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50 relations: Arg max, Autocorrelation, Autocovariance, Average, Coherence (signal processing), Complex conjugate, Complex-valued function, Convolution, Convolution theorem, Correlation and dependence, Correlation function, Covariance and correlation, Covariance mapping, Cross-covariance, Cross-spectrum, Cryptanalysis, Digital image correlation and tracking, Dot product, Econometrics, Electron tomography, Expected value, Fast Fourier transform, Fourier transform, Functional analysis, Hermitian function, Independence (probability theory), Inner product space, Lp space, Multivariate random variable, Neurophysiology, Pattern recognition, Pearson correlation coefficient, Phase correlation, Probability, Probability density function, Random variable, Sampling (statistics), Scaled correlation, Signal processing, Similarity measure, Single particle analysis, Spectral density, Standard deviation, Stationary process, Statistics, Stochastic process, Template matching, Time series, Unit vector, Wiener–Khinchin theorem.
Arg max
In mathematics, the arguments of the maxima (abbreviated arg max or argmax) are the points of the domain of some function at which the function values are maximized.
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Autocorrelation
Autocorrelation, also known as serial correlation, is the correlation of a signal with a delayed copy of itself as a function of delay.
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Autocovariance
In probability theory and statistics, given a stochastic process X.
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Average
In colloquial language, an average is a middle or typical number of a list of numbers.
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Coherence (signal processing)
The spectral coherence is a statistic that can be used to examine the relation between two signals or data sets.
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Complex conjugate
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
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Complex-valued function
In mathematics, a complex-valued function (not to be confused with complex variable function) is a function whose values are complex numbers.
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Convolution
In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.
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Convolution theorem
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms.
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Correlation and dependence
In statistics, dependence or association is any statistical relationship, whether causal or not, between two random variables or bivariate data.
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Correlation function
A correlation function is a function that gives the statistical correlation between random variables, contingent on the spatial or temporal distance between those variables.
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Covariance and correlation
In probability theory and statistics, the mathematical concepts of covariance and correlation are very similar.
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Covariance mapping
In statistics, covariance mapping is an extension of the covariance concept from random variables to random functions.
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Cross-covariance
In probability and statistics, given two stochastic processes X.
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Cross-spectrum
In time series analysis, the cross-spectrum is used as part of a frequency domain analysis of the cross-correlation or cross-covariance between two time series.
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Cryptanalysis
Cryptanalysis (from the Greek kryptós, "hidden", and analýein, "to loosen" or "to untie") is the study of analyzing information systems in order to study the hidden aspects of the systems.
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Digital image correlation and tracking
Digital image correlation and tracking is an optical method that employs tracking and image registration techniques for accurate 2D and 3D measurements of changes in images.
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Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
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Econometrics
Econometrics is the application of statistical methods to economic data and is described as the branch of economics that aims to give empirical content to economic relations.
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Electron tomography
Electron tomography (ET) is a tomography technique for obtaining detailed 3D structures of sub-cellular macro-molecular objects.
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Expected value
In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents.
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Fast Fourier transform
A fast Fourier transform (FFT) is an algorithm that samples a signal over a period of time (or space) and divides it into its frequency components.
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Fourier transform
The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.
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Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
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Hermitian function
In mathematical analysis, a Hermitian function is a complex function with the property that its complex conjugate is equal to the original function with the variable changed in sign: (where the ^* indicates the complex conjugate) for all x in the domain of f. This definition extends also to functions of two or more variables, e.g., in the case that f is a function of two variables it is Hermitian if for all pairs (x_1, x_2) in the domain of f. From this definition it follows immediately that: f is a Hermitian function if and only if.
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Independence (probability theory)
In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.
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Inner product space
In linear algebra, an inner product space is a vector space with an additional structure called an inner product.
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Lp space
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
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Multivariate random variable
In probability, and statistics, a multivariate random variable or random vector is a list of mathematical variables each of whose value is unknown, either because the value has not yet occurred or because there is imperfect knowledge of its value.
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Neurophysiology
Neurophysiology (from Greek νεῦρον, neuron, "nerve"; φύσις, physis, "nature, origin"; and -λογία, -logia, "knowledge") is a branch of physiology and neuroscience that is concerned with the study of the functioning of the nervous system.
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Pattern recognition
Pattern recognition is a branch of machine learning that focuses on the recognition of patterns and regularities in data, although it is in some cases considered to be nearly synonymous with machine learning.
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Pearson correlation coefficient
In statistics, the Pearson correlation coefficient (PCC, pronounced), also referred to as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC) or the bivariate correlation, is a measure of the linear correlation between two variables X and Y. It has a value between +1 and −1, where 1 is total positive linear correlation, 0 is no linear correlation, and −1 is total negative linear correlation.
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Phase correlation
Phase correlation is an approach to estimate the relative translative offset between two similar images (digital image correlation) or other data sets.
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Probability
Probability is the measure of the likelihood that an event will occur.
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Probability density function
In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.
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Random variable
In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.
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Sampling (statistics)
In statistics, quality assurance, and survey methodology, sampling is the selection of a subset (a statistical sample) of individuals from within a statistical population to estimate characteristics of the whole population.
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Scaled correlation
In statistics, scaled correlation is a form of a coefficient of correlation applicable to data that have a temporal component such as time series.
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Signal processing
Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.
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Similarity measure
In statistics and related fields, a similarity measure or similarity function is a real-valued function that quantifies the similarity between two objects.
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Single particle analysis
Single particle analysis is a group of related computerized image processing techniques used to analyze images from transmission electron microscopy (TEM).
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Spectral density
The power spectrum S_(f) of a time series x(t) describes the distribution of power into frequency components composing that signal.
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Standard deviation
In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.
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Stationary process
In mathematics and statistics, a stationary process (a strict/strictly stationary process or strong/strongly stationary process) is a stochastic process whose unconditional joint probability distribution does not change when shifted in time.
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Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
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Stochastic process
--> In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a collection of random variables.
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Template matching
Template matching is a technique in digital image processing for finding small parts of an image which match a template image.
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Time series
A time series is a series of data points indexed (or listed or graphed) in time order.
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Unit vector
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.
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Wiener–Khinchin theorem
In applied mathematics, the Wiener–Khinchin theorem, also known as the Wiener–Khintchine theorem and sometimes as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectrum of that process.
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Cross Correlator, Cross correlation, Cross-correlation coefficient, Cross-correlation function, Cross-correlations, Normalized cross-correlation.
References
[1] https://en.wikipedia.org/wiki/Cross-correlation
