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Why images are compressible: The Vastness of Image Space

What is Sparsity?

Compressed Sensing: Overview

Compressed Sensing: Mathematical Formulation

Underdetermined systems and compressed sensing [Python]

Underdetermined systems and compressed sensing [Matlab]

Beating Nyquist with Compressed Sensing

Shannon Nyquist Sampling Theorem

Beating Nyquist with Compressed Sensing, part 2

Beating Nyquist with Compressed Sensing, in Python

Sparsity and the L1 Norm

Compressed Sensing: When It Works

Robust Regression with the L1 Norm

Robust Regression with the L1 Norm [Matlab]

Robust Regression with the L1 Norm [Python]

Robust, Interpretable Statistical Models: Sparse Regression with the LASSO

Sparse Representation (for classification) with examples!

Robust Principal Component Analysis (RPCA)

Robust Modal Decompositions for Fluid Flows

Sparse Sensor Placement Optimization for Reconstruction

Sparse Sensor Placement Optimization for Classification

Sparsity and Parsimonious Models: Everything should be made as simple as possible, but no simpler

PySINDy: A Python Library for Model Discovery

Description:

Explore the concepts of sparsity and compression in this comprehensive 4.5-hour video series. Delve into the vastness of image space, understand the fundamentals of compressed sensing, and learn how to beat the Nyquist sampling theorem. Discover the power of the L1 norm in robust regression and sparse representation for classification. Investigate advanced topics such as Robust Principal Component Analysis (RPCA) and sparse sensor placement optimization. Gain practical skills using Python and MATLAB to implement underdetermined systems, compressed sensing, and robust regression techniques. Examine the importance of parsimonious models and explore PySINDy, a Python library for model discovery. Master the art of creating simple yet effective models in data analysis and signal processing.

Sparsity and Compression

Steve Brunton

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#Data Science #Data Analysis #Programming #Programming Languages #Python #Domain-Specific Languages (DSL) #MATLAB #Engineering #Electrical Engineering #Signal Processing #Computer Science #Artificial Intelligence #Computer Vision #Image Processing #Mathematics #Applied Mathematics #Mathematical Modeling #Compressed Sensing

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