Functional analysis

Continuous embedding

In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the Sobolev embedding theorems are continuous embedding theorems. (Wikipedia).

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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

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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

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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

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Lecture13. Graph Embeddings

Network Science 2021 @HSE

From playlist Network Science, 2021

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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)

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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

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Rasa Algorithm Whiteboard - General Embeddings vs. Specific Problems

In this video, we'll highlight a qualitative argument of why you may not need to worry about pre-trained embeddings too much. They might cause an improvement but because they represent a general pattern in language ... you could wonder if the pattern applies to your specific use-case. So i

From playlist Algorithm Whiteboard

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Rasa Algorithm Whiteboard - Understanding Word Embeddings 3: GloVe

In this video we're going to explore GloVe embeddings while also understanding why word embeddings are genuinely hard to understand. We'll train our own variant of these embeddings too and you can find the code for this on github as well as colab. This material can be found here; https:/

From playlist Algorithm Whiteboard

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Symplectic Embeddings and Infinite Staircases - Nicole Magill

Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Symplectic Embeddings and Infinite Staircases Speaker: Nicole Magill Affiliation: Cornell University Date: February 6, 2023 The four dimensional ellipsoid embedding function of a toric symplectic manifold M measures when a

From playlist Mathematics

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Markus Haase : Operators in ergodic theory - Lecture 1 : Operators dynamics versus ...

Abstract : The titles of the of the individual lectures are: 1. Operators dynamics versus base space dynamics 2. Dilations and joinings 3. Compact semigroups and splitting theorems Recording during the thematic meeting : "Probabilistic Aspects of Multiple Ergodic Averages " the December 6

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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BigScience BLOOM | 3D Parallelism Explained | Large Language Models | ML Coding Series

❤️ Become The AI Epiphany Patreon ❤️ https://www.patreon.com/theaiepiphany 👨‍👩‍👧‍👦 Join our Discord community 👨‍👩‍👧‍👦 https://discord.gg/peBrCpheKE In this 4th video of the Large Language Model series I walk you through the BigScience's BLOOM model codebase! The main focus is on underst

From playlist Transformers

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Laura Capuano: An effective criterion for periodicity of p-adic continued fractions

Abstract: It goes back to Lagrange that a real quadratic irrational has always a periodic continued fraction. Starting from decades ago, several authors proposed different definitions of a p-adic continued fraction, and the definition depends on the chosen system of residues mod p. It turn

From playlist Women at CIRM

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Word2Vec - Skipgram and CBOW

#Word2Vec #SkipGram #CBOW #DeepLearning Word2Vec is a very popular algorithm for generating word embeddings. It preserves word relationships and is used with a lot of Deep Learning applications. In this video we will learn about the working of word2vec and word embeddings. We will also

From playlist Deep Learning with Keras - Python

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OPT-175B: Open Pretrained Transformer | ML Coding Series

❤️ Become The AI Epiphany Patreon ❤️ https://www.patreon.com/theaiepiphany 👨‍👩‍👧‍👦 Join our Discord community 👨‍👩‍👧‍👦 https://discord.gg/peBrCpheKE In this video I do a deep dive into the metaseq (Open Pretrained Transformer, OPT-175B) codebase. I first show you how to set up the code o

From playlist Transformers

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MAST30026 Lecture 22: Urysohn's lemma

I gave the proof of Urysohn's lemma and briefly elaborated some of its important consequences. Given a pair of closed disjoint subsets of a normal topological space, the lemma asserts the existence of a real-valued continuous function on the space which takes the value 0 on the first close

From playlist MAST30026 Metric and Hilbert spaces

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Markus Haase : Operators in ergodic theory - Lecture 2 : Dilations and joinings

Abstract : The titles of the of the individual lectures are: 1. Operators dynamics versus base space dynamics 2. Dilations and joinings 3. Compact semigroups and splitting theorems Recording during the thematic meeting : "Probabilistic Aspects of Multiple Ergodic Averages " the December 7

From playlist Dynamical Systems and Ordinary Differential Equations

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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

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Transfer learning and Transformer models (ML Tech Talks)

In this session of Machine Learning Tech Talks, Software Engineer from Google Research, Iulia Turc, will walk us through the recent history of natural language processing, including the current state of the art architecture, the Transformer. 0:00 - Intro 1:07 - Encoding text 8:21 - Langu

From playlist ML & Deep Learning

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Deep Learning 4: Beyond Image Recognition, End-to-End Learning, Embeddings

Raia Hadsell, Senior Research Scientist, discusses beyond image recognition, end-to-end learning, and embeddings as part of the Advanced Deep Learning & Reinforcement Learning Lectures. Slides in video contain images from: Shelhamer, Long, Darrell (2016) Fully Convolutional Networks for

From playlist Learning resources

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Word Representation Learning

Today we take a look at word representations and basic word embeddings including a usage example in Information Retrieval. Slides & transcripts are available at: https://github.com/sebastian-hofstaetter/teaching 📖 Check out Youtube's CC - we added our high quality (human corrected) transc

From playlist Advanced Information Retrieval 2021 - TU Wien

Related pages

Category of topological vector spaces | Identity function | Bounded set | Mathematics | Lp space | Rellich–Kondrachov theorem | Compact embedding | Lipschitz domain | Normed vector space | Sobolev inequality | Piecewise linear function | Continuous function | Open set | Morphism