Combinatorial optimization | Job scheduling | Bin packing | Number partitioning | Linear programming
The configuration linear program (configuration-LP) is a particular linear programming used for solving combinatorial optimization problems. It was introduced in the context of the cutting stock problem. Later, it has been applied to bin packing and job scheduling. In the configuration-LP, there is a variable for each possible configuration - each possible multiset of items that can fit in a single bin (these configurations are also known as patterns) . Usually, the number of configurations is exponential in the problem size, but in some cases it is possible to attain approximate solutions using only a polynomial number of configurations. (Wikipedia).
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
Powered by https://www.numerise.com/ Formulating a linear programming problem
From playlist Linear Programming - Decision Maths 1
Linear Algebra for Computer Scientists. 7. Linear Combinations of Vectors
This computer science video is one of a series on linear algebra for computer scientists. In this video you will learn about linear combinations of vectors, that is, you will learn how to create new vectors by scaling then adding other vectors together. You will also learn that some sets
From playlist Linear Algebra for Computer Scientists
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Review of Linear Time Invariant Systems
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Review: systems, linear systems, time invariant systems, impulse response and convolution, linear constant-coefficient difference equations
From playlist Introduction and Background
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
What in the world is a linear program?
What is a linear program and why do we care? Today I’m going to introduce you to the exciting world of optimization, which is the mathematical field of maximizing or minimizing an objective function subject to constraints. The most fundamental topic in optimization is linear programming,
From playlist Summer of Math Exposition 2 videos
An Introduction to Binary Code Bounds - Fernando Granha Jeronimo
A binary code is simply any subset of 0/1 strings of a fixed length. Given two strings, a standard way of defining their distance is by counting the number of positions in which they disagree. Roughly speaking, if elements of a code are sufficiently far apart, then the code is resilient to
From playlist Mathematics
Association schemes and codes II: Completeness of the hierarchy of high-order...-Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Association schemes and codes II: Completeness of the hierarchy of high-order Hamming schemes Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: May 17, 2022 One of the central problems of coding theory is
From playlist Mathematics
Gero Friesecke - Fast algorithm for the strong-interaction limit of density functional theory
Recorded 29 March 2022. Gero Friesecke of Technische Universität München presents "Fast algorithm for the strong-interaction limit of density functional theory" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: While not reached in nature, the strong-interaction limi
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Inverse problem by Abhinav Kumar
DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Maryna Viazovska - 5/6 Automorphic Forms and Optimization in Euclidean Space
Hadamard Lectures 2019 The goal of this lecture course, “Automorphic Forms and Optimization in Euclidean Space”, is to prove the universal optimality of the E8 and Leech lattices. This theorem is the main result of a recent preprint “Universal Optimality of the E8 and Leech Lattices and I
From playlist Hadamard Lectures 2019 - Maryna Viazovska - Automorphic Forms and Optimization in Euclidean Space
Nexus Trimester - Paul Beame (University of Washington) - 1
Branching Programs 1/3 Paul Beame (University of Washington) February 26,2016 Abstract: Branching programs are clean and simple non-uniform models of computation that capture both time and space simultaneously. We present the best methods known for obtaining lower bounds on the size of (l
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Lecture 12: Tensegrities & Carpenter's Rules
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture covers infinitesimal rigidity and motion, and tensegrity systems as an extension of rigidity theory. The rigidity mat
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Ellen Vitercik: "How much data is sufficient to learn high-performing algorithms?"
Deep Learning and Combinatorial Optimization 2021 "How much data is sufficient to learn high-performing algorithms?" Ellen Vitercik - Carnegie Mellon University Abstract: Algorithms often have tunable parameters that have a considerable impact on their runtime and solution quality. A gro
From playlist Deep Learning and Combinatorial Optimization 2021
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture I
Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, I’ll demonstrate how these
From playlist Summer School on modern directions in discrete optimization