Modewise Johnson–Lindenstrauss embeddings for nuclear many-body theory

Zare, A.; Wirth, R.; Haselby, C. A.; Hergert, H.; Iwen, M.

doi:10.1140/epja/s10050-023-00999-5

Modewise Johnson–Lindenstrauss embeddings for nuclear many-body theory

Journal Article · 01 May 2023 · European Physical Journal. A, Hadrons and Nuclei (Online)

DOI:https://doi.org/10.1140/epja/s10050-023-00999-5· OSTI ID:2420662

^[1]; ; Haselby, C. A.; ; Iwen, M.

OSTI

Not provided.

Research Organization:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0017887; SC0018083

OSTI ID:: 2420662

Journal Information:: European Physical Journal. A, Hadrons and Nuclei (Online), Journal Name: European Physical Journal. A, Hadrons and Nuclei (Online) Journal Issue: 5 Vol. 59; ISSN 1434-601X

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

References (65)

Basis Sets in Quantum Chemistry Nagy, Balazs; Jensen, Frank Reviews in Computational Chemistry https://doi.org/10.1002/9781119356059.ch3	book	January 2017
Efficient singular‐value decomposition of the coupled‐cluster triple excitation amplitudes Lesiuk, Michal Journal of Computational Chemistry, Vol. 40, Issue 12 https://doi.org/10.1002/jcc.25788	journal	February 2019
An elementary proof of a theorem of Johnson and Lindenstrauss Dasgupta, Sanjoy; Gupta, Anupam Random Structures and Algorithms, Vol. 22, Issue 1 https://doi.org/10.1002/rsa.10073	journal	November 2002
Tensor rank is NP-complete Håstad, Johan Journal of Algorithms, Vol. 11, Issue 4 https://doi.org/10.1016/0196-6774(90)90014-6	journal	December 1990
Centre of mass motion and single particle separation energies in Hartree-Fock theory Khadkikar, S. B.; Kamble, V. B. Nuclear Physics A, Vol. 225, Issue 2 https://doi.org/10.1016/0375-9474(74)90545-4	journal	June 1974
Database-friendly random projections: Johnson-Lindenstrauss with binary coins Achlioptas, Dimitris Journal of Computer and System Sciences, Vol. 66, Issue 4 https://doi.org/10.1016/S0022-0000(03)00025-4	journal	June 2003
Treatment of the intrinsic Hamiltonian in particle-number nonconserving theories Hergert, H.; Roth, R. Physics Letters B, Vol. 682, Issue 1 https://doi.org/10.1016/j.physletb.2009.10.100	journal	November 2009
Hartree–Fock many-body perturbation theory for nuclear ground-states Tichai, Alexander; Langhammer, Joachim; Binder, Sven Physics Letters B, Vol. 756 https://doi.org/10.1016/j.physletb.2016.03.029	journal	May 2016
Low-rank matrix decompositions for ab initio nuclear structure Tichai, A.; Arthuis, P.; Hebeler, K. Physics Letters B, Vol. 821 https://doi.org/10.1016/j.physletb.2021.136623	journal	October 2021
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei Hergert, H.; Bogner, S. K.; Morris, T. D. Physics Reports, Vol. 621 https://doi.org/10.1016/j.physrep.2015.12.007	journal	March 2016
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
High-Dimensional Probability: An Introduction with Applications in Data Science Vershynin, Roman https://doi.org/10.1017/9781108231596	book	September 2018
Many – Body Methods in Chemistry and Physics Shavitt, Isaiah; Bartlett, Rodney J. https://doi.org/10.1017/CBO9780511596834	book	January 2009
Near-Exact CCSDT Energetics from Rank-Reduced Formalism Supplemented by Non-iterative Corrections Lesiuk, Michał Journal of Chemical Theory and Computation, Vol. 17, Issue 12 https://doi.org/10.1021/acs.jctc.1c00933	journal	December 2021
Implementation of the Coupled-Cluster Method with Single, Double, and Triple Excitations using Tensor Decompositions Lesiuk, Michał Journal of Chemical Theory and Computation, Vol. 16, Issue 1 https://doi.org/10.1021/acs.jctc.9b00985	journal	November 2019
Ab initio predictions link the neutron skin of 208Pb to nuclear forces Hu, Baishan; Jiang, Weiguang; Miyagi, Takayuki Nature Physics, Vol. 18, Issue 10 https://doi.org/10.1038/s41567-022-01715-8	journal	August 2022
Normal order and extended Wick theorem for a multiconfiguration reference wave function Kutzelnigg, Werner; Mukherjee, Debashis The Journal of Chemical Physics, Vol. 107, Issue 2 https://doi.org/10.1063/1.474405	journal	July 1997
Tensor-structured coupled cluster theory Schutski, Roman; Zhao, Jinmo; Henderson, Thomas M. The Journal of Chemical Physics, Vol. 147, Issue 18 https://doi.org/10.1063/1.4996988	journal	November 2017
Rank reduced coupled cluster theory. I. Ground state energies and wavefunctions Parrish, Robert M.; Zhao, Yao; Hohenstein, Edward G. The Journal of Chemical Physics, Vol. 150, Issue 16 https://doi.org/10.1063/1.5092505	journal	April 2019
