Asymptotic analysis | Perturbation theory
The saddlepoint approximation method, initially proposed by Daniels (1954) is a specific example of the mathematical saddlepoint technique applied to statistics. It provides a highly accurate approximation formula for any PDF or probability mass function of a distribution, based on the moment generating function. There is also a formula for the CDF of the distribution, proposed by Lugannani and Rice (1980). (Wikipedia).
6. The Scaling Hypothesis Part 1
MIT 8.334 Statistical Mechanics II: Statistical Physics of Fields, Spring 2014 View the complete course: http://ocw.mit.edu/8-334S14 Instructor: Mehran Kardar In this lecture, Prof. Kardar introduces the Scaling Hypothesis, including the Homogeneity Assumption, Divergence of the Correlati
From playlist MIT 8.334 Statistical Mechanics II, Spring 2014
Adrian Baddeley: The Poisson-saddlepoint approximation
Gibbs spatial point processes are important models in theoretical physics and in spatial statistics. After a brief survey of Gibbs point processes, we will present a method for approximating their most important characteristic, the intensity of the process. The method has some affinity wit
From playlist Probability and Statistics
3. The Landau-Ginzburg Approach Part 2
MIT 8.334 Statistical Mechanics II: Statistical Physics of Fields, Spring 2014 View the complete course: http://ocw.mit.edu/8-334S14 Instructor: Mehran Kardar In this lecture, Prof. Kardar continues his discussion of The Landau-Ginzburg Approach, including Spontaneous Symmetry Breaking an
From playlist MIT 8.334 Statistical Mechanics II, Spring 2014
Calculus 3.05c - Linear Approximation
Using a tangent line and a linear approximation to find an approximate value of a function at a given point.
From playlist Calculus Ch 3 - Derivatives
Lec 22 | MIT 18.086 Mathematical Methods for Engineers II
Weighted Least Squares 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
Central Difference Approximation | Lecture 61 | Numerical Methods for Engineers
How to approximate the first and second derivatives by a central difference formula. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.yo
From playlist Numerical Methods for Engineers
The Saddle Point Accountant for Differential Privacy
A Google TechTalk, presented by Shahab Asoodeh, 2022/10/19 Differential Privacy for ML seminar series.
From playlist Differential Privacy for ML
Midpoint riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Phase portrait of a saddle point | Lecture 44 | Differential Equations for Engineers
How to draw a phase portrait of a saddle point arising from a system of linear differential equations. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe
From playlist Differential Equations for Engineers
Polynomial approximations -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Unit II: Lec 7 | MIT Calculus Revisited: Single Variable Calculus
Unit II: Lecture 7: Curve Plotting Instructor: Herb Gross View the complete course: http://ocw.mit.edu/RES18-006F10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Single Variable Calculus
Linear Approximations and Differentials
Linear Approximation In this video, I explain the concept of a linear approximation, which is just a way of approximating a function of several variables by its tangent planes, and I illustrate this by approximating complicated numbers f without using a calculator. Enjoy! Subscribe to my
From playlist Partial Derivatives
Find a Derivative Using The Limit Definition(Quadratic)
This video explains how to find the derivative of a quadratic function using the limit definition. Then the slope and equation of a tangent line is found.
From playlist Introduction and Formal Definition of the Derivative
13. Non-Euclidean Spaces: Spacetime Metric and Geodesic Equation
MIT 8.286 The Early Universe, Fall 2013 View the complete course: http://ocw.mit.edu/8-286F13 Instructor: Alan Guth In this lecture, the professor reviewed open universe metric; discussed the differences between open universe and closed universe; and talked about spacetime metric. Licens
From playlist The Early Universe by Prof. Alan Guth
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Determine Relative Extrema of a Function of Two Variables: Basic #2
This video provides and example of how to determine critical points and determine if each point is a rel max, rel min, or saddle point.
From playlist Relative Extrema and Applications to Functions of Two Variables
Minimax Approximation and the Exchange Algorithm
In this video we'll discuss minimax approximation. This is a method of approximating functions by minimisation of the infinity (uniform) norm. The exchange algorithm is an iterative method of finding the approximation which minimises the infinity norm. FAQ : How do you make these animatio
From playlist Approximation Theory
Ch1Pr7: Total Differential Approximation
Approximate a differentiable function using the Total Differential Approximation! This is Chapter 1 Problem 7 from the MATH1231/1241 Calculus notes. Presented by Norman Wildberger from the UNSW School of Mathematics and Statisitcs.
From playlist Mathematics 1B (Calculus)
Mod-01 Lec-01 Introduction and Overview
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org