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The one-dimensional contact process is analyzed by a cluster approximation. In this approach, the hierarchy of rate equations for the densities of finite length empty intervals are truncated under the assumption that adjacent intervals are…

Condensed Matter · Physics 2009-10-22 E. Ben-Naim , P. L. Krapivsky

The cluster perturbation theory (CPT) is one of the simplest but systematic quantum cluster approaches to lattice models of strongly correlated electrons with local interactions. By treating the inter-cluster potential, in addition to the…

Strongly Correlated Electrons · Physics 2011-05-27 Matthias Balzer , Michael Potthoff

Ensemble clustering integrates a set of base clustering results to generate a stronger one. Existing methods usually rely on a co-association (CA) matrix that measures how many times two samples are grouped into the same cluster according…

Machine Learning · Computer Science 2023-02-24 Yuheng Jia , Sirui Tao , Ran Wang , Yongheng Wang

Background: In settings where proof-of-principle trials have succeeded but the effectiveness of different forms of implementation remains uncertain, trials that not only generate information about intervention effects but also provide…

Quantitative Methods · Quantitative Biology 2017-05-16 Guy Harling , Rui Wang , Jukka-Pekka Onnela , Victor De Gruttola

Subspace clustering refers to the problem of segmenting high dimensional data drawn from a union of subspaces into the respective subspaces. In some applications, partial side-information to indicate "must-link" or "cannot-link" in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Chun-Guang Li , Junjian Zhang , Jun Guo

We present a new implementation of DMRG-based tailored coupled clusters method (TCCSD), which employs the domain-based local pair natural orbital approach (DLPNO-TCCSD). Compared to the previous LPNO version of the method, the new…

Chemical Physics · Physics 2020-05-08 Jakub Lang , Andrej Antalík , Libor Veis , Jan Brandejs , Jiří Brabec , Örs Legeza , Jiří Pittner

The central problem in electronic structure theory is the computation of the eigenvalues of the electronic Hamiltonian -- an unbounded, self-adjoint operator acting on a Hilbert space of antisymmetric functions. Coupled cluster (CC)…

Numerical Analysis · Mathematics 2023-01-30 Muhammad Hassan , Yvon Maday , Yipeng Wang

Traditionally, interatomic potentials assume local bond formation supplemented by long-range electrostatic interactions when necessary. This ignores intermediate range multi-atom interactions that arise from the relaxation of the electronic…

Materials Science · Physics 2022-11-07 Anton Bochkarev , Yury Lysogorskiy , Christoph Ortner , Gábor Csányi , Ralf Drautz

In Phys. Rev. D 103, L111303 (2021), we had reported an improved calculation of the nuclear spin-independent parity violating electric dipole transition amplitude ($E1_{PV}$) for the $6s ~ ^2S_{1/2} - 7s ~ ^2S_{1/2}$ transition in…

High Energy Physics - Phenomenology · Physics 2022-02-09 B. K. Sahoo , B. P. Das , H. Spiesberger

We introduce a unitary coupled-cluster (UCC) ansatz termed $k$-UpCCGSD that is based on a family of sparse generalized doubles (D) operators which provides an affordable and systematically improvable unitary coupled-cluster wavefunction…

Quantum Physics · Physics 2019-01-07 Joonho Lee , William J. Huggins , Martin Head-Gordon , K. Birgitta Whaley

We present a new quantum embedding theory called dynamical configuration interaction (DCI) that combines wave function and Green's function theories. DCI captures static correlation in a correlated subspace with configuration interaction…

Chemical Physics · Physics 2019-11-21 Marc Dvorak , Dorothea Golze , Patrick Rinke

Federated learning is a novel decentralized learning architecture. During the training process, the client and server must continuously upload and receive model parameters, which consumes a lot of network transmission resources. Some…

Machine Learning · Computer Science 2025-04-14 Yan-Ann Chen , Guan-Lin Chen

Channel charting (CC) has been proposed recently to enable logical positioning of user equipments (UEs) in the neighborhood of a multi-antenna base-station solely from channel-state information (CSI). CC relies on dimensionality reduction…

Signal Processing · Electrical Eng. & Systems 2019-08-09 Pengzhi Huang , Oscar Castañeda , Emre Gönültaş , Saïd Medjkouh , Olav Tirkkonen , Tom Goldstein , Christoph Studer

Many-body simulations of quantum systems is an active field of research that involves many different methods targeting various computing platforms. Many methods commonly employed, particularly coupled cluster methods, have been adapted to…

Chemical Physics · Physics 2023-06-14 David B. Williams-Young , Norm M. Tubman , Carlos Mejuto-Zaera , Wibe A. de Jong

In this Communication, we provide numerical evidence indicating that the standard single-reference coupled-cluster (CC) energies can be calculated alternatively to its copybook definition. We demonstrate that the CC energies can be…

Quantum Physics · Physics 2023-02-15 Karol Kowalski

Single reference coupled-cluster (CC) methods for electronic excitation are based on a biorthogonal representation (bCC) of the (shifted) Hamiltonian in terms of excited CC states, also referred to as correlated excited (CE) states, and an…

Other Condensed Matter · Physics 2012-08-07 J. Schirmer , F. Mertins

We derive and implement a new way of solving coupled cluster equations with lower computational scaling. Our method is based on decomposition of both amplitudes and two electron integrals, using a combination of tensor hypercontraction and…

Chemical Physics · Physics 2020-05-14 Roman Schutski , Jinmo Zhao , Thomas M. Henderson , Gustavo E. Scuseria

We introduce and benchmark a systematically improvable route for excited-state calculations, state-specific configuration interaction ($\Delta$CI), \alert{which is a particular realization of multiconfigurational self-consistent field and…

Chemical Physics · Physics 2023-08-31 Fábris Kossoski , Pierre-François Loos

A size-extensive, converging, black-box, ab initio coupled-cluster ($\Delta$CC) ansatz is introduced that computes the energies and wave functions of stationary states from any degenerate or nondegenerate Slater-determinant references with…

Chemical Physics · Physics 2026-05-15 So Hirata

The conclusions of randomized controlled trials may be biased when the outcome of one unit depends on the treatment status of other units, a problem known as interference. In this work, we study interference in the setting of one-sided…

Methodology · Statistics 2022-11-01 Jennifer Brennan , Vahab Mirrokni , Jean Pouget-Abadie
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