Intro to Jacobian + differentiability
A lecture that introduces the Jacobian matrix and its determinant. Such ideas may be thought of as a general derivative of a vector-valued function of many variables and find uses in integration theory.
From playlist Several Variable Calculus / Vector Calculus
Gentle example explaining how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Approximating the Jacobian: Finite Difference Method for Systems of Nonlinear Equations
Generalized Finite Difference Method for Simultaneous Nonlinear Systems by approximating the Jacobian using the limit of partial derivatives with the forward finite difference. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:13 Prerequisites 0:3
From playlist Solving Systems of Nonlinear Equations
Basics of the Jacobian and its use in a neural network using Python
#Python #DataScience In this 20 minute video I introduce the topic of the the Jacobian. It is simply a matrix of partial derivatives of single and multivariable functions or vector valued functions. While the Jacobian is easy to calculate by hand, we can also use the symbolic Python pack
From playlist Machine learning
Jacobian chain rule and inverse function theorem
A lecture that discusses: the general chain rule for the Jacobian derivative; and the inverse function theorem. The concepts are illustrated via examples and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Daniel Bertrand: Generalized Jacobians and Pellian polynomials
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
What is Jacobian? | The right way of thinking derivatives and integrals
Jacobian matrix and determinant are very important in multivariable calculus, but to understand them, we first need to rethink what derivatives and integrals mean. We can't think of derivatives as slopes if you want to generalise - there are four dimensions to graph the function! This vide
From playlist Covers
Jacobian prerequisite knowledge
Before jumping into the Jacobian, it's important to make sure we all know how to think about matrices geometrically. This is targetted towards those who have seen linear algebra but may need a quick refresher.
From playlist Multivariable calculus
[FFJORD] Free-form Continuous Dynamics for Scalable Reversible Generative Models (Part 1) | AISC
Note: due to a widespread power outage on the evening of the event, we were forced to cancel our event half-way. Please stay tuned for the Part 2 of the video. A.I. Socratic Circles For slides, code & more, visit: https://aisc.a-i.science/events/2019-04-04/ Speaker/Author: Will Grathwo
From playlist Generative Models
Oxford Calculus: Jacobians Explained
University of Oxford mathematician Dr Tom Crawford explains how to calculate the Jacobian for a 2D coordinate change and applies the general formula to polar coordinates. Test yourself with some exercises on calculating Jacobians for parabolic, hyperbolic and spherical polar coordinates w
From playlist Oxford Calculus
Extending the Prym map - Samuel Grushevsky
Samuel Grushevsky Stony Brook University February 10, 2015 The Torelli map associates to a genus g curve its Jacobian - a gg-dimensional principally polarized abelian variety. It turns out, by the works of Mumford and Namikawa in the 1970s (resp. Alexeev and Brunyate in 2010s), that the T
From playlist Mathematics
Newton's Method for Systems of Nonlinear Equations
Generalized Newton's method for systems of nonlinear equations. Lesson goes over numerically solving multivariable nonlinear equations step-by-step with visual examples and explanation of the Jacobian, the backslash operator, and the inverse Jacobian. Example code in MATLAB / GNU Octave on
From playlist Newton's Method
Benedict Gross: Rational points on hyperelliptic curves [2016]
Rational points on hyperelliptic curves Speaker: Benedict Gross, Harvard University Date and Time: Tuesday, November 1, 2016 - 10:00am to 11:00am Location: Fields Institute, Room 230 Abstract: One of Manjul Bhargava's most surprising results in arithmetic geometry is his proof that mos
From playlist Mathematics
The cohomology groups...Jacobians of planar curves - Luca Migliorini
Luca Migliorini University of Bologna; Member, School of Mathematics February 18, 2015 I will first discuss a relation between the cohomology groups (with rational coefficients) of the compactified Jacobian and those of the Hilbert schemes of a projective irreducible curve CC with planar
From playlist Mathematics
Example discussing the Chain Rule for the Jacobian matrix. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Normal functions and the geometry of moduli spaces of curves - Richard Hain
Richard Hain Duke University; Member, School of Mathematics January 13, 2015 In this talk, I will begin by recalling the classification of normal functions over g,nMg,n, the moduli space of nn-pointed smooth projective curves of genus gg. I'll then explain how they can be used to resolve
From playlist Mathematics