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Distributed stochastic gradient descent (SGD) algorithms are widely deployed in training large-scale deep learning models, while the communication overhead among workers becomes the new system bottleneck. Recently proposed gradient…

Machine Learning · Computer Science 2019-11-21 Shaohuai Shi , Xiaowen Chu , Ka Chun Cheung , Simon See

This work presents inGRASS, a novel algorithm designed for incremental spectral sparsification of large undirected graphs. The proposed inGRASS algorithm is highly scalable and parallel-friendly, having a nearly-linear time complexity for…

Data Structures and Algorithms · Computer Science 2024-09-09 Ali Aghdaei , Zhuo Feng

Graph Neural Networks (GNNs) have emerged as highly successful tools for graph-related tasks. However, real-world problems involve very large graphs, and the compute resources needed to fit GNNs to those problems grow rapidly. Moreover, the…

Machine Learning · Computer Science 2021-11-11 Eitan Kosman , Joel Oren , Dotan Di Castro

We study \emph{dynamic} algorithms for maintaining spectral vertex sparsifiers of graphs with respect to a set of terminals $T$ of our choice. Such objects preserve pairwise resistances, solutions to systems of linear equations, and energy…

Data Structures and Algorithms · Computer Science 2019-06-26 David Durfee , Yu Gao , Gramoz Goranci , Richard Peng

This paper challenges the convention of using graph-theoretic shortest distance in stress-based graph drawing. We propose a new paradigm based on resistance distance, derived from the graph Laplacian's spectrum, which better captures global…

Graphics · Computer Science 2025-12-29 Yosuke Onoue

We study the problem of compressing a weighted graph $G$ on $n$ vertices, building a "sketch" $H$ of $G$, so that given any vector $x \in \mathbb{R}^n$, the value $x^T L_G x$ can be approximated up to a multiplicative $1+\epsilon$ factor…

Data Structures and Algorithms · Computer Science 2014-12-30 Jiecao Chen , Bo Qin , David P. Woodruff , Qin Zhang

Traffic flow forecasting is a critical spatio-temporal data mining task with wide-ranging applications in intelligent route planning and dynamic traffic management. Recent advancements in deep learning, particularly through Graph Neural…

Machine Learning · Computer Science 2025-05-14 Weiyang Kong , Kaiqi Wu , Sen Zhang , Yubao Liu

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

Machine Learning · Computer Science 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

Spectral clustering is a fundamental method for graph partitioning, but its reliance on eigenvector computation limits scalability to massive graphs. Classical sparsification methods preserve spectral properties by sampling edges…

Machine Learning · Computer Science 2025-10-15 Kaiwen He , Petros Drineas , Rajiv Khanna

Graph Neural Networks (GNNs) are powerful models for graph-structured data, with broad applications. However, the interplay between GNN parameter optimization, expressivity, and generalization remains poorly understood. We address this by…

Machine Learning · Computer Science 2025-09-16 Samir Moustafa , Lorenz Kummer , Simon Fetzel , Nils M. Kriege , Wilfried N. Gansterer

The MIT/IEEE/Amazon GraphChallenge.org encourages community approaches to developing new solutions for analyzing graphs and sparse data. Sparse AI analytics present unique scalability difficulties. The proposed Sparse Deep Neural Network…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Jeremy Kepner , Simon Alford , Vijay Gadepally , Michael Jones , Lauren Milechin , Ryan Robinett , Sid Samsi

This work introduces a highly-scalable spectral graph densification framework (SGL) for learning resistor networks with linear measurements, such as node voltages and currents. We show that the proposed graph learning approach is equivalent…

Machine Learning · Computer Science 2023-02-10 Ying Zhang , Zhiqiang Zhao , Zhuo Feng

We study the problem of constructing hypergraph cut sparsifiers in the streaming model where a hypergraph on $n$ vertices is revealed either via an arbitrary sequence of hyperedge insertions alone ({\em insertion-only} streaming model) or…

Data Structures and Algorithms · Computer Science 2025-04-24 Sanjeev Khanna , Aaron Putterman , Madhu Sudan

Augmentation techniques and sampling strategies are crucial in contrastive learning, but in most existing works, augmentation techniques require careful design, and their sampling strategies can only capture a small amount of intrinsic…

Machine Learning · Computer Science 2023-07-28 Yixian Ma , Kun Zhan

Many robotic exploration algorithms rely on graph structures for frontier-based exploration and dynamic path planning. However, these graphs grow rapidly, accumulating redundant information and impacting performance. We present a…

Robotics · Computer Science 2026-04-21 Adithya V. Sastry , Bibek Poudel , Weizi Li

We consider the problem of finding a minimum cut of a weighted graph presented as a single-pass stream. While graph sparsification in streams has been intensively studied, the specific application of finding minimum cuts in streams is less…

Data Structures and Algorithms · Computer Science 2024-12-09 Matthew Ding , Alexandro Garces , Jason Li , Honghao Lin , Jelani Nelson , Vihan Shah , David P. Woodruff

We tackle the network topology inference problem by utilizing Laplacian constrained Gaussian graphical models, which recast the task as estimating a precision matrix in the form of a graph Laplacian. Recent research \cite{ying2020nonconvex}…

Machine Learning · Computer Science 2023-09-06 Jiaxi Ying , Xi Han , Rui Zhou , Xiwen Wang , Hing Cheung So

Distributed stochastic gradient descent (SGD) with gradient compression has become a popular communication-efficient solution for accelerating distributed learning. One commonly used method for gradient compression is Top-K sparsification,…

Machine Learning · Computer Science 2023-09-12 Mengzhe Ruan , Guangfeng Yan , Yuanzhang Xiao , Linqi Song , Weitao Xu

Graph neural networks (GNNs) are powerful tools for solving graph-related problems. Distributed GNN frameworks and systems enhance the scalability of GNNs and accelerate model training, yet most are optimized for node classification. Their…

Machine Learning · Computer Science 2025-06-27 Xin Huang , Chul-Ho Lee

Graph Transformers (GTs) have achieved impressive results on various graph-related tasks. However, the huge computational cost of GTs hinders their deployment and application, especially in resource-constrained environments. Therefore, in…

Machine Learning · Computer Science 2023-12-12 Chuang Liu , Yibing Zhan , Xueqi Ma , Liang Ding , Dapeng Tao , Jia Wu , Wenbin Hu , Bo Du