scholarly journals Talagrand concentration inequalities for stochastic heat-type equations under uniform distance

2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Shijie Shang ◽  
Tusheng Zhang
2010 ◽  
Vol 26 (6) ◽  
pp. 1042-1050 ◽  
Author(s):  
Mark Cummins ◽  
Paul Newman

2017 ◽  
Vol 75 (4) ◽  
pp. 677-696 ◽  
Author(s):  
Joe Klobusicky ◽  
Govind Menon

2019 ◽  
Author(s):  
J.M. Gorriz ◽  
◽  
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ABSTRACTIn the 70s a novel branch of statistics emerged focusing its effort in selecting a function in the pattern recognition problem, which fulfils a definite relationship between the quality of the approximation and its complexity. These data-driven approaches are mainly devoted to problems of estimating dependencies with limited sample sizes and comprise all the empirical out-of sample generalization approaches, e.g. cross validation (CV) approaches. Although the latter are not designed for testing competing hypothesis or comparing different models in neuroimaging, there are a number of theoretical developments within this theory which could be employed to derive a Statistical Agnostic (non-parametric) Mapping (SAM) at voxel or multi-voxel level. Moreover, SAMs could relieve i) the problem of instability in limited sample sizes when estimating the actual risk via the CV approaches, e.g. large error bars, and provide ii) an alternative way of Family-wise-error (FWE) corrected p-value maps in inferential statistics for hypothesis testing. In this sense, we propose a novel framework in neuroimaging based on concentration inequalities, which results in (i) a rigorous development for model validation with a small sample/dimension ratio, and (ii) a less-conservative procedure than FWE p-value correction, to determine the brain significance maps from the inferences made using small upper bounds of the actual risk.


2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Luca Avena ◽  
Yuki Chino ◽  
Conrado da Costa ◽  
Frank den Hollander

Author(s):  
Adedotun Oluwakanyinsola Owojori ◽  
Ibukunoluwa A. Adebanjo ◽  
Samson A. Oyetunji

Considering a system capable of identifying abnormalities in people's walking conditions in real-time, simply by studying his/her walking profile over a short period of time is a phenomenal breakthrough in the field of biotechnology. Such abnormalities could be as a result of injury, old age, or disease termed gait which could be analyzed using the pressure mapping technology. Pressure points in the feet of an injured person as he/she walks is analyzed by sets of sensors (capacitive sensors) carefully design with a rectangular 5.1cm by 2cm parallel aluminium plate and placed on developed footwear with a uniform distance of 1cm across the dielectric material. The output of the pre-processing stage gives varying values which are calibrated and sent to the microcontroller. All placed on a portable sized Printed Circuit Board (PCB) making it moveable from one place to another (that is, mobile), is the pre-processing circuit that converts measured or evaluated result to the transmittable signal through a Mobile Communication System which can be received on a Personal Computer (PC) in form of a periodic chat and/ or report. The result of the analysis is shown both in simulation and hardware implementation of the system


2003 ◽  
Vol 17 (2) ◽  
pp. 177-192
Author(s):  
William Sayers

Common Romance terms underlie naval maneuvering in the thirteenth-century Mediterranean, although a distinctive Catalan vocabulary emerged early on. Afrenellar was used of linking galleys at stem and stern by cables in order to keep ships at a uniform distance. Historians have speculated that this notion of “bridling” was extended to oar handling. Galley oars would have been drawn in amidships, reversed, then extended to adjacent vessels and lashed in place to create impromptu fighting platforms and block the passage of enemy ships. Yet in the documented instances, the bridle or check in question is a simple device placed over the looms to hold the raised oar at a uniform height from the sea surface, prompting the Venetian image of a galley as a double comb. Historical speculation on the naval encounters of the War of the Sicilian Vespers must be informed by an accurate understanding of the technical vocabulary.


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