io.github.kensuke1984.kibrary.inversion

クラス ObservationEquation

java.lang.Object

io.github.kensuke1984.kibrary.inversion.ObservationEquation

public class ObservationEquation
extends java.lang.Object

Aδm=δd

This class is immutable.

関連項目:

{@link UnknownParameter}

コンストラクタのサマリー

コンストラクタ

コンストラクタと説明
ObservationEquation(PartialID[] partialIDs, java.util.List<UnknownParameter> parameterList, Dvector dVector)

メソッドのサマリー

修飾子とタイプ	メソッドと説明
org.apache.commons.math3.linear.RealVector[]	bornOut(org.apache.commons.math3.linear.RealVector m)
double	computeAmplitudeKernel(BasicID id, UnknownParameter parameter) TODO Finite frequency kernel of amplitude with respect to the parameter.
org.apache.commons.math3.linear.RealVector	computeAtD(org.apache.commons.math3.linear.RealVector d) 与えたベクトルdに対して ATdを計算する ATd = v vT = (ATd)T= dTA
double	computeTraveltimeKernel(BasicID id, UnknownParameter parameter) TODO Finite frequency kernel of time correlation with respect to the input.
org.apache.commons.math3.linear.RealMatrix	getA()
org.apache.commons.math3.linear.RealMatrix	getAtA()
org.apache.commons.math3.linear.RealVector	getAtD()
DataGenerator<org.apache.commons.math3.linear.RealVector,org.apache.commons.math3.linear.RealVector[]>	getBornGenerator()
int	getDlength()
Dvector	getDVector()
int	getMlength()
java.util.List<UnknownParameter>	getparameterList()
org.apache.commons.math3.linear.RealVector	getPartialOf(BasicID basicID, UnknownParameter parameter)
org.apache.commons.math3.linear.RealVector	getPartialOf(UnknownParameter parameter)
DataGenerator<org.apache.commons.math3.linear.RealVector,java.lang.Double>	getVarianceGenerator()
org.apache.commons.math3.linear.RealVector	operate(org.apache.commons.math3.linear.RealVector m) Computes Am
double	varianceOf(org.apache.commons.math3.linear.RealVector m) Aδm = δd 求めたいのは (δd - Aδm)T(δd - Aδm) / |obs|2 (δdT - δmTAT)(δd - Aδm) = δdTδd - δdT Aδm - δmTATδd + δmTATAδm = δdT δd - 2*(ATδd)δmT + δmT(ATA)δm

クラスから継承されたメソッド java.lang.Object

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

コンストラクタの詳細

ObservationEquation

public ObservationEquation(PartialID[] partialIDs,
                           java.util.List<UnknownParameter> parameterList,
                           Dvector dVector)

パラメータ:

partialIDs - for A

parameterList - for δm

dVector - for δd

メソッドの詳細

getDlength

public int getDlength()

bornOut

public org.apache.commons.math3.linear.RealVector[] bornOut(org.apache.commons.math3.linear.RealVector m)

パラメータ:

m - 解のベクトル

戻り値:

Amをsyntheticに足したd列 順番はDvectorと同じ

computeTraveltimeKernel

public double computeTraveltimeKernel(BasicID id,
                                      UnknownParameter parameter)

TODO Finite frequency kernel of time correlation with respect to the input.

パラメータ:

id - of the kernel.

parameter - for K.

戻り値:

K_p^T.

computeAmplitudeKernel

public double computeAmplitudeKernel(BasicID id,
                                     UnknownParameter parameter)

TODO Finite frequency kernel of amplitude with respect to the parameter.

パラメータ:

id - of the kernel.

parameter - for K.

戻り値:

K_p^lnA.

varianceOf

public double varianceOf(org.apache.commons.math3.linear.RealVector m)

Aδm = δd 求めたいのは (δd - Aδm)^T(δd - Aδm) / |obs|²

(δd^T - δm^TA^T)(δd - Aδm) = δd^Tδd - δd^T Aδm - δm^TA^Tδd + δm^TA^TAδm = δd^T δd - 2*(A^Tδd)δm^T + δm^T(A^TA)δm

パラメータ:

m - δm

戻り値:

|Aδm - δd|²/|obs|²

getA

public org.apache.commons.math3.linear.RealMatrix getA()

戻り値:

(deep)copy of A, which can be heavy load.

getAtA

public org.apache.commons.math3.linear.RealMatrix getAtA()

getPartialOf

public org.apache.commons.math3.linear.RealVector getPartialOf(UnknownParameter parameter)

パラメータ:

parameter - target unknown parameter

戻り値:

the column of A for the parameter

getPartialOf

public org.apache.commons.math3.linear.RealVector getPartialOf(BasicID basicID,
                                                               UnknownParameter parameter)

パラメータ:

basicID - target ID

parameter - target parameter

戻り値:

timewindow of partial derivative for the basicID with respect to the parameter.

computeAtD

public org.apache.commons.math3.linear.RealVector computeAtD(org.apache.commons.math3.linear.RealVector d)

与えたベクトルdに対して A^Tdを計算する

A^Td = v

v^T = (A^Td)^T= d^TA

パラメータ:

d - of A^Td

戻り値:

A^Td

getparameterList

public java.util.List<UnknownParameter> getparameterList()

getAtD

public org.apache.commons.math3.linear.RealVector getAtD()

getDVector

public Dvector getDVector()

getMlength

public int getMlength()

operate

public org.apache.commons.math3.linear.RealVector operate(org.apache.commons.math3.linear.RealVector m)

Computes Am

パラメータ:

m - for Am

戻り値:

Am

getBornGenerator

public DataGenerator<org.apache.commons.math3.linear.RealVector,org.apache.commons.math3.linear.RealVector[]> getBornGenerator()

戻り値:

generator of born waveforms

getVarianceGenerator

public DataGenerator<org.apache.commons.math3.linear.RealVector,java.lang.Double> getVarianceGenerator()