Search Results for author: James Halverson

Found 12 papers, 4 papers with code

KAN: Kolmogorov-Arnold Networks

1 code implementation30 Apr 2024 Ziming Liu, YiXuan Wang, Sachin Vaidya, Fabian Ruehle, James Halverson, Marin Soljačić, Thomas Y. Hou, Max Tegmark

Inspired by the Kolmogorov-Arnold representation theorem, we propose Kolmogorov-Arnold Networks (KANs) as promising alternatives to Multi-Layer Perceptrons (MLPs).

Rigor with Machine Learning from Field Theory to the Poincaré Conjecture

no code implementations20 Feb 2024 Sergei Gukov, James Halverson, Fabian Ruehle

Machine learning techniques are increasingly powerful, leading to many breakthroughs in the natural sciences, but they are often stochastic, error-prone, and blackbox.

Learning Theory

Metric Flows with Neural Networks

no code implementations30 Oct 2023 James Halverson, Fabian Ruehle

We develop a theory of flows in the space of Riemannian metrics induced by neural network gradient descent.

Neural Network Field Theories: Non-Gaussianity, Actions, and Locality

no code implementations6 Jul 2023 Mehmet Demirtas, James Halverson, Anindita Maiti, Matthew D. Schwartz, Keegan Stoner

Conversely, the correspondence allows one to engineer architectures realizing a given field theory by representing action deformations as deformations of neural network parameter densities.

Searching for ribbons with machine learning

no code implementations18 Apr 2023 Sergei Gukov, James Halverson, Ciprian Manolescu, Fabian Ruehle

We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk.

Bayesian Optimization reinforcement-learning

Building Quantum Field Theories Out of Neurons

no code implementations8 Dec 2021 James Halverson

An approach to field theory is studied in which fields are comprised of $N$ constituent random neurons.

Infinite Neural Network Quantum States: Entanglement and Training Dynamics

no code implementations1 Dec 2021 Di Luo, James Halverson

We study infinite limits of neural network quantum states ($\infty$-NNQS), which exhibit representation power through ensemble statistics, and also tractable gradient descent dynamics.

Symmetry-via-Duality: Invariant Neural Network Densities from Parameter-Space Correlators

1 code implementation1 Jun 2021 Anindita Maiti, Keegan Stoner, James Halverson

We demonstrate that symmetries of network densities may be determined via dual computations of network correlation functions, even when the density is unknown and the network is not equivariant.

Learning to Unknot

no code implementations28 Oct 2020 Sergei Gukov, James Halverson, Fabian Ruehle, Piotr Sułkowski

We introduce natural language processing into the study of knot theory, as made natural by the braid word representation of knots.

Binary Classification Reinforcement Learning (RL)

Neural Networks and Quantum Field Theory

1 code implementation19 Aug 2020 James Halverson, Anindita Maiti, Keegan Stoner

We propose a theoretical understanding of neural networks in terms of Wilsonian effective field theory.

Gaussian Processes valid

Branes with Brains: Exploring String Vacua with Deep Reinforcement Learning

1 code implementation27 Mar 2019 James Halverson, Brent Nelson, Fabian Ruehle

In one case, we demonstrate that the agent learns a human-derived strategy for finding consistent string models.

High Energy Physics - Theory

Dark Glueballs and their Ultralight Axions

no code implementations15 May 2018 James Halverson, Brent D. Nelson, Fabian Ruehle, Gustavo Salinas

Dark gauge sectors and axions are well-motivated in string theory.

High Energy Physics - Phenomenology High Energy Physics - Theory

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