The Shape of Data
Exploring how topology can extract new insights from abundant data, focusing on innovative applications of abstract mathematics to deepen our understanding of complex datasets.
How to Make the World Add Up - Navigating Disinformation with Data Analysis
Explore the world of data analysis and disinformation with economist Tim Harford, learning to critically evaluate statistics and uncover truth in a world of misleading numbers.
String Diagrams for Structural Causal Modeling and Inference
Explore structural causal modelling and inference using string diagrams, a powerful visual tool for understanding complex causal relationships in data analysis.
Statistics for Data Analysis with Exercises - Case 2: Normalization Error - Lecture 4
Explore normalization errors in statistical data analysis through practical exercises, enhancing your skills in handling and interpreting complex datasets for high-energy physics research.
Point Estimation Combining Measurements and Fitting - Lecture 2
Explore advanced statistical techniques for point estimation, measurement combination, and data fitting in high-energy physics, enhancing analysis skills for complex experimental data.
Statistics for Data Analysis with Exercises - Lecture 1
Comprehensive introduction to statistical methods for data analysis in high-energy physics, covering fundamental concepts and practical applications through exercises and examples.
How to Find the Median of a Function
Learn to calculate the median of a function, exploring mathematical concepts and problem-solving techniques for this unique statistical measure.
A Sheaf-Theoretic Construction of Shape Space
Sheaf-theoretic approach to construct shape space using Persistent Homology Transform. Explores homotopy sheaves, metrics, stability theorems, and approximation of manifolds.
Gauss's View of Curvature and the Theorema Egregium - Differential Geometry Lecture 35
Explores Gauss's curvature concept, Theorema Egregium, and discrete curvature in polyhedra. Covers Gauss-Rodrigues map, paraboloids, and the Gauss-Bonnet theorem for a comprehensive look at differential geometry.
Random Variables, Means, Variance, and Standard Deviations in Probability and Statistics
Explore key concepts in probability and statistics: random variables, probability distributions, mean, variance, and standard deviation. Learn through examples and practical applications.
Tensor Decompositions - A Quick Tour of Illustrative Applications
Explore tensor decompositions for data analysis and dimensionality reduction. Learn fundamentals, applications in various fields, and hands-on examples using real-world datasets.
AP Calculus AB and BC Free Response Questions Review - 55 Problems
Comprehensive review of AP Calculus AB/BC topics through 55 free-response questions, offering in-depth solutions and exam preparation for advanced mathematics students.
Mathematics at the Roots: Empowering Agriculture with Artificial Intelligence
Explore how AI revolutionizes agriculture, enhancing crop yields and sustainability through data-driven insights and innovative mathematical models.
Margin of Error in Confidence Intervals - Statistics Guide
Comprehensive guide to calculating and interpreting margin of error in confidence intervals for various statistical scenarios, with practical examples and tips for adjusting sample size.
Introduction to Cluster Algebras - Part 1
Explore cluster algebras, quivers, and mutation through examples, with a focus on the Grassmannian. Gain insights into this fundamental algebraic structure and its applications.
Symmetric Functions: Foundations and Applications in Combinatorics - Part 1
Explore symmetric functions in algebraic combinatorics, representation theory, and statistical mechanics. Learn formulas, combinatorial models, and key properties with applications and open problems.
Statistics in Medicine - Introduction to Clinical Research Analysis
Explore key statistical concepts in clinical research, including descriptive and inferential statistics, confidence intervals, p-values, and various statistical tests used in medical studies.
Symmetric Functions: Formulas, Combinatorial Models, and Applications - Part 2
Explore advanced concepts in symmetric functions, their applications in combinatorics and representation theory, and their role in statistical mechanics as partition functions.
Sequential Change-point Detection in Stochastic Differential Equations
Explore advanced techniques for detecting change-points in stochastic differential equations, focusing on sequential methods and their applications in statistical analysis.
Spectrum of Sparse Inhomogeneous Random Graphs
Explore the spectrum of sparse inhomogeneous random graphs, examining structural properties and applications in network science, probability theory, and statistical physics.
Path Convergence of Markov Chains on Large Graphs
Explore path convergence of Markov chains on large graphs, examining theoretical aspects and applications in network science, probability theory, and complex systems analysis.