Optimization algorithms and methods
Sequential quadratic programming (SQP) is an iterative method for constrained nonlinear optimization. SQP methods are used on mathematical problems for which the objective function and the constraints are twice continuously differentiable. SQP methods solve a sequence of optimization subproblems, each of which optimizes a quadratic model of the objective subject to a linearization of the constraints. If the problem is unconstrained, then the method reduces to Newton's method for finding a point where the gradient of the objective vanishes. If the problem has only equality constraints, then the method is equivalent to applying Newton's method to the first-order optimality conditions, or Karush–Kuhn–Tucker conditions, of the problem. (Wikipedia).
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From playlist CALCULUS
Simultaneous equations using graphs (quadratic & linear) 1
Powered by https://www.numerise.com/ Simultaneous equations using graphs (quadratic & linear) 1
From playlist Quadratic sequences & graphs
Vector form of multivariable quadratic approximation
This is the more general form of a quadratic approximation for a scalar-valued multivariable function. It is analogous to a quadratic Taylor polynomial in the single-variable world.
From playlist Multivariable calculus
Summary for solving a quadratic
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic equations. Some of the techniques includes factoring and th
From playlist Solve Quadratic Equations by Factoring
Jorge Nocedal: "Tutorial on Optimization Methods for Machine Learning, Pt. 3"
Graduate Summer School 2012: Deep Learning, Feature Learning "Tutorial on Optimization Methods for Machine Learning, Pt. 3" Jorge Nocedal, Northwestern University Institute for Pure and Applied Mathematics, UCLA July 18, 2012 For more information: https://www.ipam.ucla.edu/programs/summ
From playlist GSS2012: Deep Learning, Feature Learning
Understanding the discriminant as a part of the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
Sparse Nonlinear Dynamics Models with SINDy, Part 5: The Optimization Algorithms
This video discusses the various machine learning optimization schemes that may be used for the Sparse Identification of Nonlinear Dynamics (SINDy) algorithm. We discuss the LASSO sparse regression, sequential thresholded least squares (STLS), and the sparse relaxed regularized regression
From playlist Data-Driven Dynamical Systems with Machine Learning
Lecture 11 | Convex Optimization II (Stanford)
Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on Sequential Convex Programming. This course introduces topics such as subgradient, cutting-plane, and ellipsoid methods. Decentralized conv
From playlist Lecture Collection | Convex Optimization
Lecture 8 | MIT 6.832 Underactuated Robotics, Spring 2009
Lecture 8: Dynamic programming (DP) and policy search Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.832 Underactuated Robotics, Spring 2009
Overview of Approaches to Data Assimilation - Christopher Jones
PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod
From playlist Data Assimilation Research Program
Summary for solving a quadratic by factoring using various methods
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic equations. Some of the techniques includes factoring and th
From playlist Solve Quadratic Equations by Factoring
Summary for solving using the difference of two squares
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic equations. Some of the techniques includes factoring and th
From playlist Solve Quadratic Equations by Factoring
Statistical Rethinking 2022 Lecture 08 - Markov chain Monte Carlo
Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Music: Intro: https://www.youtube.com/watch?v=E06X1NXRdR4 Skate1 vid: https://www.youtube.com/watch?v=GCr0EO41t8g Skate1 music: https://www.youtube.com/watch?v=o3WvAhOAoCg Skate2 vid: https://www.youtube
From playlist Statistical Rethinking 2022
Summary for solving a quadratic when a is not 1
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic equations. Some of the techniques includes factoring and th
From playlist Solve Quadratic Equations by Factoring
Replication or Exploration? Sequential Design for Stochastic Simulation Experiments
The Data Science Institute (DSI) hosted a virtual seminar by Robert Gramacy from Virginia Tech on March 15, 2021. Read more about the DSI seminar series at https://data-science.llnl.gov/latest/seminar-series. We investigate the merits of replication and provide methods that search for opti
From playlist DSI Virtual Seminar Series
Lecture 17 | Convex Optimization II (Stanford)
Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on Stochastic Model Predictive Control, he then begins discussing Branch-and-bound methods. This course introduces topics such as subgradient
From playlist Lecture Collection | Convex Optimization
How do we solve quadratic equations
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic equations. Some of the techniques includes factoring and th
From playlist Solve Quadratic Equations by Factoring
10. Understanding Program Efficiency, Part 1
MIT 6.0001 Introduction to Computer Science and Programming in Python, Fall 2016 View the complete course: http://ocw.mit.edu/6-0001F16 Instructor: Prof. Eric Grimson In this lecture, Prof. Grimson introduces algorithmic complexity, a rough measure of the efficiency of a program. He then
From playlist 6.0001 Introduction to Computer Science and Programming in Python. Fall 2016
Tomas Rokicki - Large Golomb Rulers - G4G12 April 2016
Does a subquadratic Golomb Ruler exist for any number of marks? We share our exploration of this question. We have shown there are always subquadratic rulers through 492,115 marks, but the existing constructions do not find any for 492,116 marks.
From playlist G4G12 Videos
Quadratic Simultaneous Equations
"Solve simultaneous equations where one is quadratic, one is linear."
From playlist Algebra: Simultaneous Equations