Adaptive Gabor representation (AGR) is a of a signal where its variance is adjustable. There's always a trade-off between time resolution and frequency resolution in traditional short-time Fourier transform (STFT). A long window leads to high frequency resolution and low time resolution. On the other hand, high time resolution requires shorter window, with the expense of low frequency resolution. By choosing the proper elementary function for signal with different spectrum structure, adaptive Gabor representation is able to accommodate both narrowband and wideband signal. (Wikipedia).

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)

The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 2)

Due to technical problems the blackboard is not visible. The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 3)

Due to technical problems the blackboard is not visible. The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Nicki Holighaus: Time-frequency frames and applications to audio analysis - Part 1

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 Analysis and its Applications

Jean-Claude Risset: Sound, music and wavelets in Marseille: A reminder of early sonic [...]

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

O'Reilly Webcast: Introduction to Gearman

Come learn the fundamentals of how to leverage Gearman, the open source, distributed job queuing system. Originally designed to scale LiveJournal.com, Gearman is now faster than ever and can help you build your own scalable applications. Gearman's generic design allows it to be used as a b

From playlist O'Reilly Webcasts

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 4)

The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single f

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Adaptive Quadrature | Lecture 41 | Vector Calculus for Engineers

What is adaptive quadrature? Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1

From playlist Numerical Methods for Engineers

This video explains the remarkable paper that allows photorealistic image synthesis from pixel maps! This is done with the use of a Spatially Adaptive Normalization layer (explained in the video)! Thanks for watching, please subscribe! Paper Link: https://arxiv.org/pdf/1903.07291.pdf

From playlist Generative Adversarial Networks

Stéphane Mallat: "Scattering Invariant Deep Networks for Classification, Pt. 1"

Graduate Summer School 2012: Deep Learning, Feature Learning "Scattering Invariant Deep Networks for Classification, Pt. 1" Stéphane Mallat, École Polytechnique Institute for Pure and Applied Mathematics, UCLA July 18, 2012 For more information: https://www.ipam.ucla.edu/programs/summer

From playlist GSS2012: Deep Learning, Feature Learning

(ML 16.7) EM for the Gaussian mixture model (part 1)

Applying EM (Expectation-Maximization) to estimate the parameters of a Gaussian mixture model. Here we use the alternate formulation presented for (unconstrained) exponential families.

From playlist Machine Learning

Bruno Olshausen: "From Natural Scene Statistics to Models of Neural Coding & Representation, Pt. 2"

Graduate Summer School 2012: Deep Learning, Feature Learning "From Natural Scene Statistics to Models of Neural Coding & Representation, Pt. 2" Bruno Olshausen, UC Berkeley Institute for Pure and Applied Mathematics, UCLA July 25, 2012 For more information: https://www.ipam.ucla.edu/pro

From playlist GSS2012: Deep Learning, Feature Learning

Bruno Olshausen: "From Natural Scene Statistics to Models of Neural Coding & Representation, Pt. 1"

Graduate Summer School 2012: Deep Learning, Feature Learning "From Natural Scene Statistics to Models of Neural Coding & Representation, Pt. 1" Bruno Olshausen, UC Berkeley Institute for Pure and Applied Mathematics, UCLA July 24, 2012 For more information: https://www.ipam.ucla.edu/pro

From playlist GSS2012: Deep Learning, Feature Learning

Speech Analysis and a Tour of the Math Behind it #SoME2

What you are looking at right now is a spectragram of my voice as I am speaking into a microphone. When I first saw this I was quite perplexed by all the strange shapes and features embedded within the image. It made me wonder just how speech analysis is done? I was so intrigued by this t

From playlist Summer of Math Exposition 2 videos

Romanos Malikiosis: Full spark Gabor frames in finite dimensions

Romanos Malikiosis: Full spark Gabor frames in finite dimensions Abstract: The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. Gabor frame is the set of all time-frequency translates of a complex function and is a fundamental too

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Hans Feichtinger: Wavelet theory, coorbit spaces and ramifications

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

An introduction to Beamforming

This video talks about how we actually have more control over the shape of the beam than just adding additional elements or adjusting the position and orientation of the elements. We can also adjust the gain of the signal to each element and apply phase unevenly to each element, and that

From playlist Understanding Phased Array Systems and Beamforming

Palina Salanevich - STFT Phase retrieval: robustness and generative priors - IPAM at UCLA

Recorded 02 December 2022. Palina Salanevich of Utrecht University Department of Mathematics presents "STFT Phase retrieval: robustness and generative priors" at IPAM's Multi-Modal Imaging with Deep Learning and Modeling Workshop. Abstract: Phase retrieval is the non-convex inverse problem

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