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Lecture
Neural networks under SGD
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Neural Networks: Training and Optimization
Explores the training and optimization of neural networks, addressing challenges like non-convex loss functions and local minima.
Gradient Descent: Optimization Techniques
Explores gradient descent, loss functions, and optimization techniques in neural network training.
Generalization in Deep Learning
Delves into the trade-off between model complexity and risk, generalization bounds, and the dangers of overfitting complex function classes.
Feed-forward Networks
Introduces feed-forward networks, covering neural network structure, training, activation functions, and optimization, with applications in forecasting and finance.
Multilayer Neural Networks: Deep Learning
Covers the fundamentals of multilayer neural networks and deep learning.
Kinetic Theory: Distribution Function Evolution
Explores the evolution of the distribution function describing particles in phase space.
Stochastic Gradient Descent
Explores stochastic gradient descent optimization and the Mean-Field Method in neural networks.
Double Descent Curves: Overparametrization
Explores double descent curves and overparametrization in machine learning models, highlighting the risks and benefits.
Risk Management: Quantitative Methods
Explores risk management concepts, including VaR, ES, and measurement methods.
Quantitative Risk Management: Risk Measures
Covers risk measures used for determining risk capital and capital adequacy.