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There is a growing interest in characterizing circular data found in biological systems. Such data are wide ranging and varied, from signal phase in neural recordings to nucleotide sequences in round genomes. Traditional clustering…

机器学习 · 计算机科学 2023-09-19 Xiaoxiao Sun , Paul Sajda

Multicomponent systems are defined as chemical systems that require a quantum mechanical description of two or more different types of particles. Non-Born-Oppenheimer electron-nuclear interactions in molecules, electron-hole interactions in…

化学物理 · 物理学 2015-10-21 Benjamin H. Ellis , Somil Aggarwal , Arindam Chakraborty

We incorporate a solver for the fragment problem with accuracy beyond coupled cluster singles and doubles (CCSD) into the previously proposed static embedding framework, MPCC. To this end, we employ a CCSDT solver for the fragment…

化学物理 · 物理学 2026-02-16 Avijit Shee , Fabian M. Faulstich , K. Birgitta Whaley , Lin Lin , Martin Head-Gordon

The problem of orbital relaxation in computational core-hole spectroscopies, including x-ray absorption and x-ray photoionization, has long plagued linear response approaches, including equation-of-motion coupled cluster with singles and…

化学物理 · 物理学 2025-03-26 Megan E. Simons , Devin A. Matthews

We recently proposed a semi-stochastic approach to converging high-level coupled-cluster (CC) energetics, such as those obtained in the CC calculations with singles, doubles, and triples (CCSDT), in which the deterministic CC($P$;$Q$)…

化学物理 · 物理学 2022-10-06 Arnab Chakraborty , Stephen H. Yuwono , J. Emiliano Deustua , Jun Shen , Piotr Piecuch

The cyclic block coordinate descent-type (CBCD-type) methods, which performs iterative updates for a few coordinates (a block) simultaneously throughout the procedure, have shown remarkable computational performance for solving strongly…

最优化与控制 · 数学 2017-11-23 Xingguo Li , Tuo Zhao , Raman Arora , Han Liu , Mingyi Hong

An improved version of a recently developed stochastic cluster dynamics (SCD) method {[}Marian, J. and Bulatov, V. V., {\it J. Nucl. Mater.} \textbf{415} (2014) 84-95{]} is introduced as an alternative to rate theory (RT) methods for…

数据结构与算法 · 计算机科学 2016-05-04 Tuan L. Hoang , Jaime Marian , Vasily V. Bulatov , Peter Hosemann

Ab initio many-body methods address closed-shell nuclei up to mass A ~ 130 on the basis of realistic two- and three-nucleon interactions. Several routes to address open-shell nuclei are currently under investigation, including ideas which…

核理论 · 物理学 2015-07-02 Angelo Signoracci , Thomas Duguet , Gaute Hagen , Gustav Jansen

The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of alpha_s in the infrared region. Usually the value of the frozen…

高能物理 - 唯象学 · 物理学 2013-02-21 B. I. Ermolaev , M. Greco , S. I. Troyan

Contemporary deep clustering approaches often rely on either contrastive or non-contrastive techniques to acquire effective representations for clustering tasks. Contrastive methods leverage negative pairs to achieve homogenous…

机器学习 · 计算机科学 2023-11-03 Abhishek Kumar , Dong-Gyu Lee

We provide the first rigorous study of the finite-size error in the simplest and representative coupled cluster theory, namely the coupled cluster doubles (CCD) theory, for gapped periodic systems. Assuming that the CCD equations are solved…

数值分析 · 数学 2024-01-26 Xin Xing , Lin Lin

In the molecular quantum chemistry community, coupled-cluster (CC) methods are well-recognized for their systematic convergence and reliability. The extension of the theory to extended systems has been comparably recent, so that…

化学物理 · 物理学 2024-10-31 Andreas Grüneis , Evgeny Moerman , Matthias Scheffler , Tonghao Shen , Igor Ying Zhang

We recently proposed a novel approach to converging electronic energies equivalent to high-level coupled-cluster (CC) computations by combining the deterministic CC($P$;$Q$) formalism with the stochastic configuration interaction (CI) and…

化学物理 · 物理学 2021-03-23 J. Emiliano Deustua , Jun Shen , Piotr Piecuch

Stability selection (Meinshausen and Buhlmann, 2010) makes any feature selection method more stable by returning only those features that are consistently selected across many subsamples. We prove (in what is, to our knowledge, the first…

统计方法学 · 统计学 2022-01-04 Gregory Faletto , Jacob Bien

The ground state pairing correlations in finite fermionic systems are described with a high degree of accuracy within a variational approach based on a combined coupled-cluster and particle-number-projected BCS ansatz. The flexibility of…

核理论 · 物理学 2021-06-02 V. V. Baran , J. Dukelsky

The iteration dynamics of the coupled cluster equations exhibits a synergistic relationship among the cluster amplitudes. The iteration scheme may be viewed as a multivariate discrete-time propagation of nonlinearly coupled equations, which…

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

数据结构与算法 · 计算机科学 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

A dynamical formulation of coupled cluster theory is derived using a variational principle. By allowing time-dependent single-particle functions, a high degree of adaptivity is introduced, allowing complex systems to be simulated with high…

量子物理 · 物理学 2014-11-25 Simen Kvaal

We have presented the theory, implementation, and benchmark results for the one-electronic variant of spin-free exact two-component (SFX2C1e) linear response coupled cluster (LRCCSD) theory for static and dynamic polarizabilities of atoms…

化学物理 · 物理学 2024-05-31 Sudipta Chakraborty , Tamoghna Mukhopadhyay , Achintya Kumar Dutta

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…

强关联电子 · 物理学 2011-05-27 Matthias Balzer , Michael Potthoff