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Orthogonal feature decorrelation is effective for low-bit online vector quantization, but dense random orthogonal transforms incur prohibitive $O(d^2)$ storage and compute. RotorQuant reduces this cost with blockwise $3$D Clifford rotors,…

Machine Learning · Computer Science 2026-03-31 Zhongping Ji

In computational nanodosimetry, Monte Carlo Track Structure (MCTS) simulations are employed to calculate ionisation cluster size distributions (ICSDs), which are crucial for characterising mixed radiation fields at the nanoscale. The…

Computational Physics · Physics 2025-07-15 João F. Canhoto , Yann Perrot , Reinhard Schulte , Ana Belchior , Carmen Villagrasa

Computing offsets of curves on parametric surfaces is a fundamental yet challenging operation in computer aided design and manufacturing. Traditional analytical approaches suffer from time-consuming geodesic distance queries and complex…

Computational Geometry · Computer Science 2025-09-12 Jin Zhao , Pengfei Wang , Shuangmin Chen , Jiong Guo , Shiqing Xin , Changhe Tu , Wenping Wang

In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions (RBFs) as local approximants and using…

Numerical Analysis · Mathematics 2016-04-18 R. Cavoretto , A. De Rossi , E. Perracchione

Achieving accurate and robust global situational awareness of a complex time-evolving field from a limited number of sensors has been a longstanding challenge. This reconstruction problem is especially difficult when sensors are sparsely…

Fluid Dynamics · Physics 2021-11-18 Kai Fukami , Romit Maulik , Nesar Ramachandra , Koji Fukagata , Kunihiko Taira

Multiconfiguration pair-density functional theory (MC-PFDT) has previously been applied successfully to carry out ground-state and excited-state calculations. However, because it includes no interaction between electronic states, MC-PDFT…

A straightforward and computationally efficient Consecutive Cubic Spline (CCS) iterative algorithm is proposed for positioning the planar interface of the unstructured geometrical Volume-of-Fluid method in arbitrarily-shaped cells. The CCS…

Computational Physics · Physics 2025-01-08 Tomislav Maric

We extend the Geometric Refinement Transform (GRT) by introducing centroidal Voronoi tessellations (CVTs) into the refinement process, enhancing symmetry, reconstruction accuracy, and numerical stability. By applying Lloyds algorithm at…

Numerical Analysis · Mathematics 2025-03-28 Zachary Mullaghy

Compression is a crucial solution for data reduction in modern scientific applications due to the exponential growth of data from simulations, experiments, and observations. Compression with progressive retrieval capability allows users to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Zhuoxun Yang , Sheng Di , Longtao Zhang , Ruoyu Li , Ximiao Li , Jiajun Huang , Jinyang Liu , Franck Cappello , Kai Zhao

Sparse-view computed tomography (CT) is a practical solution to reduce radiation dose, but the resulting ill-posed inverse problem poses significant challenges for accurate image reconstruction. Although deep learning and diffusion-based…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Changsheng Fang , Yongtong Liu , Bahareh Morovati , Shuo Han , Yu Shi , Li Zhou , Shuyi Fan , Hengyong Yu

In this paper, we introduce the Union-Intersection Union-Find (UIUF) algorithm for decoding depolarizing errors in topological codes, combining the strengths of iterative and standard Union-Find (UF) decoding. While iterative UF improves…

Quantum Physics · Physics 2025-07-14 Tzu-Hao Lin , Ching-Yi Lai

Quantization of a probability distribution is the process of estimating a given probability by a discrete probability that assumes only a finite number of levels in its support. Centroidal Voronoi tessellations (CVT) are Voronoi…

Dynamical Systems · Mathematics 2017-04-10 Mrinal Kanti Roychowdhury

A method for 3D interpolation between hard spheres is described. The function to be interpolated could be the charge density between atoms in condensed matter. Its electrostatic potential is found analytically, and so are various integrals.…

Materials Science · Physics 2016-09-07 Yoshiro Nohara , O. K. Andersen

Although deep learning-based methods have dominated stereo matching leaderboards by yielding unprecedented disparity accuracy, their inference time is typically slow, on the order of seconds for a pair of 540p images. The main reason is…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Yiran Zhong , Charles Loop , Wonmin Byeon , Stan Birchfield , Yuchao Dai , Kaihao Zhang , Alexey Kamenev , Thomas Breuel , Hongdong Li , Jan Kautz

The extension of interpolation-grid frameworks for perturbative QCD calculations at next-to-next-to-leading order (NNLO) is presented for deep inelastic scattering (DIS) processes. A fast and flexible evaluation of higher-order predictions…

High Energy Physics - Phenomenology · Physics 2021-08-30 D. Britzger , J. Currie , A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , C. Gwenlan , A. Huss , T. Morgan , J. Niehues , J. Pires , K. Rabbertz , M. R. Sutton

Nowdays, modern microscopic approaches for fission are generally based on the framework of nuclear density functional theory (DFT), which has enabled a self-consistent treatment of both static and dynamic aspects of fission. The key issue…

Nuclear Theory · Physics 2023-09-08 Zeyu Li , Shengyuan Chen , Minghui Zhou , Yongjing Chen , Zhipan Li

Radial basis function generated finite difference (RBF-FD) methods for PDEs require a set of interpolation points which conform to the computational domain $\Omega$. One of the requirements leading to approximation robustness is to place…

Numerical Analysis · Mathematics 2021-04-07 Igor Tominec , Eva Breznik

In their recent article (2010), Levy and Liu introduced a generalization of Centroidal Voronoi Tessellation (CVT) - namely the Lp-CVT - that allows the computation of an anisotropic CVT over a sound mathematical framework. In this article a…

Computational Geometry · Computer Science 2014-08-26 Giacomo Parigi , Marco Piastra

Compression standards have been used to reduce the cost of image storage and transmission for decades. In recent years, learned image compression methods have been proposed and achieved compelling performance to the traditional standards.…

Image and Video Processing · Electrical Eng. & Systems 2021-09-21 Zhenhong Sun , Zhiyu Tan , Xiuyu Sun , Fangyi Zhang , Yichen Qian , Dongyang Li , Hao Li

Vibrational spectroscopy is a cornerstone technique for molecular characterization and offers an ideal target for the computational investigation of molecular materials. Building on previous comprehensive assessments of efficient methods…

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