The solution of the Kadison-Singer problem - Daniel Spielman
Daniel Spielman Yale University November 5, 2014 We will explain our recent solution of the Kadison-Singer Problem and the equivalent Bourgain-Tzafriri and Paving Conjectures. We will begin by introducing the method of interlacing families of polynomials and use of barrier function argume
From playlist Mathematics
Special Topics - The Kalman Filter (30 of 55) 4. Calculate the Kalman Gain - Tracking Airplane
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the Kalman Gain matrix of the Kalman Filter of tracking an airplane. Next video in this series can be seen at: https://youtu.be/_9qhtXqaT8c
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
Daniel Spielman - The solution of the Kadison-Singer Problem
March 23, 2016 - This talk was part of the Minerva Lecture Series In 1959, Kadison and Singer posed a problem in operator theory that has reappeared in many guises, including the Paving Conjecture, the Bourgain-Tzafriri Conjecture, the Feichtinger Conjecture, and Weaver's Conjecture. I wil
From playlist Minerva Lectures - Daniel Spielman
Law Of Cosines I (visual proof)
This is a short, animated visual proof of the Law of Cosines using Thales triangle theorem and the intersecting chord theorem. This theorem relates the side of a triangle with the other two sides and the angle between those two sides. #mathshorts #mathvideo #math #trigonometry #lawofcosine
From playlist Trigonometry
Séminaire Bourbaki - 21/06/2014 - 1/4 - Alain Valette
Le problème de Kadison-Singer En 1959, R.V. Kadison et I.M. Singer demandaient si tout état pur de l'algèbre des matrices diagonales sur ℓ2 , s'étend en un unique état pur sur B(ℓ2 ). La solution affir mative a été obtenue en juin 2013 par A. Marcus, S. Spielman et N. Srivastava, suite à d
From playlist Bourbaki - 21 juin 2014
Special Topics - The Kalman Filter (36 of 55) 4. Kalman Gain Second Iteration - Tracking Airplane
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the 2nd iteration of the of the Kalman Gain. Next video in this series can be seen at: https://youtu.be/phv7BEF4PqY
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
Special Topics - The Kalman Filter (25 of 55) Explaining the State Covariance Matrix
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what it means when the non-diagonal values of the state covariance matrix equal 0. Next video in this series can be seen at: https://youtu.be/Fuy73n6_bBc
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
STPM - Sparce Approximation of PSD Matrices - Nikhil Srivastava
Nikhil Srivastava Institute for Advanced Study September 30, 2010 I will discuss the problem of approximating a given positive semidefinite matrix A , written as a sum of outer products vvTvvT , by a much shorter weighted sum in the same outer products. I will then mention an application
From playlist Mathematics
Optimal State Estimator | Understanding Kalman Filters, Part 3
Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Watch this video for an explanation of how Kalman filters work. Kalman filters combine
From playlist Understanding Kalman Filters
Sorin Popa: Approximating freeness under constraints, with applications
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Analysis and its Applications
Why Use Kalman Filters? | Understanding Kalman Filters, Part 1
Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Discover common uses of Kalman filters by walking through some examples. A Kalman filte
From playlist Understanding Kalman Filters
Special Topics - The Kalman Filter (35 of 55) 1, 2, 3 of Second Iteration - Tracking Airplane
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the 2nd iteration of the predict matrix from the now previous state and precess covariance matrices. Next video in this series can be seen at: https://youtu.be/k8MEVLAquWk
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
A solution to Weaver's KS2KS2 - Adam Marcus
A solution to Weaver's KS2KS2Primary tabs Adam Marcus Yale University December 2, 2013 We will outline the proof that gives a positive solution of to Weaver's conjecture KS2KS2. That is, we will show that any isotropic collection of vectors whose outer products sum to twice the identity ca
From playlist Mathematics
Twice-Ramanujan Sparsifiers - Nikhil Srivastava
Nikhil Srivastava Yake University September 21, 2009 We prove that every graph has a spectral sparsifier with a number of edges linear in its number of vertices. As linear-sized spectral sparsifiers of complete graphs are expanders, our sparsifiers of arbitrary graphs can be viewed as gen
From playlist Mathematics
Special Topics - The Kalman Filter (22 of 55) Finding the Covariance Matrix, Numerical Ex. 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the numerical values of the covariance (non-diagonal) elements of a 3x3 covariance matrix. Next video in this series can be seen at: https://youtu.be/9B5vEVjH2Pk
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
Keith Ball: Restricted Invertibility
Keith Ball (University of Warwick) Restricted Invertibility I will briefly discuss the Kadison-Singer problem and then explain a beautiful argument of Bourgain and Tzafriri that I included in an article commissioned in memory of Jean Bourgain.
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Special Topics - The Kalman Filter (29 of 55) 3. Predicted Process Covariance - Tracking Airplane
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the predicted process covariance matrix of the Kalman Filter of tracking an airplane. Next video in this series can be seen at: https://youtu.be/8eqopG4q9Ew
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER
Nicolás Matte Bon: Confined subgroups and high transitivity
A subgroup of a group is confined if the closure of its conjugacy class in the Chabauty space does not contain the trivial subgroup. Such subgroups arise naturally as stabilisers for non-free actions on compact spaces. I will explain a result establishing a relation between the confined su
From playlist Dynamical Systems and Ordinary Differential Equations
Colouring Tournaments - Paul Seymour
Paul Seymour Princeton University December 13, 2010 A ``tournament'' is a digraph obtained from a complete graph by directing its edges, and ``colouring'' a tournament means partitioning its vertex set into acyclic subsets (``acyclic'' means the subdigraph induced on the subset has no dire
From playlist Mathematics
Special Topics - The Kalman Filter (8 of 55) The Multi-Dimension Model 2-The State Matrix
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the overview of the Kalman filter on a multi dimension model. Next video in this series can be seen at: https://youtu.be/47YXnTId88c
From playlist SPECIAL TOPICS 1 - THE KALMAN FILTER