The planted densest subgraph problem

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August undefined, 2024

Webb14 aug. 2024 · Our objective captures both the standard densest subgraph problem and the maximum k-core as special cases, and provides a way to interpolate between and … WebbETH? Recall that the Planted Clique conjecture is that there is no polynomial time algorithm that distinguishes random graphs with graphs that have a planted -clique. Hence, 1. PC is a special (average) case of the 1 2-v.s.-1 Densest- -Subgraph problem. 2. [AAM+11] showed that PC also implies hardness for the easier (1)-v.s.-1 Densest- -Subgraph,

NeurIPS 2024 上的图神经网络论文 - 知乎

Webbthe conjectured hardness of the planted densest subgraph problem which is a planted variant of the well-studied densest subgraph problem. This assumption was previously used to design public-key encryptions schemes (Applebaum et al., STOC ’10) and to study the computational complexity of ﬁnancial products (Arora et al., ICS ’10). ∗seny ... small nugget ice machine maker

Using Gaussian Boson Sampling to Find Dense Subgraphs

Webb•We deﬁne the notion of densest at least k 1,k 2 subgraph problem for directed graphs and give a 2-approximation algorithm for it. – Densest at most k subgraph problem (Section 4): •We show that approximating the densest at most k subgraph problem is as hard as the densest k subgraph problem within a constant factor, speciﬁcally an α Webb15 apr. 2024 · The Landscape of the Planted Clique Problem: Dense subgraphs and the Overlap Gap Property David Gamarnik, Ilias Zadik In this paper we study the … Webb29 apr. 2024 · We propose some natural semi-random models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest … small number bottom right of a number

Maximum Quadratic Assignment Problem: Reduction from …

http://sud03r.github.io/papers/approx-19.pdf Webb29 apr. 2024 · Abstract: Given an undirected graph $G$, the Densest $k$-subgraph problem (DkS) asks to compute a set $S \subset V$ of cardinality $\left\lvert S\right\rvert \leq k$ … small number above letterWebbRounding Sum-of-Squares Relaxations Boaz Barak Jonathan Kelnery David Steurerz December 23, 2013 Abstract We present a general approach to rounding semideﬁnite programming relax small number below letter

"WebbReview 2. Summary and Contributions: The authors study the problem of selecting k out of n random variables to maximize either the expected highest value or the expected second highest value, motivated by welfare and revenue maximization problems in auctions with a limit on the number of bidders (among other applications).The authors show that when … " - The planted densest subgraph problem

The planted densest subgraph problem

The Dense k -Subgraph Problem SpringerLink

WebbDense subgraph discovery is an important primitive for many real-world applications such as community detection, link spam detection, distance query indexing, and computa-tional biology. In this thesis, our focus is on solving the densest subgraph problem - ﬁnding a subgraph with the highest average degree in a graph. WebbDensest subgraph problem (DSG) and the densest subgraph local decomposition problem. Faster and Scalable Algorithms for Densest Subgraph and Decomposition; Optimization. Semi-Supervised Learning with Decision Trees: Graph Laplacian Tree Alternating Optimization; Dimension Reduction. A Probabilistic Graph Coupling View of Dimension …

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WebbIn problem of sparse principal components analysis (SPCA), the goal is to use n i.i.d. samples to estimate the leading eigenvector(s) of a p times p covariance matrix, which are known a priori to be sparse, say with at most k non-zero entries. This paper studies SPCA in the high-dimensional regime, where the model dimension p, sparsity index k, and sample … Webb25 mars 2024 · The Densest Subgraph Problem requires to find, in a given graph, a subset of vertices whose induced subgraph maximizes a measure of density. The problem has received a great deal of attention in the algorithmic literature over the last five decades, with many variants proposed and many applications built on top of this basic definition.

WebbDetermining the optimal feature set is a challenging problem, especially in an unsupervised domain. To mitigate the same, this paper presents a new unsupervised feature selection method, termed as densest feature graph augmentation with disjoint feature clusters. The proposed method works in two phases. The first phase focuses on finding the maximally … WebbThe Densest Subgraph Problem can be solved using 2 algorithms. They are. Max flow based algorithm in Directed graphs. Flow based algorithms by Goldberg in undirected graphs. Greedy Algorithm which gives 2-Approx algorithm in undirected and directed graphs. We have seen flow based algorithms and Max flow/min cut based algorithms in …

Webb5 juni 2024 · Notice that the Densest-Subgraph problem can be extended also to edge-weighted networks. Recently, Wu et al. ... In Synthetic1, each planted dense subgraph contains 30 nodes and has edge weights randomly generated in the interval [0.8, 1]. WebbPlanted Bipartite Graph Detection [23.50927042762206] ランダムグラフに隠れた二部グラフを検出するタスクについて検討する。我々は、この検出問題に対して、密度とスパース状態の両方において、厳密な上界と下界を導出する。

Webb19 juli 2024 · Here we show that Gaussian boson sampling (GBS) can be used for dense subgraph identification. Focusing on the NP-hard densest k -subgraph problem, we find that stochastic algorithms are enhanced through GBS, which selects dense subgraphs with high probability.

WebbThis paper considers the problem of computing the dense k -vertex subgraph of a given graph, namely, the subgraph with the most edges. An approximation algorithm is … highlight excel cell based on valueWebb2 The densest k-subgraph problem The density of a graph G= (V;E) is de ned to be the average number of edges incident at a vertex or average degree of G: d(G) = jEj=jVj:The … small number outside in need of a drinkWebb18 jan. 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly … small number of employeesWebb2 okt. 2024 · The planted densest subgraph detection problem refers to the task of testing whether in a given (random) graph there is a subgraph that is unusually dense. … small number of studentsWebbHowever, frequently the densest subgraph problem fails in detecting large near-cliques in networks. In this work, we introduce the k-clique densest subgraph problem, k ≥ 2. This generalizes the well studied densest subgraph problem which is obtained as a … small number stencils printableWebbMore broadly, the max-exposure problem is related to the densest k-subgraph problem in hypergraphs. In the densest k-subhypergraph problem, we are given a hypergraph H= (X;E), and we want to nd a set of kvertices with a maximum number of induced hyperedges. In general hypergraphs, nding k-densest subgraphs is known to be (conditionally) hard to ... small number subscript typerWebbrandom models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in them. These models are inspired by … highlight excel