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Related papers: MUM: flexible precise algorithm for the muon propa…

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This thesis is focused on the implementation and the application of a novel kind of algorithm which is expected to overcome the limitations of older schemes. This new algorithm is named Multiboson Method. It allows to simulate an arbitrary…

High Energy Physics - Lattice · Physics 2009-09-29 Wolfram Schroers

Tempering is used to change the quark mass while remaining in equilibrium between the trajectories of a standard hybrid Monte Carlo simulation of four flavours of staggered fermions. The algorithm is faster for small enough quark masses,…

High Energy Physics - Lattice · Physics 2007-05-23 G. Boyd

We describe an efficient Monte Carlo algorithm for a restricted class of scattering problems in radiation transfer. This class includes many astrophysically interesting problems, including the scattering of ultraviolet and visible light by…

Astrophysics · Physics 2007-05-23 Alan M. Watson , William J. Henney

A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Huiqiong Yin , Ruibao Tao

Muon has emerged as a promising optimizer for large-scale foundation model pre-training by exploiting the matrix structure of neural network updates through iterative orthogonalization. However, its practical efficiency is limited by the…

Machine Learning · Computer Science 2026-04-14 Ziyue Liu , Ruijie Zhang , Zhengyang Wang , Yequan Zhao , Yupeng Su , Zi Yang , Zheng Zhang

Fortran's prominence in scientific computing requires strategies to ensure both that legacy codes are efficient on high-performance computing systems, and that the language remains attractive for the development of new high-performance…

Instrumentation and Methods for Astrophysics · Physics 2024-09-13 James McKevitt , Eduard I. Vorobyov , Igor Kulikov

A Monte Carlo simulation program is presented which can be used to determine the small-$x$ evolution of a heavy onium using Mueller's colour dipole formulation, giving the full distribution of dipoles in rapidity and impact parameter.…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. P. Salam

Recently, the Muon optimizer based on matrix orthogonalization has demonstrated strong results in training small-scale language models, but the scalability to larger models has not been proven. We identify two crucial techniques for scaling…

The recent observation of discrepancies in the muonic sector motivates searches for the yet undiscovered atom true muonium $(\mu^+\mu^-)$. To leverage potential experimental signals, precise theoretical calculations are required. I will…

High Energy Physics - Phenomenology · Physics 2018-08-01 Henry Lamm , Yao Ji

Matrix-structured parameters frequently appear in many artificial intelligence models such as large language models. More recently, an efficient Muon optimizer is designed for matrix parameters of large-scale models, and shows markedly…

Machine Learning · Computer Science 2026-05-20 Feihu Huang , Yuning Luo , Songcan Chen

Numerous linear and non-linear data-detection and precoding algorithms for wideband massive multi-user (MU) multiple-input multiple-output (MIMO) wireless systems that rely on orthogonal frequency-division multiplexing (OFDM) or…

Information Theory · Computer Science 2018-11-12 Charles Jeon , Zequn Li , Christoph Studer

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…

High Energy Physics - Lattice · Physics 2024-03-05 Debasish Banerjee , Emilie Huffman

The MUonE experiment aims at an independent and very precise determination of the leading hadronic contribution to the muon magnetic moment, based on an alternative method, complementary to the existing ones. This can be achieved by…

High Energy Physics - Experiment · Physics 2020-12-15 Giovanni Abbiendi

In this note, we inspect the convergence of a new optimizer for pretraining LLMs, namely the Muon optimizer. Such an optimizer is closely related to a specialized steepest descent method where the update direction is the minimizer of the…

Optimization and Control · Mathematics 2025-06-03 Jiaxiang Li , Mingyi Hong

The Muon optimizer has emerged as a compelling alternative to Adam for training large language models, achieving remarkable computational savings through gradient orthogonalization. However, Muon's optimizer state is more sensitive to…

Machine Learning · Computer Science 2026-05-13 Yupeng Su , Ruijie Zhang , Ziyue Liu , Yequan Zhao , Zheng Zhang

A Kalman filter package has been developed for reconstructing muon ($\mu^\pm$) tracks (coming from the neutrino interactions) in ICAL detector. Here, we describe the algorithm of muon track fitting, with emphasis on the error propagation of…

Instrumentation and Detectors · Physics 2015-10-13 Kolahal Bhattacharya , Arnab K. Pal , Gobinda Majumder , Naba K. Mondal

Using simulated data, obtained with the FLUKA code, we derive empirical regularities about the propagation and stopping of low-energy negative muons in hydrogen and selected solid materials. The results are intended to help the preliminary…

Instrumentation and Detectors · Physics 2016-03-28 Petar Danev , Andrzej Adamczak , Dimitar Bakalov , Emiliano Mocchiutti , Mihail Stoilov , Andrea Vacchi

In this paper, we proposed a new Monte Carlo radiative transport (MCRT) scheme, which is based completely on the Neumann series solution of Fredholm integral equation. This scheme indicates that the essence of MCRT is the calculation of…

Computational Physics · Physics 2022-11-09 Xiao-lin Yang , Jian-cheng Wang , Chu-yuan Yang

Quantum error mitigation (QEM) is a class of promising techniques capable of reducing the computational error of variational quantum algorithms tailored for current noisy intermediate-scale quantum computers. The recently proposed…

Quantum Physics · Physics 2022-05-17 Yifeng Xiong , Soon Xin Ng , Lajos Hanzo