Institute for Pure & Applied Mathematics (IPAM) Courses

Plasticity Without Genetic Change - Bioelectric Embryos & Synthetic Proto-Organisms

Explore bioelectric embryos and synthetic organisms, delving into morphogenetic control, AI-driven tissue reconfiguration, and collective behaviors challenging traditional biological distinctions.

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

Collective Intelligence for Deep Learning - A Survey of Recent Developments

Survey of recent developments in collective intelligence for deep learning, exploring self-organization, emergent behavior, and cellular systems to address robustness and adaptability issues in neural networks.

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

Physical Computation in Insect Swarms - IPAM at UCLA

Explore physical computation in insect swarms, focusing on firefly visual signals and bee pheromone communication. Discover how swarm intelligence emerges from individual interactions.

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

Multi-Agent Common Sense - IPAM at UCLA

Explore multi-agent common sense through mathematical frameworks combining Bayesian learning and game theory. Discover insights into human collaboration, joint intentions, and cultural knowledge acquisition.

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

Categories - The Mathematics of Connection - IPAM at UCLA

Explore the mathematics of connection through category theory, focusing on open systems, their interfaces, and composition. Learn how this approach applies to various fields and collective intelligence.

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

Learning via Conjectural Variations - IPAM at UCLA

Explore learning via conjectural variations, including challenges, equilibrium concepts, experiments, and applications in collective intelligence mathematics.

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

Collective Intelligence as Collective Computation - Future Directions

Explore collective intelligence as computation, examining principles of information processing, dimension reduction, and emergent phenomena in biological and social systems.

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

Large Deviations for Triangle Densities

Explore large deviations for triangle densities in graphs, including Borell's inequality, Gaussian noise stability, and applications to quantum ground states approximation.

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

Volume of P-Zonoids and Inequalities for Determinants

Explore new inequalities for 2-zonoid volumes, potential extensions to p-zonoids, and related determinant inequalities. Delve into Minkowski sums, projections, and support functions in this advanced mathematics lecture.

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

The Brownian Transport Map - IPAM at UCLA

Explore Lipschitz transport maps between probability measures, focusing on the Brownian transport map's construction, properties, and applications to Euclidean functional inequalities.

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

Training Quantum Neural Networks with an Unbounded Loss Function - IPAM at UCLA

Explore quantum neural networks, unbounded loss functions, and techniques to overcome barren plateaus in quantum machine learning, with applications in thermal state and Hamiltonian learning.

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

Quantum Approximate Optimization Algorithm and Local Max-Cut - IPAM at UCLA

Explore quantum optimization algorithms, focusing on QAOA's application to LocalMaxCut. Discover insights on quantum supremacy and the performance comparison between local algorithms and QAOA on various graph instances.

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

Variational Quantum Architectures for Linear Algebra Applications

Explore variational quantum algorithms for linear algebra applications, including singular value decomposition, linear system solving, and generative models, with focus on NISQ-era implementations and real-world examples.

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

Classical and Quantum Algorithms for Isogeny Problems

Explore classical and quantum algorithms for isogeny problems in post-quantum cryptography, focusing on computational challenges, path finding in isogeny graphs, and reductions to other problems in elliptic curve cryptography.

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

Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers

Explore Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers, featuring a simplified circuit and classical post-processing for improved efficiency.

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