Publisher Summary This chapter focuses on the inequalities, small ball probabilities, and
application of Gaussian processes. It is well-known that the large deviation result plays a …

The emerging single-cell RNA sequencing (scRNA-seq) technologies enable the investigation
of transcriptomic landscapes at the single-cell resolution. ScRNA-seq data analysis is …

Background Since the invention of next‐generation RNA sequencing (RNA‐seq) technologies,
they have become a powerful tool to study the presence and quantity of RNA molecules …

Cancer immunotherapy has revolutionized cancer treatment, and it relies heavily on the
comprehensive understanding of the immune landscape of the tumor microenvironment (TME). …

… A precise link proved by Kuelbs and Li relates the small ball behavior of … very few general
results is a precise link, discovered in Kuelbs and Li Ž . … Kuelbs and Li 1993 that we only need …

We establish a precise link between the small ball problem for a Gaussian measure μ on a
separable Banach space and the metric entropy of the unit ball of the Hubert space H μ …

Single-cell RNA sequencing (scRNA-seq) technologies facilitate the characterization of
transcriptomic landscapes in diverse species, tissues, and cell types with unprecedented …

A pressing challenge in single-cell transcriptomics is to benchmark experimental protocols
and computational methods. A solution is to use computational simulators, but existing …

Let ξ=(ξ n ) be iidN(0, 1) random variables andq(x), q′(x):R ∞ →[0, ∞) be seminorms. We
investigate necessary and sufficient conditions that the ratio ofP(q(ξ)<ε) andP(q′(ξ)<ε) goes …

Early-life antibiotic exposure perturbs the intestinal microbiota and accelerates type 1
diabetes (T1D) development in the NOD mouse model. Here, we found that maternal cecal …