Rank reduced coupled cluster theory. II. Equation-of-motion coupled-cluster singles and doubles Hohenstein, Edward G.; Zhao, Yao; Parrish, Robert M. The Journal of Chemical Physics, Vol. 151, Issue 16 https://doi.org/10.1063/1.5121867	journal	October 2019
Rank-reduced coupled-cluster. III. Tensor hypercontraction of the doubles amplitudes Hohenstein, Edward G.; Fales, B. Scott; Parrish, Robert M. The Journal of Chemical Physics, Vol. 156, Issue 5 https://doi.org/10.1063/5.0077770	journal	February 2022
Unified ab initio approaches to nuclear structure and reactions Navrátil, Petr; Quaglioni, Sofia; Hupin, Guillaume Physica Scripta, Vol. 91, Issue 5 https://doi.org/10.1088/0031-8949/91/5/053002	journal	April 2016
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
In-medium similarity renormalization group for closed and open-shell nuclei Hergert, H. Physica Scripta, Vol. 92, Issue 2 https://doi.org/10.1088/1402-4896/92/2/023002	journal	December 2016
Extensions of Lipschitz mappings into a Hilbert space Johnson, William B.; Lindenstrauss, Joram Conference on Modern Analysis and Probability https://doi.org/10.1090/conm/026/737400	book	January 1984
Charge radii of exotic neon and magnesium isotopes Novario, S. J.; Hagen, G.; Jansen, G. R. Physical Review C, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevC.102.051303	journal	November 2020
Natural orbitals for many-body expansion methods Hoppe, J.; Tichai, A.; Heinz, M. Physical Review C, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevC.103.014321	journal	January 2021
Singular value decomposition and similarity renormalization group evolution of nuclear interactions Zhu, B.; Wirth, R.; Hergert, H. Physical Review C, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevC.104.044002	journal	October 2021
Converged ab initio calculations of heavy nuclei Miyagi, T.; Stroberg, S. R.; Navrátil, P. Physical Review C, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevC.105.014302	journal	January 2022
Gorkov algebraic diagrammatic construction formalism at third order Barbieri, Carlo; Duguet, Thomas; Somà, Vittorio Physical Review C, Vol. 105, Issue 4 https://doi.org/10.1103/PhysRevC.105.044330	journal	April 2022
Angular-momentum projection in coupled-cluster theory: Structure of Mg34 Hagen, G.; Novario, S. J.; Sun, Z. H. Physical Review C, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevC.105.064311	journal	June 2022
Least-square approach for singular value decompositions of scattering problems Tichai, A.; Arthuis, P.; Hebeler, K. Physical Review C, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevC.106.024320	journal	August 2022
Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei Hebeler, K.; Durant, V.; Hoppe, J. Physical Review C, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevC.107.024310	journal	February 2023
Few-nucleon systems in a translationally invariant harmonic oscillator basis Navrátil, P.; Kamuntavičius, G. P.; Barrett, B. R. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.044001	journal	March 2000
Low-momentum interaction in few-nucleon systems Nogga, Andreas; Bogner, Scott K.; Schwenk, Achim Physical Review C, Vol. 70, Issue 6 https://doi.org/10.1103/PhysRevC.70.061002	journal	December 2004
Spectra and binding energy predictions of chiral interactions for Li 7 Nogga, A.; Navrátil, P.; Barrett, B. R. Physical Review C, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevC.73.064002	journal	June 2006
Coupled-cluster theory for three-body Hamiltonians Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034302	journal	September 2007
Improved nuclear matter calculations from chiral low-momentum interactions Hebeler, K.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.031301	journal	March 2011
Spectra of open-shell nuclei with Padé-resummed degenerate perturbation theory Langhammer, Joachim; Roth, Robert; Stumpf, Christina Physical Review C, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevC.86.054315	journal	November 2012
Open-shell nuclei and excited states from multireference normal-ordered Hamiltonians Gebrerufael, Eskendr; Calci, Angelo; Roth, Robert Physical Review C, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevC.93.031301	journal	March 2016
Tensor-decomposition techniques for ab initio nuclear structure calculations: From chiral nuclear potentials to ground-state energies Tichai, A.; Schutski, R.; Scuseria, G. E. Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034320	journal	March 2019
Natural orbitals for ab initio no-core shell model calculations Tichai, Alexander; Müller, Julius; Vobig, Klaus Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.034321	journal	March 2019
