Nanfei Jiang·Jul 18Can One Geometric Idea Explain All Convex Duality?In the first article, we started from a simple geometric fact:
Nanfei Jiang·Jul 15What Is Duality in Convex Optimization, Really?If you have taken a course in operations research, convex optimization, or machine learning, you have probably seen the word duality many…
Mathcube·Jul 13The One Operation Hiding Inside Free Energy, the Hamiltonian, and the Price of BreadA graduate student in physics meets the same piece of mathematics at least three times, and is rarely told it is the same piece. It appears…A response icon9
InTowards Explainable AIbyMehmood Ahmed·Jun 27GPT5 Solved a Math Problem That Shocked EveryoneA few days back OpenAI gave us GPT5. People said it is fast. People said it is smart. But then it did something no one saw coming.
Pranjal Wakpaijan·Jun 19Mathematical OptimizationEvery day, you make decisions under constraints. You pick the fastest route to work given traffic. You allocate a budget across competing…