23 Algebraic system isomorphism
Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.
From playlist Abstract algebra
From playlist Geometry: Dynamic Interactives!
Mathieu Desbrun (7/28/22): Connection-based Dimensionality Reduction
Abstract: A common and oft-observed assumption for high-dimensional datasets is that they sample (possibly with added noise) a low-dimensional manifold embedded in a high-dimensional space. In this situation, Non-linear Dimensional Reduction (NLDR) offers to find a low-dimensional embeddin
From playlist Applied Geometry for Data Sciences 2022
Group Isomorphisms in Abstract Algebra
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit
From playlist Abstract Algebra
Applied topology 22: Nonlinear dimensionality reduction - Isomap, Part II
Applied topology 22: Nonlinear dimensionality reduction - Isomap, Part II Abstract: We give an intuitive and visual introduction to Isomap, which is a nonlinear dimensionality reduction technique. Please see the webpage https://web.mit.edu/cocosci/isomap/isomap.html for more detailed info
From playlist Applied Topology - Henry Adams - 2021
Applied topology 21: Nonlinear dimensionality reduction - Isomap, Part I
Applied topology 21: Nonlinear dimensionality reduction - Isomap, Part I Abstract: We give an intuitive and visual introduction to Isomap, which is a nonlinear dimensionality reduction technique. Please see the webpage https://web.mit.edu/cocosci/isomap/isomap.html for more detailed infor
From playlist Applied Topology - Henry Adams - 2021
Bala Krishnamoorthy (10/20/20): Dimension reduction: An overview
Bala Krishnamoorthy (10/20/20): Dimension reduction: An overview Title: Dimension reduction: An overview Abstract: We present a broad overview of various dimension reduction techniques. Referred to also as manifold learning, we review linear dimension reduction techniques, e.g., principa
From playlist Tutorials
Samir Chowdhury (8/17/20): Exploring brain dynamics during ongoing cognition using Mapper
Title: Exploring the landscape of brain dynamics during ongoing cognition using Mapper Abstract: Modern non-invasive neuroimaging methods such as fMRI capture high-resolution spatial patterns of brain activity. While most existing techniques for analyzing neuroimaging data study changes i
From playlist ATMCS/AATRN 2020
Isomorphisms (Abstract Algebra)
An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same. Be sure to subscribe s
From playlist Abstract Algebra
Simplified Interpretation of Complex Biomolecular Ensemble Data Using... by Rajeswari Appadurai
DISCUSSION MEETING : APS SATELLITE MEETING AT ICTS ORGANIZERS : Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VEN
From playlist APS Satellite Meeting at ICTS-2022
Elchanan Solomon (08/25/21): Dimensionality Reduction via Distributed Persistence: DIPOLE
Title: Dimensionality Reduction via Distributed Persistence: DIPOLE Abstract: We propose a new gradient-descent-based paradigm for dimensionality reduction, called DIPOLE, consisting of a loss function with two terms: a local metric term that forces the projection to be an isometry on sm
From playlist AATRN 2021
Isosceles Triangle: Dynamic Illustrations without Words
GeoGebra Resource Link: https://www.geogebra.org/m/Au4rzFcJ
From playlist Geometry: Dynamic Interactives!
Isosceles Triangle Theorems: Dynamic Illustrations WITHOUT WORDS or NUMBERS
Link: https://www.geogebra.org/m/Au4rzFcJ BGM: Andy Hunter
From playlist Geometry: Dynamic Interactives!
👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
From geometry to topology: inverse theorems for distributed persistence - Paul Bendich
Workshop on Topology: Identifying Order in Complex Systems Topic: From geometry to topology: inverse theorems for distributed persistence Speaker: Paul Bendich Affiliation: Duke University Date: April 16, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Visualizing Data using t-SNE (discussions) | AISC Foundational
Toronto Deep Learning Series, 1 November 2018 Part 1 (algorithm): https://www.youtube.com/watch?v=PwDPIVHn8T0 Paper Review: http://www.jmlr.org/papers/v9/vandermaaten08a.html Speaker: Sabyasachi Dasgupta (University of Toronto) Host: Statflo Date: Nov 1st, 2018 Visualizing Data using
From playlist Math and Foundations
Organic Chemistry - Ch 1: Basic Concepts (19 of 97) What is an Optical Isomer?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an optical isomer: a mirror image of another. There are 2 types. Achiral-when the 2 are superimposable, and chiral-molecules that exhibit handedness. Next video in this series can be
From playlist ORGANIC CHEMISTRY CH1 INTRODUCTION
👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
From playlist Types of Triangles and Their Properties
Metric and manifold repair for missing data - Anna Gilbert
Virtual Workshop on Missing Data Challenges in Computation Statistics and Applications Topic: Metric and manifold repair for missing data Speaker: Anna Gilbert Date: September 11, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Using the Isosceles triangle theorem to find the measure of x
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles