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API Docs / Microsoft.VisualBasic.Math.Core

Microsoft.VisualBasic.Math.Core 5.0.9753.4776.

Namespaces 40 Types 203 Members 1727

01 Namespaces

Microsoft.VisualBasic.Math

TypeSummary Members
Crc32 Crc32校验码 4
Extensions 向量以及统计函数拓展 35
NumberExtension https://github.com/cobaltblueocean/Mercury.Language.Extensions 13

Microsoft.VisualBasic.Math.Distributions

TypeSummary Members
Abundance 4
AxisDensity 2
BesselFunctions 修正贝塞尔函数(modified Bessel function)第一类 I_ν(x) 的实现。 本模块对应 R 语言之中的 besselI(x, nu, expon.scaled = FALSE), 用于 Skellam 分布的概率密度函数计算(参见 dskellam)。 7
Beta Beta distribution 1
Bootstraping Data sampling bootstrapping extensions 11
ChiSquareDistribution 卡方分布(中心与非中心)的分布函数,对应 R 语言之中的 pchisq。 非中心卡方分布是 Skellam 分布累积分布函数的核心依赖 (参见 Resources\pskellam.txt):两个 Poisson 变量之差的 累积分布可以通过非中心卡方分布精确表达。 7
DirichletDistribution Dirichlet distribution In probability and statistics, the Dirichlet distribution (after Peter Gustav Lejeune Dirichlet), often denoted {\displaystyle \operatorname {Dir} ({\bo… 5
ECDF Empirical distribution function In statistics, an empirical distribution function (commonly also called an empirical cumulative distribution function, eCDF) is the distributio… 3
Gaussian Gaussian function https://en.wikipedia.org/wiki/Gaussian_function 4
MathGamma gamma function (Γ) from mathematics 4
pnorm 正态分布帮助模块 16
PoissonDiskGenerator cf paper: Fast Poisson Disk Sampling in Arbitrary Dimensions. 16
TrIQ Contrast optimization of mass spectrometry imaging (MSI) data visualization by threshold intensity quantization (TrIQ) 4

Microsoft.VisualBasic.Math.Distributions.Abundance

TypeSummary Members
AlgorithmType the algorithms for computing kurtosis/skewness 6

Microsoft.VisualBasic.Math.Distributions.BinBox

TypeSummary Members
BinMaps 6
CutBins 进行数据分箱操作 9
DataBinBox 数据分箱之中的一个bucket 7
Violin 8

Microsoft.VisualBasic.Math.Distributions.Summary

TypeSummary Members
SampleDistribution The data sample model 20
StreamingSampleDistribution Streaming builder of the SampleDistribution model. 13
ToString 7

Microsoft.VisualBasic.Math.Distributions.Summary.StreamingSampleDistribution

TypeSummary Members
Bucket histogram bin: 计数 + 桶内精确的 [min, max] 3

Microsoft.VisualBasic.Math.DownSampling

TypeSummary Members
Bucket A bucket holds a subset of events and select significant events from it 2
BucketBasedAlgorithm General algorithm using buckets to downsample events: Prepare data.Split events into buckets.Calculate weight of events.Select significant events from each bucket. 5
BucketSplitter Split up events into buckets 1
DownSamplingAlgorithm Interface for downSampling algorithms 1
DSAlgorithms Downsampling algorithms for time series data(LTOB, LTTB, LTD, OSI-PI Plot) 16
FixedNumBucketSplitter Assign the first event to the first bucket, the last event to the last bucket. 1
FixedTimeBucketSplitter Split data into buckets with equal time span 2

Microsoft.VisualBasic.Math.DownSampling.LargestTriangleBucket

TypeSummary Members
LinkedBucketNode Tow-way linked list to perform bucket split and merge. 13
LTABuilder A builder class for LT Algorithms. 9
LTAlgorithm Largest Triangle Bucket Algorithm family. 2
LTDynamicBucketSplitter A bucket-splitter dynamically resize bucket according to their SSE(Sum of Square Errors). 3
LTOneBucketWeightCalculator Weight = Area of triangle (point A: the previous event, point B: this event; point C: the next event) 1
LTThreeBucketWeightCalculator Weight = Area of triangle (point A: the previous selected event, point B: this event; point C: average event int the next bucket) 1
LTWeightedBucket 15
Triangle Calculate a triangle's area 2

Microsoft.VisualBasic.Math.DownSampling.MaxMin

TypeSummary Members
MMAlgorithm Select events with maximum or minimum value in bucket 1
MMBucket Bucket that selects events with maximum or minimum value 2
PIPlotAlgorithm OSISoft PI PlotValues algorithm. 1
PIPlotBucket Bucket that selects the first, the last event and events with maximum or minimum value 1

