Combinatorial optimization | Weakly NP-complete problems | Dynamic programming | NP-complete problems | Packing problems | Pseudo-polynomial time algorithms | Cryptography
The knapsack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items. The problem often arises in resource allocation where the decision-makers have to choose from a set of non-divisible projects or tasks under a fixed budget or time constraint, respectively. The knapsack problem has been studied for more than a century, with early works dating as far back as 1897. The name "knapsack problem" dates back to the early works of the mathematician Tobias Dantzig (1884–1956), and refers to the commonplace problem of packing the most valuable or useful items without overloading the luggage. (Wikipedia).
0/1 Knapsack problem | Dynamic Programming
Overview of the 0/1 Knapsack problem using dynamic programming Algorithms repository: https://github.com/williamfiset/algorithms My website: http://www.williamfiset.com
From playlist Dynamic Programming
0-1 Knapsack Problem (Dynamic Programming)
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From playlist Dynamic Programming Tutorial Series
Math for Liberal Studies - Lecture 1.9 The Knapsack Problem
This video covers material from Math for Liberal Studies Section 1.9: The Knapsack Problem. In this video, I explain what the knapsack problem is, and we work through an example using a recursive algorithm to solve the problem.
From playlist Math for Liberal Studies Lectures
Knapsack Problem Using Dynamic Programming | 0/1 Knapsack Problem | Data Structures | Simplilearn
This video on knapsack Problem Using Dynamic Programming will acquaint you with a clear understanding of the fractional or 0-1 knapsack problem statement and solution implementation. In this Data Structure Tutorial, you will understand why the difference between 0-1 knapsack and fractional
From playlist Data Structures & Algorithms
Dynamic Programming 1 [Programming Competition Problems]
Source code: http://problemvault.com/index.php#problem127 Problem source / Online judge: https://open.kattis.com/problems/knapsack This video explores a classic dynamic programming problem known as the "0/1 Knapsack Problem". We walk through how the algorithm works, then we go ahead and i
From playlist Programming Competition Problems with Micah Stairs
Turing Machines and The Halting Problem (Part 2)
The Halting Problem has fascinated thousands of computer scientists from around the world. A major part of Computing Logic, the proof of the halting problem proves that computers can't do everything. Check out the video to learn more about why computers work the way they do! For Turing Ma
From playlist Math
What is the quantum measurement problem?
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From playlist Science Unplugged: Quantum Mechanics
The World’s First Photo of Quantum Entanglement Could Disprove Einstein’s Theory
Einstein dubbed the idea of quantum entanglement as "spooky action at a distance." Now for the first time ever, scientists have taken a picture of it. » Subscribe to Seeker!http://bit.ly/subscribeseeker » Watch more Elements! http://bit.ly/ElementsPlaylist Today we understand quantum enta
From playlist Elements | Season 4 | Seeker
Quantum Mechanics 1.1: Introduction
In this video I provide some motivation behind the development of quantum mechanics, kicking off a new series on everything you've been wondering about quantum mechanics! Twitter: https://twitter.com/SciencePlease_
From playlist Quantum Mechanics
Knapsack, Bandwidth Min. Intro: Greedy Algorithms - Lecture 14
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.c
From playlist ArsDigita Algorithms by Shai Simonson
Heiko Röglin: Smoothed Analysis of Algorithms (Part 2)
The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization
From playlist HIM Lectures 2015
1. Introduction, Optimization Problems (MIT 6.0002 Intro to Computational Thinking and Data Science)
MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016 View the complete course: http://ocw.mit.edu/6-0002F16 Instructor: John Guttag Prof. Guttag provides an overview of the course and discusses how we use computational models to understand the world in which we li
From playlist MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016
Adam Polak: Knapsack and Subset Sum with Small Items
Knapsack and Subset Sum are fundamental NP-hard problems in combinatorial optimization. Recently there has been a growing interest in understanding the best possible pseudopolynomial running times for these problems with respect to various parameters. In this paper we focus on the maximum
From playlist Workshop: Parametrized complexity and discrete optimization
Lec 18 | MIT 6.00SC Introduction to Computer Science and Programming, Spring 2011
Lecture 18: Optimization Problems and Algorithms Instructor: John Guttag View the complete course: http://ocw.mit.edu/6-00SCS11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.00SC Introduction to Computer Science and Programming
Robert Weismantel: Affine TU decomposition of matrices
We study the reformulation of integer linear programs by means of a mixed integer linear program with fewer integer variables. Such reformulations can be solved efficiently with mixed integer linear programming techniques. We exhibit a variety of examples that demonstrate how integer prog
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Physicist Explains Wikipedia Page: The Schrodinger Equation
Why are Wikipedia Physics pages so difficult to understand? Hey guys, I'm back with a new video! This time, I'm looking at how certain Wikipedia pages can be so complicated to understand, and so here's a Wikipedia page made easy! Now I can totally understand that a wiki page is meant to p
From playlist Quantum Physics by Parth G