|Undergraduate Institution:||The College of New Jersey, Department of Mathematics and Statistics|
Geometry of High-Dimensional Data
Mathematics of Cognitive Systems
|Project Name:||Mathematical Models of Cognitive Systems|
|Faculty Advisors:||Dr. Linda Ness, Telcordia Applied Research|
A cognitive system can be defined as any organized complex that can recieve inputs (usually a high number of them), synthesize and fuse collected data, and then export it in outputs (of a similarly complex manner). One common problem that arises when dealing with these systems is the extremely high volumes of data that is collected-- one must be able to interpret and understand such datasets if we are to hope to imitate cognitive systems.
Note: All such intervals of time will be denoted by semi-closed intervals [a,b), as to form a proper sigma-algebra.