Comments on Bartolino et al. (2011): limits of cumulative relative frequency distribution curves for hotspot identification

2011 ◽  
Vol 53 (4) ◽  
pp. 597-601 ◽  
Author(s):  
Luis Cayuela ◽  
Lucía Gálvez-Bravo ◽  
Luis María Carrascal ◽  
Fábio S. de Albuquerque
2020 ◽  
Vol 10 (19) ◽  
pp. 6977
Author(s):  
Renato Macciotta ◽  
Chris Gräpel ◽  
Roger Skirrow

The design of rockfall protection structures requires information about the falling block volumes. Computational tools for rockfall trajectory simulation are now capable of modeling block fragmentation, requiring the fragmented volume-relative frequency distribution of rockfalls as input. This can be challenging at locations with scarce or nonexistent rockfall records and where block surveys are not feasible. The work in this paper shows that simple discrete fracture network realizations from structural mapping based on photogrammetric techniques can be used to reliably estimate rock fall block volumes. These estimates can be used for dimensioning rockfall protection structures in cases where data is scarce or not available. The methodology is tested at two sites in the Canadian Cordillera where limestone outcrops have been the source of recurrent rockfalls. The results suggest that fragmentation will largely tend to occur through weak planes and expansion of non-persistent discontinuities, while other block breakage mechanisms exert less influence in the fragmented volume-relative frequency distribution of rockfalls. Therefore, block volume distribution can be estimated using a simple discrete fracture network (DFN) with fully persistent discontinuities. Limitations of the methods are also discussed, as well as potential future research to address such limitations.


2018 ◽  
Vol 22 (4) ◽  
pp. 597-610
Author(s):  
David Torres ◽  
Jorge Crichigno ◽  
Carmella Sanchez

A Monte Carlo algorithm is designed to predict the average time to graduate by enrolling virtual students in a degree plan. The algorithm can be used to improve graduation rates by identifying bottlenecks in a degree plan (e.g., low pass rate courses and prerequisites). Random numbers are used to determine whether students pass or fail classes by comparing them to institutional pass rates. Courses cannot be taken unless prerequisites and corequisites are satisfied. The output of the algorithm generates a relative frequency distribution which plots the number of students who graduate by semester. Pass rates of courses can be changed to determine the courses that have the greatest impact on the time to graduate. Prerequisites can also be removed to determine whether certain prerequisites significantly affect the time to graduate.


1974 ◽  
Vol 4 (3) ◽  
pp. 341-348 ◽  
Author(s):  
J. P. Demaerschalk ◽  
A. Kozak

Techniques are developed for more effective sampling for simple linear regression, making use of the relative frequency distribution of the observations over the range of the independent variable. A basis for testing the efficiency of a given sampling design is also provided.


1971 ◽  
Vol 21 (5) ◽  
pp. 832-836
Author(s):  
W. W. Bond ◽  
M. S. Favero ◽  
N. J. Petersen ◽  
J. H. Marshall

EP Europace ◽  
2020 ◽  
Vol 22 (Supplement_1) ◽  
Author(s):  
A Heida ◽  
W F B Van Der Does ◽  
Y J H J Taverne ◽  
M C Roos ◽  
A J J C Bogers ◽  
...  

