Results 21 to 30 of about 1,758,675 (318)

Hausdorff dimension, heavy tails, and generalization in neural networks [PDF]

open access: yesNeural Information Processing Systems, 2020
Despite its success in a wide range of applications, characterizing the generalization properties of stochastic gradient descent (SGD) in non-convex deep learning problems is still an important challenge.
Umut Simsekli   +3 more
semanticscholar   +1 more source

Robust Regression with Covariate Filtering: Heavy Tails and Adversarial Contamination [PDF]

open access: yesJournal of the American Statistical Association, 2020
We study the problem of linear regression where both covariates and responses are potentially (i) heavy-tailed and (ii) adversarially contaminated.
Ankit Pensia, Varun Jog, Po-Ling Loh
semanticscholar   +1 more source

Revisiting and Modeling Power-Law Distributions in Empirical Outage Data of Power Systems

open access: yesPRX Energy, 2023
The size distributions of planned and forced outages and their restoration times in power systems have been studied for almost two decades and have drawn great interest as they display heavy tails.
Bálint Hartmann   +3 more
doaj   +1 more source

How close are time series to power tail L\'evy diffusions? [PDF]

open access: yes, 2017
This article presents a new and easily implementable method to quantify the so-called coupling distance between the law of a time series and the law of a differential equation driven by Markovian additive jump noise with heavy-tailed jumps, such as ...
Brown, André EX   +11 more
core   +4 more sources

Data on metal accumulation in the tails of the lizard Microlophus atacamensis in a coastal zone of the Atacama Desert, northern Chile: A non-destructive biomonitoring tool for heavy metal pollution

open access: yesData in Brief, 2020
In this data article, we investigated the accumulation of heavy metals in the lizard Microlophus atacamensis, in three coastal areas of the Atacama Desert, northern Chile. We captured lizards in a non-intervened area (Parque Nacional Pan de Azucar, PAZ),
Yery Marambio-Alfaro   +8 more
doaj   +1 more source

Estimation of heavy tails in optical non-linear processes

open access: yesNew Journal of Physics, 2021
In optical non-linear processes, rogue waves can be observed, which can be mathematically described by heavy-tailed distributions. These distributions are special since the probability of registering extremely high intensities is significantly higher ...
Éva Rácz   +2 more
doaj   +1 more source

Ordered random walks with heavy tails [PDF]

open access: yes, 2011
This note continues paper of Denisov and Wachtel (2010), where we have constructed a $k$-dimensional random walk conditioned to stay in the Weyl chamber of type $A$.
Denisov, Denis, Wachtel, Vitali
core   +7 more sources

Heavy‐tailed densities [PDF]

open access: yesWIREs Computational Statistics, 2012
AbstractThe concept of heavy‐ or long‐tailed densities (or distributions) has attracted much well‐deserved attention in the literature. A quick search in Google using the keywords long‐tailed statistics retrieves almost 12 million items. The concept has become a pillar of the theory of extremes, and through its connection with outlier‐prone ...
openaire   +3 more sources

Extremal behavior of stochastic volatility models [PDF]

open access: yes, 2005
Empirical volatility changes in time and exhibits tails, which are heavier than normal. Moreover, empirical volatility has - sometimes quite substantial - upwards jumps and clusters on high levels.
Fasen, V.   +2 more
core   +2 more sources

Reduced branching processes with very heavy tails [PDF]

open access: yes, 2007
The reduced Markov branching process is a stochastic model for the genealogy of an unstructured biological population. Its limit behavior in the critical case is well studied for the Zolotarev-Slack regularity parameter $\alpha\in(0,1]$.
Lagerås, Andreas N., Sagitov, Serik
core   +1 more source

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