In this paper, we establish stochastic elastic model and stochastic Peierls--Nabarro (PN) model with short range order (SRO) in high--entropy alloys (HEAs).

Best subset selection aims to find a small subset of predictors that lead to the most desirable and pre-defined prediction accuracy in a linear regression model.

The global blockchain technology market size is expected to expand at a compound annual growth rate of over 80% from 2021 to 2028.

In this era of big data, quantifying relationships between different components of a complex system is an appealing and challenging problem.

The development in computer technology have enabled computerized trading algorithms. Market making is one of the most famous high frequency trading strategy. By placing bid and ask orders simultaneously, market maker provides liquidity to the market.

Multiple comparisons in hypothesis test are often subject to structural constraints in applications. In structural Magnetic Resonance Imaging for Alzheimer's Disease, one studies not only the atrophy brain regions, but also comparisons of anatomically adjacent regions.

Multi-scale methods are constantly demanded for scientific research and industry application. This report reviews family of unified gas-kinetic methods for modeling multi-scale flows.

Many partial differential equations may have solutions with nearly singular behaviors, such as shock waves and boundary layers.