Summary statistics for contingency tables | Information theory | Entropy and information

Pointwise mutual information

In statistics, probability theory and information theory, pointwise mutual information (PMI), or point mutual information, is a measure of association. It compares the probability of two events occurring together to what this probability would be if the events were independent. PMI (especially in its positive pointwise mutual information variant) has been described as "one of the most important concepts in NLP", where it "draws on the intuition that the best way to weigh the association between two words is to ask how much more the two words co-occur in [a] corpus than we would have a priori expected them to appear by chance." The concept was introduced in 1961 by Robert Fano under the name of "mutual information", but today that term is instead used for a related measure of dependence between random variables: The mutual information (MI) of two discrete random variables refers to the average PMI of all possible events. (Wikipedia).

Video thumbnail

Mutual Information, Clearly Explained!!!

Mutual Information is metric that quantifies how similar or different two variables are. This is a lot like R-squared, but R-squared only works for continuous variables. What's cool about Mutual Information is that it works for both continuous and discrete variables. So, in this video, we

From playlist StatQuest

Video thumbnail

CCSS What is an angle bisector

👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

Video thumbnail

What is an angle and it's parts

👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

Video thumbnail

Can vertical angles be complementary

👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

Video thumbnail

Homework 1: Word Relatedness | Stanford CS224U Natural Language Understanding | Spring 2021

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai To learn more about this course visit: https://online.stanford.edu/courses/cs224u-natural-language-understanding To follow along with the course schedule and sy

From playlist Stanford CS224U: Natural Language Understanding | Spring 2021

Video thumbnail

R - Association Measures: Collocations, PMI, and Co-occurrence

Lecturer: Dr. Erin M. Buchanan Summer 2019 https://www.patreon.com/statisticsofdoom This video is part of my human language modeling class. This video explores the relationship between words (or any data you can convert to numbers!) using association through point wise mutual informatio

From playlist Human Language (ANLY 540)

Video thumbnail

Determining if two events are mutually exclusive or not

👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau

From playlist Probability of Mutually Exclusive Events

Video thumbnail

How to determine if two events are mutually exclusive or not

👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau

From playlist Probability of Mutually Exclusive Events

Video thumbnail

Nexus trimester - Omri Weinstein (Courant Institute (NYU)) 3/6

Interactive Information Complexity and Applications : Interactive Compression - Part I/1 Omri Weinstein (Courant Institute (NYU)) February 08, 2016 Abstract: Communication complexity had a profound impact on nearly every field of theoretical computer science, and is one of the rare method

From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme

Video thumbnail

How to find the probability between two mutually exclusive events

👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau

From playlist Probability of Mutually Exclusive Events

Video thumbnail

(IC 1.6) A different notion of "information"

An informal discussion of the distinctions between our everyday usage of the word "information" and the information-theoretic notion of "information". A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F Attribution for image of TV static:

From playlist Information theory and Coding

Video thumbnail

Lecture 2 – Word Vectors 1 | Stanford CS224U: Natural Language Understanding | Spring 2019

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Professor Christopher Potts & Consulting Assistant Professor Bill MacCartney, Stanford University http://onlinehub.stanford.edu/ Professor Christopher Potts Pr

From playlist Stanford CS224U: Natural Language Understanding | Spring 2019

Video thumbnail

[Research, NeurIPS 2021] Is Topic Model Evaluation Broken? The Incoherence of Coherence

Topic models help historians, journalists, and analysts make sense of large text collections. But how do you know if you have a good one? The field has settled on using “Automatic Coherence”, but this paper argues that maybe that isn’t the right choice if you want to actually make real u

From playlist Research Talks

Video thumbnail

Mariusz Mirek: Pointwise ergodic theorems for bilinear polynomial averages

We shall discuss the proof of pointwise almost everywhere convergence for the non-conventional (in the sense of Furstenberg and Weiss) bilinear polynomial ergodic averages. This is joint work with Ben Krause and Terry Tao: arXiv:2008.00857. We will also talk about recent progress towards e

From playlist Seminar Series "Harmonic Analysis from the Edge"

Video thumbnail

What makes AI Interpretable to a Human? [Lecture]

Towards A Rigorous Science of Interpretable Machine Learning: https://arxiv.org/abs/1702.08608 The mythos of model interpretability: https://arxiv.org/abs/1606.03490 Topic Model Overview: https://www.youtube.com/watch?v=fCmIceNqVog The Incoherence of Coherence: https://www.youtube.com/w

From playlist Machine Learning

Video thumbnail

Dimensionality Reduction | Stanford CS224U Natural Language Understanding | Spring 2021

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai To learn more about this course visit: https://online.stanford.edu/courses/cs224u-natural-language-understanding To follow along with the course schedule and sy

From playlist Stanford CS224U: Natural Language Understanding | Spring 2021

Video thumbnail

Giuseppe Savaré: The Weighted Energy Dissipation WED principle for gradient flows (part 4)

It is well known that gradient flows in linear or metric spaces can be constructed by studying the limit of the discrete solutions obtained by the so called Minimizing Movement scheme. The lectures will present an introduction to another variational method, consisting in a family of minimu

From playlist HIM Lectures 2015

Video thumbnail

Ranking Methods : Data Science Concepts

You searched for "cats" ... now what? Intro to Ranking Video : https://youtube.com/watch?v=YroewVVp7SM My Patreon : https://www.patreon.com/user?u=49277905

From playlist Data Science Concepts

Video thumbnail

What is a Coordinate Covalent Bond?

This chemistry video tutorial provides a basic introduction into coordinate covalent bond. Line any covalent bond, electrons are shared. However, in a coordinate covalent bond, one atom donates both electrons that contribute to the formation of the bond. A lewis acid lewis base reaction

From playlist New AP & General Chemistry Video Playlist

Related pages

Chain rule (probability) | Bayes' theorem | Independence (probability theory) | Probability theory | Mutual information | Statistics | Probability space | Information theory