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This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

Distributed optimization aims to leverage the local computation and communication capabilities of each agent to achieve a desired global objective. This paper addresses the distributed pose graph optimization (PGO) problem under non-convex…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Zeinab Ebrahimi , Mohammad Deghat

Decentralized optimization algorithms have recently attracted increasing attention due to its wide applications in all areas of science and engineering. In these algorithms, a collection of agents collaborate to minimize the average of a…

Optimization and Control · Mathematics 2024-09-18 Shujing Feng , Xin Jiang

A novel approach is presented for fast generation of synthetic seismograms due to microseismic events, using heterogeneous marine velocity models. The partial differential equations (PDEs) for the 3D elastic wave equation have been…

Geophysics · Physics 2017-05-16 Saptarshi Das , Xi Chen , Michael P. Hobson

This work presents Squeeze, an efficient compact fractal processing scheme for tensor core GPUs. By combining discrete-space transformations between compact and expanded forms, one can do data-parallel computation on a fractal with…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Felipe A. Quezada , Cristóbal A. Navarro , Nancy Hitschfeld , Benjamin Bustos

Edge computing is being widely used for video analytics. To alleviate the inherent tension between accuracy and cost, various video analytics pipelines have been proposed to optimize the usage of GPU on edge nodes. Nonetheless, we find that…

Computer Vision and Pattern Recognition · Computer Science 2022-07-04 Yan Lu , Shiqi Jiang , Ting Cao , Yuanchao Shu

We present a novel graph-informed transformer operator (GITO) architecture for learning complex partial differential equation systems defined on irregular geometries and non-uniform meshes. GITO consists of two main modules: a hybrid graph…

Machine Learning · Computer Science 2025-06-18 Milad Ramezankhani , Janak M. Patel , Anirudh Deodhar , Dagnachew Birru

Image-adaptive lookup tables (LUTs) have achieved great success in real-time image enhancement tasks due to their high efficiency for modeling color transforms. However, they embed the complete transform, including the color…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Canqian Yang , Meiguang Jin , Yi Xu , Rui Zhang , Ying Chen , Huaida Liu

In this paper, we propose a topology optimization (TO) framework where the design is parameterized by a set of convex polygons. Extending feature mapping methods in TO, the representation allows for direct extraction of the geometry. In…

Optimization and Control · Mathematics 2023-05-09 Aaditya Chandrasekhar

Learning continuous representations of nodes is attracting growing interest in both academia and industry recently, due to their simplicity and effectiveness in a variety of applications. Most of existing node embedding algorithms and…

Machine Learning · Computer Science 2019-03-05 Zhaocheng Zhu , Shizhen Xu , Meng Qu , Jian Tang

Accurate and efficient physical simulations are essential in science and engineering, yet traditional numerical solvers face significant challenges in computational cost when handling simulations across dynamic scenarios involving complex…

Computational Engineering, Finance, and Science · Computer Science 2025-12-12 Pengwei Liu , Xingyu Ren , Pengkai Wang , Hangjie Yuan , Zhongkai Hao , Guanyu Chen , Chao Xu , Dong Ni , Shengze Cai

Parameter-efficient fine-tuning (PEFT) has emerged as a popular solution for adapting pre-trained Vision Transformer (ViT) models to downstream applications by updating only a small subset of parameters. While current PEFT methods have…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Ting Liu , Xuyang Liu , Liangtao Shi , Zunnan Xu , Yue Hu , Siteng Huang , Yi Xin , Bineng Zhong , Donglin Wang

It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization process towards local (and non-physical) minima, and by the…

Numerical Analysis · Mathematics 2016-12-28 Paola F. Antonietti , Matteo Bruggi , Simone Scacchi , Marco Verani

This work presents a GPU thread mapping approach that allows doing fast parallel stencil-like computations on discrete fractals using their compact representation. The intuition behind is to employ two GPU tensor-core accelerated thread…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-26 Felipe A. Quezada , Cristóbal A. Navarro

Large models represent a groundbreaking advancement in multiple application fields, enabling remarkable achievements across various tasks. However, their unprecedented scale comes with significant computational costs. These models, often…

Machine Learning · Computer Science 2024-09-17 Zeyu Han , Chao Gao , Jinyang Liu , Jeff Zhang , Sai Qian Zhang

We consider the problem of computing the topology and describing the geometry of a parametric curve in $\mathbb{R}^n$. We present an algorithm, PTOPO, that constructs an abstract graph that is isotopic to the curve in the embedding space.…

Symbolic Computation · Computer Science 2022-02-18 Christina Katsamaki , Fabrice Rouillier , Elias Tsigaridas

A number of computations exist, especially in area of error-control coding and matrix computations, whose underlying data flow graphs are based on finite projective-geometry(PG) based balanced bipartite graphs. Many of these applications…

Discrete Mathematics · Computer Science 2013-11-05 Swadesh Choudhary , Hrishikesh Sharma , Sachin Patkar

Evolutionary computing (EC) has proven to be effective in solving complex optimization and robotics problems. Unfortunately, typical Evolutionary Algorithms (EAs) are constrained by the computational capacity available to researchers. More…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-19 Rustam Eynaliyev , Houcen Liu

Parameter-efficient fine-tuning (PEFT) techniques have emerged to address overfitting and high computational costs associated with fully fine-tuning in self-supervised learning. Mainstream PEFT methods add a few trainable parameters while…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Xingliang Lei , Yiwen Ye , Zhisong Wang , Ziyang Chen , Minglei Shu , Weidong Cai , Yanning Zhang , Yong Xia

Selecting the optimal material for a part designed through topology optimization is a complex problem. The shape and properties of the Pareto front plays an important role in this selection. In this paper we show that the compliance-volume…

Optimization and Control · Mathematics 2022-11-29 Edouard Duriez , Miguel Charlotte , Catherine Azzaro-Pantel , Joseph Morlier
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