The planted densest subgraph problem
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]. 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
The planted densest subgraph problem
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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。 Webb20 apr. 2024 · The problem of finding dense components of a graph is a major primitive in graph mining and data analysis. The densest subgraph problem (DSP) that asks to find …
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 … 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,
WebbMore 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 ... WebbRounding Sum-of-Squares Relaxations Boaz Barak Jonathan Kelnery David Steurerz December 23, 2013 Abstract We present a general approach to rounding semidefinite programming relax
Webb6 nov. 2024 · We then move a step forward and showcase an application of the multilayer core-decomposition tool to the problem of densest-subgraph extraction from multilayer networks. We introduce a definition of multilayer densest subgraph that trades-off between high density and number of layers in which the high density holds, ...
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 … smallman excel templatesWebb7 apr. 2024 · このサイトではarxivの論文のうち、30ページ以下でCreative Commonsライセンス（CC 0, CC BY, CC BY-SA）の論文を日本語訳しています。 son motivation sayingsWebb19 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. son mother dance weddingWebbIn 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 … small mandarin carbsIn graph theory and computer science, a dense subgraph is a subgraph with many edges per vertex. This is formalized as follows: let G = (V, E) be an undirected graph and let S = (VS, ES) be a subgraph of G. Then the density of S is defined to be: The densest subgraph problem is that of finding a subgraph of maximum dens… small manifoldWebbHowever,when looking for the "densest at-most-k subgraph" or "densest at-least-k" subgraph, the two definitions of density appear importantly different. Densest at-most-k subgraph: Using the average-degree definition, this problem is NP-hard, and its approximability is essentially equivalent to that of the classic "k-densest subgraph" … small mandarin orange nutrition factsWebb15 apr. 2024 · Using the first moment method, we study the densest subgraph problems for subgraphs with fixed, but arbitrary, overlap size with the planted clique, and provide … sonmovingui