International Centre for Theoretical Sciences Courses

Near-Optimal Heteroscedastic Regression With Symbiotic Learning by Praneeth Netrapalli

Explore near-optimal heteroscedastic regression techniques using symbiotic learning, presented by Praneeth Netrapalli. Gain insights into advanced data science methods for improved regression analysis.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Multiscale Decompositions and Random Walks on Convex Bodies

Explore multiscale decompositions and random walks on convex bodies in this advanced mathematical lecture, delving into probabilistic methods and optimization techniques for data science applications.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Extreme Simplicity Bias of Deep Learning by Prateek Jain

Explores the tendency of deep learning models to favor simple solutions, examining implications for model performance, generalization, and interpretability in various applications.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

The Unreasonable Effectiveness of Mathematics in Large Scale Deep Learning - Lecture 2

Explore the mathematical foundations of large-scale deep learning and their surprising effectiveness in this lecture by Greg Yang, delving into advanced concepts and recent developments.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Almost Optimal Variance-Constrained Best Arm Identification - Lecture 2

Explores advanced techniques in variance-constrained best arm identification, focusing on optimal algorithms and theoretical analysis for efficient decision-making in multi-armed bandit problems.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Fitting Manifolds to Data in the Presence of Large Noise by Hari Narayanan

Explore techniques for fitting manifolds to noisy data, focusing on probabilistic and optimization methods in data science. Learn about cutting-edge approaches and their applications.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Fast Distributed Optimization with Asynchrony and Time Delays - Lecture 3

Explore advanced techniques in distributed optimization, focusing on asynchronous methods and handling time delays for efficient large-scale data processing and machine learning applications.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Particle Methods for Optimization Over Measures - Lecture 3

Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Particle Methods for Optimization Over Measures - Lecture 2

Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1

Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Finite Time Analysis of Temporal Difference Learning with Linear Function

Explores finite time analysis of Temporal Difference Learning with linear function approximation, discussing probabilistic and optimization methods in data science and their applications.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Stein Variational Gradient Descent - Fast Finite-Particle Convergence

Explore Stein Variational Gradient Descent and its fast finite-particle convergence in this technical talk by Dheeraj Nagaraj, part of a data science discussion meeting on probabilistic and optimization methods.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Classical and Quadratic Chabauty - Lecture 3

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 51 minutes
• Self-Paced
• Free Video

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video