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Related lectures (40)

Proximal Gradient Descent: Optimization Techniques in Machine Learning Log in to Mediaspace to watch this video

Discusses proximal gradient descent and its applications in optimizing machine learning algorithms.

Optimization Techniques: Gradient Descent and Convex Functions Log in to Mediaspace to watch this video

Provides an overview of optimization techniques, focusing on gradient descent and properties of convex functions in machine learning.

Differentiable Functions and Lagrange Multipliers Log in to Mediaspace to watch this video

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Fourier Series: Convergence and Dirichlet Theorem Log in to Mediaspace to watch this video

Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.

Differentiable Functions in R² Log in to Mediaspace to watch this video

Covers the representation of differentiable functions in R² and the concept of changes of coordinates through bijections.

Differentiability and Partial Derivatives Log in to Mediaspace to watch this video

Explores differentiability in two variables and the chain rule for compositions.

Intersection of 2 Cylinders Log in to Mediaspace to watch this video

Explores the intersection of two cylinders in cylindrical coordinates and the concept of bijectivity.

Derivatives: Definition and Examples Log in to Mediaspace to watch this video

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Vector Operations: Planes and Lines Log in to Mediaspace to watch this video

Explores vector operations in 3D space, including plane intersections and distance calculations.

Implicit functions theorem Log in to Mediaspace to watch this video

Explores the implicit functions theorem, showcasing examples of implicit differentiation and function definition.

Ray Tracing: Fundamentals Log in to Mediaspace to watch this video

Covers the basics of ray tracing, including ray generation, intersection with geometric shapes, and distance calculations to planes, setting the foundation for implementing a ray tracer.

Differentiability and Tangent Planes Log in to Mediaspace to watch this video

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Differentiability and Limits Log in to Mediaspace to watch this video

Explores differentiability, limits, and open sets in multivariable functions, with a focus on local minimums and continuity.

Surface Normals: Vector Analysis Log in to Mediaspace to watch this video

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Optimization on Manifolds Log in to Mediaspace to watch this video

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How to Compute Derivatives?: Analysis 1 Lecture 18 Log in to Mediaspace to watch this video

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Approximation by Smooth Functions Log in to Mediaspace to watch this video

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Analytical Geometry: Mixed Product and Determinant Log in to Mediaspace to watch this video

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Linear Combinations and Basis Characterization Log in to Mediaspace to watch this video

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Manopt: Optimization Toolbox for Manifolds Log in to Mediaspace to watch this video

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

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