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SpectralRandomnessTest

Use a discrete cosine transform–based method to test the randomness of a sequence of random reals

ReplaceContext

Transform an expression by replacing all symbols in one context with symbols of the same name in another context

Standardize Audio Training Inputs

Transform audio signals into 2D power spectra for net training inputs using a custom audio encoder

MeijerGForm

Convert a mathematical expression into an equivalent expression with head MeijerG

FoxHForm

Convert a mathematical expression into an equivalent expression with head FoxH

GaussianHessenbergDecomposition

Compute the Gaussian Hessenberg decomposition of a matrix

PolyhedronCanonicalForm

Generate the canonical form of a convex polyhedron

ApproximatedSurface

Approximate a parametric surface with different graphics primitives

Triangle3DTo2D

Given a 3D triangle, return an equivalent 2D triangle along with a transformation function

LatticeUnitCellPlot3D

Display specific unit cells in a 3D lattice

ProjectGraphics3D

Project 3D graphics onto a plane

RibbonPolyhedron

Display the set of polygons obtained by extending polyhedron edges perpendicularly inward by a given distance

GatherByIndex

Combine items into sublists based on their position

CoordinateVector

Find the coordinate vector of a vector with respect to a basis

PolyhedronFaceReflect

Reflect a polyhedron over a given face

Pose-Aware Face Recognition in the Wild Nets Trained on CASIA WebFace Data

Represent a facial image as a vector

CrossTabulate

Compute the contingency table for a two- or three- column dataset or array

NFunction

Allow a function to perform pure numeric computation by silently ignoring non-numeric values

BarycentricCoordinates

Find the barycentric coordinates of a point

QuadricPlot3D

Plot a quadric surface, automatically determining the regions of interest, view direction and scaling

InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

AssociationKeyFlatten

Flatten keys in a nested association

ExtractPlotImageData

Extract data from a plot image

KeyIndex

Create an association indexed by a given key from a list of associations

AggregateSmallest

Group small values in an association into a single category

MergeByKey

Merge a list of associations using different merge functions for different keys

PartitionByCooccurence

Find the best-fitting partitions for a list of groups using co-occurrence counts

RelativisticInertialDeformedRegion

Compute the apparent visual shape of an object or region traveling with constant velocity

SphericAnamorphosisMap

Convert a point reflected in a spherical mirror to its spherical anamorphosis map in a plane parallel to the xy-plane

HampelFilter

Remove outliers from a signal using a Hampel window

DuplicatesList

Give the elements that appear more than once in the input list

PointsToRules

Convert a list of points into a list of substitution rules

TrimRight

Shorten lists to the same length by removing elements from the right

TrimLeft

Shorten lists to the same length by removing elements from the left

DeleteAdjacentDuplicates

Delete adjacent duplicates from a list

TimeSeriesPad

Make a time series in full periods of specified granularity by padding with Missing

ValuesReduceOperator

Group data according to the positionally corresponding values of other data

QuaternionToRotationMatrix

Convert a unit quaternion to an equivalent rotation matrix

TimeSeriesSelect

Filter values out of a time series object

KeyCombine

Map a function over the keys of an association, and collect or combine values in the event of key collisions

TimeSeriesZero

Shift a time series to start at 0 seconds

TensorIndexJuggling

Given a metric, convert between covariant and contravariant components of a tensor

FromTensor

Convert TensorContract expressions into an equivalent form using Dot and Tr

EinsteinSummation

Given tensors and their indices, sum over repeated indices

AxisAngle

Generate the axis-angle representation of a three-dimensional rotation matrix

IteratedAffinePlot

Plot polygons after iteratively applying a translation, scaling and rotation

ListGrowthPlot

Plot the growth of lists and temporal data

PseudonymizeData

Consistently replace sensitive data values with UUIDs

TakeAfter

Take elements after a specified element in an expression

DropSmallest

Drop the smallest values from a list

BoundaryElementMeshTranslate

Translate a boundary element mesh

QuantileOperator

An operator form of the Quantile function

ArrayCropPad

Crop uniform values from the edges of an array

HedgesG

Computes the Hedges g statistic measuring an "effects size" difference between two lists of data

PooledVariance

Compute the pooled variance of multiple lists of data

TimeSeriesAlign

Align multiple time series to begin at the same time

SampleRebalance

Resample data to correct for sampling bias

MapLevel

Create an operator that maps a function over data at a specified level

ReplaceAllOutside

Similar to ReplaceAll, but parts of the expression can be ignored by providing a pattern

