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The Atomic Cluster Expansion (ACE) provides a formally complete basis for the local atomic environment. ACE is not limited to representing energies as a function of atomic positions and chemical species, but can be generalized to vectorial…

Materials Science · Physics 2023-05-25 Matteo Rinaldi , Matous Mrovec , Anton Bochkarev , Yury Lysogorskiy , Ralf Drautz

The description of electronic exchange--correlation effects is of paramount importance for many applications in physics, chemistry, and beyond. In a recent Letter, Dornheim \textit{et al.} [\textit{Phys. Rev. Lett.}~\textbf{125}, 235001…

Plasma Physics · Physics 2021-04-07 Tobias Dornheim , Zhandos A. Moldabekov , Panagiotis Tolias

Without the use of any empirical fitting to experimental or high-level ab initio data, we present a double-hybrid density functional approximation for the exchange-correlation energy, combining the exact Hartree-Fock exchange and…

Chemical Physics · Physics 2015-06-04 Jeng-Da Chai , Shan-Ping Mao

Gradient compression alleviates expensive communication in distributed deep learning by sending fewer values and its corresponding indices, typically via Allgather (AG). Training with high compression ratio (CR) achieves high accuracy like…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Sahil Tyagi , Martin Swany

Fixed representational capacity is a fundamental constraint in continual learning: practitioners must guess an appropriate model width before training, without knowing how many distinct concepts the data contains. We propose LACE…

Machine Learning · Computer Science 2026-03-31 Shivnath Tathe

In this paper we calculated the elastic constants of $\gamma Ce$. The calculations were performed self-consistently using the full potential augmented plane wave plus local orbital (FP-APW+lo) method. We used the generalized gradient…

Materials Science · Physics 2007-05-23 P. Rezaeian , S. Jalali Asadabadi , H. Amini

We describe an all-electron $G_0W_0$ implementation for periodic systems with $k$-point sampling implemented in a crystalline Gaussian basis. Our full-frequency $G_0W_0$ method relies on efficient Gaussian density fitting integrals and…

Materials Science · Physics 2021-04-08 Tianyu Zhu , Garnet Kin-Lic Chan

Atomic cluster expansion (ACE) methods provide a systematic way to describe particle local environments of arbitrary body order. For practical applications it is often required that the basis of cluster functions be symmetrized with respect…

Materials Science · Physics 2024-02-27 James M. Goff , Charles Sievers , Mitchell A. Wood , Aidan P. Thompson

A well-designed numerical method for the shallow water equations (SWE) should ensure well-balancedness, nonnegativity of water heights, and entropy stability. For a continuous finite element discretization of a nonlinear hyperbolic system…

Numerical Analysis · Mathematics 2022-07-18 Hennes Hajduk , Dmitri Kuzmin

This paper proposes a new method to provide the exponential convergence of both the parameter and tracking errors of the composite adaptive control system without the persistent excitation (PE) requirement. Instead, the derived composite…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Anton Glushchenko , Vladislav Petrov , Konstantin Lastochkin

We present an implementation of the Heyd-Scuseria-Ernzerhof (HSE) hybrid functional within the full-potential linearized augmented-plane-wave (FLAPW) method. Pivotal to the HSE functional is the screened electron-electron interaction, which…

Materials Science · Physics 2011-11-11 Martin Schlipf , Markus Betzinger , Christoph Friedrich , Marjana Ležaić , Stefan Blügel

In this paper, a self-adaptive contractive (SAC) algorithm is proposed for enhanced dynamic phasor estimation in the diverse operating conditions of modern power systems. At a high-level, the method is composed of three stages: parameter…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Francisco Messina , Pablo Marchi , Leonardo Rey Vega , Cecilia Galarza

We perform nanoindentation simulations for both the prototypical face-centered cubic metal copper and the body-centered cubic metal tungsten with a new adaptive-precision description of interaction potentials including different accuracy…

Materials Science · Physics 2025-09-30 David Immel , Matous Mrovec , Ralf Drautz , Godehard Sutmann

Covariate adjustment is a ubiquitous method used to estimate the average treatment effect (ATE) from observational data. Assuming a known graphical structure of the data generating model, recent results give graphical criteria for optimal…

Statistics Theory · Mathematics 2025-12-08 Alexander Mangulad Christgau , Anton Rask Lundborg , Niels Richard Hansen

Accurate calculations of strongly correlated materials remain a formidable challenge in condensed matter physics, particularly due to the computational demand of conventional methods. This paper presents an efficient solver for dynamical…

Strongly Correlated Electrons · Physics 2025-12-04 Basile Herzog , Patrik Thunström , Olle Eriksson

We present an efficient algorithm for the all-electron periodic Coulomb matrix based on the Ewald summation combined with the Fourier-transformed Coulomb method. The short-range contributions involving compact densities are evaluated in…

Chemical Physics · Physics 2025-09-23 Hieu Q. Dinh , Adam Rettig , Xintian Feng , Joonho Lee

We evaluate the accuracy of electron densities and quasiparticle energy gaps given by hybrid functionals by directly comparing these to the exact quantities obtained from solving the many-electron Schrodinger equation. We determine the…

Materials Science · Physics 2021-01-15 A. R. Elmaslmane , Jack Wetherell , M. J. P. Hodgson , K. P. McKenna , R. W. Godby

While the exact total energy of a separated open system varies linearly as a function of average electron number between adjacent integers, the energy predicted by semi-local density functional approximations curves upward and the…

In next-generation wireless communications systems, accurate sparse channel estimation (SCE) is required for coherent detection. This paper studies SCE in terms of adaptive filtering theory, which is often termed as adaptive channel…

Information Theory · Computer Science 2015-02-02 Chen Ye , Guan Gui , Li Xu , Nobuhiro Shimoi

Accurately solving phase interface plays a great role in modeling immiscible multiphase flow system. In this letter, we propose an accurate interface-capturing lattice Boltzmann method from the perspective of the modified Allen-Cahn…

Computational Physics · Physics 2023-02-22 Hong Liang