5 papers
Data-Driven Fire Modeling: Learning First Arrival Times and Model Parameters with Neural Networks
Xin Tong, Bryan Quaife
Data-driven techniques are being increasingly applied to complement physics-based models in fire science. However, the lack of sufficiently large datasets continues to hinder the a…
Generalized Motives through Witt Vectors
Xin Tong
We generalize condensed motives, through Witt vectors and the associated moduli stacks of generalized line bundles.
Arithmetic Hodge-Iwasawa Moduli Stacks
Xin Tong
In this article, we are going to construct arithmetic moduli stacks of -bundles after our previous construction on Hodge-Iwasawa theory. These stacks parametrize certain Hodge-I…
-Categorical Approaches to Hodge-Iwasawa Theory II: -Categorical and Derived Hodge-Iwasawa Modules
Xin Tong
This paper is a discussion on -categorical approaches to Hodge-Iwasawa Theory, which was initiated in our project on the -categorical approaches to Hodge-Iwasawa Th…
-Categorical Functional Analysis and -adic Motives
Xin Tong
We discuss the deep relationship between -categorical functional analysis and the anticipated theory of -adic motives. The motivation fundamentally comes from applicatio…