Hausdorff distance - Wikipedia
In mathematics, the Hausdorff distance, or Hausdorff metric, also called Pompeiu–Hausdorff distance,[1][2] measures how far two subsets of a metric space are from each other. It turns the set of non-empty compact subsets of a metric space into a metric space in its own right. It is named after Felix Hausdorff and Dimitrie Pompeiu. Informally, two sets are close in the Hausdorff distance if every p
Exploratory data analysis - Wikipedia
In statistics, exploratory data analysis (EDA) is an approach of analyzing data sets to summarize their main characteristics, often using statistical graphics and other data visualization methods. A statistical model can be used or not, but primarily EDA is for seeing what the data can tell us beyond the formal modeling and thereby contrasts traditional hypothesis testing. Exploratory data analysi
Gauss–Bonnet theorem - Wikipedia
"Gauss–Bonnet" redirects here. Not to be confused with Gauss–Bonnet gravity. This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Gauss–Bonnet theorem" – news · newspapers · books · scholar · JSTOR (October 2020) (Learn how and when to remove this message)
Probabilistic roadmap - Wikipedia
The probabilistic roadmap[1] planner is a motion planning algorithm in robotics, which solves the problem of determining a path between a starting configuration of the robot and a goal configuration while avoiding collisions. An example of a probabilistic random map algorithm exploring feasible paths around a number of polygonal obstacles The basic idea behind PRM is to take random samples from th
Cylindrical algebraic decomposition - Wikipedia
In mathematics, cylindrical algebraic decomposition (CAD) is a notion, along with an algorithm to compute it, that is fundamental for computer algebra and real algebraic geometry. Given a set S of polynomials in Rn, a cylindrical algebraic decomposition is a decomposition of Rn into connected semialgebraic sets called cells, on which each polynomial has constant sign, either +, − or 0. To be cylin
Killing vector field - Wikipedia
In mathematics, a Killing vector field (often called a Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric. Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold. More simply, the flow generates a symmetry, in th
Least squares conformal map - Wikipedia
This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Least squares conformal map" – news · newspapers · books · scholar · JSTOR (July 2011) (Learn how and when to remove this message) A Least squares conformal map (LSCM) is a 2-D representation of a 3-D sh
Nonlinear dimensionality reduction - Wikipedia
Top-left: a 3D dataset of 1000 points in a spiraling band (a.k.a. the Swiss roll) with a rectangular hole in the middle. Top-right: the original 2D manifold used to generate the 3D dataset. Bottom left and right: 2D recoveries of the manifold respectively using the LLE and Hessian LLE algorithms as implemented by the Modular Data Processing toolkit. Nonlinear dimensionality reduction, also known a
Polarization identity - Wikipedia
This article is about quadratic forms. For formulas for higher-degree polynomials, see Polarization of an algebraic form. Vectors involved in the polarization identity In linear algebra, a branch of mathematics, the polarization identity is any one of a family of formulas that express the inner product of two vectors in terms of the norm of a normed vector space. If a norm arises from an inner pro
Pauli matrices - Wikipedia
Wolfgang Pauli (1900–1958), c. 1924. Pauli received the Nobel Prize in physics in 1945, nominated by Albert Einstein, for the Pauli exclusion principle. In mathematical physics and mathematics, the Pauli matrices are a set of three 2 × 2 complex matrices that are traceless, Hermitian, involutory and unitary. Usually indicated by the Greek letter sigma (σ), they are occasionally denoted by tau (τ)
Spectral theorem - Wikipedia
In mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis). This is extremely useful because computations involving a diagonalizable matrix can often be reduced to much simpler computations involving the corresponding diagonal matrix. The con
Random sample consensus - Wikipedia
Random sample consensus (RANSAC) is an iterative method to estimate parameters of a mathematical model from a set of observed data that contains outliers, when outliers are to be accorded no influence on the values of the estimates. Therefore, it also can be interpreted as an outlier detection method.[1] It is a non-deterministic algorithm in the sense that it produces a reasonable result only wit
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Fréchet distance - Wikipedia
Cycle basis - Wikipedia
Gilbert–Johnson–Keerthi distance algorithm - Wikipedia
Parareal - Wikipedia
Box spline - Wikipedia
Ball tree - Wikipedia
Diffusion map - Wikipedia
Schwarzian derivative - Wikipedia