Roguelike video games | Video games using procedural generation
The Persistence is a survival horror video game developed and published by Firesprite. Originally released for the virtual reality headset PlayStation VR in July 2018, the game was released for PC, Nintendo Switch, Xbox One in May 2020. An Enhanced version of the game was released for PC, PlayStation 5 and Xbox Series X and Series S in June 2021. (Wikipedia).
Jeffrey Giansiracusa (10/30/1): Multiparameter persistence vs parametrized persistence
One of the key properties of 1-parameter persistent homology is that its output can entirely encoded in a purely combinatorial way via persistence diagrams or barcodes. However, many applications of topological data analysis naturally present themselves with more than 1 parameter. Multipa
From playlist AATRN 2018
Massimo Ferri (8/30/21): Selection of points in persistence diagrams
The need for point selection in a persistence diagram is shown. We recall V. Kurlin's selection criterion, intended for producing a hierarchy of segmentations out of a point cloud: diagonal gaps. We also show some applications of it on generalised persistence functions. Then we introduce t
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Definition of Continuity in Calculus Explanation and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of Continuity in Calculus Explanation and Examples. - Definition of continuity at a point. - Explanation of the definition. - Examples of functions where the definition fails.
From playlist Calculus 1 Exam 1 Playlist
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
Math 131 Fall 2018 100818 Limits and Continuity in Metric Spaces
Limits of functions (in the setting of metric spaces). Definition. Rephrasal of definition. Uniqueness of limit. Definition of continuity at a point. Remark on continuity at an isolated point. Relation with limits. Composition of continuous functions is continuous. Alternate (topol
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Determine Where the Function is Not Continuous
In this video I will show you how to Determine Where the Function is Not Continuous.
From playlist Continuity Problems
Math 101 Introduction to Analysis 110415: Continuity (two versions)
Continuity: definition of (actually sequential continuity); examples; standard definition involving neighborhoods; examples.
From playlist Course 6: Introduction to Analysis
Lori Ziegelmeier (9/20/17): Persistence images
Many data sets can be viewed as a noisy sampling of an underlying space, and tools from topological data analysis can characterize this structure for the purpose of knowledge discovery. One such tool is persistent homology, which provides a multiscale description of the homological feature
From playlist AATRN 2017
Rocío González Díaz (3/16/22): Persistent entropy, a tool for topologically summarizing data.
Title: Introducing persistent entropy, a tool for topologically summarizing data. Properties and applications. Abstract: In this talk, I will introduce an entropy-based summarization of persistence barcodes. We will study some of its properties, including its stability to small perturb
From playlist AATRN 2022
Persistence and Initialization
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Roman Maeder Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and
From playlist Wolfram Technology Conference 2017
The Optimality of the Interleaving Distance on Multidimensional... Modules - Michael Lesnick
Michael Lesnick Stanford University; Member, School of Mathematics, IAS March 6, 2013 Persistent homology is a central object of study in applied topology. It offers a flexible framework for defining invariants, called barcodes, of point cloud data and of real valued functions. Many of the
From playlist Mathematics
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
Claudia Landi (8/29/21): Discrete Morse Theory meets Multi-Parameter Persistence
Discrete Morse theory permits reducing a cell complex to the critical cells of a gradient vector field. Critical cells carry all the relevant homological information about the input data. Multiparameter persistence is a promising tool in topological data analysis of multivariate data that
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Studying Fluid Flows with Persistent Homology - Rachel Levanger
Workshop on Topology: Identifying Order in Complex Systems Topic: Studying Fluid Flows with Persistent Homology Speaker: Rachel Levanger Affiliation: University of Pennsylvania Date: April 7, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Henry Adams (5/3/22): Topology in Machine Learning
Abstract: How do you "vectorize" geometry, i.e., extract it as a feature for use in machine learning? One way is persistent homology, a popular technique for incorporating geometry and topology in data analysis tasks. I will survey applications arising from materials science, computer visi
From playlist Tutorials
Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