Microsoft.VisualBasic.Math.DownSampling.Mixed

TypeSummary Members
MixedAlgorithm Merge other algorithms' results into a new result, then deduplicate and sort it. 3

Microsoft.VisualBasic.Math.DownSampling.TimeGap

TypeSummary Members
TimeGapAlgorithm Find out big gaps between events and select events at both ends of those gaps. 2

Microsoft.VisualBasic.Math.Extensions

TypeSummary Members
PValueAdjustMethod 多重检验校正方法枚举,对应 R 的 p.adjust.methods。 8

Microsoft.VisualBasic.Math.Framework

TypeSummary Members
VariableObject 2

Microsoft.VisualBasic.Math.Framework.Iterator

TypeSummary Members
Kernel the simulator iterator kernel 2

Microsoft.VisualBasic.Math.Framework.Optimization.LBFGSB

TypeSummary Members
BKLDLT Bunch-Kaufman LDLT decomposition 23
Debugger internal logger wrapper for echo debug message 0
IGradFunction 6
LBFGSB L-BFGS-B optimizer # LBFGSBJava L-BFGS-B box constrained optimizer * Most of the code ported from LBFGS++ code. 18
Parameters 16

Microsoft.VisualBasic.Math.Framework.Optimization.LBFGSB.BKLDLT

TypeSummary Members
IndexType Index reference, mutable 0
Pair Compressed permutations 1

Microsoft.VisualBasic.Math.Framework.Optimization.LBFGSB.LineSearches

TypeSummary Members
LineSearch Line search methods for optimization and root-finding 8

Microsoft.VisualBasic.Math.Framework.Optimization.LBFGSB.LineSearches.LewisOverton

TypeSummary Members
PhiDPhi 7

Microsoft.VisualBasic.Math.HashMaps

TypeSummary Members
HashBlizzard Blizzard hash algorithm code 2
HashMap VB.NET常用的哈希算法集.其中包括了著名的暴雪的哈希,T33哈希....... 19
JenkinsHash Original source from http://256.com/sources/jenkins_hash_java/ This is a Bob Jenkins hashing algorithm implementation <br> These are functions for producing 32-bit hashes for… 11

Microsoft.VisualBasic.Math.HashMaps.HashBlizzard

TypeSummary Members
dwHashTypes The dwHashType: hash value types 6

Microsoft.VisualBasic.Math.HashMaps.MinHash

TypeSummary Members
LSH 3
LSHParameterEstimator 3
MinHash 2
SequenceItem 定义一个简单的数据结构来存储序列 3
SimilarityIndex 5

Microsoft.VisualBasic.Math.Interpolation

TypeSummary Members
B_Spline B-spline. degree参数应该是大于1的,否则等于1的时候将不会进行插值处理 4
BezierCurve A Bezier curve is a parametric curve frequently used in computer graphics and related fields. 8
BezierExtensions 2
BSpline B-spline arguments 2
CatmullRomSpline Calculates interpolated point between two points using Catmull-Rom Spline 3
CentripetalCatmullRomSpline Centripetal Catmull–Rom spline In computer graphics, centripetal Catmull–Rom spline is a variant form of Catmull-Rom spline formulated by Edwin Catmull and Raphael Rom accordi… 2
CubicSpline Cubic spline interpolation 9
CubicSplineVector 三次样条插值的核心代码模块 7
DouglasPeucker Ramer–Douglas–Peucker algorithm The Ramer–Douglas–Peucker algorithm, also known as the Douglas–Peucker algorithm and iterative end-point fit algorithm, is an algorithm that… 5
Extensions 3
PolynomialNewton 似乎对三角函数不起作用 2
PrincipalCurve 4
Splines 线条插值算法类型 10

Microsoft.VisualBasic.Math.LinearAlgebra

TypeSummary Members
EigenDecompositionResult 特征分解结果 0
EllipseFitResult 11
Extensions 8
Formula 5
HalfVector 精度比较低的半精度向量 9
HelperExtensions 10
MultivariatePolynomial 多元多项式 f(x1, x2, x3, ...) = a*x1 + b*x2 + c*x3 + ... 3
NumericsVector Numerics vector converts for numeric types like: Int32, Int64, UInt64, Byte, Single 10
PCAEllipseCalculator PCA椭圆计算器 8
PCAEllipseResult PCA统计椭圆计算结果 基于协方差矩阵和分布假设的数据椭圆/置信椭圆 10
Polynomial 一元多项式的数据模型 f(x) = a + bx + cx^2 + dx^3 + ... 7
SparseVector 稀疏的向量 23
SVD 1
Vector A numeric vector 94
VectorEqualityComparer Determine that the two vector are equals to each other. 3

