In machine learning, the delta rule is a gradient descent learning rule for updating the weights of the inputs to artificial neurons in a single-layer neural network. It is a special case of the more general backpropagation algorithm. For a neuron with activation function , the delta rule for neuron 's th weight is given by , where It holds that and . The delta rule is commonly stated in simplified form for a neuron with a linear activation function as While the delta rule is similar to the perceptron's update rule, the derivation is different. The perceptron uses the Heaviside step function as the activation function , and that means that does not exist at zero, and is equal to zero elsewhere, which makes the direct application of the delta rule impossible. (Wikipedia).
Ex 1: Limit Definition - Determine Delta for an Arbitrary Epsilon (Linear)
This video explains how to determine an expression of delta for an arbitrary epsilon that can be used to prove a limit exists. http://mathispower4u.com
From playlist Limits
Ex 2: Limit Definition - Determine Delta for an Arbitrary Epsilon (Quadratic)
This video explains how to determine an expression of delta for an arbitrary epsilon that can be used to prove a limit exists. http://mathispower4u.com
From playlist Limits
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
Ex: Limit Definition - Find Delta Values, Given Epsilon For a Limit
This video explains how to determine which delta values satisfy a given epsilon of a limit. http://mathispower4u.com
From playlist Limits
Calculus 3.03f - Derivative Example 6
Another of example of finding a derivative using the definition of the derivative.
From playlist Calculus Ch 3 - Derivatives
Limits 1b - Delta-Epsilon Formulation
Calculus: We present the delta-epsilon definition of a limit, explain the various parts pictorially, and show how to choose delta when presented with a given epsilon. We show that delta = .1 works for f(x) = x^2 at x_0 =2 when epsilon = 1/2.
From playlist Calculus Pt 1: Limits and Derivatives
Introduction to the Dirac Delta Function
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to the Dirac Delta Function
From playlist Differential Equations
calc 1 final be like (derivative of x^2)
Calculus 1 final exam be like In college for a simple derivative problem! We will find the derivative of x^2 by using the power rule, then find the derivative of x^2 by using the definition of derivative and use epsilon-delta limit definition to prove our results! Subscribe for more math
From playlist Epsilon-Delta definition of limits
Lec 4 | MIT 18.01 Single Variable Calculus, Fall 2007
Chain rule Higher derivatives View the complete course at: http://ocw.mit.edu/18-01F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.01 Single Variable Calculus, Fall 2006
Numerical Integration: Discrete Riemann Integrals and Trapezoid Rule
In this video, I show how to approximate definite integrals to find the area under a curve using discrete numerical methods. In particular, I discuss approximations to the Riemann integral, including left and right rectangle rules, trapezoidal integration, and Simpson's rule based on spli
From playlist Engineering Math: Differential Equations and Dynamical Systems
Worldwide Calculus: Numerical Techniques for Approximating Integrals
Lecture on 'Numerical Techniques for Approximating Integrals' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Continuous Sums: the Definite Integral
Product Rule and Quotient Rule
Product Rule and Quotient Rule Instructor: Gilbert Strang http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist Highlights of Calculus
Lecture: Higher-order Integration Schemes
Higher-order numerical integration schemes are considered along the classic schemes of trapezoidal rule and Simpson’s rule.
From playlist Beginning Scientific Computing
Calculus Review: The Derivative (and the Power Law and Chain Rule)
This video provides a quick review of the derivative from Calculus. We also review the power law and chain rule. This material is a pre-requisite for this course on Differential Equations & Dynamical Systems. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgUL
From playlist Engineering Math: Differential Equations and Dynamical Systems
5 5 Ito s Rule, Ito s Lemma Part 1
BEM1105x Course Playlist - https://www.youtube.com/playlist?list=PL8_xPU5epJdfCxbRzxuchTfgOH1I2Ibht Produced in association with Caltech Academic Media Technologies. ©2020 California Institute of Technology
From playlist BEM1105x Course - Prof. Jakša Cvitanić
ultimate introduction to the epsilon-delta definition of a limit
My most detailed introduction to the epsilon-delta definition of limits in calculus! The epsilon-delta definition of a limit is commonly considered the hardest topic in calculus 1 (it's also the important part at the beginning of real analysis). The best way to understand this precise defi
From playlist Epsilon-Delta definition of limits
Computation Ep23, Stack Machines Formally (Mar 25, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Epsilon delta limit (Example 2)
In this video, I calculate the limit as x goes to 3 of x^2, using the epsilon-delta definition of a limit.
From playlist Calculus
Calculus 3.07i - The Quotient Rule
The Quotient Rule for Derivatives.
From playlist Calculus Ch 3 - Derivatives