This course provides a comprehensive introduction to machine learning and statistical pattern recognition. Students will explore:
The course will also cover recent applications of machine learning, including:
Prerequisites include a foundational knowledge of computer science, basic probability theory, and linear algebra.
This module introduces the motivation behind machine learning and its various applications across industries. Students will learn about the class logistics and the fundamental definitions of machine learning.
It provides an overview of:
This module focuses on the application of supervised learning in the context of autonomous driving. Key topics include:
Students will gain hands-on experience with these concepts, applying them to real-world scenarios.
This module delves into the concepts of underfitting and overfitting, critical aspects of model performance in machine learning. Topics include:
Students will learn to identify and address these issues to improve model accuracy.
This module introduces Newton's Method, a powerful optimization algorithm used in machine learning. Students will explore:
Practical examples will illustrate how these concepts are applied in various machine learning scenarios.
This module covers discriminative algorithms, contrasting them with generative algorithms. Key topics include:
Students will understand how to implement these algorithms in various contexts.
This module explores the Multinomial Event Model, focusing on non-linear classifiers and neural networks. Topics covered include:
Students will learn how these concepts apply to real-world data problems.
This module focuses on the Optimal Margin Classifier, introducing students to advanced concepts such as:
Practical exercises will help students understand these advanced theoretical concepts.
In this module, students will gain insights into Kernels and their role in creating non-linear decision boundaries. Key topics include:
This module combines theory with practical applications to show how kernels enhance SVMs.
This module addresses the Bias/Variance Tradeoff, which is essential for understanding model performance. Key topics include:
In-depth discussions will help students grasp the implications of bias and variance in model development.
This module extends the discussion of Uniform Convergence to cases with infinite hypothesis classes. Topics covered include:
Students will learn how these concepts relate to creating robust machine learning models.
This module discusses Bayesian Statistics and Regularization techniques in the context of machine learning. Key topics include:
Students will gain practical insights into how to apply Bayesian methods effectively.
This module introduces the concept of Unsupervised Learning, covering key techniques like:
Students will engage in practical exercises to understand how these techniques are applied in real-world data analysis.
This module focuses on the Mixture of Gaussian models and their applications, including:
Students will learn how to implement and interpret these models in various contexts.
This module discusses the Factor Analysis Model and techniques for dimensionality reduction. Key topics include:
Engagement in practical applications will illustrate the importance of PCA in data analysis.
This module covers Latent Semantic Indexing (LSI) and its mathematical foundations. Topics include:
Students will learn about LSI's role in information retrieval and text analysis.
This module explores the Applications of Reinforcement Learning, focusing on key concepts such as:
Students will learn how reinforcement learning can be applied to complex decision-making scenarios.
This module addresses the Generalization to Continuous States, crucial for developing robust reinforcement learning algorithms. Topics include:
Students will engage in exercises to apply these concepts in developing effective models.
This module covers State-action Rewards in reinforcement learning and introduces concepts such as:
Students will learn how to apply these concepts to real-world decision-making scenarios.
This module offers practical advice for applying machine learning effectively, focusing on:
Students will engage in practical exercises to reinforce learning and application.
This module introduces Partially Observable MDPs (POMDPs) and discusses their significance, covering:
Students will learn about the challenges and strategies associated with POMDPs in complex environments.