dynamic

This module implements algorithms for optimization and sampling for consensus based particles systems. All the dynamics inherit from the base class ParticleDynamic.

class polarcbo.dynamic.ParticleDynamic(x, V, beta=1.0)[source]

Bases: object

Particle dynamic class

This class implements the base particle dynamic class. It is used to update the particles in the consensus schemes.

Parameters:

x (array_like, shape (J, d)) – The initial positions of the particles. For a system of \(J\) particles, the i-th row of this array x[i,:] represents the position \(x_i\) of the i-th particle.
V (obejective) – The objective function \(V(x)\) of the system.
beta (float, optional) – The heat parameter \(\beta\) of the system. The default is 1.0.

Standard Consensus Based Schemes

The following classes implement standard consensus based schemes.

CBO

Consensus-based optimization (CBO) class

Polarized Consensus Based Schemes

The following classes implement polarized consensus based schemes as described in [1].

`PolarCBO`	Polarized CBO class
`PolarCBS`	Polarized CBS class

Cluster Consensus Based Schemes

These classes implement cluster consensus based schemes as described in [1].

`CCBO`	Cluster CBO class
`CCBS`	Cluster CBO class

Not maintained

The following classes implement dynmaics that are currently not maintained.

`EMCBO`	EMCBO class
`KMeansCBO`	KMeansCBO class