A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

Abstract: A generalized Chinese remainder theorem (CRT) for multiple integers from residue sets has been studied recently, where the correspondence between the remainders and the integers in each ...

Electromagnetic brain imaging is the reconstruction of brain activity from non-invasive recordings of electroencephalography (EEG), magnetoencephalography (MEG), and also from invasive ones such as ...

Abstract: In this paper, we present a class of codes, referred to as random staircase generator matrix codes (SGMCs), which have staircase-like generator matrices. In the infinite-length region, we ...

Best-subset selection is a benchmark optimization problem in statistics and machine learning. Although many optimization strategies and algorithms have been proposed to solve this problem, our ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...

The blockchain has a great vogue in recent years, and its core consensus algorithms also become the focus of research. At present, most of the research on consensus mechanisms are oriented to the ...

China’s research efforts in artificial intelligence (AI) began later than the U.S. and Europe. Early contributions in the 1970s included automated theorem proving, logic reasoning, search, and ...

School of Mathematics and Statistics, Hainan Normal University, Haikou, China. and Candès and Recht [5] proved that under suitable conditions, the program (1) and (2) are formally equivalent in the ...