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Classification methods for Hilbert data based on surrogate density [PDF]
, 2016 An unsupervised and a supervised classification approaches for Hilbert random curves are studied. Both rest on the use of a surrogate of the probability density which is defined, in a distribution-free mixture context, from an asymptotic factorization of
Bongiorno, Enea G., Goia, Aldo
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Small ball probabilities for the Slepian Gaussian fields [PDF]
Transactions of the American Mathematical Society, 2006 The d d -dimensional Slepian Gaussian random field { S ( t ) , t ∈ R + d } \{S({\mathbf {t}}), {\mathbf {t}} \in \mathbb {R}_+^d\}
Gao, Fuchang, Li, Wenbo V.
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Small ball probabilities, metric entropy and Gaussian rough paths [PDF]
Journal of Mathematical Analysis and Applications, 2022 We study the Small Ball Probabilities (SBPs) of Gaussian rough paths. While many works on rough paths study the Large Deviations Principles (LDPs) for stochastic processes driven by Gaussian rough paths, it is a noticeable gap in the literature that SBPs have not been extended to the rough path framework.
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Mapping collective variable and synergy dynamics to task outcome in a perceptual-motor skill.
PLoS ONE, 2019 In complex adaptive systems approaches to perceptual-motor control the mapping between the different categories of task dynamics: namely, task outcome, collective variable, neuromuscular synergies and individual joint configurations is a central ...
Yeou-Teh Liu +2 more
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Small-Ball Probabilities for the Volume of Random Convex Sets [PDF]
Discrete & Computational Geometry, 2013 The authors prove several interesting small-deviation estimates for the volume of random convex sets in \(\mathbb R^n\). Typical models involve convex hulls or Minkowski sums of line segments generated by independent random points. The random models considered include absolutely continuous probability measures (wrt Lebesgue measure) with bounded ...
Paouris, Grigoris, Pivovarov, Peter
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Geofluids, 2021 In this study, a detailed analysis was conducted to evaluate the impacts of the deviatoric stress component and spherical stress component on the stability of surrounding rocks in the roadway via the theoretical analysis and calculation and numerical ...
Liu Rui, Zhu Quanjie
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Log-level comparison principle for small ball probabilities [PDF]
Statistics & Probability Letters, 2009 We prove a new variant of comparison principle for logarithmic $L_2$-small ball probabilities of Gaussian processes. As an application, we obtain logarithmic small ball asymptotics for some well-known processes with smooth covariances.
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Quantitative invertibility of random matrices: a combinatorial perspective
Discrete Analysis, 2021 Quantitative invertibility of random matrices: a combinatorial perspective, Discrete Analysis 2021:10, 38 pp. This paper concerns the general and much studied question of how likely a large random real or complex square matrix is to be invertible, and ...
Vishesh Jain
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Endoscopic and Surgical Removal of Gastrointestinal Foreign Bodies in Dogs: An Analysis of 72 Cases
Animals, 2022 In emergency veterinary practice, gastrointestinal foreign body (GFB) removal is a common procedure that is performed with different techniques, such as endoscopy or surgery.
Cristina Di Palma +10 more
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Single Functional Index Quantile Regression for Functional Data with Missing Data at Random
Ekonometria, 2023 The primary goal of this research was to estimate the quantile of a conditional distribution using a semi-parametric approach in the presence of randomly missing data, where the predictor variable belongs to a semi-metric space.
Nadia Kadiri +2 more
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