Trees (data structures) | Cluster analysis | Statistical charts and diagrams

Dendrogram

A dendrogram is a diagram representing a tree. This diagrammatic representation is frequently used in different contexts: * in hierarchical clustering, it illustrates the arrangement of the clusters produced by the corresponding analyses. * in computational biology, it shows the clustering of genes or samples, sometimes in the margins of heatmaps. * in phylogenetics, it displays the evolutionary relationships among various biological taxa. In this case, the dendrogram is also called a phylogenetic tree. The name dendrogram derives from the two ancient greek words δένδρον (déndron), meaning "tree", and γράμμα (grámma), meaning "drawing, mathematical figure". (Wikipedia).

Dendrogram
Video thumbnail

Find inverse of a rational equation with two variables in numerator and denominator

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

Video thumbnail

Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

Video thumbnail

Step by step find the inverse of a function with x in numerator and denominator

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Inverse of a function with x in numerator and denominator

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Graphing and finding the inverse of a rational function

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Inverse of a function with variable in numerator and denominator

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Video thumbnail

Ling Zhou (1/21/22): Persistent homotopy groups of metric spaces

In this talk, I will quickly overview previous work on discrete homotopy groups by Plaut et al. and Barcelo et al., and work blending homotopy groups with persistence, including those by Frosini and Mulazzani, Letscher, Jardine, Blumberg and Lesnick, and by Bantan et al. By capturing both

From playlist Vietoris-Rips Seminar

Video thumbnail

Find the value of the trigonometric expression using inverse

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

From playlist Evaluate a Composition of Inverse Trigonometric Functions

Video thumbnail

V-2: Hierarchical clustering with Python: sklearn, scipy | data analysis | Unsupervised | Discovery

In this super chapter, we'll cover the discovery of clusters or groups through the agglomerative hierarchical grouping technique using the WHOLE CUSTOMER DATA (fresh, milk, grocery, ...) with python JUPYTER NOTEBOOK. Pandas libraries for data manipulation, matplotlib for creation of graph

From playlist Python

Video thumbnail

V-1 Hierarchical clustering with Python: sklearn, scipy | data analysis | Discovery | Unsupervised

V-1: In this super chapter, we'll cover the discovery of clusters or groups through the agglomerative hierarchical grouping technique using the WHOLE CUSTOMER DATA (fresh, milk, grocery, ...) with python JUPYTER NOTEBOOK. Pandas libraries for data manipulation, matplotlib for creation of

From playlist Python

Video thumbnail

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

Video thumbnail

6.2.9 An Introduction to Clustering - Video 5: Hierarchical Clustering

MIT 15.071 The Analytics Edge, Spring 2017 View the complete course: https://ocw.mit.edu/15-071S17 Instructor: Allison O'Hair The method of hierarchical clustering, combining, dendrogram, predictive model License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms Mo

From playlist MIT 15.071 The Analytics Edge, Spring 2017

Video thumbnail

Applied topology 12: Hierarchical clustering and single-linkage clustering

Applied topology 12: Hierarchical clustering and single-linkage clustering Abstract: We describe hierarchical clustering and dendrograms. The particular hierarchical clustering technique we describe is the simplest one, single-linkage clustering. There are many other hierarchical clusteri

From playlist Applied Topology - Henry Adams - 2021

Video thumbnail

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

Video thumbnail

Clustering (2): Hierarchical Agglomerative Clustering

Hierarchical agglomerative clustering, or linkage clustering. Procedure, complexity analysis, and cluster dissimilarity measures including single linkage, complete linkage, and others.

From playlist cs273a

Video thumbnail

How to find domain and range of a rational equation using inverse

👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the

From playlist Find the Inverse of a Function

Related pages

R (programming language) | UPGMA | Tree (graph theory) | Phylogenetic tree | Hierarchical clustering