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Everything about Gaussian function
Mathematical function
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form and with parametric extension for arbitrary real constants a, b and non-zero c. It is named after the mathematician Carl Friedrich Gauss. The graph of a Gaussian is a characteristic symmetric "bell curve" shape. The parameter a is the height of the curve's peak, b is the horizontal position of the center of the peak, and c controls the width of the "bell". Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Gaussian functionA 5-minute orientation
- Skim a recent paper: Gaussian-Cauchy Mixture Kernel Function Based Maximum Correntropy Criterion Kalman Filter for Linear Non-Gaussian SystemsInfluential work since 2022
- Pick up a classic book: Dimensionality Reducing Expansion of Multivariate IntegrationThe most-reprinted book on the subject
- Read the landmark paper: Self-consistent molecular orbital methods 25. Supplementary functions for Gaussian basis setsCited 8,323 times
- Go sideways: Weierstrass transformA closely related topic
- Go sideways: Gaussian integralA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Self-consistent molecular orbital methods 25. Supplementary functions for Gaussian basis sets
Quickstep: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach
An Improved Approximation for the Gaussian Q-Function
Quadratic transformation inequalities for Gaussian hypergeometric function
Normalized Gaussian Radial Basis Function networks
On the Inverse Gaussian Distribution Function
Estimation of the Inverse Gaussian Distribution Function
Complex-variable-function–Gaussian solitons
🆕 Influential since 2022
Gaussian-Cauchy Mixture Kernel Function Based Maximum Correntropy Criterion Kalman Filter for Linear Non-Gaussian Systems
The characteristic function of Gaussian stochastic volatility models: an analytic expression
A fuzzy Gaussian process regression function approach for forecasting problem
Adaptive-Wavelet-Threshold-Function-Based M2M Gaussian Noise Removal Method
On the Computation of the Gaussian Rate–Distortion–Perception Function
📚 Books worth reading
Dimensionality Reducing Expansion of Multivariate IntegrationTian-Xiao He · 2001- 📕Gaussian process regression analysis for functional dataJian Qing Shi · 2011
Gaussian Hilbert spacesSvante Janson · 1997
A practical guide to heavy tailsRobert J. Adler · 1998- 📕Gauss and Jacobi SumsBruce C. Berndt, Ronald J. Evans · 2011
- 📕Common zeros of polynomials in several variables and higher dimensional quadratureYuan Xu · 1994
Molecular wave functions and properties: tabulated from SCF calculations in a Gaussian basis setLawrence C. Snyder, L.C. Snyder · 1972- 📕CRC handbook of percentage points of the Inverse Gaussian distributionJames A. Koziol · 1989
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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