Abstract Funding Acknowledgements CVON-AFFIP (914728), NWO-Vidi (91717339), Biosense Webster USA (ICD 783454) and Medical Delta. Background At present, it is unknown if intra-atrial conduction during sinus rhythm (SR) is influenced by prior atrial fibrillation (AF) episodes or by various underlying heart diseases (UHD). However, it is considered that structural and electrical remodeled atria contain more conduction abnormalities and prolonged conduction times (CTs). Purpose To determine the impact of AF episodes on conduction abnormalities and to distinguish conduction abnormalities between patients with ischemic heart disease (IHD), (ischemic and) valvular heart disease ((i)VHD) and congenital heart disease (CHD) by performing intraoperative high-resolution epicardial mapping. Methods The study population consists of 447 participants (325 male, age: 67.2 (58.9 – 73.1) years) with or without an history of AF (resp. N = 375 vs. N = 75) undergoing elective open heart surgery for either IHD (N = 238), (i)VHD (N = 169) or CHD (N = 40). High-resolution epicardial mapping of the right atrium (RA), Bachmann’s Bundle (BB), left atrium (LA) and pulmonary vein area (PVA) was performed during SR using a unipolar 128/192-electrode array (interelectrode distance: 2mm). Inter-electrode CTs (Δ local activation time between two adjacent electrodes) were quantified as the relative frequency distribution of CTs, cumulative incidence of CTs per patient (%) and the severity of CTs (%). Results Prior AF episodes were associated with prolongation of CTs (p < 0.05). Patients with AF had a higher cumulative incidence of CTs ≥4ms throughout both atria, with a predilection site at BB and LA (p < 0.05). In the RA, conduction delays ≥48 ms were more present in patients with AF (44.0% versus 30.7%, p = 0.03), whereas in BB patients with AF already had more prolonged conduction delays ³16 ms (91.8% versus 81.2%, p = 0.03). The relative frequency distribution of CTs did not differ between IHD, (i)VHD and CHD. Differences in the cumulative incidence of CTs between the three UHD were solely found at BB; patients with (i)VHD more frequently had incidence of CTs ³6ms than patients with IHD (p < 0.017). However, conduction delays were more pronounced in patients with CHD (≈≥30 – ≥84 ms) and with (i)VHD (≥72 – ≥84 ms)(p < 0.017). Also, more patients with (i)VHD had prolonged conduction delays (≥24 – ≥34 ms) than patients with IHD (p < 0.017). Conclusions Patients with AF had more and severer conduction abnormalities than patients without AF. Comparing the three UHD, mainly BB was affected by conduction abnormalities. (i)VHD was associated with more conduction abnormalities than IHD. Most severe conduction abnormalities were found in patients with CHD compared to both patients with IHD and (i)VHD. These findings indicate that the arrhythmogenic substrate is affected most by prior AF episodes, (i)VHD and CHD, and particularly present at BB.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Farrokh Habibzadeh ◽  
Parham Habibzadeh ◽  
Mahboobeh Yadollahie ◽  
Hooman Roozbehi

AbstractClassification tasks are a common challenge to every field of science. To correctly interpret the results provided by a classifier, we need to know the performance indices of the classifier including its sensitivity, specificity, the most appropriate cut-off value (for continuous classifiers), etc. Typically, several studies should be conducted to find all these indices. Herein, we show that they already exist, hidden in the distribution of the variable used to classify, and can readily be harvested. An educated guess about the distribution of the variable used to classify in each class would help us to decompose the frequency distribution of the variable in population into its components—the probability density function of the variable in each class. Based on the harvested parameters, we can then calculate the performance indices of the classifier. As a case study, we applied the technique to the relative frequency distribution of prostate-specific antigen, a biomarker commonly used in medicine for the diagnosis of prostate cancer. We used nonlinear curve fitting to decompose the variable relative frequency distribution into the probability density functions of the non-diseased and diseased people. The functions were then used to determine the performance indices of the classifier. Sensitivity, specificity, the most appropriate cut-off value, and likelihood ratios were calculated. The reference range of the biomarker and the prevalence of prostate cancer for various age groups were also calculated. The indices obtained were in good agreement with the values reported in previous studies. All these were done without being aware of the real health status of the individuals studied. The method is even applicable for conditions with no definite definitions (e.g., hypertension). We believe the method has a wide range of applications in many scientific fields.


1971 ◽  
Vol 21 (5) ◽  
pp. 832-836 ◽  
Author(s):  
W. W. Bond ◽  
M. S. Favero ◽  
N. J. Petersen ◽  
J. H. Marshall

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