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Tree embedding has been a fundamental method in algorithm design with wide applications. We focus on the efficiency of building tree embedding in various computational settings under high-dimensional Euclidean $\mathbb{R}^d$. We devise a…

Data Structures and Algorithms · Computer Science 2026-01-13 Gramoz Goranci , Shaofeng H. -C. Jiang , Peter Kiss , Qihao Kong , Yi Qian , Eva Szilagyi

In this paper we present algorithms for an efficient implementation of the Localized Orthogonal Decomposition method (LOD). The LOD is a multiscale method for the numerical simulation of partial differential equations with a continuum of…

Numerical Analysis · Mathematics 2019-02-21 Christian Engwer , Patrick Henning , Axel Målqvist , Daniel Peterseim

The perturbative result for the quark-mass conversion factor between the $\overline{\mathrm{MS}}$ and regularization-independent symmetric-momentum subtraction scheme (RI/SMOM) away from the chiral limit, i.e. at non-zero quark masses…

High Energy Physics - Phenomenology · Physics 2025-11-10 Long Chen , Marco Niggetiedt

We propose a method to enhance the performance of Large Language Models (LLMs) by integrating quantum computing and quantum-inspired techniques. Specifically, our approach involves replacing the weight matrices in the Self-Attention and…

Quantum Physics · Physics 2024-10-24 Borja Aizpurua , Saeed S. Jahromi , Sukhbinder Singh , Roman Orus

We extend a new treatment proposed for two-nucleon (2N) and three-nucleon (3N) bound states to 2N scattering. This technique takes momentum vectors as variables, thus, avoiding partial wave decomposition, and handles spin operators…

Nuclear Theory · Physics 2010-05-17 I. Fachruddin , Ch. Elster , J. Golak , R. Skibinski , W. Gloeckle , H. Witala

We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed…

High Energy Physics - Phenomenology · Physics 2021-07-01 Renato Maria Prisco , Francesco Tramontano

We present a reduced-dimension, ballistic deposition, Monte Carlo particle packing algorithm and discuss its application to the analysis of the microstructure of hard-sphere systems with broad particle size distributions. We extend our…

Materials Science · Physics 2007-05-23 M. D. Webb , I. L. Davis

We describe two implementations of the optimal error correction algorithm known as the maximum likelihood decoder (MLD) for the 2D surface code with a noiseless syndrome extraction. First, we show how to implement MLD exactly in time…

Quantum Physics · Physics 2014-10-01 Sergey Bravyi , Martin Suchara , Alexander Vargo

The model reduction problem for high-order multi-input, multi-output (MIMO) polynomial nonlinear systems based on moment matching is addressed. The technique of power-series decomposition is exploited: this decomposes the solution of the…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Chao Huang , Alessandro Astolfi

A common setting for scientific inference is the ability to sample from a high-fidelity forward model (simulation) without having an explicit probability density of the data. We propose a simulation-based maximum likelihood deconvolution…

In many experimental contexts, it is necessary to statistically remove the impact of instrumental effects in order to physically interpret measurements. This task has been extensively studied in particle physics, where the deconvolution…

High Energy Physics - Phenomenology · Physics 2024-12-17 Huanbiao Zhu , Krish Desai , Mikael Kuusela , Vinicius Mikuni , Benjamin Nachman , Larry Wasserman

We present a new method for evaluating tensor integrals in the large-scale structure. Decomposing a $\Lambda$CDM-like universe into a finite sum of scaling universes using the FFTLog, we can recast loop integrals for biased tracers in the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-21 Hayden Lee

The collision of plane waves corresponding to massless states of closed string is considered in $D$-dimensional space-time. The reduced tree level effective action is known to be manifestly $O(d,d)$ invariant, $d$ being the number of…

High Energy Physics - Theory · Physics 2009-11-07 Ashok Das , J. Maharana , A. Melikyan

We describe how to disentangle the singly- and doubly-unresolved (soft and/or collinear) limits of tree-level QCD squared matrix elements. Using the factorization formulae presented in this paper, we outline a viable general subtraction…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gábor Somogyi , Zoltán Trócsányi , Vittorio Del Duca

Higher spin fields in four dimensions, and more generally conformal fields in arbitrary dimensions, can be described by spinning particle models with a gauged SO(N) extended supergravity on the worldline. We consider here the one-loop…

High Energy Physics - Theory · Physics 2010-10-27 Fiorenzo Bastianelli , Olindo Corradini , Emanuele Latini

We are concerned with employing Model Order Reduction (MOR) to efficiently solve parameterized multiscale problems using the Localized Orthogonal Decomposition (LOD) multiscale method. Like many multiscale methods, the LOD follows the idea…

Numerical Analysis · Mathematics 2023-07-13 Tim Keil , Stephan Rave

In this paper, we study a new representation-learning task, which we termed as disassembling object representations. Given an image featuring multiple objects, the goal of disassembling is to acquire a latent representation, of which each…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Zunlei Feng , Xinchao Wang , Yongming He , Yike Yuan , Xin Gao , Mingli Song

We revisit QCD calculations of radiative heavy meson decay form factors by including the subleading power corrections from the twist-two photon distribution amplitude at next-to-leading-order in $\alpha_s$ with the method of the light-cone…

High Energy Physics - Phenomenology · Physics 2020-02-11 Hua-Dong Li , Cai-Dian Lü , Chao Wang , Yu-Ming Wang , Yan-Bing Wei

Within the framework of higher-twist collinear factorization, transverse momentum broadening for the final hadrons in semi-inclusive deeply inelastic $e+A$ collisions is studied at the next-to-leading order (NLO) in perturbative QCD.…

High Energy Physics - Phenomenology · Physics 2016-12-28 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing

We investigate higher derivative corrections in M-theory by applying Noether's method. Cancellation of variations, which contain linear terms in 4-form field strength, under local supersymmetry is executed with the aid of computer…

High Energy Physics - Theory · Physics 2007-10-16 Yoshifumi Hyakutake