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Everything about Multivariate interpolation
Interpolation on functions of more than one variable
In numerical analysis, multivariate interpolation or multidimensional interpolation is interpolation on multivariate functions, having more than one variable or defined over a multi-dimensional domain. A common special case is bivariate interpolation or two-dimensional interpolation, based on two variables or two dimensions. When the variates are spatial coordinates, it is also known as spatial interpolation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multivariate interpolationA 5-minute orientation
- Skim a recent paper: Interpretable wind speed prediction with multivariate time series and temporal fusion transformersInfluential work since 2022
- Pick up a classic book: Topics in multivariate approximation and interpolationThe most-reprinted book on the subject
- Read the landmark paper: On the interpretation of weight vectors of linear models in multivariate neuroimagingCited 1,537 times
- Go sideways: Tricubic interpolationA closely related topic
- Go sideways: InterpolationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the interpretation of weight vectors of linear models in multivariate neuroimaging
On multivariate Lagrange interpolation
On multivariate polynomial interpolation
On Multivariate Interpolation
Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type
Multivariate neural network interpolation operators
Multivariate rational interpolation
Sparse interpolation of multivariate rational functions
🆕 Influential since 2022
Interpretable wind speed prediction with multivariate time series and temporal fusion transformers
GRU-Based Interpretable Multivariate Time Series Anomaly Detection in Industrial Control System
Quantics Tensor Cross Interpolation for High-Resolution Parsimonious Representations of Multivariate Functions
Neural network interpolation operators of multivariate functions
Multivariate fuzzy neural network interpolation operators and applications to image processing
📚 Books worth reading
Topics in multivariate approximation and interpolationK. Jetter · 2005- 📕Topics in Multivariate Approximation and InterpolationKurt Jetter, Martin Buhmann · 2005
Topics in multivariate approximation and interpolationK. Jetter · 2005
Entropy and Multivariable Interpolation (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society)Gelu Popescu · 2006
Interval Mathematics 1985Karl Nickel · 1986- 📕Ridge Functions and Applications in Neural NetworksVugar E. Ismailov · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Tricubic interpolation In the mathematical subfield numerical analysis, tricubic interpolation is a method for obtaining values at arbitrary points in 3D space of a function…
- 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…
- Bicubic interpolation In mathematics, bicubic interpolation is an extension of cubic spline interpolation (a method of applying cubic interpolation to a data set) for interpolating…
- Cubic Hermite spline In numerical analysis, a cubic Hermite spline or cubic Hermite interpolator is a spline where each piece is a third-degree polynomial specified in Hermite…
- Polyharmonic spline In applied mathematics, polyharmonic splines are used for function approximation and data interpolation. They are very useful for interpolating and fitting…
- Birkhoff interpolation In mathematics, Birkhoff interpolation is an extension of polynomial interpolation. It refers to the problem of finding a polynomial P ( x ) {\displaystyle…
- Radial basis function In mathematics a radial basis function (RBF) is a real-valued function φ {\textstyle \varphi } whose value depends only on the distance between the input…
- Hermite interpolation In numerical analysis, Hermite interpolation, named after Charles Hermite, generalizes polynomial interpolation, which includes Lagrange interpolation…