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A physical model for efficient ranking in networks
TLDR
A physically inspired model and an efficient algorithm to infer hierarchical rankings of nodes in directed networks that assigns real-valued ranks to nodes rather than simply ordinal ranks and formalizes the assumption that interactions are more likely to occur between individuals with similar ranks.
Are ‘Water Smart Landscapes’ Contagious? An Epidemic Approach on Networks to Study Peer Effects
TLDR
It is shown that epidemic spreading models provide more flexibility in modeling assumptions, and also provide one mechanism for addressing problems associated with correlated unobservables than hazards models which can also be applied to address the same questions.
Principled network extraction from images
TLDR
This work presents a principled model to extract network topologies from images that is scalable and efficient, relies on recent results from optimal transport theory and is a principled alternative to standard image-processing techniques that are based on heuristics.
Reciprocity, community detection, and link prediction in dynamic networks
TLDR
A probabilistic generative model with hidden variables that integrates reciprocity and communities as structural information of networks that evolve in time that captures the reciprocity of real networks better than standard models with only community structure, while performing well at link prediction tasks.
Designing optimal networks for multicommodity transport problem
TLDR
A model based on optimal transport theory for finding optimal multi-commodity flow configurations on networks introduces a dynamics that regulates the edge conductivities to achieve a minimum of a Lyapunov functional given by the sum of a convex transport cost and a concave infrastructure cost.
Nonequilibrium statistical mechanics of the heat bath for two Brownian particles.
TLDR
It is pointed out that the inclusion of the environment as a part of the whole system is important for micron- or nanoscale physics.
Matrix product algorithm for stochastic dynamics on networks applied to nonequilibrium Glauber dynamics.
TLDR
An efficient method is introduced for the precise simulation of stochastic dynamical processes on locally treelike graphs based on a matrix product approximation of the so-called edge messages-conditional probabilities of vertex variable trajectories based on ideas from quantum many-body theory.
Multicommodity routing optimization for engineering networks
TLDR
This work considers different response functions—quantities determining the interaction between passengers—in the dynamics implementing the optimal transport formulation, and observes that optimal transport networks lie in the Pareto front drawn by the energy dissipated by passengers, and the cost to build the infrastructure.