Optimization algorithms and methods
In mathematical optimization, a trust region is the subset of the region of the objective function that is approximated using a model function (often a quadratic). If an adequate model of the objective function is found within the trust region, then the region is expanded; conversely, if the approximation is poor, then the region is contracted. The fit is evaluated by comparing the ratio of expected improvement from the model approximation with the actual improvement observed in the objective function. Simple thresholding of the ratio is used as the criterion for expansion and contraction—a model function is "trusted" only in the region where it provides a reasonable approximation. Trust-region methods are in some sense dual to line-search methods: trust-region methods first choose a step size (the size of the trust region) and then a step direction, while line-search methods first choose a step direction and then a step size. The general idea behind trust region methods is known by many names; the earliest use of the term seems to be by Sorensen (1982). A popular textbook by Fletcher (1980) calls these algorithms restricted-step methods. Additionally, in an early foundational work on the method, Goldfeld, Quandt, and Trotter (1966) refer to it as quadratic hill-climbing. (Wikipedia).
International Organizations - 3.7 EU
European Union
From playlist Plaid Avenger: GEOG 1014 - Geography of World Regions | CosmoLearning Geography
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
11. Unconstrained Optimization; Newton-Raphson and Trust Region Methods
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan Students learned how to solve unconstrained optimization problems. In addition of the Newton-Raphson method, students also learned the steepe
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Optimisation - an introduction: Professor Coralia Cartis, University of Oxford
Coralia Cartis (BSc Mathematics, Babesh-Bolyai University, Romania; PhD Mathematics, University of Cambridge (2005)) has joined the Mathematical Institute at Oxford and Balliol College in 2013 as Associate Professor in Numerical Optimization. Previously, she worked as a research scientist
From playlist Data science classes
These are the Ocean's Protected Areas—and We Need More | National Geographic
The ocean faces many challenges, but has the extraordinary power to replenish when it is protected. Marine protected areas facilitate resilience and recovery for degraded areas of the ocean, and offer opportunities to rebuild stocks of commercially important species. Additionally, protec
From playlist News | National Geographic
23C3: Hacking the Electoral Law
Speaker: Ulrich Wiesner How the Ministry of the Interior turns fundamental election principals into their opposite, without even asking the parliament. Public control and transparency of elections, not trust, are well established principles to prevent electoral fraud in a democracy. Wi
From playlist 23C3: Who can you trust
DDPS | Model reduction with adaptive enrichment for large scale PDE constrained optimization
Talk Abstract Projection based model order reduction has become a mature technique for simulation of large classes of parameterized systems. However, several challenges remain for problems where the solution manifold of the parameterized system cannot be well approximated by linear subspa
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Stephen Wright: "Nonconvex optimization in matrix optimization and distributionally robust optim..."
Intersections between Control, Learning and Optimization 2020 "Nonconvex optimization in matrix optimization and distributionally robust optimization" Stephen Wright - University of Wisconsin Institute for Pure and Applied Mathematics, UCLA February 27, 2020 For more information: http:/
From playlist Intersections between Control, Learning and Optimization 2020
Katya Scheinberg: "Recent advances in Derivative-Free Optimization and its connection to reinfor..."
Machine Learning for Physics and the Physics of Learning 2019 Workshop I: From Passive to Active: Generative and Reinforcement Learning with Physics "Recent advances in Derivative-Free Optimization and its connection to reinforcement learning" Katya Scheinberg, Cornell University Abstrac
From playlist Machine Learning for Physics and the Physics of Learning 2019
Filippo Lipparini - Black-box optimization of self-consistent field wavefunction, closed/open shells
Recorded 05 May 2022. Filippo Lipparini of the Università di Pisa presents "Black-box optimization of self-consistent field wavefunction for closed and open shell molecules" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: We present the implementa
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
MIT 14.73 The Challenge of World Poverty, Spring 2011 View the complete course: http://ocw.mit.edu/14-73S11 Instructor: Esther Duflo License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 14.73 The Challenge of World Poverty, Spring 2011
Statistics: Ch 9 Hypothesis Testing (9 of 35) What is the Critical Region? (Intuitive)
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the intuitive “feeling” of what we mean by the Critical Region using an example of manufacturing screws that should hav
From playlist STATISTICS CH 9 HYPOTHESIS TESTING
DDPS | Bayesian Optimization: Exploiting Machine Learning Models, Physics, & Throughput Experiments
We report new paradigms for Bayesian Optimization (BO) that enable the exploitation of large-scale machine learning models (e.g., neural nets), physical knowledge, and high-throughput experiments. Specifically, we present a paradigm that decomposes the performance function into a reference
From playlist Data-driven Physical Simulations (DDPS) Seminar Series