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We introduce a method for sparsifying distributed algorithms and exhibit how it leads to improvements that go past known barriers in two algorithmic settings of large-scale graph processing: Massively Parallel Computation (MPC), and Local…

数据结构与算法 · 计算机科学 2018-07-18 Mohsen Ghaffari , Jara Uitto

We introduce a new notion of graph sparsificaiton based on spectral similarity of graph Laplacians: spectral sparsification requires that the Laplacian quadratic form of the sparsifier approximate that of the original. This is equivalent to…

数据结构与算法 · 计算机科学 2010-07-22 Daniel A. Spielman , Shang-Hua Teng

To effectively manage and utilize massive distributed data at the network edge, Federated Learning (FL) has emerged as a promising edge computing paradigm across data silos. However, FL still faces two challenges: system heterogeneity…

分布式、并行与集群计算 · 计算机科学 2025-04-08 Jingjing Xue , Sheng Sun , Min Liu , Yuwei Wang , Zhuotao Liu , Jingyuan Wang

A sparsifier of a graph $G$ (Bencz\'ur and Karger; Spielman and Teng) is a sparse weighted subgraph $\tilde G$ that approximately retains the cut structure of $G$. For general graphs, non-trivial sparsification is possible only by using…

数据结构与算法 · 计算机科学 2019-05-07 Nikhil Bansal , Ola Svensson , Luca Trevisan

We present a sparse analogue to stochastic gradient descent that is guaranteed to perform well under similar conditions to the lasso. In the linear regression setup with irrepresentable noise features, our algorithm recovers the support set…

统计理论 · 数学 2014-12-16 Jacob Steinhardt , Stefan Wager , Percy Liang

We study $\textit{sparse singular value certificates}$ for random rectangular matrices. If $M$ is an $n \times d$ matrix with independent Gaussian entries, we give a new family of polynomial-time algorithms which can certify upper bounds on…

数据结构与算法 · 计算机科学 2024-12-31 Ilias Diakonikolas , Samuel B. Hopkins , Ankit Pensia , Stefan Tiegel

We present SemiOccam, an image recognition network that leverages semi-supervised learning in a highly efficient manner. Existing works often rely on complex training techniques and architectures, requiring hundreds of GPU hours for…

计算机视觉与模式识别 · 计算机科学 2025-07-22 Rui Yann , Tianshuo Zhang , Xianglei Xing

The textbook algorithm for real-weighted single-source shortest paths takes $O(mn)$ time on a graph with $m$ edges and $n$ vertices. A recent breakthrough algorithm by [Fin24] takes $\tilde{O}(mn^{8/9})$ randomized time. The running time…

数据结构与算法 · 计算机科学 2025-12-01 Kent Quanrud , Navid Tajkhorshid

Current AI/ML methods for data-driven engineering use models that are mostly trained offline. Such models can be expensive to build in terms of communication and computing cost, and they rely on data that is collected over extended periods…

机器学习 · 计算机科学 2021-12-16 Xiaoxuan Wang , Rolf Stadler

Crime has become a major concern in many cities, which calls for the rising demand for timely predicting citywide crime occurrence. Accurate crime prediction results are vital for the beforehand decision-making of government to alleviate…

机器学习 · 计算机科学 2022-08-19 Zhonghang Li , Chao Huang , Lianghao Xia , Yong Xu , Jian Pei

We present a self-supervised learning (SSL) method suitable for semi-global tasks such as object detection and semantic segmentation. We enforce local consistency between self-learned features, representing corresponding image locations of…

计算机视觉与模式识别 · 计算机科学 2022-12-09 Ashraful Islam , Ben Lundell , Harpreet Sawhney , Sudipta Sinha , Peter Morales , Richard J. Radke

In the era of big data, methods for improving memory and computational efficiency have become crucial for successful deployment of technologies. Hashing is one of the most effective approaches to deal with computational limitations that…

计算机视觉与模式识别 · 计算机科学 2021-06-22 Sobhan Hemati , Mohammad Hadi Mehdizavareh , Shojaeddin Chenouri , Hamid R Tizhoosh

We propose a novel semi-supervised learning (SSL) method that adopts selective training with pseudo labels. In our method, we generate hard pseudo-labels and also estimate their confidence, which represents how likely each pseudo-label is…

机器学习 · 计算机科学 2021-03-16 Masato Ishii

Spectral hypergraph sparsification, an attempt to extend well-known spectral graph sparsification to hypergraphs, has been extensively studied over the past few years. For undirected hypergraphs, Kapralov, Krauthgamer, Tardos, and…

数据结构与算法 · 计算机科学 2023-05-12 Kazusato Oko , Shinsaku Sakaue , Shin-ichi Tanigawa

Graphs with heterophily, where adjacent nodes carry different labels, are prevalent in real-world applications, from social networks to molecular interactions. However, existing spectral Graph Neural Network (GNN) approaches tailored for…

机器学习 · 计算机科学 2026-05-13 Md Sazzad Hossen , Avimanyu Sahoo

In dictionary learning, also known as sparse coding, the algorithm is given samples of the form $y = Ax$ where $x\in \mathbb{R}^m$ is an unknown random sparse vector and $A$ is an unknown dictionary matrix in $\mathbb{R}^{n\times m}$…

数据结构与算法 · 计算机科学 2014-01-06 Sanjeev Arora , Aditya Bhaskara , Rong Ge , Tengyu Ma

We present an efficient algorithm for simulating the time evolution due to a sparse Hamiltonian. In terms of the maximum degree d and dimension N of the space on which the Hamiltonian H acts for time t, this algorithm uses (d^2(d+log*…

量子物理 · 物理学 2011-01-26 Andrew M. Childs , Robin Kothari

Image classification is a challenging problem for computer in reality. Large numbers of methods can achieve satisfying performances with sufficient labeled images. However, labeled images are still highly limited for certain image…

计算机视觉与模式识别 · 计算机科学 2020-11-12 Hongfeng Li

We propose two one-pass streaming algorithms for the $\mathcal{NP}$-hard hypergraph matching problem. The first algorithm stores a small subset of potential matching edges in a stack using dual variables to select edges. It has an…

数据结构与算法 · 计算机科学 2025-07-09 Henrik Reinstädtler , S M Ferdous , Alex Pothen , Bora Uçar , Christian Schulz

We consider the problem of data clustering with unidentified feature quality and when a small amount of labelled data is provided. An unsupervised sparse clustering method can be employed in order to detect the subgroup of features…

机器学习 · 计算机科学 2020-10-20 Avgoustinos Vouros , Eleni Vasilaki