Covariance Courses and Certifications

Introduction to Probability

Master probability theory fundamentals from MIT, covering random variables, Bayesian inference, statistical analysis, and Markov chains for data analysis applications.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Yannic Kilcher

XCiT- Cross-Covariance Image Transformers - Facebook AI Machine Learning Research Paper Explained

Explore XCiT, a novel Transformer architecture for computer vision using cross-covariance attention. Learn about its linear complexity, scalability, and performance across various vision tasks.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Great Learning

Statistics for Data Science - Probability and Statistics Tutorial

One of the most critical aspects of the data science approach is our perception of getting the information processed. In developing insights from our accumulated data, we dig out the possibilities. And those possibilities are known as statistical analysi…

• YouTube
• 7 hours 13 minutes
• On-Demand
• Free Video

NPTEL;  IIT Kharagpur

Probability & Random Variables

Comprehensive exploration of probability theory, random variables, and stochastic processes, covering fundamental concepts to advanced topics like spectral analysis and adaptive filtering.

• YouTube
• 1 day 16 hours
• On-Demand
• Free Video

Statistics Fundamentals

Comprehensive overview of statistical concepts, from basic distributions to advanced topics like maximum likelihood, providing a solid foundation for data analysis and interpretation.

• YouTube
• 8 hours
• On-Demand
• Free Video

Risk and Financial Crises - Probability Theory in Financial Markets

Explore probability theory in financial crises context, covering expected value, variance, covariance, and regression analysis. Learn about risk decomposition and the limitations of normal distribution assumptions in finance.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Portfolio Diversification and Supporting Financial Institutions - CAPM Model

Explore portfolio diversification, efficient frontiers, and the Capital Asset Pricing Model to maximize returns and manage risk in financial markets.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Facial Recognition: Eigenvectors and Covariance Matrices - Lecture 14

Explore facial recognition technology, from simple approaches to advanced techniques using eigenvectors and covariance matrices. Learn about challenges and solutions in this field.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Kavli Institute for Theoretical Physics

Indicator Power Spectra- Surgical Excision of Non-linearities and Covariance Matrices for Counts in Cells

Explore indicator power spectra for cosmic web analysis, focusing on non-linearity removal and covariance matrices in cell count studies to enhance understanding of large-scale structures.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Chemometrics & Machine Learning in Copenhagen

The Cage of Covariance

Explore strategies for handling correlated variables in data analysis, including orthogonalization techniques and predictive component methods.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Association for Computing Machinery (ACM)

Algorithms for Heavy-Tailed Statistics - Regression, Covariance Estimation, and Beyond

Explore advanced statistical techniques for handling heavy-tailed data, including regression and covariance estimation, with a focus on SOS assumptions and median of means framework.

• YouTube
• 20 minutes
• On-Demand
• Free Video

VinAI

Geometry of Covariance Matrices, Covariance Operators, and Gaussian Processes

Explore geometric approaches to covariance matrices, operators, and Gaussian processes. Gain insights into non-Euclidean distances, Fisher-Rao distance, and Wasserstein distance in infinite-dimensional settings.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Covariance and Subspace Inference: Handling Robustness, Variability and Heterogeneity

Explore covariance matrix inference and PCA for non-regular data, covering mixed effects models, Gaussian assumptions, outlier handling, and applications in radio-interferometry calibration and imaging.

• YouTube
• 38 minutes
• On-Demand
• Free Video

USC Probability and Statistics Seminar

Clustering a Mixture of Gaussians with Unknown Covariance - Lecture

Explore clustering with Gaussian mixtures, focusing on maximum likelihood estimation, Max-Cut solutions, and efficient algorithms. Investigate statistical-computational gaps and challenges in high-dimensional settings.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Fluctuations of Linear Eigenvalue Statistics in Sample Covariance Matrices - Tensor Product Data

Explore fluctuations in linear eigenvalue statistics of sample covariance matrices with tensor product data, comparing normal and uniform distributions on unit sphere.

• YouTube
• 56 minutes
• On-Demand
• Free Video