.5092505] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
17
Lesiuk M. Efficient singular‐value decomposition of the coupled‐cluster triple excitation amplitudes. J Comput Chem 2019;40:1319-1332. [DOI: 10.1002/jcc.25788] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/13/2018] [Revised: 01/06/2019] [Accepted: 01/08/2019] [Indexed: 11/08/2022]
18
Schmitz G, Christiansen O. Assessment of the overlap metric in the context of RI-MP2 and atomic batched tensor decomposed MP2. Chem Phys Lett 2018. [DOI: 10.1016/j.cplett.2018.04.014] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
19
Madsen NK, Godtliebsen IH, Losilla SA, Christiansen O. Tensor-decomposed vibrational coupled-cluster theory: Enabling large-scale, highly accurate vibrational-structure calculations. J Chem Phys 2018;148:024103. [DOI: 10.1063/1.5001569] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
20
Schutski R, Zhao J, Henderson TM, Scuseria GE. Tensor-structured coupled cluster theory. J Chem Phys 2017;147:184113. [DOI: 10.1063/1.4996988] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
21
Wirz LN, Reine SS, Pedersen TB. On Resolution-of-the-Identity Electron Repulsion Integral Approximations and Variational Stability. J Chem Theory Comput 2017;13:4897-4906. [DOI: 10.1021/acs.jctc.7b00801] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
22
Mayhall NJ. Using Higher-Order Singular Value Decomposition To Define Weakly Coupled and Strongly Correlated Clusters: The n-Body Tucker Approximation. J Chem Theory Comput 2017;13:4818-4828. [DOI: 10.1021/acs.jctc.7b00696] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023]
23
Manthe U. Wavepacket dynamics and the multi-configurational time-dependent Hartree approach. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017;29:253001. [PMID: 28430111 DOI: 10.1088/1361-648x/aa6e96] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
24
Schmitz G, Madsen NK, Christiansen O. Atomic-batched tensor decomposed two-electron repulsion integrals. J Chem Phys 2017;146:134112. [DOI: 10.1063/1.4979571] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
25
Madsen NK, Godtliebsen IH, Christiansen O. Efficient algorithms for solving the non-linear vibrational coupled-cluster equations using full and decomposed tensors. J Chem Phys 2017;146:134110. [DOI: 10.1063/1.4979498] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
26
Böhm KH, Auer AA, Espig M. Tensor representation techniques for full configuration interaction: A Fock space approach using the canonical product format. J Chem Phys 2016;144:244102. [DOI: 10.1063/1.4953665] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
27
Jones JR, Rouet FH, Lawler KV, Vecharynski E, Ibrahim KZ, Williams S, Abeln B, Yang C, McCurdy W, Haxton DJ, Li XS, Rescigno TN. An efficient basis set representation for calculating electrons in molecules. Mol Phys 2016. [DOI: 10.1080/00268976.2016.1176262] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
28
Lötstedt E, Kato T, Yamanouchi K. Decomposition of the configuration-interaction coefficients in the multiconfiguration time-dependent Hartree-Fock method. J Chem Phys 2016;144:154111. [DOI: 10.1063/1.4947018] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
29
Brabec J, Yang C, Epifanovsky E, Krylov AI, Ng E. Reduced‐cost sparsity‐exploiting algorithm for solving coupled‐cluster equations. J Comput Chem 2016;37:1059-67. [DOI: 10.1002/jcc.24293] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/09/2015] [Revised: 10/21/2015] [Accepted: 12/17/2015] [Indexed: 01/17/2023]
30
Kállay M. A systematic way for the cost reduction of density fitting methods. J Chem Phys 2015;141:244113. [PMID: 25554139 DOI: 10.1063/1.4905005] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]  Open
31
Kokkila Schumacher SIL, Hohenstein EG, Parrish RM, Wang LP, Martínez TJ. Tensor Hypercontraction Second-Order Møller–Plesset Perturbation Theory: Grid Optimization and Reaction Energies. J Chem Theory Comput 2015;11:3042-52. [DOI: 10.1021/acs.jctc.5b00272] [Citation(s) in RCA: 47] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
32
First principles approach to the electronic structure, magnetic anisotropy and spin relaxation in mononuclear 3d-transition metal single molecule magnets. Coord Chem Rev 2015. [DOI: 10.1016/j.ccr.2014.10.015] [Citation(s) in RCA: 225] [Impact Index Per Article: 22.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
33
Godtliebsen IH, Hansen MB, Christiansen O. Tensor decomposition techniques in the solution of vibrational coupled cluster response theory eigenvalue equations. J Chem Phys 2015;142:024105. [DOI: 10.1063/1.4905160] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
