In computational complexity theory, Polynomial Local Search (PLS) is a complexity class that models the difficulty of finding a locally optimal solution to an optimization problem. The main characteristics of problems that lie in PLS are that the cost of a solution can be calculated in polynomial time and the neighborhood of a solution can be searched in polynomial time. Therefore it is possible to verify whether or not a solution is a local optimum in polynomial time.Furthermore, depending on the problem and the algorithm that is used for solving the problem, it might be faster to find a local optimum instead of a global optimum. (Wikipedia).
11_2_1 The Geomtery of a Multivariable Function
Understanding the real-life 3D meaning of a multivariable function.
From playlist Advanced Calculus / Multivariable Calculus
11_4_1 The Derivative of the Composition of Functions
The composition of a multivariable function and a vector function and calculating its derivative.
From playlist Advanced Calculus / Multivariable Calculus
Depth complexity and communication games - Or Meir
Or Meir Institute for Advanced Study; Member, School of Mathematics September 30, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
1_1 Exponential Growth and Decay.flv
Separable first-order differential equations.
From playlist Advanced Calculus / Multivariable Calculus
1_2 Exponential Growth and Decay.flv
Separable first-order differential equations.
From playlist Advanced Calculus / Multivariable Calculus
Prerequisites of a smooth function.
From playlist Advanced Calculus / Multivariable Calculus
The Complexity of Gradient Descent: CLS = PPAD ∩ PLS - Alexandros Hollender
Computer Science/Discrete Mathematics Seminar I Topic: The Complexity of Gradient Descent: CLS = PPAD ∩ PLS Speaker: Alexandros Hollender Affiliation: University of Oxford Date: October 11, 2021 We consider the problem of computing a Gradient Descent solution of a continuously different
From playlist Mathematics
Homology cobordism and triangulations – Ciprian Manolescu – ICM2018
Geometry | Topology Invited Lecture 5.5 | 6.1 Homology cobordism and triangulations Ciprian Manolescu Abstract: The study of triangulations on manifolds is closely related to understanding the three-dimensional homology cobordism group. We review here what is known about this group, with
From playlist Geometry
The Computational Complexity of Geometric Topology Problems - Greg Kuperberg
Greg Kuperberg University of California, Davis September 24, 2012 This talk will be a partial survey of the first questions in the complexity theory of geometric topology problems. What is the complexity, or what are known complexity bounds, for distinguishing n-manifolds for various n? Fo
From playlist Mathematics
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
Markus Banagl : The L-Homology fundamental class for singular spaces and the stratified Novikov
Abstract : An oriented manifold possesses an L-homology fundamental class which is an integral refinement of its Hirzebruch L-class and assembles to the symmetric signature. In joint work with Gerd Laures and James McClure, we give a construction of such an L-homology fundamental class for
From playlist Topology
DEFCON 14: Oracle Rootkits 2.0
Speaker: Alexander Kornbrust, Founder & CEO, Red-Database-Security GmbH Abstract: In 2006 thousands of people will create applications based on the free Oracle 10g Express Edition. Even if this version of Oracle (based on Oracle 10g Rel. 2) is the most secure database from Oracle out of t
From playlist DEFCON 14
Karim Alexander Adiprasito - 1/6 - Lefschetz, Hodge and combinatorics...
Lefschetz, Hodge and combinatorics: an account of a fruitful cross-pollination Almost 40 years ago, Stanley noticed that some of the deep theorems of algebraic geometry have powerful combinatorial applications. Among other things, he used the hard Lefschetz theorem to rederive Dynkin's t
On Finite Types That Are Not h-Sets - Sergey Melikhov
Sergey Melikhov Steklov Mathematical Institute; Member, School of Mathematics February 14, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
June Huh Princeton University; Veblen Fellow, School of Mathematics September 30, 2014 I will outline a construction of "tropical current", a positive closed current associated to a tropical variety. I will state basic properties of tropical currents, and discuss how tropical currents are
From playlist Mathematics
1_3 Exponential Growth and Decay.flv
Separable first-order differential equations.
From playlist Advanced Calculus / Multivariable Calculus