Second-generation wavelet transform

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

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 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

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

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

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

To Understand the Fourier Transform, Start From Quantum Mechanics

Develop a deep understanding of the Fourier transform by appreciating the critical role it plays in quantum mechanics! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Sign up for my newsletter for additional physics lessons: https://www.physicswithelliot.c

From playlist Physics Mini Lessons

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

Fourier Transforms: Second Shifting Theorem

Free ebook https://bookboon.com/en/partial-differential-equations-ebook A shifting theorem from Fourier transforms is presented and proven. An example is discussed illustrating how to apply the result. Such ideas have the ability to help solve partial differential equations.

From playlist Partial differential equations

Anna Little - Unbiasing Procedures for Scale-invariant Multi-reference Alignment - IPAM at UCLA

Recorded 28 November 2022. Anna Little of the University of Utah presents "Unbiasing Procedures for Scale-invariant Multi-reference Alignment" at IPAM's Multi-Modal Imaging with Deep Learning and Modeling Workshop. Abstract: Recent advances in applications such as cryo-electron microscopy

From playlist 2022 Multi-Modal Imaging with Deep Learning and Modeling

On the (unreasonable) effectiveness of compressive imaging – Ben Adcock, Simon Fraser University

This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai

From playlist Mathematics of data: Structured representations for sensing, approximation and learning

Stéphane Mallat: "Deep Generative Networks as Inverse Problems"

New Deep Learning Techniques 2018 "Deep Generative Networks as Inverse Problems" Stéphane Mallat, École Normale Supérieure Abstract: Generative Adversarial Networks and Variational Auto-Encoders provide impressive image generations from Gaussian white noise, which are not well understood

From playlist New Deep Learning Techniques 2018

Stéphane Mallat: "Scattering Invariant Deep Networks for Classification, Pt. 3"

Graduate Summer School 2012: Deep Learning, Feature Learning "Scattering Invariant Deep Networks for Classification, Pt. 3" Stéphane Mallat, École Polytechnique Institute for Pure and Applied Mathematics, UCLA July 19, 2012 For more information: https://www.ipam.ucla.edu/programs/summer

From playlist GSS2012: Deep Learning, Feature Learning

Stéphane Mallat: A Wavelet Zoom to Analyze a Multiscale World

Abstract: Complex physical phenomena, signals and images involve structures of very different scales. A wavelet transform operates as a zoom, which simplifies the analysis by separating local variations at different scales. Yves Meyer found wavelet orthonormal bases having better propertie

From playlist Abel Lectures

Stéphane Mallat - Apprentissage par invariants en grande dimension

Apprentissage par invariants en grande dimension : de l’image ou de la musique à la chimie quantique Huawei-IHÉS Workshop on Mathematical Sciences Tuesday, May 5th 2015

From playlist Huawei-IHÉS Workshop on Mathematical Sciences

Edouard Oyallon: One signal processing view on deep Learning - lecture 2

Since 2012, deep neural networks have led to outstanding results in many various applications, literally exceeding any previously existing methods, in texts, images, sounds, videos, graphs... They consist of a cascade of parametrized linear and non-linear operators whose parameters are opt

From playlist Mathematical Aspects of Computer Science

Autoencoder Image Generation with Multiscale Sparse (...) - Mallat - Workshop 3 - CEB T1 2019

Stéphane Mallat (Collège de France) / 04.04.2019 Autoencoder Image Generation with Multiscale Sparse Deconvolutions. Autoencoders and GAN's can synthesize remarkably complex images, although we still do not understand the mathematical properties of the generated random processes. We int

From playlist 2019 - T1 - The Mathematics of Imaging

Stéphane MALLAT - Mathematical mysteries of deep neural networks

https://ams-ems-smf2022.inviteo.fr/

From playlist International Meeting 2022 AMS-EMS-SMF

Introduction to the z-Transform

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces the definition of the z-transform, the complex plane, and the relationship between the z-transform and the discrete-time Fourier transfor

From playlist The z-Transform