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Simultaneous Localization and Mapping (SLAM) has wide robotic applications such as autonomous driving and unmanned aerial vehicles. Both computational efficiency and localization accuracy are of great importance towards a good SLAM system.…

Robotics · Computer Science 2022-01-10 Han Wang , Chen Wang , Chun-Lin Chen , Lihua Xie

Vectorization is increasingly important to achieve high performance on modern hardware with SIMD instructions. Assembly of matrices and vectors in the finite element method, which is characterized by iterating a local assembly kernel over…

Mathematical Software · Computer Science 2020-08-26 Tianjiao Sun , Lawrence Mitchell , Kaushik Kulkarni , Andreas Klöckner , David A. Ham , Paul H. J. Kelly

3D reconstruction in large-scale scenes is a fundamental task in 3D perception, but the inherent trade-off between accuracy and computational efficiency remains a significant challenge. Existing methods either prioritize speed and produce…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Jungho Lee , Minhyeok Lee , Sunghun Yang , Minseok Kang , Sangyoun Lee

A novel finite element formulation for gradient-regularized damage models is presented which allows for the robust, efficient, and mesh-independent simulation of damage phenomena in engineering and biological materials. The paper presents a…

Computational Engineering, Finance, and Science · Computer Science 2022-11-16 Johannes Riesselmann , Daniel Balzani

In this paper we provide some Matlab tools for efficient vectorized coding of the Hybridizable Discontinuous Galerkin for linear variable coefficient reaction-diffusion problems in polyhedral domains. The resulting tools are modular and…

Numerical Analysis · Mathematics 2013-05-08 Zhixing Fu , Luis F. Gatica , Francisco-Javier Sayas

This paper proposes a novel technique to reduce the computational burden associated with the simulation of localised failure. The proposed methodology affords the simulation of damage initiation and propagation whilst concentrating the…

Numerical Analysis · Mathematics 2011-09-27 Pierre Kerfriden , Jean-Charles Passieux , Stephane Pierre-Alain Bordas

In this paper, we propose a methodology for partitioning and mapping computational intensive applications in reconfigurable hardware blocks of different granularity. A generic hybrid reconfigurable architecture is considered so as the…

Hardware Architecture · Computer Science 2011-11-09 M. D. Galanis , A. Milidonis , G. Theodoridis , D. Soudris , C. E. Goutis

A local discontinuous Galerkin (LDG) method for approximating large deformations of prestrained plates is introduced and tested on several insightful numerical examples in our previous computational work. This paper presents a numerical…

Numerical Analysis · Mathematics 2021-12-20 Andrea Bonito , Diane Guignard , Ricardo Nochetto , Shuo Yang

A very simple and efficient local variational iteration method for solving problems of nonlinear science is proposed in this paper. The analytical iteration formula of this method is derived first using a general form of first order…

Numerical Analysis · Computer Science 2019-04-26 Xuechuan Wang , Qiuyi Xu , Satya N. Atluri

While low-precision optimization has been widely used to accelerate deep learning, low-precision sampling remains largely unexplored. As a consequence, sampling is simply infeasible in many large-scale scenarios, despite providing…

Machine Learning · Computer Science 2022-06-22 Ruqi Zhang , Andrew Gordon Wilson , Christopher De Sa

Matrix multiplication computation acceleration has been a research hotspot across various domains. Due to the characteristics of some applications, approximate matrix multiplication can achieve significant performance improvements without…

Numerical Analysis · Mathematics 2024-05-28 Hongyaoxing Gu

Work presented in this paper describes a general algorithm and its finite element implementation for performing concurrent multiple sub-domain simulations in linear structural dynamics. Using this approach one can solve problems in which…

Numerical Analysis · Mathematics 2013-12-25 Tejas Ruparel , Azim Eskandarian , James Lee

Large Language Models (LLMs) exhibit strong reasoning abilities, but their high computational costs limit their practical deployment. Recent studies reveal significant redundancy in LLMs layers, making layer pruning an active research…

Computation and Language · Computer Science 2026-02-17 Hao Liu , Guangyan Li , Wensheng Zhang , Yongqiang Tang

In this article, we introduce a Face-to-Tetrahedron connectivity in MATLAB together with a vectorized 3D uniform mesh refinement technique. We introduce a MATLAB vectorized assembly of 3D lowest-order primal hybrid finite element matrices…

Numerical Analysis · Mathematics 2025-09-16 Harish Nagula Mallesham , Sharat Gaddam , Jan Valdman , Sanjib Kumar Acharya

We present a novel optimization-based decoding algorithm for LDPC codes that is suitable for hardware architectures specialized to feed-forward neural networks. The algorithm is based on the projected gradient descent algorithm with a…

Information Theory · Computer Science 2019-01-16 Tadashi Wadayama , Satoshi Takabe

Modern scientific problems are often multi-disciplinary and require integration of computer models from different disciplines, each with distinct functional complexities, programming environments, and computation times. Linked Gaussian…

Machine Learning · Statistics 2023-06-05 Deyu Ming , Daniel Williamson

3D visual grounding (3DVG) is challenging due to the need to understand 3D spatial relations. While supervised approaches have achieved superior performance, they are constrained by the scarcity and high annotation costs of 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Boyu Mi , Hanqing Wang , Tai Wang , Yilun Chen , Jiangmiao Pang

Our work explores the utilization of deep learning, specifically leveraging the CodeBERT model, to enhance code security testing for Python applications by detecting SQL injection vulnerabilities. Unlike traditional security testing methods…

Cryptography and Security · Computer Science 2025-08-29 Guan-Yan Yang , Yi-Heng Ko , Farn Wang , Kuo-Hui Yeh , Haw-Shiang Chang , Hsueh-Yi Chen

We propose in this paper a Proper Generalized Decomposition (PGD) solver for reduced-order modeling of linear elastodynamic problems. It primarily focuses on enhancing the computational efficiency of a previously introduced PGD solver based…

Computational Engineering, Finance, and Science · Computer Science 2024-05-15 Clément Vella , Pierre Gosselet , Serge Prudhomme

A stagewise decomposition algorithm called value function gradient learning (VFGL) is proposed for large-scale multistage stochastic convex programs. VFGL finds the parameter values that best fit the gradient of the value function within a…

Optimization and Control · Mathematics 2022-10-06 Jinkyu Lee , Sanghyeon Bae , Woo Chang Kim , Yongjae Lee