Diffusion wavelets are a fast multiscale framework for the analysis of functions on discrete (or discretized continuous) structures like graphs, manifolds, and point clouds in Euclidean space. Diffusion wavelets are an extension of classical wavelet theory from harmonic analysis. Unlike classical wavelets whose basis functions are predetermined, diffusion wavelets are adapted to the geometry of a given diffusion operator (e.g., a heat kernel or a random walk). Moreover, the diffusion wavelet basis functions are constructed by dilation using the dyadic powers (powers of two) of . These dyadic powers of diffusion over the space and propagate local relationships in the function throughout the space until they become global. And if the rank of higher powers of decrease (i.e., its spectrum decays), then these higher powers become compressible. From these decaying dyadic powers of comes a chain of decreasing subspaces. These subspaces are the scaling function approximation subspaces, and the differences in the subspace chain are the wavelet subspaces. Diffusion wavelets were first introduced in 2004 by Ronald Coifman and Mauro Maggioni at Yale University. (Wikipedia).
Waves II 1_2 Traveling Electromagnetic Waves
The electromagnetic wave from the Maxwell equations.
From playlist Physics - Waves
Waves II 1_5 Energy Transport and the Poynting Vector
Energy transport in an electromagnetic wave.
From playlist Physics - Waves
Waves II 1_6 Energy Transport and the Poynting Vector
Energy transport in an electromagnetic wave.
From playlist Physics - Waves
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
Waves II 1_4 Energy Transport and the Poynting Vector
Energy transport in an electromagnetic wave.
From playlist Physics - Waves
Solution to problems dealing with the Doppler effect.
From playlist Physics - Waves
Waves II 1_1 Traveling Electromagnetic Waves
Introduction to electromagnetic waves.
From playlist Physics - Waves
Solution to problems dealing with the Doppler effect.
From playlist Physics - Waves
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
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
Reverse mathematical methods for reconstructing molecular dynamics... - 15 October 2018
http://crm.sns.it/event/425/ Reverse mathematical methods for reconstructing molecular dynamics in single cell The latest developments in sequencing and high resolution imaging have led to a recent surge of datasets, requiring new mathematical and statistical methods to analyze the biolog
From playlist Centro di Ricerca Matematica Ennio De Giorgi
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
Marcelo Pereyra: Bayesian inference and mathematical imaging - Lecture 2: Markov chain Monte Carlo
Bayesian inference and mathematical imaging - Part 2: Markov chain Monte Carlo Abstract: This course presents an overview of modern Bayesian strategies for solving imaging inverse problems. We will start by introducing the Bayesian statistical decision theory framework underpinning Bayesi
From playlist Probability and Statistics
The Fluid Dynamics of Cumulus Clouds by Roddam Narasimha
Summer school and Discussion Meeting on Buoyancy-driven flows DATE: 12 June 2017 to 20 June 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Buoyancy plays a major role in the dynamics of atmosphere and interiors of planets and stars, as well as in engineering applications. This field
From playlist Summer school and Discussion Meeting on Buoyancy-driven flows
Conférence grand public « MathEnVille » 2018 de Ronald Coifman
Des oscillations de Fourier aux ondes gravitationnelles : la théorie analytique de la propagation de l'information
From playlist Conférences grand public "MathEnVille"
Albert Cohen: The joy and pain of wavelets in numerical simulation
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
Martin Vetterli: Wavelets and signal processing: a match made in heaven
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
D2I - Synthetic Aperture Radar Interferormetry for 3D Modeling
Adobe Connect video talk given by Maryam Rahnemoonfar on Synthetic Aperture Radar Interferormetry for 3D Modeling This talk was sponsored by the Data to Insight Center Seminar Series http://d2i.indiana.edu/ Current D2I Seminar Series Schedule - http://d2i.indiana.edu/events/ Data to Ins
From playlist Data to Insight Center (D2I)
Lecture 4 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood wraps up the theoretical aspects of the Fourier Series, an application to heat flow. The Fourier transform is a tool for solving physical probl
From playlist Fourier
Waves II 1_7 Energy Transport and the Poynting Vector
Example problem using the energy transport in an electromagnetic wave.
From playlist Physics - Waves