mml

Class Graphs.GERfixed

java.lang.Object

la.la.Value

la.la.Function

la.la.Function.Native

mml.UPModel

mml.Graphs

mml.Graphs.IndependentEdges

mml.Graphs.GERfixed

All Implemented Interfaces:

java.lang.Comparable<Value>

Enclosing class:

Graphs

public static class Graphs.GERfixed
extends Graphs.IndependentEdges

Common special case of the Graphs.IndependentEdges Model where upmE() is MultiState over [0, 1]. In particular, the statistical parameters of Graphs.IndependentEdges.M.mdlE() control the probability of a possible Edge existing. The fully parameterised Model is Graphs.GERfixed.M. (GERadaptive is closely related.) Also see
E. N. Gilbert, Random graphs, Annals of Math. Stats. (Inst. Math. Stats.) 30, pp.1141-1144, 1959, and
P. Erdos & A. Renyi, On random graphs, Publ. Math. Debrecen, 6, pp.290-297, 1959.

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
class	Graphs.GERfixed.M The fully parameterised Gilbert, Erdos-Renyi Model of Graphs.

Nested classes/interfaces inherited from class mml.Graphs

Graphs.GERadaptive, Graphs.GERfixed, Graphs.IndependentEdges, Graphs.Motifs, Graphs.Skewed

Nested classes/interfaces inherited from class mml.UPModel

UPModel.Est, UPModel.Transform

Nested classes/interfaces inherited from class la.la.Function.Native

Function.Native.WithInverse

Nested classes/interfaces inherited from class la.la.Function

Function.Cts2Cts, Function.Cts2Cts2Cts, Function.CtsD2CtsD, Function.HasInverse, Function.Native, Function.Native2, Function.Native3

Nested classes/interfaces inherited from class la.la.Value

Value.Atomic, Value.Bool, Value.Char, Value.Chars, Value.Cts, Value.Defer, Value.Discrete, Value.Enum, Value.Inc_Or, Value.Int, Value.Lambda, Value.List, Value.Maybe, Value.Option, Value.Real, Value.Scannable, Value.Structured, Value.Triv, Value.Tuple

Field Summary

Fields inherited from class mml.Graphs.IndependentEdges

upmE

Fields inherited from class mml.Graphs

gType, upmV

Fields inherited from class mml.UPModel

dp

Fields inherited from class la.la.Value

C, comparator, CR, E, eight, ffalse, five, fiveR, four, fourR, half, negCR, negOne, negOneR, negTenR, nilVal, nine, None, one, oneR, PI, PIby2, point01, point1, point5, point9, quarter, seven, six, ten, tenR, three, threeR, triv, ttrue, two, twoR, zero, zeroR

Constructor Summary

Constructors

Constructor and Description
GERfixed(Value dp) Problem defining parameters dp = ⟨gType, upmV()⟩.

Method Summary

Modifier and Type	Method and Description
Discretes.Bounded.M	ds2mdlE(Value ps, Vector ds) Estimate a Discretes.Bounded.M, of Edge existence (0/1, false/true) from 'ds', a data-set of Graphs.
UPModel.Est	estimator(Value ps) Graphs.IndependentEdges.estimator(la.la.Value)(pair(ps,triv)), the triv for MultiState's estimator.
Graphs.GERfixed.M	sp2Model(double msg1, double msg2, Value sp) Given two-part message lengths msg1 & msg2, and statistical parameter sp, return a fully parameterised M-Model.

Methods inherited from class mml.Graphs.IndependentEdges

upmE

Methods inherited from class mml.Graphs

ds2mdlV, gType, stats, stats, upmV, vStats

Methods inherited from class mml.UPModel

apply, defnParams, main, stats, stats, toString, transform

Methods inherited from class la.la.Function

bOp, fromBop, fromUop, type, uOp

Methods inherited from class la.la.Value

AoM, bOp, compareTo, cons, cts, elt, errMsg, error, force, isTuple, just, n, nElts, nlAoM, pair, print, quad, real, RTE, triple, tuple, UOE, x

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

GERfixed

public GERfixed(Value dp)

Problem defining parameters dp = ⟨gType, upmV()⟩. Note, it is hard-wired that upmE() is MultiState over [0,1].

Method Detail

ds2mdlE

public Discretes.Bounded.M ds2mdlE(Value ps,
                                   Vector ds)

Description copied from class: Graphs.IndependentEdges

Estimate a Discretes.Bounded.M, of Edge existence (0/1, false/true) from 'ds', a data-set of Graphs. Requires parameter 'ps' for upmE's estimator(ps). Also see Graphs.IndependentEdges.M.mdlE().

Specified by:

ds2mdlE in class Graphs.IndependentEdges

estimator

public UPModel.Est estimator(Value ps)

Graphs.IndependentEdges.estimator(la.la.Value)(pair(ps,triv)), the triv for MultiState's estimator.

Overrides:

estimator in class Graphs.IndependentEdges

sp2Model

public Graphs.GERfixed.M sp2Model(double msg1,
                                  double msg2,
                                  Value sp)

Description copied from class: UPModel

Given two-part message lengths msg1 & msg2, and statistical parameter sp, return a fully parameterised M-Model. If 'this' UPModel produces a Model m, then sp2Model(m.msg1(), m.msg2(), m.statParams()) must be equivalent to m. Also see apply(sp).

Specified by:

sp2Model in class Graphs.IndependentEdges