Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Objective function, Linearity and nonlinearity

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (37)

Lorentz Transformations and Covariant Tensors Log in to Mediaspace to watch this video

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Extension of Linear Transformations Log in to Mediaspace to watch this video

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Semi-groups of Contractions Log in to Mediaspace to watch this video

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

Convex Sets: MGT-418 Lecture Log in to Mediaspace to watch this video

On Convex Optimization covers course organization, mathematical optimization problems, solution concepts, and optimization methods.

Orthogonal Linear Maps Log in to Mediaspace to watch this video

Covers orthogonal linear maps, orthogonal matrices, invertibility, and least squares solutions in Euclidean spaces.

Linear Applications: Bases and Dual Spaces Log in to Mediaspace to watch this video

Explores bases, dual spaces, and linear applications in linear algebra.

Linear Algebra: Basis Change and Matrices Log in to Mediaspace to watch this video

Explores basis change in linear algebra and the role of matrices.

Convex Optimization: Introduction and Sets Log in to Mediaspace to watch this video

Covers the fundamentals of convex optimization, including mathematical problems, minimizers, and solution concepts, with an emphasis on efficient methods and practical applications.

Natural Cubic Splines: Optimization and Penalization Log in to Mediaspace to watch this video

Explores the optimization and penalization of natural cubic splines, including roughness penalties and Bayesian inference.

Linear Transformations: Isomorphism and Dimension Log in to Mediaspace to watch this video

Covers isomorphism, dimension, bases, and rank in linear transformations between vector spaces.

Linear Transformations: Matrices and Bases Log in to Mediaspace to watch this video

Covers the method to calculate the images of vectors in a given base.

Diagonalization of Matrices Log in to Mediaspace to watch this video

Explores the diagonalization of matrices through similarity transformations and the significance of this process in linear algebra.

TR global convergence (end) + CG Log in to Mediaspace to watch this video

Covers the trust-region method and introduces the truncated conjugate gradients method.

Neural Networks: Training and Optimization Log in to Mediaspace to watch this video

Explores the training and optimization of neural networks, addressing challenges like non-convex loss functions and local minima.

Martingales and Brownian Motion Log in to Mediaspace to watch this video

Explores the concept of martingales and their relation to Brownian motion through symmetric simple random walks and discusses the potential positive outcomes from the current crisis.

Cantor-Heine Theorem Log in to Mediaspace to watch this video

Covers the Cantor-Heine theorem, discussing uniform continuity and compactness.

Lipschitz Gradient Theorem Log in to Mediaspace to watch this video

Covers the Lipschitz gradient theorem and its applications in function optimization.

Page 2 of 2