Abstract: Conditional maximum mean discrepancy (CMMD) can capture the discrepancy between conditional distributions by drawing support from nonlinear kernel functions; thus, it has been successfully ...

Two-sample testing examines whether two probability distributions on some feature space differ based on random samples. It is fundamental in statistics and machine learning, especially when feature ...

Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinatorially modeled as ...

Mathematicians aren't usually the first point of call on moving day. And really, why should they be? For nearly 60 years, they couldn't even tell you whether your fancy new three-seat sofa would make ...

1 College of Science, North China University of Science and Technology, Tangshan, China. 2 Hebei Key Laboratory of Data Science and Application, Tangshan, China.

In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin. This definition will ...

With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying structure has become a problem of fundamental ...

In this post I shall discuss the paper “On a Topological Topos” by Peter Johnstone. The basic problem is that algebraic topology needs a “convenient category of spaces” in which to work: the category ...

The discussion on Tom’s recent post about ETCS, and the subsequent followup blog post of Francois, have convinced me that it’s time to write a new introductory blog post about type theory. So if ...

Hodge theory connects the geometry of algebraic varieties to their topological properties via the Hodge decomposition and Hodge diamond. It has been central to developments in mirror symmetry, ...