The planted densest subgraph problem
Webb2 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. … 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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WebbConscious and functional use of online social spaces can support the elderly with mind cognitive impairment (MCI) in their daily routine, not only for systematic monitoring, but to achieve effective targeted engagement. In this sense, although social involvement can be obtained when elder’s experiences, interests, and goals are shared and accepted … Webb15 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 evidence of a phase transition...
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, ... Webb2 maj 2012 · Roughly speaking, the densest subgraph problem is tantamount to figuring out whether or not the seller planted mortgages with no payout in of the CDOs he issued. The seller then has preferences for maximizing the total amount of lemons costs he can extract from the buyer, subject to the constraint that there is no polynomial time …
Webbsubgraph is sparse, and one where every k-subgraph is even sparser. In contrast, our result has perfect com-pleteness and provides the rst additive inapproxima-bility for Densest k-Subgraph the best one can hope for as per the upper bound of [Bar15]. Planted Clique The Planted Clique problem is a special case of our problem, where the inputs 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 …
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 ...
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]. cogghe schotenWebbRounding Sum-of-Squares Relaxations Boaz Barak Jonathan Kelnery David Steurerz December 23, 2013 Abstract We present a general approach to rounding semidefinite programming relax cogges school witneyWebbPlanted 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。 cogghe bateauWebbundirected graph, the original DSD problem [34] finds a subgraph with the highest edge-density, which is defined as the number of edges over the number of vertices in the subgraph, and it is often termed as densest subgraph (DS). This problem was also studied on directed graphs [39] by extending the above edge-density for considering the edge ... cogg hill farmsWebb14 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 … cogg hillWebbDetermining 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 … coggin 60s sofa tuxedoWebb25 mars 2024 · The densest k-subgraph problem is the problem of finding a k-vertex subgraph of a graph with the maximum number of edges. In order to solve large … coggin at the avenues