Society for Industrial and Applied Mathematics Courses

Optimization, Complexity and Math - Can We Prove P!=NP by Gradient Descent?

Explore optimization, complexity, and mathematics with Avi Wigderson. Delve into perfect matchings, symbolic matrices, and operator scaling, connecting diverse areas of mathematics and computer science.

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

Optimal Transport and Risk Aversion in Kyle's Model of Informed Trading - SIAM FME Virtual Talk

Virtual talk series exploring optimal transport theory in Kyle's model of informed trading, featuring connections to conjugate duality, multi-asset extensions, and implications for risk-averse market makers in financial markets.

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

Multivariate Cryptography and Polynomial System Solving Complexity

Explore multivariate cryptography, Gröbner bases, and polynomial system solving complexity. Gain insights into linear-algebra-based methods and their impact on cryptographic security.

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

Applications of Bernstein's Other Theorem in Geometry and Algebra

Explore applications of Bernstein's Other Theorem in polynomial systems, focusing on non-general yet Bernstein-general cases from various fields, and their optimal solution methods.

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

Denoising as a Building Block: Theory and Applications in Image Processing

Explore image denoising theory, its properties, and applications as building blocks for broader image processing tasks and inverse problem regularization.

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

Stability and Discretization Techniques for Elliptic Inverse Parameter Problems in Elastography - Application to Breast Tumor Detection

Explores stability and discretization techniques for elliptic inverse parameter problems in elastography, focusing on shear modulus recovery in biological tissues for breast tumor detection. Discusses theoretical challenges and practical solutions.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

DeepSet and Derivative Networks for Solving Symmetric Problems

Explore DeepSet networks for solving symmetric problems in high-dimensional PDEs and control, with applications in finance and mean-field control. Learn about their advantages and performance in various scenarios.

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

Vectorization, Decomposition, and PDE Identification in Imaging and Inverse Problems

Explore image vectorization, decomposition, and PDE identification techniques. Learn about silhouette extraction, image separation, and differential equation recovery from discrete data.

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

Spectral Problems in Inverse Scattering Theory - 21st IMAGINE OneWorld SIAM-IS Seminar

Explore scattering theory's spectral problems, focusing on poles, non-scattering frequencies, and transmission eigenvalues. Learn how these relate to scattering operators and material properties in inhomogeneous media.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Talking BIG Jobs: Career Insights from a DoD Technical Director - Dr. Carla Cotwright-Williams

Explore a mathematician's journey to Technical Director at the DoD, offering insights on career transitions, research, and leadership in government roles.

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

Bayesian Inference with Plug-and-Play Priors - Imaging and Inverse Problems Seminar

Explore Bayesian imaging with Plug & Play methods, focusing on convergence guarantees and well-posed models. Learn about novel algorithms for Monte Carlo sampling and MAP inference in inverse problems.

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

Coupled Physics Imaging with Sound and Light - Deterministic and Stochastic Approaches

Explore coupled physics imaging techniques combining sound and light, covering PhotoAcoustic Tomography, Ultrasound Modulated Acoustic Tomography, and innovative reconstruction methods using Compressed Sensing and Machine Learning.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Certificates of Nonnegativity and Their Applications in Theoretical Computer Science

Explore nonnegativity certificates in real algebraic geometry, focusing on sums of squares and sums of nonnegative circuit polynomials, with applications to polynomial optimization and theoretical computer science.

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

Foundations of Deep Learning and AI: Instabilities, Limitations, and Potential

Exploring deep learning's instability, AI limitations, and potential impacts on scientific computing and medical imaging. Compares AI's current state to early 20th-century mathematics, predicting similar foundational challenges.

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

Linear Spaces of Symmetric Matrices - SIAM SAGA Seminar

Explore linear spaces of symmetric matrices, their algebraic geometry, and applications in statistics and optimization with Bernd Sturmfels in this advanced mathematics seminar.

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