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breeze.optimize

LBFGSB

Related Docs: object LBFGSB | package optimize

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class LBFGSB extends FirstOrderMinimizer[DenseVector[Double], DiffFunction[DenseVector[Double]]] with SerializableLogging

This algorithm is refered the paper "A LIMITED MEMOR Y ALGORITHM F OR BOUND CONSTRAINED OPTIMIZA TION" written by Richard H.Byrd Peihuang Lu Jorge Nocedal and Ciyou Zhu Created by fanming.chen on 2015/3/7 0007. If StrongWolfeLineSearch(maxZoomIter,maxLineSearchIter) is small, the wolfeRuleSearch.minimize may throw FirstOrderException, it should increase the two variables to appropriate value

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  1. LBFGSB
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  4. Serializable
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  6. Minimizer
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Instance Constructors

  1. new LBFGSB(lowerBounds: DenseVector[Double], upperBounds: DenseVector[Double], maxIter: Int = 100, m: Int = 5, tolerance: Double = 1E-8, maxZoomIter: Int = 64, maxLineSearchIter: Int = 64)

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Type Members

  1. case class History(theta: Double, W: DenseMatrix[Double], M: DenseMatrix[Double], yHistory: DenseMatrix[Double], sHistory: DenseMatrix[Double]) extends Product with Serializable

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    W

    [Yk theta * Sk]

  2. type State = FirstOrderMinimizer.State[DenseVector[Double], Info, History]

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    Definition Classes
    FirstOrderMinimizer

Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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    Definition Classes
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  4. val EPS: Double

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    Attributes
    protected
  5. def adjust(newX: DenseVector[Double], newGrad: DenseVector[Double], newVal: Double): (Double, DenseVector[Double])

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    Attributes
    protected
    Definition Classes
    FirstOrderMinimizer
  6. def adjustFunction(f: DiffFunction[DenseVector[Double]]): DiffFunction[DenseVector[Double]]

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    Attributes
    protected
    Definition Classes
    FirstOrderMinimizer
  7. def adjustWithinBound(point: DenseVector[Double]): Unit

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  8. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  9. def calculateObjective(f: DiffFunction[DenseVector[Double]], x: DenseVector[Double], history: History): (Double, DenseVector[Double])

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    Attributes
    protected
    Definition Classes
    FirstOrderMinimizer
  10. def chooseDescentDirection(state: State, f: DiffFunction[DenseVector[Double]]): DenseVector[Double]

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    Attributes
    protected
    Definition Classes
    LBFGSBFirstOrderMinimizer
  11. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
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    Annotations
    @throws( ... )
  12. val convergenceCheck: ConvergenceCheck[DenseVector[Double]]

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    Definition Classes
    FirstOrderMinimizer
  13. def determineStepSize(state: State, f: DiffFunction[DenseVector[Double]], direction: DenseVector[Double]): Double

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    Attributes
    protected
    Definition Classes
    LBFGSBFirstOrderMinimizer
  14. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  15. def equals(arg0: Any): Boolean

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    Definition Classes
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  16. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
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    Annotations
    @throws( classOf[java.lang.Throwable] )
  17. def findAlpha(xCauchy: DenseVector[Double], du: Vector[Double], freeVarIndex: Array[Int]): Double

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    xCauchy

    generalize cauchy point

    du

    gradient directiong

    returns

    starAlpha = max{a : a <= 1 and l_i-xc_i <= a*d_i <= u_i-xc_i}

    Attributes
    protected
  18. final def getClass(): Class[_]

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    Definition Classes
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  19. def getGeneralizedCauchyPoint(history: History, x: DenseVector[Double], g: DenseVector[Double]): (DenseVector[Double], DenseVector[Double])

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    Attributes
    protected
  20. def hashCode(): Int

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    Definition Classes
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  21. def infiniteIterations(f: DiffFunction[DenseVector[Double]], state: State): Iterator[State]

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    Definition Classes
    FirstOrderMinimizer
  22. def initialHistory(f: DiffFunction[DenseVector[Double]], init: DenseVector[Double]): History

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    Attributes
    protected
    Definition Classes
    LBFGSBFirstOrderMinimizer
  23. def initialState(f: DiffFunction[DenseVector[Double]], init: DenseVector[Double]): State

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    Attributes
    protected
    Definition Classes
    FirstOrderMinimizer
  24. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  25. def iterations(f: DiffFunction[DenseVector[Double]], init: DenseVector[Double]): Iterator[State]

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    Definition Classes
    FirstOrderMinimizer
  26. def logger: LazyLogger

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    Attributes
    protected
    Definition Classes
    SerializableLogging
  27. def minimize(f: DiffFunction[DenseVector[Double]], init: DenseVector[Double]): DenseVector[Double]

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    Definition Classes
    FirstOrderMinimizerMinimizer
  28. def minimizeAndReturnState(f: DiffFunction[DenseVector[Double]], init: DenseVector[Double]): State

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    Definition Classes
    FirstOrderMinimizer
  29. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  30. final def notify(): Unit

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    Definition Classes
    AnyRef
  31. final def notifyAll(): Unit

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  32. def subspaceMinimization(history: History, xCauchy: DenseVector[Double], x: DenseVector[Double], c: DenseVector[Double], g: DenseVector[Double]): DenseVector[Double]

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    Attributes
    protected
  33. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
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  34. def takeStep(state: State, dir: DenseVector[Double], stepSize: Double): DenseVector[Double]

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    Attributes
    protected
    Definition Classes
    LBFGSBFirstOrderMinimizer
  35. def toString(): String

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    Definition Classes
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  36. def updateHistory(newX: DenseVector[Double], newGrad: DenseVector[Double], newVal: Double, f: DiffFunction[DenseVector[Double]], oldState: State): History

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    Attributes
    protected
    Definition Classes
    LBFGSBFirstOrderMinimizer
  37. def updateSkYkHessianApproxMat(history: History, newS: DenseVector[Double], newY: DenseVector[Double]): History

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    Attributes
    protected
  38. final def wait(): Unit

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    Definition Classes
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    Annotations
    @throws( ... )
  39. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
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    @throws( ... )
  40. final def wait(arg0: Long): Unit

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    Definition Classes
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    Annotations
    @throws( ... )

Inherited from SerializableLogging

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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