PooledStandardDeviation

Compute the pooled standard deviation of multiple lists of data

BootstrapStatistics

Bootstrap a single statistic or a list of statistics

Loess

Smooth noisy data using local regression

DiscreteDolphChebyshevWindow

Return a discrete Dolph-Chebyshev window sequence

PlaneOfBestFit

Get the hyperplane that best fits a set of points

AddSemantics

Automatically add semantics to structured data

MapSelectCounted

Map a function over selected elements of a list, also passing in a running count of such elements

PairMap

Map a function to pairs formed from a list and another function

TrimmedLinearFit

Linear model fitting discarding outliers

Correlogram

Visualize the autocorrelation of data

LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

PowerMean

Compute the mean of a list of numbers all taken to some power

PowerTotal

Compute the total of a list of numbers all taken to some power

HextileBins

Bin data into hexagon tiles

TakeBefore

Take elements before the specified element in an expression

ProjectionMatrix

Compute the projection matrix for a given vector space

SchmidtArrangements

Generate Schmidt arrangements of circles

TimeSeriesCompress

Remove redundant data from a time series

LSystem

Generate an L-system

RandomRotationQuaternion

Return uniformly distributed random rotations in quaternion form

GroupCases

Group elements of a list using patterns

OutShuffle

Perform an out shuffle on a list

InShuffle

Perform an in shuffle on a list

DeleteFailures

Delete failures in an expression

LaurentExtendedGCD

Compute the GCD and successive quotients for a pair of Laurent polynomials

ModularTessellation

Compute polygons, circles, compositions and transformation functions for the tessellation of the upper half-plane by the modular group

PivotTable

A spreadsheet-like operation to collate data by values common to specified columns, summarizing corresponding values in a specified column

DICOMAnonymize

Anonymize DICOM files by removing or replacing metadata that could lead to identification of a patient

MoleculePrincipalMomentPlot

Visualize the distribution of molecule shapes in a 2D scatter plot

WelchSpectralEstimate

Fast numerical estimation of the power spectral density or the cross spectral density

TukeyMedianPolish

Find row and column effects in a data matrix by repeatedly subtracting the median

IndependentComponentAnalysis

Decompose a matrix into Independent Component Analysis matrix factors

PrincipalAxisClustering

Quickly cluster a point cloud by recursive separation

NonNegativeExcessDistribution

Compute the distribution of the amount in excess of a specific value drawn from an underlying distribution

FCGRImage

Produce a frequency chaos game representation image from a string of nucleotides

ListD

Find the numerical derivative of a list of values or pairs of values

SI Brochure Data

Data from the SI Brochure published by the BIPM

Build a Vocoder Using STFT Transformations

Impose the spectral envelope of a modulator signal onto a carrier

ReflectPoints

Reflect a set of points over a line, plane or hyperplane defined by points

GeometricRotationQuiz

Generate a quiz to assess understanding of geometric rotations

PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

HarmonicQuadrilaterals

Generate three cyclic harmonic quadrangles from a reference triangle

VoronoiNoise

Create an image based on Voronoi noise

MercerMatrix

Generate a Mercer matrix

NormalLaplaceDistribution

A statistical distribution for the sum of a normal and an asymmetric Laplace random variable

CoordinateMappingData

Calculate characteristic properties for a generalized mapping between two coordinate systems

DPSSWindow

Generate the zero-order discrete prolate spheroidal sequence window

StereographicProjection

Compute the stereographic projection from the unit sphere to a plane

DoubleParetoLogNormalDistribution

Represent a double Pareto log-normal distribution

TimeShiftedDistribution

A derived distribution useful in actuarial science

JohnsonCircles

Generate three congruent Johnson circles given a reference triangle

DigitalCirclism

Generate circle packings covering a picture

PseudoZernikeR

Evaluate the radial pseudo-Zernike polynomial

Keypoint-Based Video Stabilization

Use keypoints and estimate geometric transformations between video frames to stabilize a video

Remove Background Features from a CT Scan

Use segmentation and segment selection techniques to remove background features from an image

Nondimensional Form of Black Hole Surface Gravity

Classify Cells Based on Their Shape

Use convexity defects to classify cells

Keypoints for a Projective Transformation

Use ORB keypoint descriptors to compute an image transformation

Replace a Daytime Background with a Nighttime Image

Use color-based segmentation to find a uniform color background

United States Supreme Court Decisions 1946-present

Datasets relating to Supreme Court cases from 1946 to present

Blood Cell Identification

Segment and classify normal and burr cells

Prefactors for Nondimensionalized Formulas

Remove physical dimensions from the left- or right-hand sides of formulas

Count Gear Teeth Using Image Contours

Develop a convex hull–based algorithm to analyze the shape of gears

Discover and Define Physical Quantities and Units

Find canonical units for derivatives of physical quantity variables and create new quantities and unit

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