In the theory of optimal binary search trees, the interleave lower bound is a lower bound on the number of operations required by a Binary Search Tree (BST) to execute a given sequence of accesses. Several variants of this lower bound have been proven. This article is based on a variation of the first Wilber's bound. This lower bound is used in the design and analysis of Tango tree. Furthermore, this lower bound can be rephrased and proven geometrically, Geometry of binary search trees. (Wikipedia).
Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool
Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool In this video we are going to look at how to calculate with upper and lower bounds. To find the upper bound of an addition or of an area, you would want to multiply the upper bounds of both measurements, as this would g
From playlist MATHS: Numbers
Upper and Lower Bound In this video, I define what it means for a set to be bounded above and bounded below. This will be useful in our definition of inf and sup. Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
Statistics - Compute the interquartile range
This video shows how to compute the interquartile range for a set of data. Remember to reorganize the data so that you can find the median values easier. For more videos visit http://mysecretmathtutor.com
From playlist Statistics
Lower Bound on Complexity - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Math 101 091517 Introduction to Analysis 07 Consequences of Completeness
Least upper bound axiom implies a "greatest lower bound 'axiom'": that any set bounded below has a greatest lower bound. Archimedean Property of R.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Upper & Lower Bounds | Number | Maths | FuseSchool
Upper & Lower Bounds | Number | Maths | FuseSchool In this video we discover what bounds. All measurements are approximate. Measurements are given to the nearest practical unit, like a cm or mm or gram. There is then a group of numbers that the original measurement is somewhere between. T
From playlist MATHS: Numbers
Statistics - How to find outliers
This video covers how to find outliers in your data. Remember that an outlier is an extremely high, or extremely low value. We determine extreme by being 1.5 times the interquartile range above Q3 or below Q1. For more videos visit http://www.mysecretmathtutor.com
From playlist Statistics
GCSE Upper and Lower Bounds Introduction Measures of Accuracy
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist GCSE Upper and Lower Bounds
In this video, we discuss limits in ∞-categories. This is the second video in our introduction to ∞-categories and Higher Algebra. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further informa
From playlist Higher Algebra
Rachel Levanger (3/13/18): A comparison framework for interleaved persistence modules
In this talk, we'll take a look at a recent result in the theory of persistent homology that can be used to rigorously track noise introduced during the computation of a barcode or a persistence diagram. We'll then illustrate the use of this framework by looking closely at a number of exam
From playlist AATRN 2018
Michael Lesnick (5/3/21): l_p-Metrics on Multiparameter Persistence Modules
Motivated both by theoretical and practical considerations in topological data analysis, we generalize the p-Wasserstein distance on barcodes to multi-parameter persistence modules. For each p ? [1,?], we in fact introduce two such generalizations d_I^p and d_M^p, such that d_I^? equals th
From playlist TDA: Tutte Institute & Western University - 2021
Primoz Skraba (2/28/18): An approximate nerve theorem
The Nerve Theorem is an implicit tool in most applications of topological data analysis relating the topological type of a suitably nice space with a combinatorial description of the space, namely, the nerve of a cover of that space. It is required that it is a good cover, that each elemen
From playlist AATRN 2018
Primoz Skraba (6/10/20): Algebraically manipulating persistence modules (and a Minkowski-type bound)
Title: Algebraically manipulating persistence modules (and a Minkowski-type bound) Abstract: This talk will be mostly expository. I will go over different ways of thinking and manipulating persistence modules - examples include images, kernels, cokernels, etc. and the persistence that ari
From playlist AATRN 2020
Nexus Trimester - Kasper Green Larsen (Aarhus University) - 2
Data Structure Lower Bounds 2/3 Kasper Green Larsen (Aarhus University) february 22, 2016 Abstract: In this mini-course, we survey the various techniques developed for proving data structure lower bounds. On the dynamic data structures side, we cover the Chronogram Technique of Fredman an
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Ulrich Bauer (3/19/19): Persistence diagrams as diagrams
Title: Persistence Diagrams as Diagrams Abstract: We explore the perspective of viewing persistence diagrams, or persistence barcodes, as diagrams in the categorical sense. Specifically, we consider functors indexed over the reals and taking values in the category of matchings, which has
From playlist AATRN 2019
MIT 6.004 Computation Structures, Spring 2017 Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 7.2.4 Circuit Interleaving License: Creative Commons BY-NC-SA More info
From playlist MIT 6.004 Computation Structures, Spring 2017
Ling Zhou (5/10/22): Persistent homotopy groups of metric spaces
By capturing both geometric and topological features of datasets, persistent homology has shown its promise in applications. Motivated by the fact that homotopy in general contains more information than homology, we study notions of persistent homotopy groups of compact metric spaces, toge
From playlist Bridging Applied and Quantitative Topology 2022
Ling Zhou (8/30/21): Other Persistence Invariants: homotopy and the cohomology ring
In this work, we study both the notions of persistent homotopy groups and persistent cohomology rings. In the case of persistent homotopy, we pay particular attention to persistent fundamental groups for which we obtain a precise description via dendrograms, as a generalization of a simila
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Degrees of Hardness - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms