2.1k citations · 17.1k across the 109 of their papers we have counts for
112 papers
Large Language Models
Michael R. Douglas
Artificial intelligence is making spectacular progress, and one of the best examples is the development of large language models (LLMs) such as OpenAI's GPT series. In these lectur…
The Tameness of Quantum Field Theory, Part II -- Structures and CFTs
Michael R. Douglas, Thomas W. Grimm, Lorenz Schlechter
Tame geometry originated in mathematical logic and implements strong finiteness properties by defining the notion of tame sets and functions. In part I we argued that observables i…
The Tameness of Quantum Field Theory, Part I -- Amplitudes
Michael R. Douglas, Thomas W. Grimm, Lorenz Schlechter
We propose a generalized finiteness principle for physical theories, in terms of the concept of tameness in mathematical logic. A tame function or space can only have a finite amou…
What is Learned in Knowledge Graph Embeddings?
Michael R. Douglas, Michael Simkin, Omri Ben-Eliezer +4
A knowledge graph (KG) is a data structure which represents entities and relations as the vertices and edges of a directed graph with edge types. KGs are an important primitive in…
Fractional Quantum Hall States on CP2 Space
Jie Wang, Semyon Klevtsov, Michael R. Douglas
We study four-dimensional fractional quantum Hall states on CP2 geometry from microscopic approaches. While in 2d the standard Laughlin wave function, given by a power of Vandermon…
From Algebraic Geometry to Machine Learning
Michael R. Douglas
David Mumford made groundbreaking contributions in many fields, including the pure mathematics of algebraic geometry and the applied mathematics of machine learning and artificial…