Mathematical modeling | Applied mathematics | Mathematical terminology
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). The use of mathematical models to solve problems in business or military operations is a large part of the field of operations research. Mathematical models are also used in music, linguistics, and philosophy (for example, intensively in analytic philosophy). A model may help to explain a system and to study the effects of different components, and to make predictions about behavior. (Wikipedia).
(ML 13.6) Graphical model for Bayesian linear regression
As an example, we write down the graphical model for Bayesian linear regression. We introduce the "plate notation", and the convention of shading random variables which are being conditioned on.
From playlist Machine Learning
A solar system, a simulation made with Excel
An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap
From playlist Physics simulations
Natural Models of Type Theory - Steve Awodey
Steve Awodey Carnegie Mellon University; Member, School of Mathematics March 28, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
B28 An example problem of a linear model
Here is our first real-world linear problem.
From playlist Differential Equations
(ML 13.3) Directed graphical models - formalism (part 1)
Definition of a directed graphical model, or more precisely, what it means for a distribution to respect a directed acyclic graph.
From playlist Machine Learning
What is Math Modeling? Video Series Part 5: Getting a Solution
Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. This episode, number five in this new seven-part series, guides you through the process of finding a solution to your mathematical model. Here’s where you’ll fi
From playlist M3 Challenge
B27 Introduction to linear models
Now that we finally now some techniques to solve simple differential equations, let's apply them to some real-world problems.
From playlist Differential Equations
(ML 13.4) Directed graphical models - formalism (part 2)
Definition of a directed graphical model, or more precisely, what it means for a distribution to respect a directed acyclic graph.
From playlist Machine Learning
Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.
From playlist Learning medical statistics with python and Jupyter notebooks
How can mathematicians contribute to planetary challenges? – ICM2018
IMU Discussion Panels Panel 5 - How can mathematicians contribute to planetary challenges? Moderator: Hans Engler Panelists: Amit Apte, Maria J. Esteban, Pedro Leite da Silva Dias, Edward Lungu, Claudia Sagastizábal © ICM 2018 – International Congress of Mathematicians www.icm2018.or
From playlist IMU Discussion Panels
"A Virtual Heart: Mathematical and Numerical Models of the Cardiac Electromechanical Function"
by Francesco Regazzoni (Politecnico di Milano, Italy)
From playlist Mathematical Biology
What's the Point of Maths? - with Nira Chamberlain
All around the world children, and even some adults, ask the question: ‘What is the point of mathematics?’. The field of mathematical modelling not only helps answer this question, it can help quench the human thirst for knowledge. Watch the Q&A: https://youtu.be/veMihd8yzwk Subscribe for
From playlist Livestreams
Ivan Guo: Financial models of the future
Dr Ivan Guo's research lies predominantly in the areas of stochastic control and financial mathematics. In this interview, he reflects on his SMRI visit and explains the models behind financial mathematics. Find out how transport theory applies to quantitative finance (as well as logisti
From playlist SMRI Interviews
Wolfram Physics Project: Working Session Saturday, July 25, 2020 [Metamathematics | Part 2]
This is a Wolfram Physics Project progress update at the Wolfram Summer School. This is a continuation of part two found here: https://youtu.be/x5v3KFFWv2o Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.
From playlist Wolfram Physics Project Livestream Archive
Wolfram Physics Project: a Conversation on Current Work (Jan. 26, 2021)
This is a Wolfram Physics Project conversation on our continuing efforts to make progress on the fundamental theory of physics. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Ch
From playlist Wolfram Physics Project Livestream Archive
How do mathematicians model infectious disease outbreaks?
Models. They are dictating our Lockdown lives. But what is a mathematical model? We hear about the end result, but how is it put together? What are the assumptions? And how accurate can it be? In our first online only Oxford Mathematics Public Lecture Robin Thompson, Research Fellow in M
From playlist Oxford Mathematics Public Lectures
Rinaldo Colombo: "On the Interplay between Mathematical Analysis and Traffic Modeling"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "On the Interplay between Mathematical Analysis and Traffic Modeling" Rinaldo Colombo - Università di Brescia Abstract: Mathematical Analysis offers a variety of to
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
8ECM Hirzebruch Lecture: Martin Hairer
From playlist 8ECM Public Lectures
What is Math Modeling? Video Series Part 4: Defining Variables
Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. After defining the problem statement and making assumptions, defining variables tells modelers exactly the units they are looking for. This creates the basis for
From playlist M3 Challenge