High-dimensional Data Courses and Certifications

Simons Institute

Sketching High-Dimensional Data

Explore techniques for efficiently summarizing and analyzing large datasets in high-dimensional spaces, focusing on probability, geometry, and computational methods.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Alan Turing Institute

Geometric Graph-Based Methods for High Dimensional Data

Explore geometric graph-based methods for segmenting large datasets, combining nonlinear PDE image segmentation with linear algebra techniques to solve graph cut optimization problems in various applications.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Cambridge Materials

Identifying Informative Distance Measures in High-Dimensional Feature Spaces

Explore Prof. Alessandro Laio's approach to assessing relative information in distance measures for high-dimensional data, helping identify the most informative measures for statistical learning applications.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Optimal Rates of Exact Recovery of the Matching Map

Explore the mathematical problem of estimating matching maps between noisy observations, including permutation estimation and recovery with unknown match sizes, with proven optimal rates and efficient algorithms.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Dimensionality Reduction in Python

Understand the concept of reducing dimensionality in your data, and master the techniques to do so in Python.

• DataCamp
• 4 hours
• Self-Paced
• Free Trial Available

Simons Institute

Tensor Graphical Models for Complex and High Dimensional Data

Explore advanced statistical methods for analyzing complex, high-dimensional data using tensor graphical models, with applications in algorithmic inference and combinatorial structures.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Low Rank Tensor Methods in High Dimensional Data Analysis

Explore low rank tensor methods for analyzing high-dimensional data in various fields. Learn about recent progress, challenges, and applications in extracting information from multilinear arrays.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Fields Institute

PCA for High-Dimensional Heteroscedastic Data

Explore optimal weighting for PCA in high-dimensional heteroscedastic data, improving recovery of underlying components and addressing challenges in modern applications with heterogeneous datasets.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Nonlinear Dynamics, High Dimensional Data, and Persistent Homology

Explore nonlinear dynamics, high-dimensional data analysis, and persistent homology with Konstantin Mischaikow. Learn about algebraic topology applications, persistence diagrams, and recent advancements in data science.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Low Rank Tensor Methods in High Dimensional Data Analysis

Explore advanced tensor methods for analyzing high-dimensional data, focusing on recent developments, challenges, and applications in various scientific fields.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

VinAI

Nonlinear Statistical Modeling for High-Dimensional and Small Sample Data

Explore nonlinear feature selection methods for high-dimensional, small sample data. Learn about HSIC Lasso, kernel PSIs, and feature selection networks for advanced machine learning applications.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Center for Language & Speech Processing(CLSP), JHU

Pursuit of Low-dimensional Structures in High-dimensional Data - 2013

Explore techniques for extracting low-dimensional structures from high-dimensional data, with applications in computer vision, image processing, and pattern recognition. Learn about convex optimization and regularization methods.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Alan Turing Institute

Exploring High Dimensional Data in Astronomy, Genomics and Beyond Using Glue

Discover "glue," a powerful analysis/visualization tool for exploring diverse datasets across fields. Learn its origins, capabilities, and applications in astronomy, genomics, and beyond.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

High-Dimensional Data, Level-Set Geometry, and Voronoi Analysis of Point Sets

Explore spatial point sets, high-dimensional data analysis, and Voronoi cell topology to understand complex physical systems and classify data structures in innovative ways.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Harvard CMSA

Thinking About High-Dimensional Biological Data in the Age of AI

Explore AI's promise and limitations in biology through transformer models for genotype-phenotype mapping and LLM-based cellular identity analysis, comparing complex AI with simpler methods.

• YouTube
• 53 minutes
• Self-Paced
• Free Video