Struct PersistenceDiagram 

pub struct PersistenceDiagram {
    pub points: Vec<(f64, f64)>,
    pub betti_numbers: Vec<usize>,
}

A persistence diagram: collection of (birth, death) pairs and the resulting Betti numbers.

Fields

points: Vec<(f64, f64)>

(birth, death) pairs for each feature.

betti_numbers: Vec<usize>

Betti numbers β₀, β₁, β₂, … (connected components, cycles, voids, …).

Implementations

impl PersistenceDiagram

pub fn from_distance_matrix(dist: &[f64], n: usize) -> Self

Build a persistence diagram from a distance/similarity matrix.

Uses a Vietoris-Rips filtration approach. dist is a flattened n×n distance matrix (row-major). n is the number of points.

pub fn from_ndarray_matrix(mat: &Array2<f64>) -> Self

Build from an n×n ndarray distance matrix.

pub fn persistent_features(&self) -> Vec<(f64, f64)>

All persistence pairs where the feature survived (death > birth).

pub fn total_persistence(&self, p: f64) -> f64

Total persistence: Σ |d - b|^p for each feature.

pub fn is_valid(&self) -> bool

Check all points are above or on the diagonal (death ≥ birth).

Trait Implementations

impl Clone for PersistenceDiagram

fn clone(&self) -> PersistenceDiagram

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for PersistenceDiagram

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for PersistenceDiagram

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for PersistenceDiagram

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.