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The analysis of large-scale, parallel-server load balancing systems has relied heavily on mean-field analysis. A pivotal assumption for this framework is that the servers are exchangeable. However, modern data-centers have data locality…

Probability · Mathematics 2023-01-10 Daan Rutten , Debankur Mukherjee

In genomic analysis, biomarker discovery, image recognition, and other systems involving machine learning, input variables can often be organized into different groups by their source or semantic category. Eliminating some groups of…

Machine Learning · Computer Science 2019-12-02 Beibin Li , Nicholas Nuechterlein , Erin Barney , Caitlin Hudac , Pamela Ventola , Linda Shapiro , Frederick Shic

The distributionally robust optimization (DRO)-based graph neural network methods improve recommendation systems' out-of-distribution (OOD) generalization by optimizing the model's worst-case performance. However, these studies fail to…

Machine Learning · Computer Science 2025-01-28 Chu Zhao , Enneng Yang , Yuliang Liang , Jianzhe Zhao , Guibing Guo , Xingwei Wang

This paper presents meta-sparsity, a framework for learning model sparsity, basically learning the parameter that controls the degree of sparsity, that allows deep neural networks (DNNs) to inherently generate optimal sparse shared…

Machine Learning · Computer Science 2025-01-22 Richa Upadhyay , Ronald Phlypo , Rajkumar Saini , Marcus Liwicki

Graph anomaly detection aims to identify irregular patterns in graph-structured data. Most unsupervised GNN-based methods rely on the homophily assumption that connected nodes share similar attributes. However, real-world graphs often…

Machine Learning · Computer Science 2026-04-20 Zehao Wang , Lanjun Wang

This work introduces a novel principle for disentanglement we call mechanism sparsity regularization, which applies when the latent factors of interest depend sparsely on observed auxiliary variables and/or past latent factors. We propose a…

In this letter, we propose an algorithm for learning a sparse weighted graph by estimating its adjacency matrix under the assumption that the observed signals vary smoothly over the nodes of the graph. The proposed algorithm is based on the…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Ghania Fatima , Aakash Arora , Prabhu Babu , Petre Stoica

Computing the size of maximum independent sets is a NP-hard problem for fixed graphs. Characterizing and designing efficient algorithms to estimate this independence number for random graphs are notoriously difficult and still largely open…

Probability · Mathematics 2020-10-01 Paola Bermolen , Matthieu Jonckheere , Federico Larroca , Manuel Saenz

Graph Neural Networks (GNNs) have shown remarkable performance in structured data modeling tasks such as node classification. However, mainstream approaches generally rely on a large number of trainable parameters and fixed aggregation…

Machine Learning · Computer Science 2026-02-17 Mingyue Kong , Yinglong Zhang , Chengda Xu , Xuewen Xia , Xing Xu

A closed-form analytical expression is derived for the limiting empirical squared singular value density of a spreading (signature) matrix corresponding to sparse low-density code-domain (LDCD) non-orthogonal multiple-access (NOMA) with…

Information Theory · Computer Science 2017-05-10 Ori Shental , Benjamin M. Zaidel , Shlomo Shamai

We introduce a new ensemble of random bipartite graphs, which we term the `smearing ensemble', where each left node is connected to some number of consecutive right nodes. Such graphs arise naturally in the recovery of sparse wavelet…

Information Theory · Computer Science 2017-05-09 Kabir Chandrasekher , Orhan Ocal , Kannan Ramchandran

Detecting anomalies in dynamic graphs is a vital task, with numerous practical applications in areas such as security, finance, and social media. Previous network embedding based methods have been mostly focusing on learning good node…

Machine Learning · Computer Science 2020-05-26 Lei Cai , Zhengzhang Chen , Chen Luo , Jiaping Gui , Jingchao Ni , Ding Li , Haifeng Chen

We study a well known noisy model of the graph isomorphism problem. In this model, the goal is to perfectly recover the vertex correspondence between two edge-correlated Erd\H{o}s-R\'{e}nyi random graphs, with an initial seed set of…

Machine Learning · Computer Science 2018-07-27 Elchanan Mossel , Jiaming Xu

Motivated by extreme multi-label classification applications, we consider training deep learning models over sparse data in multi-GPU servers. The variance in the number of non-zero features across training batches and the intrinsic GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Yujing Ma , Florin Rusu , Kesheng Wu , Alexander Sim

We study the problem of robustly estimating the edge density of Erd\H{o}s-R\'enyi random graphs $G(n, d^\circ/n)$ when an adversary can arbitrarily add or remove edges incident to an $\eta$-fraction of the nodes. We develop the first…

Data Structures and Algorithms · Computer Science 2025-03-07 Hongjie Chen , Jingqiu Ding , Yiding Hua , Stefan Tiegel

We analyze the spectral properties of the high-dimensional random geometric graph $G(n, d, p)$, formed by sampling $n$ i.i.d vectors $\{v_i\}_{i=1}^{n}$ uniformly on a $d$-dimensional unit sphere and connecting each pair $\{i,j\}$ whenever…

Probability · Mathematics 2026-02-11 Yifan Cao , Yizhe Zhu

Sparse coding has achieved a great success in various image processing studies. However, there is not any benchmark to measure the sparsity of image patch/group because sparse discriminant conditions cannot keep unchanged. This paper…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Zhiyuan Zha , Xin Liu , Xiaohua Huang , Henglin Shi , Yingyue Xu , Qiong Wang , Lan Tang , Xinggan Zhang

Graphs arising in statistical problems, signal processing, large networks, combinatorial optimization, and data analysis are often dense, which causes both computational and storage bottlenecks. One way of \textit{sparsifying} a…

Numerical Analysis · Mathematics 2023-04-27 Neophytos Charalambides , Alfred O. Hero

Detecting anomalous nodes in attributed networks, where each node is associated with both structural connections and descriptive attributes, is essential for identifying fraud, misinformation, and suspicious behavior in domains such as…

Social and Information Networks · Computer Science 2025-10-31 Apu Chakraborty , Anshul Kumar , Gagan Raj Gupta

Scene graph generation (SGG) aims to predict graph-structured descriptions of input images, in the form of objects and relationships between them. This task is becoming increasingly useful for progress at the interface of vision and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Boris Knyazev , Harm de Vries , Cătălina Cangea , Graham W. Taylor , Aaron Courville , Eugene Belilovsky