Cluster analysis algorithms | Algebraic graph theory
In multivariate statistics, spectral clustering techniques make use of the spectrum (eigenvalues) of the similarity matrix of the data to perform dimensionality reduction before clustering in fewer dimensions. The similarity matrix is provided as an input and consists of a quantitative assessment of the relative similarity of each pair of points in the dataset. In application to image segmentation, spectral clustering is known as segmentation-based object categorization. (Wikipedia).
From playlist Thinking about Data
From playlist Clustering Algorithms
3 Easy Steps to Understand and Implement Spectral Clustering in Python
This video explains three simple steps to understand the Spectral Clustering algorithm: 1) forming the adjacency matrix of the similarity graph, 2) eigenvalue decomposition of the normalized adjacency matrix or Laplacian matrix, and 3) applying the KMeans clustering algorithm to the rows o
From playlist Unsupervised Clustering Methods - Dr. Data Science Series
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
Teach Astronomy - Clustered Distribution
http://www.teachastronomy.com/ Sometimes stars appear to be close to each other on the plane of the sky, but how do we know if these stars are physically close to each other in three dimensional space? For an individual pair of stars, without additional information, we don't know, but for
From playlist 17. Galactic Mass Distribtuion and Galaxy Structure
We will look at the fundamental concept of clustering, different types of clustering methods and the weaknesses. Clustering is an unsupervised learning technique that consists of grouping data points and creating partitions based on similarity. The ultimate goal is to find groups of simila
From playlist Data Science in Minutes
Teach Astronomy - Random Distribution
http://www.teachastronomy.com/ Astronomers are often interested in the clustering of objects in space whether they be stars, or galaxies, or quasars. To understand the nature of clustering it's better to start with the situation of a random distribution, and it's sometimes easiest to thin
From playlist 17. Galactic Mass Distribtuion and Galaxy Structure
Hierarchical Clustering 5: summary
[http://bit.ly/s-link] Summary of the lecture.
From playlist Hierarchical Clustering
Three Clustering Algorithms You Should Know: k-means clustering, Spectral Clustering, and DBSCAN
This video explains three different unsupervised clustering algorithms: k-means clustering, spectral clustering, and DBSCAN (Density-Based Spatial Clustering of Applications with Noise). Clustering algorithms are essential unsupervised learning techniques that aim to find groups of similar
From playlist Unsupervised Clustering Methods - Dr. Data Science Series
Teach Astronomy - Galaxy Clusters
http://www.teachastronomy.com/ Galaxy clusters contain anywhere from hundreds to thousands of galaxies, and there is no fixed demarcation between what is considered a galaxy group and a cluster. In the early 1960s astronomer George Abell cataloged twenty-seven hundred clusters in the nort
From playlist 20. Galaxy Interaction and Motion
35. Finding Clusters in Graphs
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k The topic of this
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Jeff Calder: "Discrete regularity for graph Laplacians"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Discrete regularity for graph Laplacians" Jeff Calder - University of Minnesota, Twin Cities Abstract: The spectrum of the graph Laplacian plays an important role in data science,
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Kaggle Live Coding: Document Clustering | Kaggle
This week we'll take the document embeddings we got last week and try out some distance based clustering approaches. SUBSCRIBE: https://www.youtube.com/c/kaggle?sub_... About Kaggle: Kaggle is the world's largest community of data scientists. Join us to compete, collaborate, learn, and
From playlist Kaggle Live Coding | Kaggle
Clustering signed networks and time series data
From 25 June to 14 September 2018, 20 interns worked across nine projects. This series is a compilation of their final presentation. Speaker(s): Aldo Glielmo, King's College London Peter Davies, University of Warwick We are currently involved in an exciting re-structuring of our intern
From playlist Intern project presentations 2018
Dimers and Beauville Integrable systems by Terrence George
PROGRAM: COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Concentration of random graphs and application to community detection – E. Levina – ICM2018
Probability and Statistics Invited Lecture 12.10 Concentration of random graphs and application to community detection Elizaveta Levina Abstract: Random matrix theory has played an important role in recent work on statistical network analysis. In this paper, we review recent results on r
From playlist Probability and Statistics
Optimization meets machine learning for neuroimaging - Gramfort - Workshop 3 - CEB T1 2019
Alexandre Gramfort (INRIA) / 01.04.2019 Optimization meets machine learning for neuroimaging. Electroencephalography (EEG), Magnetoencephalography (MEG) and functional MRI (fMRI) are noninvasive techniques that allow to image the active brain. Yet to do so, challenging computational and
From playlist 2019 - T1 - The Mathematics of Imaging
Clustering and classification from the core to the edge - Thomas Strohmer, California University
This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai
From playlist Mathematics of data: Structured representations for sensing, approximation and learning