International Centre for Theoretical Sciences Courses

ProtoDash - Fast Interpretable Prototype Selection by Karthik Gurumoorthy

Explore ProtoDash, a fast interpretable prototype selection method for extracting compact representations of large datasets, with applications in causal reasoning, data relationships, and prediction accuracy improvement.

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

A Deep Generative Model for Molecular Graphs by Niloy Ganguly

Explores a deep generative model for molecular graphs using variational autoencoders, discussing its design, properties, and applications in drug discovery and molecule optimization.

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

Inverse Problems under a Learned Generative Prior - Lecture 1

Explores inverse problems using generative priors, comparing to sparsity models. Covers theory, algorithms, and applications in compressive sensing and phase retrieval, with focus on deep learning approaches.

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

The Tau of Ramanujan by Eknath Ghate

Explore Ramanujan's tau-function, its significance in Number Theory, and recent developments. Discover intriguing patterns and open problems in this fascinating mathematical sequence.

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

Toward Theoretical Understanding of Deep Learning - Lecture 2

Explores theoretical aspects of deep learning, including overparameterization, optimization, generalization, and generative models, offering insights for researchers and practitioners in machine learning.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Quantum Inflation in the Planck Era and Beyond by J. Richard Bond

Explore quantum fluctuations in the early universe, cosmic microwave background data, and the quest for physics beyond the standard model of cosmology through cutting-edge experiments and observations.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

The Computational Theory of Riemann-Hilbert Problems - Lecture 4

Explores computational approaches to Riemann-Hilbert problems, covering Cauchy integrals, Sobolev spaces, and applications to nonlinear equations like Schrödinger and KdV, with code demonstrations and numerical solution techniques.

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

Mathematics of Machine Learning: An Introduction - Lecture 1

Comprehensive introduction to machine learning fundamentals, covering mathematical formalization, deep learning concepts, optimization techniques, and real-world applications in various domains.

• YouTube
• 1 hour 43 minutes
• Self-Paced
• Free Video

The Analytic S-matrix Bootstrap - Lecture 1

Explore the S-matrix bootstrap approach in string theory, covering classic results and recent developments in analytic and numerical methods for solving theories through internal consistency.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

X-ray and Microwave Cosmology: Synergy and Competition - Lecture 1

Explore X-ray and microwave cosmology, focusing on CMB interactions with hot electrons and their impact on our understanding of the Universe. Learn about cutting-edge telescopes and spacecraft.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Observing the Birth of the Universe by Lyman Page

Explore the cosmic microwave background, its measurement techniques, and implications for understanding the early universe and gravitational waves in this comprehensive lecture by a Princeton physicist.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Topics in Quantum Chaos - An Infosys Prize Lecture by Nalini Anantharaman

Explore quantum chaos, from Einstein's inquiries to recent developments in quantum ergodicity and toy models, examining spectral statistics, billiards, and random graphs to understand chaotic wave behavior in quantum mechanics.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Is the Universe Geometric or Algebraic? by Minhyong Kim

Explore the interplay between geometry and algebra in understanding the universe, from ancient concepts to modern physics, with insights on perception, reality, and mathematical foundations.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

The Discrete Charm of Geometry by Alexander Bobenko

Explore the fascinating world of discrete geometry and its applications in architecture, computer graphics, and physics. Discover structure-preserving discretizations through simple examples and stunning visuals.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

Shock Waves and Turbulence - Physical Modeling, Numerical Challenges

Explore shock waves and turbulence in high-speed flows, covering physical modeling, numerical simulations, and applications in aerospace and astrophysics. Learn about shock-turbulence interactions and heat transfer.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video