Microsoft.VisualBasic.Math.LinearAlgebra.LinearProgramming

TypeSummary Members
Extensions 1
LPP solve continuous-space linear programming problems by the simplex method. 19
LPPModel Linear Programming Model 12
LPPSolver 使用单纯形法进行线性规划问题的求解 2
LPPSolverTwoPhased A two-phased simplex solver which is implemented in the sparse matrix format with the bounded variable support. 30
LppVariable 4
LpSparseMatrix A sparse matrix in the compressed sparse row(CSR) format. 16
OptimizationType 4
SparseTableauRow A single row in the simplex tableau, stored in the sparse format. 15

Microsoft.VisualBasic.Math.LinearAlgebra.LinearProgramming.IPMCrossover

TypeSummary Members
DenseLpMatrix 稠密实现:包一层 Double(,),用于中小规模(已验证路径) 9
DenseNormalFactor 稠密正规方程因子:Cholesky 两段回代 + 一次迭代精化 6
ILpMatrix 约束矩阵抽象:内点法只依赖这四个运算,因此稠密/ sparse 可自由切换 8
INormalFactor 正规方程 (A·Θ·Aᵀ + reg·I)·z = rhs 的求解器 6
InteriorPointSolver 10
IpResult 7
LinAlg 12
LppConstraint 5
LppProblem 6
LppSolver 7
LuFactorization LU 分解结果:P·A = L·U;LU 原地合并(|L| 对角=1),Piv(k)=位置k处的原始行号 3
Pcg 雅可比预条件共轭梯度:正规方程 fill-in 失控时的安全网(零 fill-in) 1
SimplexSolver 7
SparseChol 2
SparseLpMatrix 稀疏实现:CSR(行) + CSC(列) 双副本。 正规方程 A·Θ·Aᵀ 稀疏装配后优先走稀疏 LDLᵀ, fill-in 超阈值或分解失败时自动降级为雅可比预条件 PCG(零 fill-in,无 OOM 风险)。 14
SparseNormal 1
SparseNormalFactor 稀疏正规方程因子:优先稀疏 LDLᵀ,解出后做一次残差校验; 残差不达标(排序/数值问题)则本次改用 PCG 并永久降级。 6
StandardForm 标准形(IPM/单纯形的工作对象) 32
SymCsr 对称稀疏矩阵(CSR,两个三角都存,含对角) 11

Microsoft.VisualBasic.Math.LinearAlgebra.LinearProgramming.IPMCrossover.SparseChol

TypeSummary Members
MinHeap 小顶堆(按列索引升序遍历第 k 行的模式) 0
SparseCholFactor 稀疏 LDLᵀ 因子(按列存储 L 的严格下三角部分) 2

Microsoft.VisualBasic.Math.LinearAlgebra.Matrix

TypeSummary Members
CholeskyDecomposition Cholesky Decomposition. 7
EigenvalueDecomposition Eigenvalues and eigenvectors of a real matrix. 16
Extensions 19
GeneralMatrix [m,n] 9
IndexVector another form of SparseMatrix 3
LargeScaleEigenSolver 1
LUDecomposition LU Decomposition. For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n unit lower triangular matrix L, an n-by-n upper triangular matrix U, and a permutation ve… 13
MatrixOps 矩阵运算模块 - 使用 VB.NET 基础数学函数实现线性代数运算 包含:矩阵乘法、转置、求逆、行列式、特征值分解等 11
Multiply 2
NMF implementation of Non-negative Matrix Factorisation Algorithms 7
NumericMatrix .NET GeneralMatrix class. 108
QRDecomposition QR Decomposition. For an m-by-n matrix A with m >= n, the QR decomposition is an m-by-n orthogonal matrix Q and an n-by-n upper triangular matrix R so that A = Q*R. The QR de… 10
Serialization data serialization of the numeric matrix 2
SingularValueDecomposition Singular Value Decomposition. 13
SparseMatrix 20
Subtraction 1
TruncatedSVD 截断奇异值分解(Truncated Singular Value Decomposition)。 采用随机化 SVD 算法(Halko, Martinsson, Tropp, 2009,即 sklearn TruncatedSVD(solver="randomized") 所使用的算法),针对高维稀疏矩阵 进行截断的奇异值分解:只计算并保留前… 18
vbMatrix 46

Microsoft.VisualBasic.Math.LinearAlgebra.Matrix.MDSScale

TypeSummary Members
Data Created by IntelliJ IDEA. 9
LandmarkMDS Created by IntelliJ IDEA. 8
MDS Created by IntelliJ IDEA. 4
MDSMethod 7
SMACOF A class implementing Stress Minimization by Majorizing a Complex Function (SMACOF). 13

