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We present a projection-based numerical integration technique to deal with embedded interface in finite element (FE) framework. The element cut by an embedded interface is denoted as a cut cell. We recognize elemental matrices of a cut cell…

Numerical Analysis · Mathematics 2020-05-05 Bin Liu , Rajeev Kumar Jaiman , Danielle Sweimann Tan

A template-based generic programming approach was presented in a previous paper that separates the development effort of programming a physical model from that of computing additional quantities, such as derivatives, needed for embedded…

Mathematical Software · Computer Science 2012-05-18 Roger P. Pawlowski , Eric T. Phipps , Andrew G. Salinger , Steven J. Owen , Christopher M. Siefert , Matthew L. Staten

A multiscale QM/classical approach is presented, that is able to model the optical properties of complex nanostructures composed of a molecular system adsorbed on metal nanoparticles. The latter are described by a combined…

Chemical Physics · Physics 2024-10-29 Pablo Grobas Illobre , Piero Lafiosca , Luca Bonatti , Tommaso Giovannini , Chiara Cappelli

Quantum embedding is an appealing route to fragment a large interacting quantum system into several smaller auxiliary `cluster' problems to exploit the locality of the correlated physics. In this work we critically review approaches to…

Strongly Correlated Electrons · Physics 2023-07-19 Max Nusspickel , Basil Ibrahim , George H. Booth

We present a quantum-in-quantum embedding strategy coupled to machine learning potentials to improve on the accuracy of quantum-classical hybrid models for the description of large molecules. In such hybrid models, relevant structural…

Owing to the computational complexity of electronic structure algorithms running on classical digital computers, the range of molecular systems amenable to simulation remains tightly circumscribed even after many decades of work. Quantum…

Quantum Physics · Physics 2022-05-18 Alexis Ralli , Michael I. Williams , Peter V. Coveney

Quantum computing presents a promising avenue for solving complex problems, particularly in quantum chemistry, where it could accelerate the computation of molecular properties and excited states. This work focuses on hybrid…

We present a computational study of static and dynamic linear polarizabilities in solution. We use different theoretical approaches to describe solvent effects, ranging from quantum mechanics/molecular mechanics (QM/MM) to quantum embedding…

Chemical Physics · Physics 2022-12-07 Linda Goletto , Sara Gómez , Josefine H. Andersen , Henrik Koch , Tommaso Giovannini

Transfer learning has become crucial in computer vision tasks due to the vast availability of pre-trained deep learning models. However, selecting the optimal pre-trained model from a diverse pool for a specific downstream task remains a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Xiaotong Li , Zixuan Hu , Yixiao Ge , Ying Shan , Ling-Yu Duan

The potential energy surface (PES) is crucial for interpreting a variety of chemical reaction processes. However, predicting accurate PESs with high-level electronic structure methods is a challenging task due to the high computational…

Chemical Physics · Physics 2022-06-09 Yanxian Tao , Xiongzhi Zeng , Yi Fan , Jie Liu , Zhenyu Li , Jinlong Yang

Physics-informed neural networks (PINNs) and hybrid quantum-classical extensions provide a promising framework for solving partial differential equations (PDEs) by embedding physical laws directly into the learning process. In this work, we…

Quantum Physics · Physics 2026-02-11 Ban Q. Tran , Nahid Binandeh Dehaghani , A. Pedro Aguiar , Rafal Wisniewski , Susan Mengel

Partial differential equation (PDE) models are widely used in engineering and natural sciences to describe spatio-temporal processes. The parameters of the considered processes are often unknown and have to be estimated from experimental…

Numerical Analysis · Mathematics 2016-12-21 Romana Boiger , Jan Hasenauer , Sabrina Hross , Barbara Kaltenbacher

Machine-learning-based interatomic potential energy surface (PES) models are revolutionizing the field of molecular modeling. However, although much faster than electronic structure schemes, these models suffer from costly computations via…

Computational Physics · Physics 2022-08-08 Denghui Lu , Wanrun Jiang , Yixiao Chen , Linfeng Zhang , Weile Jia , Han Wang , Mohan Chen

Bootstrap embedding (BE) is a recently developed electronic structure method that has shown great success at treating electron correlation in molecules. Here, we extend BE to treat surfaces and solids where the wave function is represented…

Strongly Correlated Electrons · Physics 2023-01-18 Oinam Romesh Meitei , Troy Van Voorhis

Quantum embedding methods have become a powerful tool to overcome deficiencies of traditional quantum modelling in materials science. However, while these are systematically improvable in principle, in practice it is rarely possible to…

Strongly Correlated Electrons · Physics 2022-11-02 Max Nusspickel , George H. Booth

Positional Encodings (PEs) are used to inject word-order information into transformer-based language models. While they can significantly enhance the quality of sentence representations, their specific contribution to language models is not…

Computation and Language · Computer Science 2023-10-20 Lihu Chen , Gaël Varoquaux , Fabian M. Suchanek

Spatial reaction-diffusion models have been employed to describe many emergent phenomena in biological systems. The modelling technique most commonly adopted in the literature implements systems of partial differential equations (PDEs),…

Quantitative Methods · Quantitative Biology 2015-10-05 Christian A. Yates , Mark B. Flegg

It remains a prime question of how to describe the optical properties of large molecular clusters accurately. Quantum chemical methods capture essential electronic details but are infeasible for entire clusters, while optical simulations…

We propose masked particle modeling (MPM) as a self-supervised method for learning generic, transferable, and reusable representations on unordered sets of inputs for use in high energy physics (HEP) scientific data. This work provides a…

High Energy Physics - Phenomenology · Physics 2024-07-12 Tobias Golling , Lukas Heinrich , Michael Kagan , Samuel Klein , Matthew Leigh , Margarita Osadchy , John Andrew Raine

Collective light-matter interactions have been used to control chemistry and energy transfer, yet accessible approaches that combine ab initio methodology with large many-body quantum optical systems are missing due to the fast increase in…

Quantum Physics · Physics 2024-08-27 Frieder Lindel , Dominik Lentrodt , Stefan Yoshi Buhmann , Christian Schäfer