Results 41 to 50 of about 85,681 (262)
Tempered time-fractional advection-dispersion equation for modeling non-Fickian transport
This study shows in detail how the classical time fractional advection-dispersion equation(TFADE) can be generalized using the concept of tempering.The generalized TFADE model is then approximated by a new spatiotemporal splitting method,which is ...
XIA Yuan, WU Jichun, ZHANG Yong
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Epilepsy Seizure Detection: A Heavy Tail Approach
Epilepsy is a chronic brain disorder that affects the quality of life of many patients even when this disease is being controlled. If we want to improve those lives affected, we need to perform real-time epilepsy detection with constant monitoring of the
Jesus G. Servin-Aguilar +4 more
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Optimal heavy tail estimation – Part 1: Order selection [PDF]
The tail probability, P, of the distribution of a variable is important for risk analysis of extremes. Many variables in complex geophysical systems show heavy tails, where P decreases with the value, x, of a variable as a power law with a ...
M. Mudelsee, M. Mudelsee, M. A. Bermejo
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Linear Regression for Heavy Tails [PDF]
There exist several estimators of the regression line in the simple linear regression: Least Squares, Least Absolute Deviation, Right Median, Theil–Sen, Weighted Balance, and Least Trimmed Squares. Their performance for heavy tails is compared below on the basis of a quadratic loss function.
Balkema, Guus, Embrechts, Paul
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Probability of ruin in discrete insurance risk model with dependent Pareto claims
We present basic properties and discuss potential insurance applications of a new class of probability distributions on positive integers with power law tails.
Constantinescu Corina D. +2 more
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The Heavy-Tail Phenomenon in SGD
In recent years, various notions of capacity and complexity have been proposed for characterizing the generalization properties of stochastic gradient descent (SGD) in deep learning. Some of the popular notions that correlate well with the performance on unseen data are (i) the `flatness' of the local minimum found by SGD, which is related to the ...
Gurbuzbalaban, Mert +2 more
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Heavy Tails in Program Structure
Designing and optimizing computer systems require deep understanding of the underlying system behavior. Historically many important observations that led to the development of essential hardware and software optimizations were driven by empirical observations about program behavior. In this paper, we report an interesting property of program structures
Hiroshi Sasaki 0001 +3 more
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In Tahe ultra-heavy oil block, the rod pump cannot meet the requirements of heavy oil pumping. Through the application of deep pumping electric pump for heavy oil and its coordination with tail pipe suspension, the development of ultra-heavy oil has ...
WANG Leilei +4 more
doaj
On Diagnostic Checking of Vector ARMA-GARCH Models with Gaussian and Student-t Innovations
This paper focuses on the diagnostic checking of vector ARMA (VARMA) models with multivariate GARCH errors. For a fitted VARMA-GARCH model with Gaussian or Student-t innovations, we derive the asymptotic distributions of autocorrelation matrices of the ...
Yongning Wang, Ruey S. Tsay
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The heavy tail of the human brain
Fluctuating oscillations are a ubiquitous feature of neurophysiology. Are the amplitude fluctuations of neural oscillations chance excursions drawn randomly from a normal distribution, or do they tell us more? Recent empirical research suggests that the occurrence of 'anomalous' (high amplitude) oscillations imbues their probability distributions with ...
Roberts, James A +2 more
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