Microsoft.VisualBasic.Math.LinearAlgebra.PCAEllipseCalculator

TypeSummary Members
EllipseType 椭圆类型枚举 6

Microsoft.VisualBasic.Math.LinearAlgebra.Solvers

TypeSummary Members
GaussianElimination Gaussian elimination In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. 2
OLS OLS(普通最小二乘法,Ordinary Least Squares)的计算原理和用途。 OLS 是统计学和机器学习中最基础、也最重要的回归分析方法之一。它的核心目标是:在众多数据点中,找到一条能“最佳拟合”这些点的直线(或超平面)。 --- ### 一、 OLS 的计算原理 为了便于理解,我们以一元线性回归(只有一个自变量 $X$ 和一… 1
PowerMethod Method for finding eigenvectors 2
Solve a*b=0 -> x 3
SOR 1

Microsoft.VisualBasic.Math.LinearAlgebra.Vector

TypeSummary Members
Argument Numeric argument for Vector.Call()) 8

Microsoft.VisualBasic.Math.Logical.FuzzyLogic

TypeSummary Members
FuzzyEngine Represents the inferential engine. 7
FuzzyRule Represents a rule. 5
FuzzyRuleCollection Represents a collection of rules. 0
LinguisticVariable Represents a linguistic variable. 10
LinguisticVariableCollection Represents a collection of rules. 1
MembershipFunction Represents a membership function. 11
MembershipFunctionCollection Represents a collection of membership functions. 1

Microsoft.VisualBasic.Math.Logical.FuzzyLogic.Models

TypeSummary Members
FuzzyModel 8
Tokens 9

Microsoft.VisualBasic.Math.Numerics

TypeSummary Members
BigDecimal 41
Half Represents a half-precision floating point number. 90
HalfHelper Helper class for Half conversions and some low level operations. 1
UncheckedInteger https://stackoverflow.com/questions/2403154/fastest-way-to-do-an-unchecked-integer-addition-in-vb-net 7
UncheckIntegerExtensions unchecked arithmetic 4

Microsoft.VisualBasic.Math.Quantile

TypeSummary Members
DataQuartile A data quartile model based on a given sample data input 9
Extensions GK quantile extensions method 9
FastRankQuantile 3
QuantileEstimationGK Implementation of the Greenwald and Khanna algorithm for streaming calculation of epsilon-approximate quantiles. 8
Quartile 四分位数(Quartile)是在统计学中把所有数值由小到大排列并分成四等份够,处于三个分割点位置的数值。 2
Selector String expression for select the sequence members by its numeric values, selector expression provider for CLI programming. 7
X Data variables 4

Microsoft.VisualBasic.Math.Quantile.Selector

TypeSummary Members
Provider 4

Microsoft.VisualBasic.Math.Scripting

TypeSummary Members
Factor R language like string factor 3
FactorExtensions 3
FactorVector 提供和R之中的向量类似的行为:可以用两种方式来访问向量之中的成员,名字或者向量数组的下表 7
FormulaDependency 6
IVector 4
MathScriptEngine 数学脚本引擎:支持标量/向量变量、函数定义、axis 内置以及 scatter/line/surface 绘图指令。仅产出向量数据与绘图指令, 不依赖任何绘图组件,可作为通用数学运算脚本引擎复用。 设计要点:向量运算复用现有标量 ExpressionEngine,以 “逐元素标量循环 + 环境变量绑定”方式求值,避免改动表达式编译器。 6
NamedVector 提供字符串映射到具体的数值 5
NamedVectorFactory Factory for Dictionary to Vector 5
ParameterExpressionScript 在vb之中由于可选参数的值只能够是常量,假若变量之间还存在关联,则必须要用表达式, 但是表达式不是常量,所以使用这个模块之中的代码来模拟R语言之中的可选参数表达式 4
PlotCommand 一条绘图指令(纯数据,不引用任何绘图组件)。 由数学脚本引擎产出,供可视化程序解释渲染。 10
PlotKind 绘图类型 3
ScriptEngine Math expression script engine. 12
ScriptResult 脚本执行结果 5

Microsoft.VisualBasic.Math.Scripting.MathExpression

TypeSummary Members
Arithmetic The basics arithmetic operators' definition. 8
DynamicInvoke An abstract function interface for make math formula expression evaluation 3
ExpressionBuilder 5
ExpressionEngine 9
FunctionElement 将用户定义的函数持久化的保存在XML文件之中所使用到的格式 4
MathToken 1

Microsoft.VisualBasic.Math.Scripting.MathExpression.Impl

TypeSummary Members
BinaryExpression left op right 8
Expression the abstract math expression 5
Factorial x! 4
FunctionInvoke f(x) 5
Literal A number literal 13
SymbolExpression symbol x 4

Microsoft.VisualBasic.Math.Scripting.Rscript

TypeSummary Members
GenericVector 在这个泛型向量之中,仅包含有对元素对象的访问方法的封装,并没有涉及类型解析等反射操作 9