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Orthogonality
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Explora conjuntos ortogonales, proyecciones, desigualdad de Cauchy-Schwarz, proceso de Gram-Schmidt, descomposición QR, regresión lineal, espacios de producto interno, polinomios de Legendre y series de Fourier.
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12
Lesons
3 hours 30 minutes
On-Demand
Free-Video
statisticsmatt
Fourier Series
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Explore advanced mathematical concepts including Fourier series, orthogonal bases, and convergence theorems. Gain deep insights into complex analysis and integration techniques.
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19
Lesons
3 hours 30 minutes
On-Demand
Free-Video
StatQuest with Josh Starmer
Linear Regression, Clearly Explained
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Clear explanation of linear regression concepts, including least squares, R-squared, multivariable models, p-values, and F-distribution. Ideal for beginners seeking a solid foundation in statistical analysis.
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9
Lesons
27 minutes
On-Demand
Free-Video
Wrath of Math
Least Squares Solutions and Deriving the Normal Equation - Linear Algebra
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Explore least squares solutions, deriving the normal equation for inconsistent systems. Learn best approximation theorem, its application in R^n, and solve examples with unique and infinite solutions.
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12
Lesons
25 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Kurdyka-Łojasiewicz Exponent for Hadamard-Difference-Parameterized Models
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Explore Kurdyka-Łojasiewicz exponents in L1-regularized optimization, focusing on Hadamard difference parametrization and its impact on local convergence rates of gradient methods.
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1
Lesons
23 minutes
On-Demand
Free-Video
Georgia Tech Research
Sharp Oracle Inequalities for Non-Convex Loss - Lecture 1
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Explore sharp oracle inequalities for non-convex loss in M-estimation, focusing on regularization techniques and sparsity-inducing penalties like the l₁-penalty in Lasso.
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1
Lesons
58 minutes
On-Demand
Free-Video
BIMSA
Geometric Analysis of Phase Retrieval
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Explore geometric analysis of phase retrieval, examining nonconvex heuristics and proving benign geometric structure for efficient signal recovery using iterative optimization methods.
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1
Lesons
52 minutes
On-Demand
Free-Video
StatQuest with Josh Starmer
Gradient Descent, Step-by-Step
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Comprehensive step-by-step explanation of Gradient Descent, covering its application in Machine Learning, optimization techniques, and variations like Stochastic Gradient Descent.
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10
Lesons
24 minutes
On-Demand
Free-Video
MITCBMM
Statistical Learning Theory and Applications - Class 7
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Explore statistical learning theory, covering least squares, gradient descent, regularization, and induction, with insights into historical context and practical applications.
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8
Lesons
1 hour 27 minutes
On-Demand
Free-Video
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