Multivariate statistics | Exploratory data analysis

Projection pursuit

Projection pursuit (PP) is a type of statistical technique which involves finding the most "interesting" possible projections in multidimensional data. Often, projections which deviate more from a normal distribution are considered to be more interesting. As each projection is found, the data are reduced by removing the component along that projection, and the process is repeated to find new projections; this is the "pursuit" aspect that motivated the technique known as matching pursuit. The idea of projection pursuit is to locate the projection or projections from high-dimensional space to low-dimensional space that reveal the most details about the structure of the data set. Once an interesting set of projections has been found, existing structures (clusters, surfaces, etc.) can be extracted and analyzed separately. Projection pursuit has been widely used for blind source separation, so it is very important in independent component analysis. Projection pursuit seeks one projection at a time such that the extracted signal is as non-Gaussian as possible. (Wikipedia).

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Vector Projection

This video explains how to determine the projection of one vector onto another vector. http://mathispower4u.yolasite.com/

From playlist Vectors

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Projections (video 6): Outro

Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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Most Insane Immersive Movie Experience EVER, Part 1

Check out this guy's room totally change into the movie he is watching! No SFX, no post production, no cuts, everything you see here is 100% for real. We were funded by the Video Store of PlayStation® Store (http://www.greatfilmsfillrooms.com) to make a series of movie related videos us

From playlist Projection Mapping inspirations

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Projection of vectors

What is the projection of one vector on another one and how is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/CpZUX1mFLS

From playlist Introduction to Vectors

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Projections (video 4): N-dimensional projections

Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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3D Printing

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist 3D Printing

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What Is Extended Object Tracking? | Autonomous Navigation, Part 5

See the other videos in this series: https://www.youtube.com/playlist?list=PLn8PRpmsu08rLRGrnF-S6TyGrmcA2X7kg In many practical scenarios, there are other objects that may need to be observed and tracked in order to effectively navigate within an environment. This video will show extended

From playlist Autonomous Navigation

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Accelerated motion and oscillation!

In this video i demonstrate accelerated motion with interface. I show the graphs of simple accelerating motion and simple harmonic motion with force and motion sensor!

From playlist MECHANICS

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Michael Elad: "Sparse Modeling in Image Processing and Deep Learning"

New Deep Learning Techniques 2018 "Sparse Modeling in Image Processing and Deep Learning" Michael Elad, Technion - Israel Institute of Technology, Computer Science Abstract: Sparse approximation is a well-established theory, with a profound impact on the fields of signal and image proces

From playlist New Deep Learning Techniques 2018

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Rogers Smith, Lecture III: “Who Are We Americans Now?”

The 2018 Castle Lectures in Ethics, Politics and Economics were given by Professor Rogers Smith, Christopher H. Browne Distinguished Professor of Political Science; Associate Dean for Social Sciences, University of Pennsylvania The overall title is “That Is Not Who We Are! Populism and

From playlist Castle Lecture Series

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Finding structure in high dimensional data, methods and fundamental limitations - Boaz Nadler

Members' Seminar Topic: Finding structure in high dimensional data, methods and fundamental limitations Speaker: Boaz Nadler Affiliation: Weizmann Institute of Science; Member, School of Mathematics Date: October 14, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Concert Talks - Lara St. John and Martin Kennedy, Edward T. Cone Concert Series

Concert Talks - Lara St. John and Martin Kennedy, Edward T. Cone Concert Series Lara St. John, Martin Kennedy, Sebastian Currier November 24, 2013 The Edward T. Cone Concert Series continued on November 22 with Musical Geographies, featuring Lara St. John and Martin Kennedy. Over the years

From playlist Artist in Residence

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Secular Humanism: Mortality and Meaning - Dwight H. Terry Lectures 2013

Philosophy professor Philip Kitcher delivers the third of four lectures on secular humanism. Kitcher, who was born in London in 1947, received his B.A. from Cambridge University and his Ph.D. from Princeton. He has taught at several American universities and is currently John Dewey Profe

From playlist Terry Lectures

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Mathworks Excellence in Innovation Project 209 : Autonomous Navigation of Vehicle in Rough terrain

This is a demonstration of the implementation of Autonomous Navigation of a robot using Gazebo simulation and Matlab Simulink models The detailed documentation of this project is available below: https://github.com/mathworks/MathWorks-Excellence-in-Innovation/tree/main/projects/Autonomou

From playlist MathWorks Excellence in Innovation

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LEGO Star Wars Trench Run Automata + Lighting Build!

This week's LEGO build takes the newly released Star Wars Death Star Trench Run set and converts it into a piece of automata by remixing it with the LEGO Pursuit of Flight set. The result is a miniature scene with Vader's TIE Fighter in animated pursuit of Luke's X-Wing, against a backdrop

From playlist Star Wars!

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Laurent Jacques/Valerio Cambareri: Small width, low distortions: quantized random projections of...

Laurent Jacques / Valerio Cambareri: Small width, low distortions: quantized random projections of low-complexity signal sets Abstract: Compressed sensing theory (CS) shows that a "signal" can be reconstructed from a few linear, and most often random, observations. Interestingly, this rec

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

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10. The neural control of visually guided eye movements 1

MIT 9.04 Sensory Systems, Fall 2013 View the complete course: http://ocw.mit.edu/9-04F13 Instructor: Peter H. Schiller The video describes visually guided eye movements, including saccades and smooth pursuit movements. Also covered are the extraocular muscles, the cranial nerves and the p

From playlist MIT 9.04 Sensory Systems, Fall 2013

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0321 [ MMO/MUD ] -- Refining NPC scripts

This is #321 in my series of live (Twitch) coding streams. This stream I got the essential parts of the NPC "guide" system working in my game. Notebook page: https://tinyurl.com/uggz4ga -- Watch live at https://www.twitch.tv/rhymu8354

From playlist Excalibur

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4 Motion part 2

In this second part on Motion, we take a look at calculating the velocity and position vectors when given the acceleration vector and initial values for velocity and position. It involves as you might imagine some integration. Just remember that when calculating the indefinite integral o

From playlist Life Science Math: Vectors

Related pages

Targeted projection pursuit | Factor analysis | Matching pursuit | Independent component analysis | Projection pursuit regression | Normal distribution | John Tukey | Projection (linear algebra) | Principal component analysis