In graph drawing and geometric graph theory, a Tutte embedding or barycentric embedding of a simple, 3-vertex-connected, planar graph is a crossing-free straight-line embedding with the properties that the outer face is a convex polygon and that each interior vertex is at the average (or barycenter) of its neighbors' positions. If the outer polygon is fixed, this condition on the interior vertices determines their position uniquely as the solution to a system of linear equations. Solving the equations geometrically produces a planar embedding. Tutte's spring theorem, proven by W. T. Tutte, states that this unique solution is always crossing-free, and more strongly that every face of the resulting planar embedding is convex. It is called the spring theorem because such an embedding can be found as the equilibrium position for a system of springs representing the edges of the graph. (Wikipedia).
Rasa Algorithm Whiteboard - Understanding Word Embeddings 1: Just Letters
We're making a few videos that highlight word embeddings. Before training word embeddings we figured it might help the intuition if we first trained some letter embeddings. It might suprise you but the idea with an embedding can also be demonstrated with letters as opposed to words. We're
From playlist Algorithm Whiteboard
Positional embeddings in transformers EXPLAINED | Demystifying positional encodings.
What are positional embeddings / encodings? 📺 Follow-up video: Concatenate or add positional encodings? Learned positional embeddings. https://youtu.be/M2ToEXF6Olw ► Outline: 00:00 What are positional embeddings? 03:39 Requirements for positional embeddings 04:23 Sines, cosines explained
From playlist The Transformer explained by Ms. Coffee Bean
Word embeddings are one of the coolest things you can do with Machine Learning right now. Try the web app: https://embeddings.macheads101.com Word2vec paper: https://arxiv.org/abs/1301.3781 GloVe paper: https://nlp.stanford.edu/pubs/glove.pdf GloVe webpage: https://nlp.stanford.edu/proje
From playlist Machine Learning
Waht is SQL Injection | SQL Injection Tutorial | SQL Injection Tutorial for Beginners | Edureka
( PHP & MySQL with MVC Frameworks Certification Training - https://www.edureka.co/php-mysql-self-paced ) Watch Sample Class recording: http://www.edureka.co/php-mysql?utm_source=youtube&utm_medium=referral&utm_campaign=sql-injectn-tutt SQL injection is a code injection technique, used t
From playlist PHP & MySQL Tutorial Videos
Excel - Embed a PDF in Excel - Podcast #1466
Can you embed a PDF in an Excel worksheet? Yes - Using the 'Insert Object' Menu Tab. Follow along with Bill, in Episode #1466, as he shows us how to embed a PDF in our Worksheet. ...This blog is the video podcast companion to the book, Learn Excel 2007 through Excel 2010 from MrExcel. D
From playlist Excel General
This video is part of the Udacity course "Deep Learning". Watch the full course at https://www.udacity.com/course/ud730
From playlist Deep Learning | Udacity
Lorenz: Hitler's "Unbreakable" Cipher Machine
Many people have heard of Enigma before, the code machine used by Nazi Germany to send secret coded messages. Yet, some very clever code breakers were able to break that code and read those messages! But there was another cipher machine used by the Germans in WWII called the Lorenz machin
From playlist My Maths Videos
PowerPoint Quick Tip: Embed Fonts Within a File
In this video, you’ll learn more about embedding fonts within a file. Visit https://www.gcflearnfree.org/powerpoint-tips/embed-fonts-within-a-file/1/ to learn even more. We hope you enjoy!
From playlist Microsoft PowerPoint
How to Embed a Twitter Feed to a Google Sites Page
How to embed a Twitter feed (widget) directly into a Google Site page. Duane Habecker: https://about.me/duanehabecker Twitter: @dhabecker
From playlist EdTech Stuff
Adding vs. concatenating positional embeddings & Learned positional encodings
When to add and when to concatenate positional embeddings? What are arguments for learning positional encodings? When to hand-craft them? Ms. Coffee Bean’s answers these questions in this video. Outline: 00:00 Concatenated vs. added positional embeddings 04:49 Learned positional embedding
From playlist The Transformer explained by Ms. Coffee Bean
Exploiting the Tiltman Break - Computerphile
Professor Brailsford returns to the subject of why Colossus was built. The professor's notes: http://www.eprg.org/computerphile/lorenz-combined.pdf Bletchley Park Playlist: https://www.youtube.com/playlist?list=PLzH6n4zXuckrSWWIDJ_3To7ro5-naSk8v Professor Brailsford used the book "C
From playlist Bletchley Park (Colossus) Playlist
Noam Zeilberger - Untyped Linear Lambda Calculus and the Combinatorics of 3-valent Graphs
The lambda calculus was invented by Church in the late 1920s, as part of an ambitious project to build a foundation for mathematics around the concept of function. Although his original system turned out to be logically inconsistent, Church was able to extract from it two separate usable s
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Jose Perea (5/2/21): Quasiperiodicity and Persistent Kunneth Theorems
A signal is said to be quasiperiodic if its constitutive frequencies are linearly independent over the rationals. With appropriate parameters, the sliding window embedding of such a function can be shown to be dense in a torus of dimension equal to the number of independent frenquencies. I
From playlist TDA: Tutte Institute & Western University - 2021
Hibernate Tutorial | Hibernate Tutorial - 2 | Hibernate Tutorial for Beginners - 2 | Edureka
( Persistence with Hibernate Certification Training - https://www.edureka.co/persistence-with-hibernate-self-paced ) Watch Sample Class recording: http://www.edureka.co/persistence-with-hibernate?utm_source=youtube&utm_medium=referral&utm_campaign=hibernate-tutt-2 Hibernate solves objec
From playlist Hibernate Tutorial Videos
Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs
Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob
From playlist TDA: Tutte Institute & Western University - 2021
Henry Adams (5/1/21): Bridging applied and quantitative topology
I will survey emerging connections between applied topology and quantitative topology. Vietoris-Rips complexes were invented by Vietoris in order to define a (co)homology theory for metric spaces, and by Rips for use in geometric group theory. More recently, they have found applications in
From playlist TDA: Tutte Institute & Western University - 2021
Facundo Mémoli (5/2/21): The Gromov-Hausdorff distance between spheres
The Gromov-Hausdorff distance is a fundamental tool in Riemanian geometry, and also in applied geometry and topology. Whereas it is often easy to estimate the value of the distance between two given metric spaces, its precise value is rarely easy to determine. In this talk I will describe
From playlist TDA: Tutte Institute & Western University - 2021
Rasa Algorithm Whiteboard - Implementation of Subword Embeddings
In this video we highlight how you might construct a neural network that can handle subword embeddings.
From playlist Algorithm Whiteboard
Luis Scoccola (5/3/21): Approximate and discrete vector bundles
Synchronization problems, such as the problem of reconstructing a 3D shape from a set of 2D projections, can often be modeled by principal bundles. Similarly, the application of local PCA to a point cloud concentrated around a manifold approximates the tangent bundle of the manifold. In th
From playlist TDA: Tutte Institute & Western University - 2021