On the game p-Laplacian on weighted graphs with applications in image processing and data clustering†
Sign Up to like & getrecommendations! Published in 2017 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792517000122
Abstract: Game-theoretic p-Laplacian or normalized p-Laplacian operator is a version of classical variational p-Laplacian which was introduced recently in connection with stochastic games called Tug-of-War with noise (Peres et al. 2008, Tug-of-war with noise: A game-theoretic… read more here.
Keywords: weighted graphs; game; operator; image processing ... See more keywords
Accurately modeling biased random walks on weighted networks using node2vec+
Sign Up to like & getrecommendations! Published in 2022 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btad047
Abstract: Motivation Accurately representing biological networks in a low-dimensional space, also known as network embedding, is a critical step in network-based machine learning and is carried out widely using node2vec, an unsupervised method based on biased… read more here.
Keywords: random walks; biased random; weighted graphs; using node2vec ... See more keywords
Differentially Private Weighted Graphs Publication Under Continuous Monitoring
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Mobile Computing"
DOI: 10.1109/tmc.2024.3514153
Abstract: Graph data analysis has been used in various real-world applications to improve services or scientific research, which, however, may expose sensitive personal information. Differential privacy (DP) has become the gold standard for publishing graph data… read more here.
Keywords: weighted graph; weighted graphs; differentially private; graph data ... See more keywords
Liouville type theorem for a system of elliptic inequalities on weighted graphs without (p0)-condition
Sign Up to like & getrecommendations! Published in 2024 at "Mathematica Slovaca"
DOI: 10.1515/ms-2024-0091
Abstract: Abstract In this paper, we study the existence and nonexistence of solutions of a system of inequalities Δu+h1vp≤0 in V,Δv+h2uq≤0 in V, $$\begin{array}{} \displaystyle \begin{cases} \Delta u+h_1v^p\le 0\text{ in } V, \\ \Delta v+h_2 u^q\le 0\text{ in } V,… read more here.
Keywords: system; weighted graphs; type theorem; liouville type ... See more keywords