Crate hodge_belief 

hodge-belief

Hodge decomposition for belief states with interpretability.

Implements:

• Hodge decomposition: Split any signal into exact + coexact + harmonic components
• Belief states: Represent and decompose multi-agent belief distributions
• Interpretability: Understand why agents disagree by examining decomposition components

Uses pure Rust with no external dependencies (implements sparse-aware dense linear algebra).

Structs

BeliefInterpretation

Interpretation of a decomposed belief state.

BeliefState

A belief state over a graph.

DecomposedBelief

Decomposed belief state with interpretability.

HodgeDecomposition

Result of the Hodge decomposition of a signal on a graph.

HodgeRealization

Hodge realization: e = I - ΔG, where G is the Green’s function.

Matrix

StabilityReport

Stability report.

Enums

HodgeError

Functions

complete_laplacian

Build a complete graph Laplacian.

cycle_laplacian

Build a cycle graph Laplacian.

path_laplacian

Build a path graph Laplacian.

stability_analysis

Analyze stability of the Hodge decomposition under perturbation.

vec_add

vec_dot

vec_norm

vec_scale

vec_sub

Type Aliases

Result