- Advanced Linear Algebra for Data Science9 min
Advanced linear algebra forms the backbone of many sophisticated algorithms in data science and machine learning. It enables us to manipulate...
- Elementary Linear Algebra with Applications using Python6 min
Vectors are fundamental objects in linear algebra and can represent various quantities in mathematics, physics, and computer science. In Python, vectors can...
- Intuition for Eigenvalues and Eigenvectors13 min
Linear transformations represent mappings between vector spaces that preserve vector addition and scalar multiplication. In machine learning, understanding...
- Linear Algebra and Affine Projective Geometry11 min
Vector spaces form the foundation of linear algebra. They are sets of vectors that can be added together and multiplied by scalars. Let's explore a simple...
- Linear Algebra for AI and ML Inverse and Determinants in Python12 min
Linear algebra forms the backbone of many machine learning algorithms and AI techniques. It provides the mathematical foundation for understanding and...
- Linear Algebra Fundamentals for Quant Finance and ML10 min
Linear algebra operations in quantitative finance start with vectors representing asset returns, prices, or risk factors. NumPy provides efficient tools for...
- Matrix Factorization and Tensor Methods9 min
NMF is a powerful technique for decomposing a nonnegative matrix V into two nonnegative matrices W and H, such that V ≈ WH. This method is widely used in...
- Matrix Operations in Python4 min
Matrices are two-dimensional arrays that represent a collection of numbers arranged in rows and columns. Python provides several ways to work with matrices...
- Matrix-based Rank Adaptation (MoRA) in Python6 min
Introduction to Matrix-based Rank Adaptation (MoRA)
- Methods for Matrix Multiplication in Python with NumPy5 min
Matrix multiplication is a fundamental operation in linear algebra and has numerous applications in various fields. This presentation will explore three...
- Negative Binomial Regression for Predicting Video Views10 min
Negative Binomial Regression is a statistical model used for count data with overdispersion. It's an extension of Poisson regression that allows for greater...
- Poisson Regression for Modeling Count Data7 min
The Poisson distribution models the probability of events occurring in fixed intervals of time or space. It's particularly useful for count data where events...
- Power of Matrix Theory using Python7 min
Matrix theory is a fundamental branch of mathematics with wide-ranging applications in various fields. It provides a powerful framework for solving complex...
- Regression Analysis: Understanding R-Squared vs. Adjusted R-Squared in Python9 min
Regression analysis is a powerful statistical method used to model relationships between variables. It's widely applied in various fields, from economics to...
- Scalar, Vector, Matrix, and Tensor The Foundations of Data Science in Python10 min
These fundamental mathematical structures form the backbone of modern data science, enabling complex computations and representations in Python. We'll...
- Understanding R-squared and Adjusted R-squared in Regression Models12 min
R-squared (R²) and adjusted R-squared are statistical measures used to evaluate the goodness of fit of regression models. They provide insights into how well...
- Understanding the Range of R-squared in Regression9 min
R-squared, also known as the coefficient of determination, measures the proportion of variance in the dependent variable explained by independent variables...
- Understanding Vectors in Linear Algebra with Python11 min
Vectors are fundamental elements in linear algebra, representing quantities with both magnitude and direction. They form the backbone of many mathematical...
- Variance Inflation Factor (VIF) and Regression Diagnostics in Python6 min
VIF and regression diagnostics are essential tools in statistical analysis, helping to identify and address multicollinearity and other issues in linear...
- Why Ordinary Least Squares is an Unbiased Estimator3 min
Python's type system provides flexible and dynamic variable handling. Variables are containers that store data, and their type is determined automatically...