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This paper presents a scalable physics-based block preconditioner for mixed-dimensional models in beam-solid interaction and their application in engineering. In particular, it studies the linear systems arising from a regularized…

Computational Engineering, Finance, and Science · Computer Science 2024-08-09 Max Firmbach , Ivo Steinbrecher , Alexander Popp , Matthias Mayr

The exponential growth in LLM scales, with parameters soaring from billions to trillions, has necessitated distributed pretraining across large clusters comprising thousands to tens of thousands of devices. While hybrid parallelization…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-21 Lu Zhao , Rong Shi , Shaoqing Zhang , Shangchao Su , Ziqing Yin , Zhiyan Cui , Hongfeng Sun , Baoguo He , Yueqiang Chen , Liang Dong , Xiyuan Li , Lingbin Wang , Lijun Ma , Qiang Huang , Ting Liu , Chong Wang , Can Wei

Recent developments in decomposition methods for multi-stage stochastic programming with block separable recourse enable the solution to large-scale stochastic programs with multi-timescale uncertainty. Multi-timescale uncertainty is…

Optimization and Control · Mathematics 2024-09-04 Hongyu Zhang , Erlend Heir , Asbjørn Nisi , Asgeir Tomasgard

Assemblies of modular subsystems are being pressed into service to perform sensing, reasoning, and decision making in high-stakes, time-critical tasks in such areas as transportation, healthcare, and industrial automation. We address the…

Machine Learning · Computer Science 2019-05-15 Aditya Modi , Debadeepta Dey , Alekh Agarwal , Adith Swaminathan , Besmira Nushi , Sean Andrist , Eric Horvitz

Advancements in prompt tuning of vision-language models have underscored their potential in enhancing open-world visual concept comprehension. However, prior works only primarily focus on single-mode (only one prompt for each modality) and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Dongsheng Wang , Miaoge Li , Xinyang Liu , MingSheng Xu , Bo Chen , Hanwang Zhang

Adaptive gradient methods like AdaGrad are widely used in optimizing neural networks. Yet, existing convergence guarantees for adaptive gradient methods require either convexity or smoothness, and, in the smooth setting, only guarantee…

Machine Learning · Computer Science 2019-10-22 Xiaoxia Wu , Simon S. Du , Rachel Ward

High-definition (HD) cameras for surveillance and road traffic have experienced tremendous growth, demanding intensive computation resources for real-time analytics. Recently, offloading frames from the front-end device to the back-end edge…

Networking and Internet Architecture · Computer Science 2024-02-06 Lin Sun , Weijun Wang , Tingting Yuan , Liang Mi , Haipeng Dai , Yunxin Liu , Xiaoming Fu

It is tested whether machine learning methods can be used for preconditioning to increase the performance of the linear solver -- the backbone of the semi-implicit, grid-point model approach for weather and climate models. Embedding the…

Atmospheric and Oceanic Physics · Physics 2020-10-07 Jan Ackmann , Peter D. Düben , Tim N. Palmer , Piotr K. Smolarkiewicz

We present an efficient, robust and fully GPU-accelerated aggregation-based algebraic multigrid preconditioning technique for the solution of large sparse linear systems. These linear systems arise from the discretization of elliptic PDEs.…

Numerical Analysis · Mathematics 2014-03-10 Rajesh Gandham , Ken Esler , Yongpeng Zhang

The world is rarely static -- many problems need not only be solved once but repeatedly, under changing conditions. This setting is addressed by the "multistage" view on computational problems. We study the "diverse multistage" variant,…

Data Structures and Algorithms · Computer Science 2021-05-12 Leon Kellerhals , Malte Renken , Philipp Zschoche

Point cloud bundle adjustment is critical in large-scale point cloud mapping. However, it is both computationally and memory intensive, with its complexity growing cubically as the number of scan poses increases. This paper presents…

Robotics · Computer Science 2025-02-27 Rundong Li , Zheng Liu , Hairuo Wei , Yixi Cai , Haotian Li , Fu Zhang

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

Image and Video Processing · Electrical Eng. & Systems 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

Optimization and Control · Mathematics 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

The predicted reduced resiliency of next-generation high performance computers means that it will become necessary to take into account the effects of randomly occurring faults on numerical methods. Further, in the event of a hard fault…

Numerical Analysis · Mathematics 2017-09-07 Mark Ainsworth , Christian Glusa

Solving inverse problems, such as parameter estimation and optimal control, is a vital part of science. Many experiments repeatedly collect data and rely on machine learning algorithms to quickly infer solutions to the associated inverse…

Machine Learning · Computer Science 2022-10-14 Philipp Holl , Vladlen Koltun , Nils Thuerey

We contribute improvements to a Lagrangian dual solution approach applied to large-scale optimization problems whose objective functions are convex, continuously differentiable and possibly nonlinear, while the non-relaxed constraint set is…

Optimization and Control · Mathematics 2019-08-09 Brian Dandurand , Natashia Boland , Jeffrey Christiansen , Andrew Eberhard , Fabricio Oliveira

Bundle methods are often used to solve dual problems that arise from Lagrangian relaxations of large scale optimization problems. An example of such problems is the train timetabling problem. This paper focuses on solving a dual problem…

Optimization and Control · Mathematics 2017-03-01 Abderrahman Ait Ali , Per Olov Lindberg , Jan-Eric Nilsson , Jonas Eliasson , Martin Aronsson

This study aims to explore efficient tuning methods for the screenshot captioning task. Recently, image captioning has seen significant advancements, but research in captioning tasks for mobile screens remains relatively scarce. Current…

Machine Learning · Computer Science 2023-09-27 Ching-Yu Chiang , I-Hua Chang , Shih-Wei Liao

This work considers a multiobjective version of the unit commitment problem that deals with finding the optimal generation schedule of a firm, over a period of time and a given electrical network. With growing importance of environmental…

Optimization and Control · Mathematics 2025-01-14 Ece Tevruez , Aswin Kannan

At the heart of the Met Office climate and weather forecasting capabilities lies a sophisticated numerical model which solves the equations of large-scale atmospheric flow. Since this model uses semi-implicit time-stepping, it requires the…

Computational Physics · Physics 2023-11-27 Andrew Malcolm , Eike H. Müller , Robert Scheichl
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