7 papers
Interval Deformations of Coxeter Arrangements
Yanru Chen, Ang Li, Suijie Wang
We study integer-interval deformations of Coxeter arrangements of types , , and , assigning an integer interval to each root direction through an integer-valued root funct…
Characteristic Polynomials of Graph- and Digraph-Deleted Catalan Arrangements
Yanru Chen, Ang Li, Suijie Wang
We develop a finite-field stratification for characteristic polynomials of deletion subarrangements of the full -Catalan arrangement. It reduces the count to cyclic placements o…
Convolution-type Identity for Characteristic Polynomials of Geometric Semilattices
Yanru Chen, Houshan Fu, Ang Li +1
We establish a convolution formula for the characteristic polynomial of a finite geometric semilattice : \[ χ(M,st)=\sum_{X\in \underline{M}} s^{r-{\rm rk}_{\underline{M}}(X)}χ(…
Level of Faces for Exponential Sequence of Arrangements
Yanru Chen, Houshan Fu, Weikang Liang +1
In this paper, we introduce the bivariate exponential generating function for the number of level- faces of an exponential sequence of arrangements (ESA), and establi…
Gradient-based Sample Selection for Faster Bayesian Optimization
Qiyu Wei, Haowei Wang, Zirui Cao +3
Bayesian optimization (BO) is an effective technique for black-box optimization. However, its applicability is typically limited to moderate-budget problems due to the cubic comple…
Level of Regions for Deformed Braid Arrangements
Yanru Chen, Houshan Fu, Suijie Wang +1
This paper primarily investigates a specific type of deformation of the braid arrangement in , denoted by and defined in (1.2). Let…
Level Decompositions for Symmetric Deformations of the Braid Arrangement
Yanru Chen, Suijie Wang, Jinxing Yang +1
Let be finite and nonempty, and let be the associated sequence of symmetric deformations of t…