In computer science, k-approximation of k-hitting set is an approximation algorithm for weighted hitting set. The input is a collection S of subsets of some universe T and a mapping W from T to non-negative numbers called the weights of the elements of T. In k-hitting set the size of the sets in S cannot be larger than k. That is, . The problem is now to pick some subset T' of T such that every set in S contains some element of T', and such that the total weight of all elements in T' is as small as possible. (Wikipedia).
From playlist k-Nearest Neighbor Algorithm
(ML 1.6) k-Nearest Neighbor classification algorithm
Description of kNN. A playlist of these Machine Learning videos is available here: http://www.youtube.com/my_playlists?p=D0F06AA0D2E8FFBA
From playlist Machine Learning
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
Nearest neighbor (2): k-nearest neighbor
Basic k-nearest neighbor algorithm for classification and regression
From playlist cs273a
Peter Sarnak: Integral points on Markoff type cubic surfaces [2016]
Integral points on Markoff type cubic surfaces Speaker: Peter Sarnak, Institute for Advanced Study, Princeton Date and Time: Tuesday, November 1, 2016 - 11:30am to 12:30pm Location: Fields Institute, Room 230 Abstract: Cubic surfaces in affine three space tend to have few integral poin
From playlist Mathematics
k nearest neighbor (kNN): how it works
[http://bit.ly/k-NN] The k-nearest neighbor (k-NN) algorithm is based on the intuition that similar instances should have similar class labels (in classification) or similar target values (regression). The algorithm is very simple, but is capable of learning highly-complex non-linear decis
From playlist Nearest Neighbour Methods
Nearly Optimal Deterministic Algorithms Via M-Ellipsoids - Santosh Vempala
Santosh Vempala Georgia Institute of Technology January 30, 2011 Milman's ellipsoids play an important role in modern convex geometry. Here we show that their proofs of existence can be turned into efficient algorithms, and these in turn lead to improved deterministic algorithms for volume
From playlist Mathematics
Geometry of best Approximations by Uri Shapira
DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS: Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VE
From playlist Ergodic Theory and Dynamical Systems 2022
Fraunhofer Diffraction Explained
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video
From playlist Fourier Optics
Rico Zenklusen, Vera Traub: Bridging the Gap Between Tree and Connectivity Augmentation
Full title: Bridging the Gap Between Tree and Connectivity Augmentation: Unified and Stronger Approaches The Connectivity Augmentation Problem (CAP) is one of the most basic survivable network design problems. The task is to increase the edge-connectivity of a graph G by one unit by adding
From playlist Workshop: Continuous approaches to discrete optimization
Christina Goldschmidt: Scaling limits of random trees and graphs - Lecture 2
HYBRID EVENT In the last 30 years, random combinatorial structures and their scaling limits have formed a flourishing area of research at the interface between probability and combinatorics. In this mini-course, I aim to show some of the beautiful theory that arises when considering scalin
From playlist Probability and Statistics
Short proofs are hard to find (joint work w/ Toni Pitassi and Hao Wei) - Ian Mertz
Computer Science/Discrete Mathematics Seminar II Topic: Short proofs are hard to find (joint work w/ Toni Pitassi and Hao Wei) Speaker: Ian Mertz Affiliation: University of Toronto Date: December 5, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Peter Sarnak: Integral points on Markoff type cubic surfaces and dynamics
Abstract: Cubic surfaces in affine three space tend to have few integral points .However certain cubics such as x3+y3+z3=m, may have many such points but very little is known. We discuss these questions for Markoff type surfaces: x2+y2+z2−x⋅y⋅z=m for which a (nonlinear) descent allows for
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
L22.3 Diagrammatic representation of the Born series. Scattering amplitude for spherically symm...
MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L22.3 Diagrammatic representation of the Born series. Scattering amplitud
From playlist MIT 8.06 Quantum Physics III, Spring 2018
Power Set of the Math Set {m, a, t, h} | Set Theory
We find the power set of the set {m, a, t, h}, going over strategies and the general method to use for finding power sets. #SetTheory Recall the power set of a set S, P(S), is the set of all subsets of S. Thus, the cardinality of the power set of S is the number of subsets of S, which is
From playlist Set Theory
Accuracy of Taylor approximations - Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II