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Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

数据结构与算法 · 计算机科学 2023-03-17 Shanshan Wang , Chenglong Xiao

This work focuses on a class of general decentralized constraint-coupled optimization problems. We propose a novel nested primal-dual gradient algorithm (NPGA), which can achieve linear convergence under the weakest known condition, and its…

最优化与控制 · 数学 2025-05-06 Jingwang Li , Housheng Su

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

数据结构与算法 · 计算机科学 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

This paper studies a low-communication algorithm for solving elliptic partial differential equations (PDE's) on high-performance machines, the nested iteration with range decomposition algorithm (NIRD). Previous work has shown that NIRD…

数值分析 · 数学 2019-06-26 Wayne Mitchell , Tom Manteuffel

Tensor decomposition is a fundamental technique widely applied in signal processing, machine learning, and various other fields. However, traditional tensor decomposition methods encounter limitations when jointly analyzing multi-block…

机器学习 · 计算机科学 2024-06-27 Xiulin Wang , Jing Liu , Fengyu Cong

A connected graph is 4-connected if it contains at least five vertices and removing any three of them does not disconnect it. A frequent preprocessing step in graph drawing is to decompose a plane graph into its 4-connected components and…

数据结构与算法 · 计算机科学 2023-08-31 Sabine Cornelsen , Gregor Diatzko

In the multidisciplinary field of Network Science, optimization of procedures for efficiently breaking complex networks is attracting much attention from practical points of view. In this contribution we present a module-based method to…

物理与社会 · 物理学 2019-10-02 Bruno Requião da Cunha , Juan Carlos González-Avella , Sebastián Gonçalves

In the LOCAL model, low-diameter decomposition is a useful tool in designing algorithms, as it allows us to shift from the general graph setting to the low-diameter graph setting, where brute-force information gathering can be done…

数据结构与算法 · 计算机科学 2026-03-25 Yi-Jun Chang

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

最优化与控制 · 数学 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

The connectivity of networked systems is often dependent on a small portion of critical nodes. Network dismantling studies the strategy to identify a subset of nodes the removal of which will maximally destroy the connectivity of a network…

社会与信息网络 · 计算机科学 2022-05-17 Dengcheng Yan , Zijian Wu , Yi Zhang , Shiqin Qu , Yiwen Zhang , Hong Zhong

NP-hard problems such as the maximum clique or minimum vertex cover problems, two of Karp's 21 NP-hard problems, have several applications in computational chemistry, biochemistry and computer network security. Adiabatic quantum annealers…

量子物理 · 物理学 2022-03-01 Elijah Pelofske , Georg Hahn , Hristo Djidjev

Deep Feedforward Neural Networks' (DFNNs) weights estimation relies on the solution of a very large nonconvex optimization problem that may have many local (no global) minimizers, saddle points and large plateaus. As a consequence,…

最优化与控制 · 数学 2020-06-16 Laura Palagi , Ruggiero Seccia

Maintaining a $k$-core decomposition quickly in a dynamic graph has important applications in network analysis. The main challenge for designing efficient exact algorithms is that a single update to the graph can cause significant global…

数据结构与算法 · 计算机科学 2023-09-28 Quanquan C. Liu , Jessica Shi , Shangdi Yu , Laxman Dhulipala , Julian Shun

Wing and Tip decomposition construct a hierarchy of butterfly-dense edge and vertex induced bipartite subgraphs, respectively. They have applications in several domains including e-commerce, recommendation systems and document analysis.…

分布式、并行与集群计算 · 计算机科学 2021-10-26 Kartik Lakhotia , Rajgopal Kannan , Viktor Prasanna

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

统计方法学 · 统计学 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou

Matrix decomposition is one of the fundamental tools to discover knowledge from big data generated by modern applications. However, it is still inefficient or infeasible to process very big data using such a method in a single machine.…

机器学习 · 计算机科学 2020-02-11 Chihao Zhang , Yang Yang , Wei Zhang , Shihua Zhang

Backpropagation algorithm is indispensable for the training of feedforward neural networks. It requires propagating error gradients sequentially from the output layer all the way back to the input layer. The backward locking in…

机器学习 · 计算机科学 2018-07-24 Zhouyuan Huo , Bin Gu , Qian Yang , Heng Huang

Graph neural networks (GNN) have achieved state-of-the-art performance on various industrial tasks. However, the poor efficiency of GNN inference and frequent Out-Of-Memory (OOM) problem limit the successful application of GNN on edge…

机器学习 · 计算机科学 2021-04-13 Ao Zhou , Jianlei Yang , Yeqi Gao , Tong Qiao , Yingjie Qi , Xiaoyi Wang , Yunli Chen , Pengcheng Dai , Weisheng Zhao , Chunming Hu

Neural Network designs are quite diverse, from VGG-style to ResNet-style, and from Convolutional Neural Networks to Transformers. Towards the design of efficient accelerators, many works have adopted a dataflow-based, inter-layer pipelined…

机器学习 · 计算机科学 2023-06-23 Zhewen Yu , Christos-Savvas Bouganis

The reassembling of a simple connected graph G = (V,E) is an abstraction of a problem arising in earlier studies of network analysis. The reassembling process has a simple formulation (there are several equivalent formulations) relative to…

计算复杂性 · 计算机科学 2016-02-10 Saber Mirzaei , Assaf Kfoury