Gradient methods | Numerical linear algebra
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-definite. The conjugate gradient method is often implemented as an iterative algorithm, applicable to sparse systems that are too large to be handled by a direct implementation or other direct methods such as the Cholesky decomposition. Large sparse systems often arise when numerically solving partial differential equations or optimization problems. The conjugate gradient method can also be used to solve unconstrained optimization problems such as energy minimization. It is commonly attributed to Magnus Hestenes and Eduard Stiefel, who programmed it on the Z4, and extensively researched it. The biconjugate gradient method provides a generalization to non-symmetric matrices. Various nonlinear conjugate gradient methods seek minima of nonlinear optimization problems. (Wikipedia).
11_6_3 Contours and Tangents to Contrours Part 3
Using the gradient as a perpendicular vector to the tangent of a contour of a function's graph to calculate an equation for a tangent (hyper)plane to the function.
From playlist Advanced Calculus / Multivariable Calculus
Find the Gradient Vector Field of f(x,y)=x^3y^5
This video explains how to find the gradient of a function. It also explains what the gradient tells us about the function. The gradient is also shown graphically. http://mathispower4u.com
From playlist The Chain Rule and Directional Derivatives, and the Gradient of Functions of Two Variables
Introduction to the Gradient Theory and Formulas
Introduction to the Gradient Theory and Formulas If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Calculus 3
Find the Gradient Vector Field of f(x,y)=ln(2x+5y)
This video explains how to find the gradient of a function. It also explains what the gradient tells us about the function. The gradient is also shown graphically. http://mathispower4u.com
From playlist The Chain Rule and Directional Derivatives, and the Gradient of Functions of Two Variables
Ex: Find the Gradient of the Function f(x,y)=xy
This video explains how to find the gradient of a function of two variables. The meaning of the gradient is explained and shown graphically. Site: http://mathispower4u.com
From playlist The Chain Rule and Directional Derivatives, and the Gradient of Functions of Two Variables
11_3_1 The Gradient of a Multivariable Function
Using the partial derivatives of a multivariable function to construct its gradient vector.
From playlist Advanced Calculus / Multivariable Calculus
Download the free PDF http://tinyurl.com/EngMathYT A basic tutorial on the gradient field of a function. We show how to compute the gradient; its geometric significance; and how it is used when computing the directional derivative. The gradient is a basic property of vector calculus. NOT
From playlist Engineering Mathematics
Gradient of a scalar field | Lecture 17 | Vector Calculus for Engineers
Definition of the gradient and the del differential operator. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?su
From playlist Vector Calculus for Engineers
Jorge Nocedal: "Tutorial on Optimization Methods for Machine Learning, Pt. 1"
Graduate Summer School 2012: Deep Learning, Feature Learning "Tutorial on Optimization Methods for Machine Learning, Pt. 1" Jorge Nocedal, Northwestern University Institute for Pure and Applied Mathematics, UCLA July 19, 2012 For more information: https://www.ipam.ucla.edu/programs/summ
From playlist GSS2012: Deep Learning, Feature Learning
Jorge Nocedal: "Tutorial on Optimization Methods for Machine Learning, Pt. 2"
Graduate Summer School 2012: Deep Learning, Feature Learning "Tutorial on Optimization Methods for Machine Learning, Pt. 2" Jorge Nocedal, Northwestern University Institute for Pure and Applied Mathematics, UCLA July 19, 2012 For more information: https://www.ipam.ucla.edu/programs/summ
From playlist GSS2012: Deep Learning, Feature Learning
Lecture 8.1 — A brief overview of Hessian-free optimization [Neural Networks for Machine Learning]
Lecture from the course Neural Networks for Machine Learning, as taught by Geoffrey Hinton (University of Toronto) on Coursera in 2012. Link to the course (login required): https://class.coursera.org/neuralnets-2012-001
From playlist [Coursera] Neural Networks for Machine Learning — Geoffrey Hinton
Lecture 8A : A brief overview of "Hessian Free" optimization
Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] Lecture 8A : A brief overview of "Hessian Free" optimization
From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]
Optimization with inexact gradient and function by Serge Gratton
DISCUSSION MEETING : STATISTICAL PHYSICS OF MACHINE LEARNING ORGANIZERS : Chandan Dasgupta, Abhishek Dhar and Satya Majumdar DATE : 06 January 2020 to 10 January 2020 VENUE : Madhava Lecture Hall, ICTS Bangalore Machine learning techniques, especially “deep learning” using multilayer n
From playlist Statistical Physics of Machine Learning 2020
Lec 19 | MIT 18.086 Mathematical Methods for Engineers II
Conjugate Gradient Method View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
From playlist CS294-112 Deep Reinforcement Learning Sp17
Data assimilation and machine learning by Serge Gratton
DISCUSSION MEETING : STATISTICAL PHYSICS OF MACHINE LEARNING ORGANIZERS : Chandan Dasgupta, Abhishek Dhar and Satya Majumdar DATE : 06 January 2020 to 10 January 2020 VENUE : Madhava Lecture Hall, ICTS Bangalore Machine learning techniques, especially “deep learning” using multilayer n
From playlist Statistical Physics of Machine Learning 2020
Lecture 8/16 : More recurrent neural networks
Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] 8A A brief overview of "Hessian-Free" optimization 8B Modeling character strings with multiplicative connections 8C Learning to predict the next character using HF 8D Echo state networks
From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]
This video explains what information the gradient provides about a given function. http://mathispower4u.wordpress.com/
From playlist Functions of Several Variables - Calculus