Results 61 to 70 of about 10,766,943 (330)
A Theory of Hyperbolic Prototype Learning [PDF]
We introduce Hyperbolic Prototype Learning, a type of supervised learning, where class labels are represented by ideal points (points at infinity) in hyperbolic space. Learning is achieved by minimizing the 'penalized Busemann loss', a new loss function based on the Busemann function of hyperbolic geometry.
arxiv
Quadratic Dynamics Over Hyperbolic Numbers [PDF]
Hyperbolic numbers are a variation of complex numbers, but their dynamics is quite different. The hyperbolic Mandelbrot set for quadratic functions over hyperbolic numbers is simply a filled square, and the filled Julia set for hyperbolic parameters inside the hyperbolic Mandelbrot set is a filled rectangle.
arxiv
Abstract Objectives An increasing body of evidence indicates altered DNA methylation in Parkinson's disease, yet the reproducibility and utility of such methylation changes are largely unexplored. We aimed to further elucidate the role of dysregulated DNA methylation in Parkinson's disease and to evaluate the biomarker potential of methylation‐based ...
Ingeborg Haugesag Lie+4 more
wiley +1 more source
New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions
In this paper, we present new inequalities which reveal further relationship for both the inverse tangent function arctan ( x ) $\arctan (x)$ and the inverse hyperbolic function arctanh ( x ) $\operatorname{arctanh}(x)$ .
Xiao-Diao Chen, Long Nie, Wangkang Huang
doaj +1 more source
ABSTRACT Objective Post‐discharge management and outcomes of acute symptomatic seizures (ASyS) remain underexplored. We analyzed post‐discharge ASM management and outcomes in ASyS patients undergoing continuous EEG (cEEG), including the role of outpatient care through a post‐acute symptomatic seizure (PASS) clinic. Methods We performed a single‐center,
Vineet Punia+10 more
wiley +1 more source
Studying Stability of a Non-linear Autoregressive Model [PDF]
In this paper we study the stability of one non-linear autoregressive model with hyperbolic triangle function polynomial with hyperbolic tangent function (singular point and it's stability conditions and the stability of the limit cycle) by using the ...
Anas Salim Youns+1 more
doaj +1 more source
The Semi-Hyperbolic Distribution and Its Applications
This paper studies a subclass of the class of generalized hyperbolic distribution called the semi-hyperbolic distribution. We obtain analytical expressions for the cumulative distribution function and, specifically, their first and second lower partial ...
Roman V. Ivanov
doaj +1 more source
Integrals of Hyperbolic Tangent Function [PDF]
By means of the contour integration method, we evaluate, in closed form, a class of definite integrals involving hyperbolic tangent function.
arxiv
Juvenile Idiopathic Arthritis, Earnings, and Work Loss: A Nationwide Matched Cohort Study
Objective This study compares trajectories of earnings and work loss in individuals with juvenile idiopathic arthritis (JIA) versus matched comparators from the general population. Methods Patients with JIA (n = 4,737) were identified in the Swedish National Patient Register (2001–2017) and individually matched to up to five general population ...
Heather Miller+4 more
wiley +1 more source
This article presents an optimal tracking controller retrofitted with a nonlinear adaptive integral compensator, specifically designed to ensure robust and accurate positioning of Vertical Take-Off and Landing (VTOL) Unmanned Aerial Vehicles (UAVs) that ...
Omer Saleem+2 more
doaj +1 more source