Interpolation

Interpolation

In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple function. Suppose the formula for some given function is known, but too complicated to evaluate efficiently. A few data points from the original function can be interpolated to produce a simpler function which is still fairly close to the original. The resulting gain in simplicity may outweigh the loss from interpolation error and give better performance in calculation process. (Wikipedia).

Interpolation
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Programming Terms: String Interpolation

In this programming terms video, we will be going over string interpolation. String interpolation is the process of evaluating a string containing one or more placeholders and yielding a result in which the placeholders are replaced with their corresponding values. Let's take a look at thi

From playlist Programming Terms

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Interpolation | Lecture 43 | Numerical Methods for Engineers

An explanation of interpolation and how to perform piecewise linear interpolation. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.yout

From playlist Numerical Methods for Engineers

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Line of Best Fit (Determining the equation)

More resources available at www.misterwootube.com

From playlist Descriptive Statistics & Bivariate Data Analysis

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What is Interpolation and Extrapolation?

Learn the difference between interpolation and extrapolation in this free math video tutorial by Mario's Math Tutoring. Learn Algebra 1 lesson by lesson in my "Learn Algebra 1" Video Course for Sale here: https://mariosmathtutoring.teachable.com/p/learn-algebra-1-video-course * Organized

From playlist Algebra 1

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Statistics - Compute the interquartile range

This video shows how to compute the interquartile range for a set of data. Remember to reorganize the data so that you can find the median values easier. For more videos visit http://mysecretmathtutor.com

From playlist Statistics

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Maryna Viazovska (EPFL): Fourier interpolation

This lecture is about Fourier uniqueness and Fourier interpolation pairs. Suppose that we have two subsets X and Y of the Euclidean space. Can we reconstruct a function f from its restriction to the set X and the restriction of its Fourier transform to the set Y? We are interested in the p

From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"

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Geometric Algebra - Linear and Spherical Interpolation (LERP, SLERP, NLERP)

In this video, I'll derive the formulas for doing linear and spherical interpolations between two vectors. In deriving the latter formula, we will use rotors, an object used in geometric algebra. We will also discuss normalized linear interpolation and contrast it with spherical interpolat

From playlist Geometric Algebra

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Lagrange Interpolation

A basic introduction to Lagrange Interpolation. Chapters 0:00 Introduction 01:07 Lagrange Polynomials 03:58 The Lagrange Interpolation formula 05:10 The Resulting Polynomials The product links below are Amazon affiliate links. If you buy certain products on Amazon soon after clicking th

From playlist Interpolation

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The Vandermonde Matrix and Polynomial Interpolation

The Vandermonde matrix is a used in the calculation of interpolating polynomials but is more often encountered in the proof that such polynomial interpolates exist. It is also often encountered in the study of determinants since it has a really nice determinant formula. Chapters 0:00 - In

From playlist Interpolation

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Engineering CEE 20: Engineering Problem Solving. Lecture 20

UCI CIvil & Environmental Engineering 20 Engineering Problem Solving (Spring 2013) Lec 20. Engineering Problem Solving View the complete course: http://ocw.uci.edu/courses/cee_20_introduction_to_computational_engineering_problem_solving.html Instructor: Jasper Alexander Vrugt, Ph.D. Licen

From playlist Engineering CEE 20: Engineering Problem Solving

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Engineering CEE 20: Engineering Problem Solving. Lecture 21

UCI CIvil & Environmental Engineering 20 Engineering Problem Solving (Spring 2013) Lec 21. Engineering Problem Solving View the complete course: http://ocw.uci.edu/courses/cee_20_introduction_to_computational_engineering_problem_solving.html Instructor: Jasper Alexander Vrugt, Ph.D. Licen

From playlist Engineering CEE 20: Engineering Problem Solving

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ACAI: Understanding and Improving Interpolation in Autoencoders via an Adversarial Regularizer

Toronto Deep Learning Series, 7-Feb-2019 For slides and more information, visit https://tdls.a-i.science/events/2019-02-07 UNDERSTANDING AND IMPROVING INTERPOLATION IN AUTOENCODERS VIA AN ADVERSARIAL REGULARIZER Autoencoders provide a powerful framework for learning compressed representa

From playlist Generative Models

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Interpolations and Mappings with Applications in Image Processing

In this talk, Markus van Almsick reviews the most popular and most advanced interpolation methods and discusses their merits and shortcomings. The Wolfram Language provides many interpolation methods to construct continuous functions from discrete data points. Furthermore, interpolations a

From playlist Wolfram Technology Conference 2020

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The Runge Function, Polynomial Interpolation, and the Cauchy Residual Theorem

A tour of interpolation, starting with a simple example and ending with completely unexpected and beautiful convergence results. Skip to about 2:25 if you wish to avoid the gentle intro. Topics covered include: polynomial convergence examples, the Runge Function (not related to Runge-Kutta

From playlist Summer of Math Exposition Youtube Videos

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Mod-01 Lec-06 Cubic Hermite Interpolation

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

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Introduction to Regression Analysis

This video introduced analysis and discusses how to determine if a given regression equation is a good model using r and r^2.

From playlist Performing Linear Regression and Correlation

Related pages

Hermite interpolation | Topological space | Rational function | Piecewise | Runge's phenomenon | Brahmagupta's interpolation formula | Linear function | Derivative | Fourier series | Bilinear interpolation | Newton–Cotes formulas | Simple rational approximation | Stokes' theorem | Advection | Polynomial interpolation | Polynomial | Function approximation | Multivariate interpolation | Banach space | Divergence theorem | Lagrange polynomial | Missing data | Chebyshev polynomials | Degree of a polynomial | Vector calculus identities | Least squares | Division by zero | Spline interpolation | Trigonometric interpolation | Radial basis function interpolation | Imputation (statistics) | Estimation | Mathematics | Linear interpolation | Bicubic interpolation | Fractal compression | Kriging | Trigonometric polynomial | Transportation theory (mathematics) | Trilinear interpolation | Dependent and independent variables | Extrapolation | Riesz–Thorin theorem | Approximation theory | Numerical analysis | Padé approximant | Sampling (statistics) | Computational complexity theory | Whittaker–Shannon interpolation formula | Gaussian process | Upsampling | Curve fitting | Algorithm | Wavelet