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This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

Dynamical Systems · Mathematics 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Dataset distillation (DD) has emerged as a powerful paradigm for dataset compression, enabling the synthesis of compact surrogate datasets that approximate the training utility of large-scale ones. While significant progress has been…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Xulin Gu , Xinhao Zhong , Zhixing Wei , Yimin Zhou , Shuoyang Sun , Bin Chen , Hongpeng Wang , Yuan Luo

The state-of-the-art methods for solving optimization problems in big dimensions are variants of randomized coordinate descent (RCD). In this paper we introduce a fundamentally new type of acceleration strategy for RCD based on the…

Optimization and Control · Mathematics 2018-02-13 Dmitry Kovalev , Eduard Gorbunov , Elnur Gasanov , Peter Richtárik

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

Parallel implementations of stochastic gradient descent (SGD) have received significant research attention, thanks to excellent scalability properties of this algorithm, and to its efficiency in the context of training deep neural networks.…

Machine Learning · Computer Science 2017-12-07 Dan Alistarh , Demjan Grubic , Jerry Li , Ryota Tomioka , Milan Vojnovic

Deep learning models achieve state-of-the-art performance across domains but face scalability challenges in real-time or resource-constrained scenarios. To address this, we propose Loss Trajectory Correlation (LTC), a novel metric for…

Machine Learning · Computer Science 2025-03-14 Manish Nagaraj , Deepak Ravikumar , Efstathia Soufleri , Kaushik Roy

Massive amounts of data have led to the training of large-scale machine learning models on a single worker inefficient. Distributed machine learning methods such as Parallel-SGD have received significant interest as a solution to tackle…

Machine Learning · Computer Science 2022-03-31 S Vineeth

Dataset Distillation (DD), a newly emerging field, aims at generating much smaller but efficient synthetic training datasets from large ones. Existing DD methods based on gradient matching achieve leading performance; however, they are…

Machine Learning · Computer Science 2023-04-18 Lei Zhang , Jie Zhang , Bowen Lei , Subhabrata Mukherjee , Xiang Pan , Bo Zhao , Caiwen Ding , Yao Li , Dongkuan Xu

Accurate yet efficient surrogate models are essential for large-scale simulations of partial differential equations (PDEs), particularly for uncertainty quantification (UQ) tasks that demand hundreds or thousands of evaluations. We develop…

Increasing and massive volumes of trajectory data are being accumulated that may serve a variety of applications, such as mining popular routes or identifying ridesharing candidates. As storing and querying massive trajectory data is…

Databases · Computer Science 2023-12-14 Zheng Wang , Cheng Long , Gao Cong , Christian S. Jensen

In recent years, the rapid expansion of dataset sizes and the increasing complexity of deep learning models have significantly escalated the demand for computational resources, both for data storage and model training. Dataset distillation…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Zhe Li , Hadrien Reynaud , Mischa Dombrowski , Sarah Cechnicka , Franciskus Xaverius Erick , Bernhard Kainz

This paper presents a novel methodology that uses surrogate models in the form of neural networks to reduce the computation time of simulation-based optimization of a reference trajectory. Simulation-based optimization is necessary when…

Optimization and Control · Mathematics 2023-03-31 Evelyn Ruff , Rebecca Russell , Matthew Stoeckle , Piero Miotto , Jonathan P. How

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

Communication compression techniques are of growing interests for solving the decentralized optimization problem under limited communication, where the global objective is to minimize the average of local cost functions over a multi-agent…

Optimization and Control · Mathematics 2022-05-26 Yiwei Liao , Zhuorui Li , Kun Huang , Shi Pu

Non-contrast CT (NCCT) imaging may reduce image contrast and anatomical visibility, potentially increasing diagnostic uncertainty. In contrast, contrast-enhanced CT (CECT) facilitates the observation of regions of interest (ROI). Leading…

Image and Video Processing · Electrical Eng. & Systems 2024-11-18 Tingyi Lin , Pengju Lyu , Jie Zhang , Yuqing Wang , Cheng Wang , Jianjun Zhu

Finding effective representations for time series data is a useful but challenging task. Several works utilize self-supervised or unsupervised learning methods to address this. However, there still remains the open question of how to…

Machine Learning · Computer Science 2024-03-19 Yuansan Liu , Sudanthi Wijewickrema , Christofer Bester , Stephen O'Leary , James Bailey

Data augmentation is a valuable tool for the design of deep learning systems to overcome data limitations and stabilize the training process. Especially in the medical domain, where the collection of large-scale data sets is challenging and…

Machine Learning · Computer Science 2025-02-11 Mane Margaryan , Matthias Seibold , Indu Joshi , Mazda Farshad , Philipp Fürnstahl , Nassir Navab

Dataset distillation (DD) aims to compress large-scale datasets into compact synthetic counterparts for efficient model training. However, existing DD methods exhibit substantial performance degradation on long-tailed datasets. We identify…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Ruixi Wu , Shaobo Wang , Jiahuan Chen , Zhiyuan Liu , Yicun Yang , Zhaorun Chen , Zekai Li , Kaixin Li , Xinming Wang , Hongzhu Yi , Kai Wang , Linfeng Zhang

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

Optimization and Control · Mathematics 2024-10-01 Kun Huang , Shi Pu

Modern computational science and engineering applications are being improved by the advances in scientific machine learning. Data-driven methods such as Dynamic Mode Decomposition (DMD) can extract coherent structures from spatio-temporal…

Graphics · Computer Science 2022-08-17 Gabriel F. Barros , Malú Grave , José J. Camata , Alvaro L. G. A. Coutinho
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