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Two-component spinors are the basic ingredients for describing fermions in quantum field theory in four space-time dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman…

高能物理 - 唯象学 · 物理学 2022-05-25 Herbi K. Dreiner , Howard E. Haber , Stephen P. Martin

This paper proposes a novel Machine Learning-based approach to solve a Poisson problem with mixed boundary conditions. Leveraging Graph Neural Networks, we develop a model able to process unstructured grids with the advantage of enforcing…

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

数值分析 · 数学 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

Modern autonomous vehicle systems use complex perception and control components. These components can rapidly change during development of such systems, requiring constant re-testing. Unfortunately, high-fidelity simulations of these…

系统与控制 · 电气工程与系统科学 2023-07-14 Keyur Joshi , Chiao Hsieh , Sayan Mitra , Sasa Misailovic

A new family of Gaussian-type SIGMA basis sets, termed reduced SIGMA basis sets, is introduced and preliminarily tested. Sharing the same composition as Dunning basis sets, they enhance performance by reducing linear dependencies in large…

We consider the gauged free fermionic matrix model, for a single fermionic matrix. In the large $N$ limit this system describes a $c=1/2$ chiral fermion in $1+1$ dimensions. The Gauss' law constraint implies that to obtain a physical state,…

高能物理 - 理论 · 物理学 2019-05-01 David Berenstein , Robert de Mello Koch

Gaussian processes (GP) are attractive building blocks for many probabilistic models. Their drawbacks, however, are the rapidly increasing inference time and memory requirement alongside increasing data. The problem can be alleviated with…

机器学习 · 统计学 2012-03-19 Jarno Vanhatalo , Aki Vehtari

We develop and test a spectral-density analysis method, based on the introduction of smeared energy kernels, to extract physical information from two-point correlation functions computed numerically in lattice field theory. We apply it to a…

We review the status of radiative corrections to SUSY processes. We present the method of the on-shell renormalization for the sfermion and the chargino/neutralino system and work out the appropriate renormalization conditions. In…

高能物理 - 唯象学 · 物理学 2007-05-23 W. Majerotto

Proposed as a fundamental symmetry describing our universe, spacetime supersymmetry (SUSY) has not been discovered yet in nature. Nonetheless, it has been predicted that SUSY may emerge in low-energy physics of quantum materials such as…

强关联电子 · 物理学 2017-09-08 Zi-Xiang Li , Yi-Fan Jiang , Hong Yao

This Paper conducts a thorough simulation study to assess the effectiveness of various acceleration techniques designed to enhance the conjugate gradient algorithm, which is used for solving large linear systems to accelerate Bayesian…

统计计算 · 统计学 2025-05-06 Zhihao Zhou

We introduce Majorana Propagation, an algorithmic framework for the classical simulation of Fermionic circuits. Inspired by Pauli Propagation, Majorana Propagation operates by applying successive truncations throughout the Heisenberg…

Conjugate gradient is an efficient algorithm for solving large sparse linear systems. It has been utilized to accelerate the computation in Bayesian analysis for many large-scale problems. This article discusses the applications of…

统计方法学 · 统计学 2023-08-30 Lu Zhang

A generalization of the Fermion-Loop scheme is introduced to account for external, non-conserved, currents. Complete Dyson re-summed transitions are introduced, including the contributions from the Higgs-Kibble ghosts in the 't…

高能物理 - 唯象学 · 物理学 2009-10-31 G. Passarino

Ab-initio Monte Carlo simulations of strongly-interacting fermionic systems are plagued by the fermion sign problem, making the non-perturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of…

高能物理 - 格点 · 物理学 2024-03-05 Debasish Banerjee , Emilie Huffman

Deep Gaussian processes (DGPs) are popular surrogate models for complex nonstationary computer experiments. DGPs use one or more latent Gaussian processes (GPs) to warp the input space into a plausibly stationary regime, then use typical GP…

统计方法学 · 统计学 2025-12-23 Annie S. Booth

We study the SUSY flavor problem in the MSSM, we are namely interested in estimating the size of the SUSY flavor problem and its dependence on the MSSM parameters. For that, we made a numerical analysis randomly generating the entries of…

高能物理 - 唯象学 · 物理学 2010-02-27 J. L. Diaz-Cruz , O. Felix-Beltran , M. Gomez-Bock , R. Noriega-Papaqui , A. Rosado

In this paper two things are done. First, we propose a simple model of dynamical gauge-mediated SUSY breaking. This model incorporates a dynamical relaxation mechanism which solves the \mu-problem with no light fields beyond those of the…

高能物理 - 唯象学 · 物理学 2009-10-30 Savas Dimopoulos , Gia Dvali , Riccardo Rattazzi

Gaussian processes (GPs) are crucial in machine learning for quantifying uncertainty in predictions. However, their associated covariance matrices, defined by kernel functions, are typically dense and large-scale, posing significant…

机器学习 · 计算机科学 2025-04-02 Theresa Wagner , Tianshi Xu , Franziska Nestler , Yuanzhe Xi , Martin Stoll

Gaussian processes allow for flexible specification of prior assumptions of unknown dynamics in state space models. We present a procedure for efficient Bayesian learning in Gaussian process state space models, where the representation is…

统计计算 · 统计学 2016-04-18 Andreas Svensson , Arno Solin , Simo Särkkä , Thomas B. Schön