dani2442's Blog

Conference: 'XI Partial Differential Equations, Optimization, Numerics, and Machine Learning'

A unified, rigorous formulation of Neural ODEs and Neural PDEs.

Why the HJB is Bellman's equation in continuous time, why continuous time matters, and how to solve the resulting control problem with neural policy iteration.

Why the HJB is Bellman's equation in continuous time, why continuous time matters, and how to solve the resulting control problem with neural policy iteration.

Seminar: 'From Optimal Control to Reinforcement Learning'

An overview of the Peter-Weyl theorem and its applications in machine learning.

Supply compounds forever, but demand (attention) doesn't.

Generalization bounds and theory for machine learning models.

The future of healthcare in the age of AI.

Why piracy is likely to move to orbit, and how to defend against it.

When answers get cheap, originality becomes scarce

Notes on Tokamak transport PDEs.

Workshop: 'The Mathematics of Scientific Machine Learning and Digital Twins'

An introduction to Higher-Order Attention, Kernel Methods, and G-Metric Spaces.

We live surrounded by metrics

Math and Code

Analysis and Predictions

Analysis, Predictions and Experiments

Analog computing + AI

Introduction to Physics-Informed Neural Networks

Introduction to Functional PCA.

Optimization using Differntiable Programming and Neural ODEs.

Introduction to Traffic Flow Dynamics.

Introduction to Bifurcation Theory from simple eigenvalues.