Control Systems Courses

Institute for Pure & Applied Mathematics (IPAM)

Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

Explore diagrammatic algorithms for open quantum systems, focusing on balancing dynamical sign problems and error amplification in numerical integration through partial resummation techniques.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Mesoscale Models and Many-Body Systems - IPAM at UCLA

Explores mesoscale structures in many-body systems, explaining the autonomy of continuum equations and their connection to lower-scale physics, with implications for deep neural networks.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Optimal Scaling Quantum Linear Systems Solver via Discrete Adiabatic Theorem

Explore optimal quantum linear systems solver using discrete adiabatic theorem, achieving linear complexity in condition number and precision, with simplified implementation and constant factor analysis.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

The Quantum Linear Systems Problem - IPAM at UCLA

Explore quantum algorithms for solving linear systems, including improved methods and complexity analysis, with a focus on potential exponential speedups and verification challenges.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explore quantum field theory of exotic systems, focusing on fracton phases and their challenges to conventional understanding. Delve into subsystem symmetries, tensor gauge theories, and peculiar UV/IR mixing phenomena.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Can ML Help in Solving Cargo Capacity Management Booking Control Problems

Explore ML applications in cargo capacity management, focusing on booking control problems and predicting solution costs for discrete optimization in revenue management.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Analytical and Empirical Tools for Nonlinear Network Observability in Autonomous Systems

Explore nonlinear network observability in autonomous systems, covering analytical and empirical tools for sensor selection, network analysis, and applications in engineering and biology.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Towards Assurance-Based Learning-Enabled Cyber-Physical Systems

Exploring formal verification, monitoring, and safety case formalization for assurance-based learning-enabled cyber-physical systems, focusing on autonomous vehicles and their complex components.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

From Connected and Autonomous Vehicles Control to Vehicular Traffic Control

Explore innovative traffic control strategies, from individual vehicle management to large-scale systems, addressing technological advancements and methodological challenges in road traffic management.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Algebraic Entropy in Combinatorial Dynamical Systems

Explore algebraic entropy in combinatorial dynamical systems, focusing on T-systems and R-systems. Discover classification results and connections to Cartan matrices and dynamical algebraic combinatorics.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Learning-Based Model Predictive Control - Towards Safe Learning in Control

Explores integrating learning techniques with optimization-based control for safe, high-performance systems. Discusses methods for data-driven modeling, safety filters, and constraint satisfaction in robotics applications.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

High Mode Transport Noise Improves Vorticity Blow Up Control in 3D

Explores regularizing effects of transport noise on 3D Navier-Stokes equations, demonstrating improved vorticity control and well-posedness under specific noise conditions.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Dynamical Systems Approach to Spatially Homogenous Einstein-Vlasov Cosmology

Explore spatially homogenous Einstein-Vlasov cosmology using dynamical systems analysis. Investigate asymptotic solutions near singularities and expanding futures, focusing on Kantowski-Sachs models with Vlasov matter.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Antonio Esposito: Nonlinear Degenerate Cross Diffusion Systems with Nonlocal Interaction

Explores nonlinear degenerate cross-diffusion systems with nonlocal interaction, proving global existence of weak solutions using a semi-implicit JKO scheme for applications in social sciences, finance, and biology.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Topological Generalizations of Possible Worlds Semantics and Their Proof Systems

Topological generalizations of possible worlds semantics and their proof systems for modal and conditional logics, focusing on structural and computational aspects.

• YouTube
• 32 minutes
• On-Demand
• Free Video