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Guidance provides a simple and effective framework for posterior sampling by steering the generation process towards the desired distribution. When modeling discrete data, existing approaches mostly focus on guidance with the first-order…

Machine Learning · Computer Science 2026-04-16 Zhengyan Wan , Yidong Ouyang , Liyan Xie , Fang Fang , Hongyuan Zha , Guang Cheng

Integrated data and energy transfer (IDET) is considered as a key enabler of 6G, as it can provide both wireless energy transfer (WET) and wireless data transfer (WDT) services towards low power devices. Thanks to the extra degree of…

Information Theory · Computer Science 2025-12-19 Long Zhang , Yizhe Zhao , Halvin Yang , Guangming Liang , Jie Hu

An algorithm for determining crystal structures from diffraction data is described which does not rely on the usual Fourier-space formulations of atomicity. The new algorithm implements atomicity constraints in real-space, as well as…

Condensed Matter · Physics 2007-05-23 Veit Elser

In order to accelerate implementation of hyperelastic materials for finite element analysis, we developed an automatic numerical algorithm that only requires the strain energy function. This saves the effort on analytical derivation and…

Computational Engineering, Finance, and Science · Computer Science 2016-09-20 Yuxiang Wang , Gregory J. Gerling

We present an alternative approach for interconnecting trapped ion processor nodes by a deterministic single ion transfer out of the trap, into a free space trajectory, followed by recapture in the trapping potential. Our experimental…

Quantum Physics · Physics 2021-08-17 Felix Stopp , Henri Lehec , Ferdinand Schmidt-Kaler

Quantum algorithms to integrate nonlinear PDEs governing flow problems are challenging to discover but critical to enhancing the practical usefulness of quantum computing. We present here a near-optimal, robust, and end-to-end quantum…

A subsystem approach for obtaining electron binding energies in the valence region and apply it to the case of halide ions (X$^-$, X = F-At) in water. This approach is based on electronic structure calculations combining the relativistic…

Matched layers are commonly used in numerical simulations of wave propagation to model (semi-)infinite domains. Attenuation functions describe the damping in layers, and provide a matching of the wave impedance at the interface between the…

Computational Engineering, Finance, and Science · Computer Science 2016-02-01 Steven Vandekerckhove , Garth N. Wells , Herbert De Gersem , Koen Van Den Abeele

We present an algorithm for the optimization of a class of finite element integration loop nests. This algorithm, which exploits fundamental mathematical properties of finite element operators, is proven to achieve a locally optimal…

Mathematical Software · Computer Science 2017-05-11 Fabio Luporini , David A. Ham , Paul H. J. Kelly

We propose a simple and effective method for designing approximation formulas for weighted analytic functions. We consider spaces of such functions according to weight functions expressing the decay properties of the functions. Then, we…

Numerical Analysis · Mathematics 2018-08-31 Ken'ichiro Tanaka , Masaaki Sugihara

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

Machine-learning methods are nowadays of common use in the field of material science. For example, they can aid in optimizing the physicochemical properties of new materials, or help in the characterization of highly complex chemical…

Disordered Systems and Neural Networks · Physics 2022-11-29 Maciej J. Karcz , Luca Messina , Eiji Kawasaki , Serenah Rajaonson , Didier Bathellier , Emeric Bourasseau

Global optimization of crystal compositions is a significant yet computationally intensive method to identify stable structures within chemical space. The specific physical properties linked to a three-dimensional atomic arrangement make…

The emergence of artificial intelligence (AI) accelerators like NVIDIA Tensor Cores offers new opportunities to speed up tensor-heavy scientific computations. However, applying them to quantum chemistry is challenging due to strict accuracy…

Chemical Physics · Physics 2026-04-20 Hua Huang , Wenkai Shao , Jeff Hammond

Density fitting (DF), also known as the resolution of the identity (RI), is a widely used technique in quantum chemical calculations with various types of atomic basis sets - Gaussian-type orbitals, Slater-type orbitals, as well as…

Chemical Physics · Physics 2021-12-22 Susi Lehtola

This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy…

Numerical Analysis · Mathematics 2014-02-17 J. H. Adler , T. J. Atherton , D. B. Emerson , S. P. MacLachlan

Gaussian Process Regression-based Gaussian Approximation Potential has been used to develop machine-learned interatomic potentials having density-functional accuracy for free sodium clusters. The training data was generated from a large…

Atomic and Molecular Clusters · Physics 2023-09-19 Balasaheb J. Nagare , Sajeev Chacko , Dilip. G. Kanhere

As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we propose a topology optimization model for electrode structure…

Optimization and Control · Mathematics 2025-11-27 Jiajie Li , Xiang Ji , Shenggao Zhou , Shengfeng Zhu

A rigorous understanding of the thermodynamic properties of point defects, namely vacancies and self-interstitials, is crucial for the discovery and screening of structural materials in clean energy applications. In this work, we extend a…

Materials Science · Physics 2026-03-10 Jacob Jeffries , Hyunsoo Lee , Anter El-Azab , Enrique Martinez

We investigate the phase equilibrium problem for multicomponent mixtures under specified internal energy (U), volume (V), and mole numbers (N1,N2, . . . ,Nn), commonly known as the UVN-flash problem. While conventional phase equilibrium…

Numerical Analysis · Mathematics 2025-07-29 Pardeep Kumar , Patricio I. Rosen Esquivel