Lectures related to Partition Functions and Models

Belief Propagation on Trees

Explores Belief Propagation on trees, discussing cavity marginals, message passing algorithms, and the computation of free entropy.

Phase Transitions

Explores phase transitions in two-dimensional systems and the critical behavior near transition points.

Spherical Symmetry in Statistical Mechanics

Explores spherical symmetry in statistical mechanics and its role in phase transitions.

Phase Transition in Ising Model

Explores phase transitions in the Ising model, discussing equilibrium states, magnetization, and critical points.

Learning from Probabilistic Models

Delves into challenges of learning from probabilistic models, covering computational complexity, data reconstruction, and statistical gaps.

Complexity of Algorithms

Explores algorithm complexity, analyzing efficiency and worst-case scenarios of sorting algorithms.

The Curie-Weiss Model: Overview and Applications

Covers the Curie-Weiss model, discussing its theoretical foundations and practical applications in physical systems.

P vs NP: Complexity Theory

Delves into complexity theory, focusing on the P vs NP problem and the classification of computational problems based on efficiency.

Complexity of Algorithms: Proofs of Time Complexity

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Statistical Field Theory

Covers the basics of statistical field theory, focusing on Ising models and the Ginsburg-Landau theory.

Integer Factorization: Methods and Algorithms

Explores methods and algorithms for integer factorization, including testing for B smoothness and computing small primes.

Elements of computational complexity Log in to Mediaspace to watch this video

Covers classical and quantum computational complexity concepts and implications.

Scientific Machine Learning: Introduction to Spin Glass Models Log in to Mediaspace to watch this video

Introduces Scientific Machine Learning, emphasizing its application in various scientific fields and the connection between machine learning and physics.

Phase Transitions in the Ising Model Log in to Mediaspace to watch this video

Explores phase transitions in the Ising model, mean magnetization, susceptibility, critical exponents, and the universality of critical exponents.

State Space Models: Expressivity of Transformers Log in to Mediaspace to watch this video

Covers state space models and the expressivity of transformers in sequence copying tasks.

Subset Sum: LLL Algorithm Log in to Mediaspace to watch this video

Covers the Subset Sum problem and the efficient LLL algorithm for finding solutions in lattice basis reduction.

Subquadratic Attention Mechanisms: State Space Models Overview Log in to Mediaspace to watch this video

Covers subquadratic attention mechanisms and state space models, focusing on their theoretical foundations and practical implementations in machine learning.

Computation with Tensor Networks Log in to Mediaspace to watch this video

Explores computation with tensor networks, covering joint probability distributions, statistical mechanics, and quantum computation applications.

Belief propagation simplification Log in to Mediaspace to watch this video

Explores simplifying belief propagation equations for pairwise models, reducing computational complexity from order n cubed to order n.

Linear Systems: Direct Methods Log in to Mediaspace to watch this video

Explores linear systems, direct methods, Gauss elimination, LU decomposition, and computational complexity.