A non parametric approach for calibration with functional data

Abstract

International audienceA new nonparametric approach for statistical calibration with functional data is studied. The practical motivation comes from calibration problems in chemometrics in which a scalar random variable Y needs to be predicted from a functional random variable X. The proposed predictor takes the form of a weighted average of the observed values of Y in the training data set, where the weights are determined by the conditional probability density of X given Y. This functional density, which represents the data generation mechanism in the context of calibration , is so incorporated as a key information into the estimator. The new proposal is computationally simple and easy to implement. Its statistical consistency is proved, and its relevance is shown through simulations and an application to data

Structural interconnections and the role of heptagonal rings in endohedral trimetallic nitride template fullerenes

“…The role of nonclassical isomers in empty fullerene growth has been modeled, [64] and one-heptagon isomers have been proposed to contribute to the high relative abundance of I h -symmetrical C 60 , since this isomer can be formed by C 2 insertion into the most stable one-heptagon isomer of C 58 . [64] Theoretical study showed that nonclassical isomers of C 68 containing a heptagon play a key role in the formation of fullerene C 70 and fullerene derivative C 68 Cl 6 . [65] In the map shown in Figure 2, the cage C 80 :31924, the parent of many EMFs, is similarly related by C 2 insertion to the one-heptagon isomer C 1h 78 :185809.…”

Dermoscopic findings of vulvar intraepithelial neoplasia: a series of four cases

“…The 'usual', HPV-related, pigmented VIN (case 4) showed well-demarcated borders and parallel pigmented dots, which may also be observed in pigmented BD (aligned pigmented globules also representing a dermoscopic feature of labial lentigo simplex). [12][13][14][15] However, the presence of a cerebriform pattern, detected by Ronger-Savle et al on pigmented VIN, 8 suggested the diagnosis of VIN, which was confirmed by histopathology.…”

Technical Drawing Learning Tool‐Level 2: An interactive self‐learning tool for teaching manufacturing dimensioning

“…Several works are related to the importance of free hand sketching in engineering design [3,11,12], or to the development of workshops or whole courses for the improving of spatial visualization abilities through the use of sketches and CAD modeling software [13][14][15][16]. In different works, there are also presented multimedia or webbased tools, properly developed, aimed at improving students' visualization or sketching abilities [17][18][19][20][21][22][23]. On the other hand, there are a few works focused on teaching and helping students to learn how to dimension an object or a mechanical workpiece.…”