The planted densest subgraph problem

Author: msbw

August undefined, 2024

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 … 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 …

Flowless: Extracting Densest Subgraphs Without Flow Computations

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 $\left\lvert S\right\rvert \leq k$ … Webb2 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 … biz threads oldsmar

(PDF) The Landscape of the Planted Clique Problem: Dense

Webbrandom models of instances with a planted dense subgraph, and study approximation algorithms for computing the densest subgraph in them. These models are inspired by … Webb20 dec. 2024 · The densest subgraph problem is one of the most well-studied optimization problems. Let G= (V,E,w) be an edge-weighted undirected graph consisting of n= V … 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 … dates february 2022

Using Gaussian Boson Sampling to Find Dense Subgraphs

Dense subgraph - Wikipedia

WebbHowever,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" … 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 biz threads oldsmar flWebbHowever, the problem is not even known to be APX-hard (under standard com-plexity assumptions). Feige [15] showed that the Densest k-Subgraph Problem does not admit a ˆ-approximation (for some universal constant ˆ>1) assuming that random 3-SAT formulas are hard to refute. Khot [19] ruled out PTAS for the problem under the assumption that ... dates federal estimated taxes due

"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. " - The planted densest subgraph problem

The planted densest subgraph problem

ETH Hardness for Densest-k-Subgraph with Perfect Completeness

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 ...

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WebbHowever, 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 … 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...

Webb18 jan. 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly … 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

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 …

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 …

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. dates fastingWebbRecently, [Andersen and Chellapilla 2009] considered two variations of the problem of ﬁnding a densest k subgraph. The ﬁrst problem, the densest at-least-k-subgraph prob-lem (DalkS) asks for an induced subgraph of highest density among all subgraphs with at least k nodes. This relaxation makes DalkS signiﬁcantly easier to approximate and An- dates first covid lockdownWebb20 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 … dates federal reserve is closedWebbthe 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 ... dates final fourWebbSpecGreedy: Unified Dense Subgraph Detection. SpecGreedy is a unified fast algorithm for the generalized densest subgraph detection problem (GenDS) based on the graph spectral properties and a greedy peeling approach.. Theory & Correspondences: the unified formulation, GenDS, subsumes many real problems from different applications; and its … bizthusiasm a.sWebb15 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 … biz threadshttp://sud03r.github.io/papers/approx-19.pdf biz the intense art of simon bisley