Order theory | Abstract algebra | Functions and mappings | General topology | Model theory | Maps of manifolds | Category theory | Differential topology

Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup. When some object is said to be embedded in another object , the embedding is given by some injective and structure-preserving map . The precise meaning of "structure-preserving" depends on the kind of mathematical structure of which and are instances. In the terminology of category theory, a structure-preserving map is called a morphism. The fact that a map is an embedding is often indicated by the use of a "hooked arrow" (U+21AA ↪ RIGHTWARDS ARROW WITH HOOK); thus: (On the other hand, this notation is sometimes reserved for inclusion maps.) Given and , several different embeddings of in may be possible. In many cases of interest there is a standard (or "canonical") embedding, like those of the natural numbers in the integers, the integers in the rational numbers, the rational numbers in the real numbers, and the real numbers in the complex numbers. In such cases it is common to identify the domain with its image contained in , so that . (Wikipedia).

Video thumbnail

Word Embeddings

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

Video thumbnail

Graph Neural Networks, Session 6: DeepWalk and Node2Vec

What are Node Embeddings Overview of DeepWalk Overview of Node2vec

From playlist Graph Neural Networks (Hands-on)

Video thumbnail

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

Video thumbnail

Lecture13. Graph Embeddings

Network Science 2021 @HSE

From playlist Network Science, 2021

Video thumbnail

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

Video thumbnail

Jasna Urbančič (11/03/21):Optimizing Embedding using Persistence

Title: Optimizing Embedding using Persistence Abstract: We look to optimize Takens-type embeddings of a time series using persistent (co)homology. Such an embedding carries information about the topology and geometry of the dynamics of the time series. Assuming that the input time series

From playlist AATRN 2021

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Understanding the Origins of Bias in Word Embeddings

Toronto Deep Learning Series Author Speaking For more details, visit https://tdls.a-i.science/events/2019-03-18/ Speaker: Marc Etienne Brunet (author) Facilitator: Waseem Gharbieh Abstract: The power of machine learning systems not only promises great technical progress, but risks soc

From playlist Natural Language Processing

Video thumbnail

NJIT Data Science Seminar: Steven Skiena, Stony Brook University

NJIT Institute for Data Science https://datascience.njit.edu/ Word and Graph Embeddings for Machine Learning Steven Skiena, Ph.D. Distinguished Professor Department of Computer Science Stony Brook University Distributed word embeddings (word2vec) provides a powerful way to reduce large

From playlist Talks

Video thumbnail

Paper Read Aloud: Interactive Refinement of Cross-Lingual Word Embeddings

An experiment! I recorded this a while ago but didn't post it until now because ... 2020. A long time ago, a blind student once asked me to record myself reading my papers when he found that I do that anyway during my editing process, so I finally did it. This is an experiment, feedback

From playlist Papers Read Aloud

Video thumbnail

CS224W: Machine Learning with Graphs | 2021 | Lecture 3.1 - Node Embeddings

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Cv1BEU Jure Leskovec Computer Science, PhD From previous lectures we see how we can use machine learning with feature engineering to make predictions on nodes, li

From playlist Stanford CS224W: Machine Learning with Graphs

Video thumbnail

On embeddings of manifolds - Dishant Mayurbhai Pancholi

Seminar in Analysis and Geometry Topic: On embeddings of manifolds Speaker: Dishant Mayurbhai Pancholi Affiliation: Chennai Mathematical Institute; von Neumann Fellow, School of Mathematics Date: October 26, 2021 We will discuss embeddings of manifolds with a view towards applications i

From playlist Mathematics

Video thumbnail

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

Video thumbnail

CMU Neural Nets for NLP 2017 (3): Models of Words

This lecture (by Graham Neubig) for CMU CS 11-747, Neural Networks for NLP (Fall 2017) covers: * Describing a word by the company that it keeps * Counting and predicting * Skip-grams and CBOW * Evaluating/Visualizing Word Vectors * Advanced Methods for Word Vectors Slides: http://phontron

From playlist CMU Neural Nets for NLP 2017

Video thumbnail

Learn low-dim Embeddings that encode GRAPH structure (data) : "Representation Learning" /arXiv

Optimize your complex Graph Data before applying Neural Network predictions. Automatically learn to encode graph structure into low-dimensional embeddings, using techniques based on deep learning and nonlinear dimensionality reduction. An encoder-decoder perspective, random walk approach

From playlist Learn Graph Neural Networks: code, examples and theory

Video thumbnail

How to Embed a Twitter Feed to a Blogger Post

How to embed a Twitter feed (widget) directly into a Blogger post. Duane Habecker: https://about.me/duanehabecker Twitter: @dhabecker

From playlist EdTech Stuff

Video thumbnail

Kaggle Reading Group: Universal Sentence Encoder (Part 2) | Kaggle

Join Kaggle Data Scientist Rachael as she reads through paper "Universal Sentence Encoder" by Cer et al. (Unpublished.) Link to paper: https://arxiv.org/pdf/1803.11175.pdf Repo with code: https://github.com/tensorflow/tfjs-models/tree/master/universal-sentence-encoder SUBSCRIBE: https:

From playlist Kaggle Reading Group | Kaggle

Related pages

Topological manifold | Topological space | Local homeomorphism | Metric space | Domain theory | Homeomorphism | Cover (algebra) | Partially ordered set | Ideal (ring theory) | Group (mathematics) | Subobject | Domain of a function | Pullback (category theory) | Inverse function theorem | Model theory | Stretch factor | Transversality (mathematics) | Inclusion map | Curve | Rational number | Roman surface | Directed set | Universal algebra | Injective function | Mathematical structure | Pullback (differential geometry) | Local diffeomorphism | Immersion (mathematics) | Factorization system | Field extension | Neighbourhood (mathematics) | Dvoretzky's theorem | Riemannian geometry | Boy's surface | Real projective space | Submanifold | Open set | General topology | Field theory (mathematics) | Mathematics | Natural number | Field (mathematics) | Integer | Diffeomorphism | Ring homomorphism | Real number | Riemannian manifold | Pushforward (differential) | Dual (category theory) | Category theory | Closure operator | Differential topology | Morphism | Order theory | Concrete category | Monomorphism | Signature (logic) | Manifold | Subcategory | Johnson–Lindenstrauss lemma | Fiber (mathematics) | Hilbert space | Structure (mathematical logic) | Complex number | Subgroup | Subspace topology | Variety (universal algebra) | Kernel (algebra) | Closed immersion | Discrete space | Pseudo-Riemannian manifold | Image (mathematics) | Closed set | Whitney embedding theorem