Probabilistic arguments | Algorithms
Within computer science and operations research,many combinatorial optimization problems are computationally intractable to solve exactly (to optimality).Many such problems do admit fast (polynomial time) approximation algorithms—that is, algorithms that are guaranteed to return an approximately optimal solution given any input. Randomized roundingis a widely used approach for designing and analyzing such approximation algorithms. The basic idea is to use the probabilistic methodto convert an optimal solution of a relaxationof the problem into an approximately optimal solution to the original problem. (Wikipedia).
Rounding Numbers and Rounding Decimals - The Easy Way!
This math video tutorial provides a basic introduction into rounding. It explains the process of rounding numbers and rounding decimals. Here is a list of topics: 1. Rounding numbers to the nearest ten 2. Rounding numbers to the nearest hundred 3. Rounding decimals to the nearest whol
From playlist GED Math Playlist
Basic Math - Using rounding to estimate sums
Rounding is an important process, but is really shines when we are estimating sum. This is because it is often easier to do rounded numbers in our head. Check out this video for some tips on this process. For more videos please visit http://www.mysecretmathtutor.com
From playlist Basic Math
Coding Math: Mini #8 - Rounding
In this mini, we create a couple of VERY useful rounding functions that go above and beyond the built-in rounding functions you find in most languages. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath
From playlist Minis
Algebra 1 11.2f - Rounding Repeating Decimals
Rounding repeating decimal numbers. From the Algebra 1 course.
From playlist Algebra 1 Chapter 11 (Selected videos)
Examples: Rounding Whole Numbers
This video provides examples of rounding a whole number to different place values. Complete video list: http://www.mathispower4u.yolasite.com
From playlist Rounding and Estimating with Whole Numbers
Prealgebra 1.4b - Rules for Rounding
A quick review of the rules for rounding numbers, and some examples. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Estimating Multiplication and Division Problems Involving Whole Numbers
This video explains how to round whole numbers to estimate multiplication and division problems. http://mathispower4u.yolasite.com/
From playlist Whole Number Operations
Ex: Round a 3 Digit Number to Tens and Ten Thousands (tricky)
This video explains how to round using a number line and using formal rules. http://mathispower4u.com
From playlist Rounding and Estimating with Whole Numbers
Broadcast on random graphs by A Ganesh
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
A Finite Game of Infinite Rounds #SoME2
A short video about a random variable with no expected value. Made for the Summer of Maths Exposition 2. 0:00 Let's play a game 2:33 A better-behaved example 4:49 Working through the maths 7:08 Does the game always finish? 9:34 Discussion, and another example 11:04 A challenge problem So
From playlist Summer of Math Exposition 2 videos
Search games and Optimal Kakeya Sets - Yuval Peres
Yuval Peres Microsoft Research April 28, 2014 A planar set that contains a unit segment in every direction is called a Kakeya set. These sets have been studied intensively in geometric measure theory and harmonic analysis since the work of Besicovich (1919); we find a new connection to gam
From playlist Mathematics
Compressing Bounded-Round Communication - Mark Braverman
Mark Braverman Microsoft Research New England April 6, 2010 In this talk we will present a near-optimal compression scheme for bounded-round randomized 2-party communication protocols. Previously, such a scheme was only known for protocols where the inputs to the parties are independent. T
From playlist Mathematics
Viswanath Nagarajan: Approximation Friendly Discrepancy Rounding
We consider the general problem of rounding a fractional vector to an integral vector while (approximately) satisfying a number of linear constraints. Randomized rounding and discrepancy-based rounding are two of the strongest rounding methods known. However these algorithms are very diffe
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Roie Levin: Random Order Set Cover is as Easy as Offline
We give a polynomial time algorithm for Online Set Cover with a competitive ratio of O(log mn) when the elements are revealed in random order, essentially matching the best possible offline bound of O(log n) and circumventing the O(log mlog n) lower bound known in adversarial order. We als
From playlist Workshop: Continuous approaches to discrete optimization
Finding Cliques with Few Probes by Prasad Tetali
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Nexus Trimester - Boaz Patt-Shamir (Tel Aviv University)
Randomized proof-labeling schemes Boaz Patt-Shamir (Tel Aviv University) February 12, 2016
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
"Estimate the result of a calculation by first rounding each number."
From playlist Number: Rounding & Estimation
Heiko Röglin: Smoothed Analysis of Algorithms (Part 3)
The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization
From playlist HIM Lectures 2015
From playlist Pre-Algebra/Introductory Algebra