5.4k citations · 27.8k across the 92 of their papers we have counts for
90 papers
Discovering New Interpretable Conservation Laws as Sparse Invariants
Ziming Liu, Patrick Obin Sturm, Saketh Bharadwaj +2
Discovering conservation laws for a given dynamical system is important but challenging. In a theorist setup (differential equations and basis functions are both known), we propose…
GenPhys: From Physical Processes to Generative Models
Ziming Liu, Di Luo, Yilun Xu +2
Since diffusion models (DM) and the more recent Poisson flow generative models (PFGM) are inspired by physical processes, it is reasonable to ask: Can physical processes offer addi…
Poisson Flow Generative Models
Yilun Xu, Ziming Liu, Max Tegmark +1
We propose a new "Poisson flow" generative model (PFGM) that maps a uniform distribution on a high-dimensional hemisphere into any data distribution. We interpret the data points a…
AI Poincaré 2.0: Machine Learning Conservation Laws from Differential Equations
Ziming Liu, Varun Madhavan, Max Tegmark
We present a machine learning algorithm that discovers conservation laws from differential equations, both numerically (parametrized as neural networks) and symbolically, ensuring…
Machine-Learning Non-Conservative Dynamics for New-Physics Detection
Ziming Liu, Bohan Wang, Qi Meng +3
Energy conservation is a basic physics principle, the breakdown of which often implies new physics. This paper presents a method for data-driven "new physics" discovery. Specifical…
Assessment of ionospheric activity tolerances for Epoch of Reionisation science with the Murchison Widefield Array
Cathryn M. Trott, C. H. Jordan, S. G. Murray +20
Structure imprinted in foreground extragalactic point sources by ionospheric refraction has the potential to contaminate Epoch of Reionisation (EoR) power spectra of the 21~cm emis…