Wavelets: a mathematical microscope
Wavelet transform is an invaluable tool in signal processing, which has applications in a variety of fields - from hydrodynamics to neuroscience. This revolutionary method allows us to uncover structures, which are present in the signal but are hidden behind the noise. The key feature of w
From playlist Fourier
Half derivative and Fourier transform
Fourier transform definition of the half derivative For more fun, check out my fractional derivative playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmB_ma3YrfuOXTPOQawokYV_ In this video, I define fractional derivatives by using Fourier transforms. This definition is probably
From playlist Fractional Derivatives
In this video, we are going to visualize the concept of FRACTIONAL DERIVATIVE in a new geometric way.
From playlist Summer of Math Exposition Youtube Videos
An introduction to the wavelet transform (and how to draw with them!)
The wavelet transform allows to change our point of view on a signal. The important information is condensed in a smaller space, allowing to easily compress or filter the signal. A lot of approximations are made in this video, like a lot of missing √2 factors. This choice was made to keep
From playlist Summer of Math Exposition Youtube Videos
Understanding Wavelets, Part 2: Types of Wavelet Transforms
Explore the workings of wavelet transforms in detail. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr You will also learn important applications of using wavelet transforms with MATLAB®. Video Transcript: In the previous session, we discussed wavelet co
From playlist Understanding Wavelets
The Two-Dimensional Discrete Fourier Transform
The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen
From playlist Fourier
Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k
From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM
Understanding Wavelets, Part 1: What Are Wavelets
This introductory video covers what wavelets are and how you can use them to explore your data in MATLAB®. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr The video focuses on two important wavelet transform concepts: scaling and shifting. The concepts ca
From playlist Understanding Wavelets
Wavelets and Multiresolution Analysis
This video discusses the wavelet transform. The wavelet transform generalizes the Fourier transform and is better suited to multiscale data. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an
From playlist Data-Driven Science and Engineering
Band-pass filtering and the filter-Hilbert method
The Hilbert transform produces uninterpretable results on broadband data. You will need to narrow-band filter the signal first. This video shows one method of computing an FIR filter and applying it to EEG data. Together with the Hilbert transform, this gives us the filter-Hilbert method.
From playlist OLD ANTS #4) Time-frequency analysis via other methods
Michael Unser: Wavelets and stochastic processes: how the Gaussian world became sparse
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist 30 years of wavelets
Bruno Martin: Some interactions between number theory and multifractal analysis
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 24, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Stéphane Jaffard - Conférence organisée par l'Institut Fourier et le Laboratoire Jean Kuntzmann
Conférence organisée par l'Institut Fourier et le Laboratoire Jean Kuntzmann Licence: CC BY NC-ND 4.0
From playlist Conférences grand public "MathEnVille"
Terrence Tao on Yves Meyer's work on Wavelets
This clip is from the 2017 Abel Prize announcement. Presentation by Terrence Tao on Yves Meyer's work related to wavelets.
From playlist The Abel Prize announcements
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #3) Time-frequency analysis
The Abel Prize announcement 2017 - Yves Meyer
0:45 The Abel Prize announced by Ole M. Sejersted, President of The Norwegian Academy of Science and Letters 2:06 Citation by John Rognes, Chair of the Abel committee 6:49 Popular presentation of the prize winners work by professor Terrence Tao 25:19 Phone interview with Yves Meyer 37:12 C
From playlist The Abel Prize announcements
Colloquium MathAlp 2018 - Stéphane Jaffard
Quelle est la régularité de la fonction de Brjuno ? Introduite par J.-C. Yoccoz, la fonction de Brjuno fournit une information importante sur les problèmes de petits diviseurs analytiques. Elle semble ne posséder aucune régularite en un sens raisonnable: elle n'est nulle part localement
From playlist Colloquiums MathAlp
Alain Arneodo: Wavelet-based multifractal analysis of dynamic infrared thermograms [...]
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist 30 years of wavelets
AMMI Course "Geometric Deep Learning" - Lecture 7 (Grids) - Joan Bruna
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July-August 2021 by Michael Bronstein (Imperial College/Twitter), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 7: Grids and Translations • Tr
From playlist AMMI Geometric Deep Learning Course - First Edition (2021)
How to apply Fourier transforms to solve differential equations
Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to apply Fourier transforms to solve differential equations. An example is discussed and solved.
From playlist Partial differential equations