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A key step in reverse engineering neural networks is to decompose them into simpler parts that can be studied in relative isolation. Linear parameter decomposition -- a framework that has been proposed to resolve several issues with current…

Machine Learning · Computer Science 2025-09-05 Lucius Bushnaq , Dan Braun , Lee Sharkey

We define a data exchange format for numerical values of Wilson coefficients of local operators parameterising low-energy effects of physics beyond the Standard Model. The format facilitates interfacing model-specific Wilson coefficient…

Estimation of the Saupe tensor is central to the determination of molecular structures from residual dipolar couplings (RDC) or chemical shift anisotropies. Assuming a given template structure, the singular value decomposition (SVD) method…

Computational Engineering, Finance, and Science · Computer Science 2016-06-23 Yuehaw Khoo , Amit Singer , David Cowburn

Mirror symmetry is one of the celebrated developments in pure mathematics that arose from an initial observation in worldsheet string constructions. The profound implications of mirror symmetry in the Effective Field Theory (EFT) limit of…

High Energy Physics - Theory · Physics 2025-05-27 Alon E. Faraggi

In this paper, we introduce Partial Information Decomposition of Features (PIDF), a new paradigm for simultaneous data interpretability and feature selection. Contrary to traditional methods that assign a single importance value, our…

Machine Learning · Computer Science 2025-11-17 Charles Westphal , Stephen Hailes , Mirco Musolesi

We propose a new method for compressing physics foundation models (PFMs) which is a new trend in AI for Science. While model compression is essential for reducing memory use and accelerating inference in large foundation models, it remains…

Machine Learning · Computer Science 2026-05-19 Chengjie Hong , Feixiang He , Yiheng Zeng , Lulu Kang , He Wang

Personalized text-to-image models such as DreamBooth require fine-tuning large-scale diffusion backbones, resulting in significant storage overhead when maintaining many subject-specific models. We present Delta-SVD, a post-hoc,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Tangyuan Zhang , Shangyu Chen , Qixiang Chen , Jianfei Cai

This note gives an overview of the tools for the precision matching of ultraviolet theories to the Standard Model effective field theory (SMEFT) at the tree level and one loop. Several semi- and fully automated codes are presented, as well…

The Singular Value Decomposition (SVD) of matrices is a widely used tool in scientific computing. In many applications of machine learning, data analysis, signal and image processing, the large datasets are structured into tensors, for…

Numerical Analysis · Mathematics 2023-11-07 Anas El Hachimi , Khalide Jbilou , Mustapha Hached , Ahmed Ratnani

Cross-correlation function (CCF) has become the standard tool for extraction of radial-velocity and broadening information from high resolution spectra. It permits integration of information which is common to many spectral lines into one…

Astrophysics · Physics 2007-05-23 Slavek Rucinski

Recasting phenomenological Lagrangians in terms of SM effective field theory (SMEFT) provides a valuable means of connecting potential BSM physics at momenta well above the electroweak scale to experimental signatures at lower energies. In…

High Energy Physics - Phenomenology · Physics 2023-05-24 Jun Gao , MeiSen Gao , T. J. Hobbs , DianYu Liu , XiaoMin Shen

We illustrate how Bayesian reweighting can be used to incorporate the constraints provided by new measurements into a global Monte Carlo analysis of the Standard Model Effective Field Theory (SMEFT). This method, extensively applied to…

High Energy Physics - Phenomenology · Physics 2019-12-04 Samuel van Beek , Emanuele R. Nocera , Juan Rojo , Emma Slade

Large language models (LLMs) have demonstrated impressive capabilities in a wide range of downstream natural language processing tasks. Nevertheless, their considerable sizes and memory demands hinder practical deployment, underscoring the…

Computation and Language · Computer Science 2026-03-17 Haolei Bai , Siyong Jian , Tuo Liang , Yu Yin , Huan Wang

In this work, we propose a new stochastic domain decomposition method for solving steady-state partial differential equations (PDEs) with random inputs. Based on the efficiency of the Variable-separation (VS) method in simulating stochastic…

Numerical Analysis · Mathematics 2025-02-06 Liang Chen , Yaru Chen , Qiuqi Li , Zhiwen Zhang

With the enactment of privacy-preserving regulations, e.g., GDPR, federated SVD is proposed to enable SVD-based applications over different data sources without revealing the original data. However, many SVD-based applications cannot be…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-05 Di Chai , Leye Wang , Junxue Zhang , Liu Yang , Shuowei Cai , Kai Chen , Qiang Yang

Convergence of a matrix decomposition technique, the multi-field singular value decomposition (MFSVD) which efficiently analyzes nonlinear correlations by simultaneously decomposing multiple fields, is investigated. Toward applications in…

Fluid Dynamics · Physics 2024-11-08 Go Yatomi , Motoki Nakata

Recent studies have demonstrated improved skill in numerical weather prediction via the use of spatially correlated observation error covariance information in data assimilation systems. In this case, the observation weighting matrices…

Numerical Analysis · Mathematics 2022-01-05 Guannan Hu , Sarah L. Dance

There has been an increasing interest in developing efficient immersed boundary method (IBM) based on Cartesian grids, recently in the context of high-order methods. IBM based on volume penalization is a robust and easy to implement method…

Numerical Analysis · Mathematics 2021-07-22 Jiaqing Kou , Esteban Ferrer

We perform a model-independent analysis of $|\Delta b|=|\Delta d|=1$ processes to test the standard model and probe flavor patterns of new physics. Constraints on Wilson coefficients are obtained from global fits to $B^+ \to \pi^+…

High Energy Physics - Phenomenology · Physics 2023-06-07 Rigo Bause , Hector Gisbert , Marcel Golz , Gudrun Hiller

This paper presents a computer code for analyzing electroweak precision data (EWPD) in the framework of the Standard Model Effective Field Theory (SMEFT), highlights the importance of recent ATLAS and CMS precision measurements, and…

High Energy Physics - Phenomenology · Physics 2026-05-14 Hannes Mildner