34
Leclerc A, Carrington T. Calculating vibrational spectra with sum of product basis functions without storing full-dimensional vectors or matrices. J Chem Phys 2014;140:174111. [DOI: 10.1063/1.4871981] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
35
Benedikt U, Böhm KH, Auer AA. Tensor decomposition in post-Hartree–Fock methods. II. CCD implementation. J Chem Phys 2013;139:224101. [DOI: 10.1063/1.4833565] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]  Open
36
Epifanovsky E, Zuev D, Feng X, Khistyaev K, Shao Y, Krylov AI. General implementation of the resolution-of-the-identity and Cholesky representations of electron repulsion integrals within coupled-cluster and equation-of-motion methods: Theory and benchmarks. J Chem Phys 2013;139:134105. [DOI: 10.1063/1.4820484] [Citation(s) in RCA: 103] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
37
Benedikt U, Auer H, Espig M, Hackbusch W, Auer AA. Tensor representation techniques in post-Hartree–Fock methods: matrix product state tensor format. Mol Phys 2013. [DOI: 10.1080/00268976.2013.798433] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
38
Grasedyck L, Kressner D, Tobler C. A literature survey of low-rank tensor approximation techniques. ACTA ACUST UNITED AC 2013. [DOI: 10.1002/gamm.201310004] [Citation(s) in RCA: 343] [Impact Index Per Article: 28.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
39
Hoy EP, Shenvi N, Mazziotti DA. Comparison of low-rank tensor expansions for the acceleration of quantum chemistry computations. J Chem Phys 2013;139:034105. [DOI: 10.1063/1.4813495] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]  Open
40
Parker SM, Seideman T, Ratner MA, Shiozaki T. Communication: Active-space decomposition for molecular dimers. J Chem Phys 2013;139:021108. [DOI: 10.1063/1.4813827] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]  Open
41
Yachmenev A, Klopper W. A composite ‘density fitting + numerical integration’ approximation for electron-repulsion integrals. Mol Phys 2013. [DOI: 10.1080/00268976.2013.800265] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
42
Godtliebsen IH, Thomsen B, Christiansen O. Tensor Decomposition and Vibrational Coupled Cluster Theory. J Phys Chem A 2013;117:7267-79. [DOI: 10.1021/jp401153q] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
43
Peláez D, Meyer HD. The multigrid POTFIT (MGPF) method: Grid representations of potentials for quantum dynamics of large systems. J Chem Phys 2013;138:014108. [DOI: 10.1063/1.4773021] [Citation(s) in RCA: 78] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]  Open
44
Schwerdtfeger CA, Mazziotti DA. Low-rank spectral expansions of two electron excitations for the acceleration of quantum chemistry calculations. J Chem Phys 2012;137:244103. [DOI: 10.1063/1.4770278] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]  Open
45
Uemura W, Sugino O. Symmetric tensor decomposition description of fermionic many-body wave functions. PHYSICAL REVIEW LETTERS 2012;109:253001. [PMID: 23368456 DOI: 10.1103/physrevlett.109.253001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/07/2012] [Indexed: 06/01/2023]
46
Parrish RM, Hohenstein EG, Martínez TJ, Sherrill CD. Tensor hypercontraction. II. Least-squares renormalization. J Chem Phys 2012;137:224106. [DOI: 10.1063/1.4768233] [Citation(s) in RCA: 159] [Impact Index Per Article: 12.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]  Open
47
Hohenstein EG, Parrish RM, Sherrill CD, Martínez TJ. Communication: Tensor hypercontraction. III. Least-squares tensor hypercontraction for the determination of correlated wavefunctions. J Chem Phys 2012;137:221101. [DOI: 10.1063/1.4768241] [Citation(s) in RCA: 114] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
48
Hohenstein EG, Parrish RM, Martínez TJ. Tensor hypercontraction density fitting. I. Quartic scaling second- and third-order Møller-Plesset perturbation theory. J Chem Phys 2012;137:044103. [DOI: 10.1063/1.4732310] [Citation(s) in RCA: 210] [Impact Index Per Article: 16.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]  Open
49
Yang J, Chan GKL, Manby FR, Schütz M, Werner HJ. The orbital-specific-virtual local coupled cluster singles and doubles method. J Chem Phys 2012;136:144105. [DOI: 10.1063/1.3696963] [Citation(s) in RCA: 150] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]  Open
50
Limpanuparb T, Hollett JW, Gill PMW. Resolutions of the Coulomb operator. VI. Computation of auxiliary integrals. J Chem Phys 2012;136:104102. [PMID: 22423823 DOI: 10.1063/1.3691829] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]  Open
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