Runge's Phenomenon
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Runge's Phenomenon
2.6K viewsApr 17, 2024
YouTubeWhite Crane Education
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Week 9 : Lecture 44: Polynomial Interpolation: Runge Phenomeno…
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YouTubeNPTEL IIT Bombay
Runge's Phenomenon
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Runge's Phenomenon
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YouTubeWolfram Demonstrations Project
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Runge's Phenomenon
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Runge's Phenomenon
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YouTubeWolfram Demonstrations Project
Runge's Phenomenon: Equidistant vs Chebyshev Nodes
9:30
Runge's Phenomenon: Equidistant vs Chebyshev Nodes
831 views9 months ago
YouTubeTensorPhilia
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of your interpolating polynomial, and instead of converging, it explodes near the endpoints of [-1,1]. The culprit isn't the function's real-line behaviour — it's complex singularities hiding just off the axis, silently poisoning the convergence that equally spaced nodes can never achieve. Thankfully chebyshev interpolation points save the day!
0:12
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of your interpolating polynomial, and instead of converging, it explodes near the endpoints of [-1,1]. The culprit isn't the function's real-line behaviour — it's complex singularities hiding just off the axis, silently poisoning the convergence that equally spaced nodes can never achieve. Thankfully chebyshev interpolation points save the day!
271 views1 month ago
TikTokproofbyconfusion
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Polynomial interpolation gone wrong!
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[SHO#38] What is the Runge phenomenon?! #introduction #analysis
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YouTubeØljen – Les maths en finesse
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Runges phenomenon
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YouTubeTU Delft Learning for Life
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Chapter 2: Runge Phenomenon & Chebyshev Nodes
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YouTubeAnindita Labonno
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Find in video from 05:56Ejemplo de la función de Runge
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Find in video from 02:28Un exemple concret du phénomène de Runge
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YouTubeØljen – Les maths en finesse
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Find in video from 04:34Wolfram Demonstration of Runge's Phenomena
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YouTubeMarcello Goulart Teixeira
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This video, created by my dear coauthor @MahdiKahou for our teaching and papers, shows how overparameterized neural networks produce smooth function approximations even in the context of the Runge phenomenon.Some background. Imagine you want to approximate the Runge functionhttps://t.co/oKwNLE4PBHusing polynomial interpolation at equally spaced points. It is well known that, despite targeting an infinitely differentiable function, such a polynomial approximation produces oscillatory behavior tha
46.7K views1 month ago
x.comJesús Fernández-Villaverde
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Short videos

5:53
Runge's Phenomenon
2.6K viewsApr 17, 2024
YouTubeWhite Crane Education
42:35
Week 9 : Lecture 44: Polynomial Interpolation: Runge Phenomenon &
3.5K viewsMar 16, 2023
YouTubeNPTEL IIT Bombay
0:17
Runge's Phenomenon
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YouTubeWolfram Demonstrations
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YouTubeNiloy Farhan
0:12
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of
271 views1 month ago
TikTokproofbyconfusion
0:12
Runge's Phenomenon
2K viewsJul 13, 2009
YouTubeWolfram Demonstrations
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Runge's Phenomenon: Equidistant vs Chebyshev Nodes
831 views9 months ago
YouTubeTensorPhilia
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Polynomial interpolation gone wrong!
5.6K views1 month ago
YouTubeProof by Confusion
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YouTubeØljen – Les maths en finesse
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YouTubeAnindita Labonno
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YouTubeØljen – Les maths en finesse
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Chapter 05.05: Lesson: Higher Order Interpolation is a Bad Idea
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YouTubenumericalmethodsguy
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YouTubeJust a Little Stretch
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Interpolacao polinomial - fenômeno de Runge
364 viewsJul 19, 2020
YouTubeMarcello Goulart Teixeira
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This video, created by my dear coauthor @MahdiKahou for our teaching and papers, shows
46.7K views1 month ago
x.comJesús Fernández-Villaverde
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