Generative topographic map (GTM) is a machine learning method that is a probabilistic counterpart of the self-organizing map (SOM), is probably convergent and does not require a shrinking neighborhood or a decreasing step size. It is a generative model: the data is assumed to arise by first probabilistically picking a point in a low-dimensional space, mapping the point to the observed high-dimensional input space (via a smooth function), then adding noise in that space. The parameters of the low-dimensional probability distribution, the smooth map and the noise are all learned from the training data using the expectation-maximization (EM) algorithm. GTM was introduced in 1996 in a paper by Christopher Bishop, Markus Svensen, and Christopher K. I. Williams. (Wikipedia).
High-precision map delivers a new picture of Antarctica's topography
Credit: NASA's Scientific Visualization Studio/DEMs provided by the Byrd Polar and Climate Research Center and the Polar Geospatial/Computer time provided through a Blue Waters Innovation Initiative/DEMs produced using data from DigitalGlobe, Inc.
From playlist Science Snippets
Create a Triangle with Given Area: Quick Formative Assessment with GeoGebra
GeoGebra Resource: https://www.geogebra.org/m/gbcbbx29
From playlist Geometry: Dynamic Interactives!
Mind maps: GeoGebra Notes New Feature!
🎉 #GeoGebra Notes new feature! 🎉 ➡️ Create your own mind map ➡️ Format any way you like! https://www.geogebra.org/notes
From playlist New Features and Releases
How Does the Earth Create Different Landforms? Crash Course Geography #20
Cliffs and canyons, beaches and dunes, floodplains and river valleys, plateaus and mountains — these are all products of a restless Earth. In today’s episode we’re going to take a closer look at how landforms greatly influence how people live and derive meaning and a sense of place. From t
From playlist Geography
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udem
From playlist NEW ANTS #1) Introductions
Polar Coordinates: Dynamic Illustrator
Link: https://www.geogebra.org/m/guCcvwFP
From playlist Trigonometry: Dynamic Interactives!
Surface Laplacian for cleaning, topoplogical localization, and connectivity
This lecturelet will introduce the surface Laplacian for cleaning and sharpening EEG data, and for preparation for connectivity analyses. The video uses files you can download from https://github.com/mikexcohen/ANTS_youtube_videos For more online courses about programming, data analysis,
From playlist OLD ANTS #6) Data pre-processing and cleaning
Area of a Circle (by PEELING)!
GeoGebra resource: https://www.geogebra.org/m/WFbyhq9d
From playlist Geometry: Dynamic Interactives!
Topographic VAEs learn Equivariant Capsules (Machine Learning Research Paper Explained)
#tvae #topographic #equivariant Variational Autoencoders model the latent space as a set of independent Gaussian random variables, which the decoder maps to a data distribution. However, this independence is not always desired, for example when dealing with video sequences, we know that s
From playlist Papers Explained
This video introduces how to interpret and create interpolated spatial distributions of electrode activity (a.k.a. topographical maps). The video uses files you can download from https://github.com/mikexcohen/ANTS_youtube_videos For more online courses about programming, data analysis, l
From playlist OLD ANTS #1) Introductions
From playlist GeoGebra Graphing Calculator
Introduction to Geometer's Sketchpad: Measurements
This video demonstrates some of the measurement and calculation features of Geometer's Sketchpad.
From playlist Geometer's Sketchpad
Gov 2.0 Expo 2010: Jack Dangermond, "GeoEnabling Gov 2.0"
Jack Dangermond (ESRI), "GeoEnabling Gov 2.0"
From playlist Gov 2.0 Expo 2010
Area within Polar Coordinates: Dynamic and Modifiable GeoGebra Illustrator
GeoGebra Resource Link: https://www.geogebra.org/m/mCuDhtjU
From playlist Calculus: Dynamic Interactives!
!!Con 2018: Pseudofractals! Accidental aesthetics where math meets pixels by Jes Wolfe!
Pseudofractals! Accidental aesthetics where math meets pixels by Jes Wolfe! Computers have their own aesthetics, which come from their limitations. In this talk, I’ll show you a family of glitch art that is so fundamental to the idea of pixels that it has been independently rediscovered,
From playlist !!Con 2018
Where 09: Rob Shanks, "ArcGIS and the Web: Better Sharing of Geographic Information"
Rob Shanks (ESRI) "ArcGIS and the Web: Better Sharing of Geographic Information"
From playlist Where 2.0 2009
Are Those Your Lips or Feet? How Your Brain Rewires Itself After Amputation
From the top of your head to the bottom of your feet, your brain contains a map to your entire body. But what happens to that map if you lose a limb? Scientists Want to Transplant a Human Head, Here's Why That's a Bad Idea - https://youtu.be/CMHhF5N1FPY Get 20% off http://www.domain.com
From playlist Elements | Seeker
Landscapes of St. Gregory: Towards an Ecoarthistory of Medieval Italy - Alison Perchuk
More videos on http://video.ias.edu
From playlist Friends of the Institute
Mapping Patagonia | Best Job Ever
Ross Donihue and Marty Schnure set out to create the first map of the future Patagonia National Park on a National Geographic Young Explorers grant. Their goal was to create an interactive map to give people an on-the-ground perspective of what it's like to stand in one of the most ecologi
From playlist Exploration | National Geographic
035 - Contour Lines In this video Paul Andersen explains how contour lines show areas of equal elevation or equal gravitational potential. Contour lines are used as an analogy for lines of equipotential in electric fields. Do you speak another language? Help me translate my videos: htt
From playlist AP Physics 2 Videos