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The general idea of a stochastic gauge representation is introduced and compared with more traditional phase-space expansions, like the Wigner expansion. Stochastic gauges can be used to obtain an infinite class of positive-definite…

Soft Condensed Matter · Physics 2009-11-10 P. D. Drummond , P. Deuar

Supervised graph prediction addresses regression problems where the outputs are structured graphs. Although several approaches exist for graph-valued prediction, principled uncertainty quantification remains limited. We propose a conformal…

Machine Learning · Statistics 2026-03-30 Gabriel Melo , Thibaut de Saivre , Anna Calissano , Florence d'Alché-Buc

The present paper introduces stochastic velocity as improvement for moving particle semi-implicit (MPS) method. This improvement is to overcome energy loss caused by numerical dissipation in the basic MPS that brings about rapid decay of…

Fluid Dynamics · Physics 2013-09-16 Christian Fredy Naa , Seiro Omata , Masaki Kazama

The Pauli exclusion principle imposes an important structural constraint in cluster descriptions of light nuclei and is commonly taken into account using methods such as the Resonating Group Method (RGM), the Orthogonality Condition Model…

Nuclear Theory · Physics 2026-03-05 M. M. Nishonov

A type of iterative orthogonally accumulated projection methods for solving linear system of equations are proposed in this paper. This type of methods are applications of accumulated projection(AP) technique proposed recently by authors.…

Numerical Analysis · Mathematics 2016-08-24 Wujian Peng , Shuhua Zhang

Standard perturbative calculations of scalar-induced gravitational waves (SIGWs) have neglected nonperturbative effects in the large-amplitude regime. We develop a hybrid numerical framework to signify nonperturbative effects on the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Zhuan Ning , Zi-Yan Yuwen , Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

We show that a broad class of signal acquisition schemes can be interpreted as recording data from a signal $x$ in a space $\cal U$ (typically, though not exclusively, a space of bandlimited functions) via an orthogonal projection $w =…

Signal Processing · Electrical Eng. & Systems 2025-05-15 Nguyen T. Thao , Marek Miskowicz

Analogous to time signals that can be composed of multiple frequency functions, we use uniquely structured orthogonal spatial modes to create different beam shapes. We tailor the spatial structure by judiciously choosing a weighted…

We propose the coarse-grained spectral projection method (CGSP), a deep learning-assisted approach for tackling quantum unitary dynamic problems with an emphasis on quench dynamics. We show CGSP can extract spectral components of many-body…

Quantum Physics · Physics 2021-02-03 Pinchen Xie , Weinan E

We report an all-electron implementation of the quasiparticle self-consistent GW (QSGW) method for molecular and periodic systems within the framework of numerical atomic orbitals (NAOs), as implemented in the LibRPA software package. Our…

Materials Science · Physics 2026-05-22 Bohan Jia , Min-Ye Zhang , Ziqing Guan , Huanjing Gong , Xinguo Ren

Smoothed Particle Hydrodynamics (SPH_ is a mesh-free Lagrangian method renowned for modeling large deformations and free-surface flows, yet classical formulations remain confined to deterministic systems. We introduce Stochastic SPH…

Computational Engineering, Finance, and Science · Computer Science 2026-05-14 Mridul Tiwari , Sawan Kumar , Md Rushdie Ibne Islam , Souvik Chakraborty

This paper reviews recent advances in photonic-assisted radio-frequency arbitrary waveform generation (RF-AWG), with emphasis on programmable ultrabroadband microwave and millimeter-wave waveforms. The key enabling components in these…

Optics · Physics 2018-07-04 Amir Rashidinejad , Yihan Li , Andrew M. Weiner

Astronomical measurements are often integrated over finite exposures, which can obscure latent variability on comparable timescales. Correctly accounting for exposure integration with Gaussian Processes (GPs) in such scenarios is essential…

Instrumentation and Methods for Astrophysics · Physics 2026-05-14 Ryan A. Rubenzahl , Soichiro Hattori , Simo Särkkä , Will M. Farr , Jacob K. Luhn , Megan Bedell , Daniel Foreman-Mackey

We consider the problem of minimizing a non-convex function over a smooth manifold $\mathcal{M}$. We propose a novel algorithm, the Orthogonal Directions Constrained Gradient Method (ODCGM) which only requires computing a projection onto a…

Optimization and Control · Mathematics 2023-03-17 Sholom Schechtman , Daniil Tiapkin , Michael Muehlebach , Eric Moulines

This paper addresses the reconstruction of sparse signals from generalized linear measurements. Signal sparsity is assumed to be sublinear in the signal dimension while it was proportional to the signal dimension in conventional research.…

Information Theory · Computer Science 2026-04-13 Keigo Takeuchi

We study the spectral function of the homogeneous electron gas using many-body perturbation theory and the cumulant expansion. We compute the angle-resolved spectral function based on the GW approximation and the `GW plus cumulant'…

Materials Science · Physics 2016-11-23 Fabio Caruso , Feliciano Giustino

Phase-sensitive amplification of squeezed states is a technique to mitigate high detection loss, e.g. at 2-micrometre wavelengths. Our analytical model of amplified squeezed states expands on the effect of phase noise and derives two…

The Stochastic Weighted Particle Method (SWPM) of Rjasanow and Wagner is a generalization of the Direct Simulation Monte Carlo method for computing the probability density function of the velocities of a system of interacting particles for…

Numerical Analysis · Mathematics 2025-09-17 Matthew Goeckner , Donovan Harcey , Rainier Q Pederson , Axel Niyonzima , John Zweck

Improving multiparameter quantum estimation in magnonic systems via quantum noise suppression is a well-established and critical research objective. In this work, we propose an experimentally realistic scheme to improve the precision of…

Quantum Physics · Physics 2026-01-21 Hamza Harraf , Mohamed Amazioug , Rachid Ahl Laamara

In this paper, we first propose a novel generalized power iteration method (GPI) to solve the quadratic problem on the Stiefel manifold (QPSM) as min_{W^TW=I}Tr(W^TAW-2W^TB) along with the theoretical analysis. Accordingly, its special case…

Data Structures and Algorithms · Computer Science 2017-05-15 Feiping Nie , Rui Zhang , Xuelong Li