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
Gentle example explaining how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
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
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
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus
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
David Masser: Avoiding Jacobians
Abstract: It is classical that, for example, there is a simple abelian variety of dimension 4 which is not the jacobian of any curve of genus 4, and it is not hard to see that there is one defined over the field of all algebraic numbers \overline{\bf Q}. In 2012 Chai and Oort asked if ther
From playlist Algebraic and Complex Geometry
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
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Jacobian - In this video, I give the formula for the Jacobian of a transformation and do a simple example of calculating the Jacobian. For more free math
From playlist All Videos - Part 8
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
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
Fabien Pazuki: Bertini and Northcott
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Béa de Laporte - Landau-Ginzburg potentials via projective representations
Many interesting spaces arise as partial compactifications of Fock-Goncharov's cluster varieties, among them (affine cones over) flag varieties which are important objects in representation theory of algebraic groups. Due to a construction of Gross-Hacking-Keel-Kontsevich those partial com
From playlist Combinatorics and Arithmetic for Physics: Special Days 2022
Nicholas Triantafillou, Computing isolated points on modular curves
VaNTAGe seminar, on Nov 10, 2020 License: CC-BY-NC-SA.
From playlist ICERM/AGNTC workshop updates
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
Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial
VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-
From playlist Curves and abelian varieties over finite fields
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