Crate amari 

Amari: Advanced Mathematical Algebra for Robust Intelligence

A comprehensive mathematical computing library combining:

• Geometric algebra (Clifford algebras)
• Tropical algebra (max-plus semiring)
• Dual number automatic differentiation
• Geometric network analysis
• Information geometry
• Fusion systems for neural network optimization
• Measure theory and Lebesgue integration (opt-in via measure feature)
• Differential calculus on geometric algebra (opt-in via calculus feature)
• Holographic memory / Vector Symbolic Architectures (opt-in via holographic feature)
• Probability theory on geometric algebra (opt-in via probabilistic feature)
• Probabilistic contracts and verification (opt-in via flynn feature)
• Deterministic physics for networked applications (opt-in via deterministic feature)
• Functional analysis on multivector spaces (opt-in via functional feature)
• Algebraic topology: homology, persistent homology, Morse theory (opt-in via topology feature)
• Dynamical systems: ODE solvers, stability, bifurcations, chaos (opt-in via dynamics feature)

Use features = ["full"] to enable all optional crates.

Re-exports

pub use amari_automata as automata;

pub use amari_core as core;

pub use amari_dual as dual;

pub use amari_enumerative as enumerative;

pub use amari_fusion as fusion;

pub use amari_info_geom as info_geom;

pub use amari_network as network;

pub use amari_relativistic as relativistic;

pub use amari_tropical as tropical;

Structs

Bivector

Bivector type - wrapper around Multivector with only grade 2

Community

Result of community detection analysis

DualMultivector

Multivector with dual number coefficients for automatic differentiation

DualNumber

A dual number for automatic differentiation

DuallyFlatManifold

Dually flat manifold with e-connection and m-connection

FisherInformationMatrix

Fisher Information Matrix

GeometricEdge

Edge with geometric properties

GeometricNetwork

A network where nodes are embedded in geometric algebra space

Multivector

A multivector in a Clifford algebra Cl(P,Q,R)

NodeMetadata

Metadata associated with a network node

PropagationAnalysis

Result of information propagation analysis

Scalar

Scalar type - wrapper around Multivector with only grade 0

SimpleAlphaConnection

Simplified AlphaConnection implementation for tests

TropicalDualClifford

The core fusion type combining tropical, dual, and Clifford algebras

TropicalMatrix

A matrix in tropical algebra

TropicalMultivector

A geometric algebra multivector in tropical space

TropicalNumber

A tropical number in the max-plus semiring

Vector

Vector type - wrapper around Multivector with only grade 1

Enums

AmariError

Unified error type for the Amari library

Type Aliases

AmariResult

Result type for Amari operations