Smoothing orientation data is a fundamental task in different fields of research. Different methods of smoothing time series in quaternion algebras have been described in the literature, but their application is still an open point. This paper develops a smoothing approach for smoothing quaternion time series to obtain good performance in classification problems. Starting from an existing method which involves an angular velocity transformation of unit quaternion time series, a new method which employ the logarithm function to transform the quaternion time series to a real three-dimensional time series is proposed. Empirical evidences achieved on real data set and artificially noisy data sets confirm the effectiveness of the proposed method compared with the classical approach based on angular velocity transformation. The R functions developed for this paper will be provided in a Github repository.

Ketogenic dietary therapies (KDTs) are an effective and safe non-pharmacological treatment for drug-resistant epilepsy, but adherence can be challenging for both patients and caregivers. In Europe, there are no adequate tools to measure it other than monitoring ketosis. This study aimed to adapt and validate the Brazilian adherence questionnaire, Keto-check, into the Italian version: iKetoCheck. Using the Delphi technique, 12 judges validated the contents through agreement rates and the Content Validity Index (CVI). The iKetocheck was self-completed electronically by 61 drug-resistant epilepsy or GLUT1 deficiency patients within an interval of 15 days to measure its reproducibility. The test–retest reliability was evaluated using Pearson’s correlation and relative significance test. Exploratory and confirmatory factorial analyses were made using Factor software version 12.03.02. The final tool, iKetoCheck, consists of 10 questions with 5-point Likert scale answers. It evaluates various aspects such as informing caregivers about the diet, organization of meals, measurement of ketosis, weighing food consumed, diet negligence, use of carbohydrate-free medications, attending follow-up visits, reading food labels, consulting an expert for dietary concerns, and cooking at home. The factorial analysis resulted in three factors: “attention,” “organization,” and “precision,” with satisfactory results for indices in exploratory and confirmatory analyses. Although higher mean values of ketonemia measurement were observed in patients with a higher adherence score, these values were not statistically significant (p = 0.284). In conclusion, despite the small sample size, iKetoCheck is a valid tool for evaluating KDTs’ adherence in Italian drug-resistant epilepsy or GLUT1 deficiency patients. It can provide valuable information to improve patient management and optimize the effectiveness of KDTs.

Background/Objectives: Research is lacking about the development of personality disorders (PDs) from adolescence to early adulthood. This study aimed to characterize the profile of high-risk adolescents compared to adolescents with full-blown PDs and adolescents with other psychiatric disorders and to identify clinical markers that constitute a risk profile. Methods: We evaluated 99 adolescents (12–17 years old) through DSM-5-based semi-structured interviews, questionnaires, cognitive tasks, and scales regarding functioning and disorder severity. We divided patients into three groups: 22 adolescents with full-blown personality disorder (FBPD), 57 adolescents at high risk for personality disorders (HPD), and 20 adolescents with other DSM-5 psychiatric disorders (OTH). At follow-up, 56 patients completed the assessment. Possible developmental trajectories of FBPD and HPD patients were remission (total or partial) of PD-related symptoms, stability of symptoms, or transition from HPD to FBPD. Results: FBPD adolescents had more impaired family backgrounds. At baseline, the HPD group was mainly composed of female patients, younger than the FBPD ones. Externalizing symptoms may represent prodromal symptoms of FBPD. High-risk patients who made the transition were younger than those who did not, and their mothers reported higher internalizing symptoms at baseline. None of the FBPD patients remitted. Conclusions: These findings support the hypothesis of a PD “at-risk mental state” and the importance of the implementation of PD early detection and treatment in adolescents, regardless of patient age.

Ketogenic dietary therapies (KDTs) are an effective and safe non-pharmacological treatment for drug-resistant epilepsy, but adherence can be challenging for both patients and caregivers. In Europe, there are no adequate tools to measure it other than monitoring ketosis. This study aimed to adapt and validate the Brazilian adherence questionnaire, Keto-check, into the Italian version: iKetoCheck. Using the Delphi technique, 12 judges validated the contents through agreement rate and the Content Validity Index (CVI). The iKetocheck was self-completed electronically by drug-resistant epilepsy or GLUT1 deficiency patients within an interval of 15 days to measure its reproducibility. Test-retest reliability was evaluated using Pearson correlation and relative significance test. Exploratory and confirmatory factorial analyses were made using Factor software. The final tool, iKetoCheck, consists of 10 questions with 5-point Likert scale answers. It evaluates various aspects such as informing caregivers about the diet, organization of meals, measurement of ketosis, weighing food consumed, diet negligence, use of carbohydrate-free medications, attending follow-up visits, reading food labels, consulting an expert for dietary concerns, and cooking at home. The factorial analysis resulted in three factors: "attention," "organization," and "precision," with satisfactory results for indices in exploratory and confirmatory analyses. Although higher mean values of ketonemia measurement were observed in patients with a higher adherence score, these values were not statistically significant (p=0.284). In conclusion, iKetoCheck is a valid tool for evaluating KDTs' adherence in Italian drug-resistant epilepsy or GLUT1 deficiency patients. It can provide valuable information to improve patient management and optimize the effectiveness of KDTs.