Geometric and Topological Inference

Bei Wang (3/17/15): Geometric Inference on Kernel Density Estimates

From playlist AATRN 2015

Converse Statements - Logic

This video focuses on how to write the converse of a conditional statement. In particular, this video shows how to flip the hypothesis and conclusion of a conditional statement. The concepts of truth value and logical equivalence are explored as well. Your feedback and requests are encour

From playlist Geometry

Inverse Statements - Logic

This video teaches students how to write the inverse of a conditional statement. In particular, this video goes into detail about how to negate the hypothesis and conclusion of a conditional statement. In addition, the concepts of truth value, negating statements and logical equivalence ar

From playlist Geometry

What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

Determine if a sequence is geometric or not

👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque

From playlist Sequences

Determine if a sequence is geometric or not

👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque

From playlist Sequences

Mechanical Explanations and the Direction of Time

Franke Program in Science and the Humanities Mechanical Explanations and the Direction of Time Professors David Albert and Tim Maudlin visited Yale to give lectures and participate in discussion for an event titled "Mechanical Explanations and the Direction of Time." David Albert is Freder

From playlist Franke Program in Science and the Humanities

Vladimir Itskov (4/9/19): Directed complexes, sequence dimension and inverting a neural network

Title: Directed complexes, sequence dimension and inverting a neural network Abstract: What is the embedding dimension, and more generally, the geometry of a set of sequences? This problem arises in the context of neural coding and neural networks. Here one would like to infer the geometr

From playlist AATRN 2019

Sensors, sampling, and scale selection: a homological approach - Don Sheehy

Don Sheehy University of Connecticut April 18, 2015 In their seminal work on homological sensor networks, de Silva and Ghrist showed the surprising fact that its possible to certify the coverage of a coordinate free sensor network even with very minimal knowledge of the space to be covere

From playlist Mathematics

Univalent Foundations Seminar - Steve Awodey

Steve Awodey Carnegie Mellon University; Member, School of Mathematics November 19, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

Presentation of the T3 2022 Geometry and Statistics in Data Sciences

Back to the last scientific programme of 2022, "Geometry and statistics in data sciences". The programme was organised to highlight the relationships between statistics, probability, geometry and topology in data science, and to allow several communities to exchange ideas around these cro

From playlist Centre Émile Borel - program presentations

Frédéric Chazal interviewed by Steve Oudot (September 14, 2022)

Frédéric Chazal interviewed by Steve Oudot (September 14, 2022) For more on the interview series, along with the advertisement posters, please see https://www.aatrn.net/interviews

From playlist AATRN Interviews

Ulrich Bauer: Algebraic perspectives of Persistence

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology Persistent homology, the homology of a filtration, is described up to isomorphism by the persistence diagram (barcode), which encodes the structure of its indecompos

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

Learning to find the ratio of a geometric sequence

👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque

From playlist Sequences

Determining the sum of a geometric sum when there is no sum

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term

From playlist Series

Lewis Marsh (8/3/20): Geometric and topological data analysis of enzyme kinetics

Title: Geometric and topological data analysis of enzyme kinetics Abstract: In this talk, we will mathematically study a differential equation model and generated data describing molecular dynamics of Extracellular Signal Regulated Kinase (ERK), which is known to be linked to human cancer

From playlist ATMCS/AATRN 2020

What is Geometric Entropy, and Does it Really Increase? - Jozsef Beck

Jozsef Beck Rutgers, The State University of New Jersey April 9, 2013 We all know Shannon's entropy of a discrete probability distribution. Physicists define entropy in thermodynamics and in statistical mechanics (there are several competing schools), and want to prove the Second Law, but

From playlist Mathematics

Min-Chun Wu 1/11/2021: A Topological Approach to Inferring the Intrinsic Dim. of Convex Sensing Data

From playlist ATMCS/AATRN 2020

How to determine if a sequence is geometric or not

👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque

From playlist Sequences