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions Roth, Robert; Binder, Sven; Vobig, Klaus Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.052501	journal	July 2012
Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of Ca 48 Yao, J. M.; Bally, B.; Engel, J. Physical Review Letters, Vol. 124, Issue 23 https://doi.org/10.1103/PhysRevLett.124.232501	journal	June 2020
Ab Initio Limits of Atomic Nuclei Stroberg, S. R.; Holt, J. D.; Schwenk, A. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.022501	journal	January 2021
Modern Nuclear Force Predictions for the α Particle Nogga, A.; Kamada, H.; Glöckle, W. Physical Review Letters, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevLett.85.944	journal	July 2000
Tensor Decompositions and Applications Kolda, Tamara G.; Bader, Brett W. SIAM Review, Vol. 51, Issue 3 https://doi.org/10.1137/07070111X	journal	August 2009
Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions Halko, N.; Martinsson, P. G.; Tropp, J. A. SIAM Review, Vol. 53, Issue 2 https://doi.org/10.1137/090771806	journal	January 2011
New and Improved Johnson–Lindenstrauss Embeddings via the Restricted Isometry Property Krahmer, Felix; Ward, Rachel SIAM Journal on Mathematical Analysis, Vol. 43, Issue 3 https://doi.org/10.1137/100810447	journal	January 2011
A Practical Randomized CP Tensor Decomposition Battaglino, Casey; Ballard, Grey; Kolda, Tamara G. SIAM Journal on Matrix Analysis and Applications, Vol. 39, Issue 2 https://doi.org/10.1137/17M1112303	journal	January 2018
Low-Rank Tucker Approximation of a Tensor from Streaming Data Sun, Yiming; Guo, Yang; Luo, Charlene SIAM Journal on Mathematics of Data Science, Vol. 2, Issue 4 https://doi.org/10.1137/19M1257718	journal	January 2020
Lower Memory Oblivious (Tensor) Subspace Embeddings with Fewer Random Bits: Modewise Methods for Least Squares Iwen, Mark A.; Needell, Deanna; Rebrova, Elizaveta SIAM Journal on Matrix Analysis and Applications, Vol. 42, Issue 1 https://doi.org/10.1137/19M1308116	journal	January 2021
Symmetry reduction of tensor networks in many-body theory: I. Automated symbolic evaluation of SU(2) algebra Tichai, A.; Wirth, R.; Ripoche, J. The European Physical Journal A, Vol. 56, Issue 10 https://doi.org/10.1140/epja/s10050-020-00233-6	journal	October 2020
Multi-reference many-body perturbation theory for nuclei: I. Novel PGCM-PT formalism Frosini, M.; Duguet, T.; Ebran, J. -P. The European Physical Journal A, Vol. 58, Issue 4 https://doi.org/10.1140/epja/s10050-022-00692-z	journal	April 2022
Multi-reference many-body perturbation theory for nuclei: II. Ab initio study of neon isotopes via PGCM and IM-NCSM calculations Frosini, M.; Duguet, T.; Ebran, J. -P. The European Physical Journal A, Vol. 58, Issue 4 https://doi.org/10.1140/epja/s10050-022-00693-y	journal	April 2022
Multi-reference many-body perturbation theory for nuclei: III. Ab initio calculations at second order in PGCM-PT Frosini, M.; Duguet, T.; Ebran, J. -P. The European Physical Journal A, Vol. 58, Issue 4 https://doi.org/10.1140/epja/s10050-022-00694-x	journal	April 2022
Nuclear theory and science of the facility for rare isotope beams Balantekin, A. B.; Carlson, J.; Dean, D. J. Modern Physics Letters A, Vol. 29, Issue 11 https://doi.org/10.1142/S0217732314300109	journal	April 2014
Nonempirical Interactions for the Nuclear Shell Model: An Update Stroberg, S. Ragnar; Hergert, Heiko; Bogner, Scott K. Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1 https://doi.org/10.1146/annurev-nucl-101917-021120	journal	October 2019
Computational Advertising: Techniques for Targeting Relevant Ads Woodruff, David P. Foundations and Trends® in Theoretical Computer Science, Vol. 10, Issue 1-2 https://doi.org/10.1561/0400000060	journal	January 2014
Randomized Algorithms for Matrices and Data Boyd, Michael W. Mahoney Foundations and Trends® in Machine Learning, Vol. 3, Issue 2 https://doi.org/10.1561/2200000035	journal	January 2010
Many-Body Perturbation Theories for Finite Nuclei Tichai, Alexander; Roth, Robert; Duguet, Thomas Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00164	journal	June 2020
Self-Consistent Green's Function Theory for Atomic Nuclei Somà, Vittorio Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00340	journal	September 2020
A Guided Tour of ab initio Nuclear Many-Body Theory Hergert, Heiko Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00379	journal	October 2020
Green's Function Techniques for Infinite Nuclear Systems Rios, Arnau Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00387	journal	October 2020

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