Struct MarkovFlow 

pub struct MarkovFlow {
    pub adjacency_matrix: DMatrix<f64>,
    pub dim: usize,
    pub sink_matrix: DMatrix<f64>,
    pub sensitivity_matrix: DMatrix<f64>,
    pub influence_matrix: DMatrix<f64>,
    pub origin_matrix: DMatrix<f64>,
    pub dependency_matrix: DMatrix<f64>,
    pub in_vector: DVector<f64>,
    pub flow_vector: DVector<f64>,
    pub flow_matrix: DMatrix<f64>,
}

MarkovFlow struct contains all results of the Markov flow calculations based on an adjacency matrix, evaporation constant, and scaling toggle.

Example

extern crate nalgebra as na;
use ratio_markov::{DMatrix, DVector, MarkovFlow};
let adj = DMatrix::from_row_slice(3, 3, &[2.0, 0.5, 0.7, 1.0, 2.0, 3.0, 1.0, 2.6, 0.1]);
let markov = MarkovFlow::new(&adj, 4.0, false);

Fields

adjacency_matrix: DMatrix<f64>

Adjacency matrix with only positive values. Negatives are set to 0.0.

dim: usize

Dimension of this problem (size of adjacency matrix axes).

sink_matrix: DMatrix<f64>

Sink matrix. A probability matrix that has been provided with a evaporation sink.

sensitivity_matrix: DMatrix<f64>

Sensitivity matrix that shows how much flow from a source node ends up in another node if it were injected with 1.0.

influence_matrix: DMatrix<f64>

Influence matrix, percentage of outflow through j ends up in i.

origin_matrix: DMatrix<f64>

Origin matrix that shows how much flow originates from a source node in a target node if its flow is 1.0.

dependency_matrix: DMatrix<f64>

Dependency matrix, percentage of inflow through j coming from i.

in_vector: DVector<f64>

Input vector (ones or scaled).

flow_vector: DVector<f64>

Flow vector through each node w.r.t. input vector.

flow_matrix: DMatrix<f64>

Flow matrix denoting the resulting flow over every edge when the system is injected with in_vector.

Implementations

impl MarkovFlow

pub fn new(adj: &DMatrix<f64>, mu: f64, scale: bool) -> MarkovFlow

New MarkovFlow struct containing all Markov chain calculations.

Arguments

• adj - Square adjacency matrix with nodes in identical order on both axis. Only positive adjacency values are used in the calculations.
• mu - Evaporation constant. Factor by which flow is reduced after passing through a node.
• scale - Whether injected flow in each node should be scaled according to the output adjacency of a node.

Trait Implementations

impl Debug for MarkovFlow

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.