| Package | Description | 
|---|---|
| org.apache.commons.math3.analysis.integration.gauss | Gauss family of quadrature schemes. | 
| org.apache.commons.math3.distribution | Implementations of common discrete and continuous distributions. | 
| org.apache.commons.math3.fitting.leastsquares | This package provides algorithms that minimize the residuals
 between observations and model values. | 
| org.apache.commons.math3.ml.neuralnet | Neural networks. | 
| org.apache.commons.math3.optim | 
  Generally, optimizers are algorithms that will either
   minimizeormaximizea scalar function, called theobjective
  function. | 
| org.apache.commons.math3.optimization | All classes and sub-packages of this package are deprecated. | 
| org.apache.commons.math3.util | Convenience routines and common data structures used throughout the commons-math library. | 
| Modifier and Type | Method and Description | 
|---|---|
| protected Pair<BigDecimal[],BigDecimal[]> | LegendreHighPrecisionRuleFactory. computeRule(int numberOfPoints)Computes the rule for the given order. | 
| protected Pair<Double[],Double[]> | LegendreRuleFactory. computeRule(int numberOfPoints)Computes the rule for the given order. | 
| protected Pair<Double[],Double[]> | HermiteRuleFactory. computeRule(int numberOfPoints)Computes the rule for the given order. | 
| protected abstract Pair<T[],T[]> | BaseRuleFactory. computeRule(int numberOfPoints)Computes the rule for the given order. | 
| Pair<double[],double[]> | BaseRuleFactory. getRule(int numberOfPoints)Gets a copy of the quadrature rule with the given number of integration
 points. | 
| protected Pair<T[],T[]> | BaseRuleFactory. getRuleInternal(int numberOfPoints)Gets a rule. | 
| Modifier and Type | Method and Description | 
|---|---|
| protected void | BaseRuleFactory. addRule(Pair<T[],T[]> rule)Stores a rule. | 
| Constructor and Description | 
|---|
| GaussIntegrator(Pair<double[],double[]> pointsAndWeights)Creates an integrator from the given pair of points (first element of
 the pair) and weights (second element of the pair. | 
| SymmetricGaussIntegrator(Pair<double[],double[]> pointsAndWeights)Creates an integrator from the given pair of points (first element of
 the pair) and weights (second element of the pair. | 
| Modifier and Type | Method and Description | 
|---|---|
| List<Pair<Double,T>> | MixtureMultivariateRealDistribution. getComponents()Gets the distributions that make up the mixture model. | 
| List<Pair<T,Double>> | EnumeratedDistribution. getPmf()Return the probability mass function as a list of  | 
| Constructor and Description | 
|---|
| EnumeratedDistribution(List<Pair<T,Double>> pmf)Create an enumerated distribution using the given probability mass function
 enumeration. | 
| EnumeratedDistribution(RandomGenerator rng,
                      List<Pair<T,Double>> pmf)Create an enumerated distribution using the given random number generator
 and probability mass function enumeration. | 
| MixtureMultivariateNormalDistribution(List<Pair<Double,MultivariateNormalDistribution>> components)Creates a mixture model from a list of distributions and their
 associated weights. | 
| MixtureMultivariateNormalDistribution(RandomGenerator rng,
                                     List<Pair<Double,MultivariateNormalDistribution>> components)Creates a mixture model from a list of distributions and their
 associated weights. | 
| MixtureMultivariateRealDistribution(List<Pair<Double,T>> components)Creates a mixture model from a list of distributions and their
 associated weights. | 
| MixtureMultivariateRealDistribution(RandomGenerator rng,
                                   List<Pair<Double,T>> components)Creates a mixture model from a list of distributions and their
 associated weights. | 
| Modifier and Type | Method and Description | 
|---|---|
| Pair<RealVector,RealMatrix> | MultivariateJacobianFunction. value(RealVector point)Compute the function value and its Jacobian. | 
| Modifier and Type | Method and Description | 
|---|---|
| static Pair<Neuron,Neuron> | MapUtils. findBestAndSecondBest(double[] features,
                     Iterable<Neuron> neurons,
                     DistanceMeasure distance)Finds the two neurons that best match the given features. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | SimplePointChecker<PAIR extends Pair<double[],? extends Object>>Simple implementation of the  ConvergenceCheckerinterface using
 only point coordinates. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | PointValuePairThis class holds a point and the value of an objective function at
 that point. | 
| class  | PointVectorValuePairThis class holds a point and the vectorial value of an objective function at
 that point. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | SimplePointChecker<PAIR extends Pair<double[],? extends Object>>Deprecated. 
 As of 3.1 (to be removed in 4.0). | 
| Modifier and Type | Method and Description | 
|---|---|
| static <K,V> Pair<K,V> | Pair. create(K k,
      V v)Convenience factory method that calls the
  constructor. | 
| Constructor and Description | 
|---|
| Pair(Pair<? extends K,? extends V> entry)Create an entry representing the same mapping as the specified entry. | 
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