2017/03/27 by Ignacio Cascos, Ilya Molchanov, Cascos, Ignacio +1
Decision Sciences · Engineering · Mathematics · #FOS: Mathematics #Numerical methods in inverse problems #Probabilistic and Robust Engineering Design #Statistics Theory (math.ST) #Structural Health Monitoring Techniques
paper · pdf · doi:10.48550/arxiv.1703.09269
openalex publication_date 2017/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Bands of vector-valued functions f:T↦ℝd are defined by considering convex hulls generated by their values concatenated at m different values of the argument. The obtained m-bands are families of functions, ranging from the conventional band in case the time points are individually considered (for m=1) to the convex hull in the functional space if the number m of simultaneously considered time points becomes large enough to fill the whole time domain. These bands give rise to a depth concept that is new both for real-valued and vector-valued functions.