
Explore the intersection of topology and neural computation, examining how mathematical concepts can enhance our understanding of brain function and artificial intelligence.

Exploring global convergence of gradient descent in non-convex optimization for deep learning, highlighting challenges in bridging theory and practice in machine learning algorithms.

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.

Explore the mathematical foundations of large-scale deep learning and their surprising effectiveness in this lecture by Greg Yang, delving into advanced concepts and cutting-edge research.

Explore the mathematical foundations of large-scale deep learning and their surprising effectiveness in this lecture by Greg Yang, delving into advanced concepts and recent developments.

Exploring uncertainty quantification in physics-informed machine learning, focusing on architecture and learning approaches for scientific applications and complex real-world phenomena.

Exploring data-efficient deep learning for dynamical systems using Euclidean symmetric neural networks, demonstrated on a 3D Slinky model for accelerated simulation and generalization.

Explore overparametrized nonlinear equation systems, their solutions, and implications for neural network optimization landscapes with Stanford's Andrea Montanari at IPAM's EnCORE Workshop.

Exploring mathematical models and probability to interpret the world, blending quantitative analysis with human nature insights for a unique perspective on life and investment.

Innovative extension of deep solver for FBSDEs with jumps, using neural networks to tackle high-dimensional problems in option pricing and counterparty credit risk.

Learn essential matrix algebra for neural networks, covering linear transformations, matrix operations, and their application in PyTorch and Attention mechanisms.

Explore advanced neural network techniques for cervical cancer analysis, focusing on the Stochastic Levenberg-Marquardt Backpropagated method and its applications in oncology research.

Explore nonlinear dynamics of neuronal models and their application to bird song dynamics, focusing on advanced concepts and real-world examples.

Explore efficient foundation models for PDEs with Poseidon, focusing on innovative techniques and applications in computational science.

Explore symmetries in dynamical systems using scalable neural networks to infer patterns across various sizes and complexities.

Explore uncertainty quantification and deep learning techniques for predicting water hazards, focusing on storm surge impacts and urban infrastructure damage assessment.

Explore PDEs for neural assemblies, analyzing their behavior through simulations and mathematical techniques with Professor Benoît Perthame from Sorbonne University.

Explore the intersection of random matrix theory and deep learning, focusing on graph structures and their implications for neural network performance and analysis.

Explore SL(2, Z)-equivariant machine learning, delving into modular forms theory and its practical applications in advanced mathematical modeling.

Explore nonlocal analysis for modeling damage in materials, drawing parallels to neural networks and potential applications in cognitive degeneration research.

Explore subgraph-based networks for expressive, efficient, and domain-independent graph learning. Gain insights into equivariant subgraph aggregation and symmetry principles.