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The great success of modern machine learning models on large datasets is contingent on extensive computational resources with high financial and environmental costs. One way to address this is by extracting subsets that generalize on par…

Machine Learning · Computer Science 2021-06-15 Krishnateja Killamsetty , Durga Sivasubramanian , Ganesh Ramakrishnan , Abir De , Rishabh Iyer

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

Optimization and Control · Mathematics 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

The configuration model is a standard tool for uniformly generating random graphs with a specified degree sequence, and is often used as a null model to evaluate how much of an observed network's structure can be explained by its degree…

Social and Information Networks · Computer Science 2023-05-31 Upasana Dutta , Bailey K. Fosdick , Aaron Clauset

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

Optimization and Control · Mathematics 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro

Approximate K-Nearest Neighbor Search (AKNNS) has now become ubiquitous in modern applications, for example, as a fast search procedure with two tower deep learning models. Graph-based methods for AKNNS in particular have received great…

Machine Learning · Computer Science 2022-06-24 Patrick H. Chen , Chang Wei-cheng , Yu Hsiang-fu , Inderjit S. Dhillon , Hsieh Cho-jui

Motivated by an application in kidney exchange, we study the following query-commit problem: we are given the set of vertices of a non-bipartite graph G. The set of edges in this graph are not known ahead of time. We can query any pair of…

Data Structures and Algorithms · Computer Science 2013-08-26 Gagan Goel , Pushkar Tripathi

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

Methodology · Statistics 2015-11-13 Simon N. Wood

The problem of finding a maximum size matching in a graph (known as the maximum matching problem) is one of the most classical problems in computer science. Despite a significant body of work dedicated to the study of this problem in the…

Data Structures and Algorithms · Computer Science 2021-09-14 Moran Feldman , Ariel Szarf

With the growing popularity of shared resources, large volumes of complex data of different types are collected automatically. Traditional data mining algorithms generally have problems and challenges including huge memory cost, low…

Databases · Computer Science 2021-04-01 Wensheng Gan , Jerry Chun-Wei Lin , Philippe Fournier-Viger , Han-Chieh Chao , Philip S. Yu

In this article we consider the graph alignment problem from the perspective of high-dimensional statistics: we aim to estimate an unknown permutation $\pi^*$ from the observation of two correlated random adjacency matrices $A_1$, $A_2$. We…

Probability · Mathematics 2025-10-30 Laurent Massoulié

Graph analytics are vital in fields such as social networks, biomedical research, and graph neural networks (GNNs). However, traditional CPUs and GPUs struggle with the memory bottlenecks caused by large graph datasets and their…

Hardware Architecture · Computer Science 2024-11-25 Oluwole Jaiyeoba , Abdullah T. Mughrabi , Morteza Baradaran , Beenish Gul , Kevin Skadron

Given an undirected graph, $G$, and vertices, $s$ and $t$ in $G$, the tracking paths problem is that of finding the smallest subset of vertices in $G$ whose intersection with any $s$-$t$ path results in a unique sequence. This problem is…

Data Structures and Algorithms · Computer Science 2021-04-27 Michael T. Goodrich , Siddharth Gupta , Hadi Khodabandeh , Pedro Matias

Graph similarity learning, crucial for tasks such as graph classification and similarity search, focuses on measuring the similarity between two graph-structured entities. The core challenge in this field is effectively managing the…

Information Retrieval · Computer Science 2025-02-26 Zenghui Chang , Yiqiao Zhang , Hong Cai Chen

Stochastic Gradient Descent (SGD) has become the de facto way to train deep neural networks in distributed clusters. A critical factor in determining the training throughput and model accuracy is the choice of the parameter synchronization…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Shijian Li , Oren Mangoubi , Lijie Xu , Tian Guo

Image matching aims at identifying corresponding points between a pair of images. Currently, detector-free methods have shown impressive performance in challenging scenarios, thanks to their capability of generating dense matches and global…

Computer Vision and Pattern Recognition · Computer Science 2024-08-08 Xudong Cai , Yongcai Wang , Lun Luo , Minhang Wang , Deying Li , Jintao Xu , Weihao Gu , Rui Ai

One of the simplest problems on directed graphs is that of identifying the set of vertices reachable from a designated source vertex. This problem can be solved easily sequentially by performing a graph search, but efficient parallel…

Data Structures and Algorithms · Computer Science 2017-11-07 Jeremy T. Fineman

Score-based graph generative models (SGGMs) have proven effective in critical applications such as drug discovery and protein synthesis. However, their theoretical behavior, particularly regarding convergence, remains underexplored. Unlike…

Machine Learning · Computer Science 2025-08-21 Junwei Su , Chuan Wu

Graphons, as limit objects of dense graph sequences, play a central role in the statistical analysis of network data. However, existing graphon estimation methods often struggle with scalability to large networks and resolution-independent…

Machine Learning · Computer Science 2025-06-05 Reza Ramezanpour , Victor M. Tenorio , Antonio G. Marques , Ashutosh Sabharwal , Santiago Segarra

Acquiring labels are often costly, whereas unlabeled data are usually easy to obtain in modern machine learning applications. Semi-supervised learning provides a principled machine learning framework to address such situations, and has been…

Machine Learning · Computer Science 2017-04-07 Trung Le , Khanh Nguyen , Van Nguyen , Vu Nguyen , Dinh Phung

Ad-hoc queries over frequently updated data in a flat schema are common in real-time data analysis applications and often require very low latency. Online aggregation can achieve so by providing approximate aggregation answers with…

Databases · Computer Science 2026-05-01 Yunnan Yu , Zhuoyue Zhao