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Extreme-value statistics from Lagrangian convex hull analysis for homogeneous turbulent Boussinesq convection and MHD convection [PDF]

open access: yesNew Journal of Physics, 2017
We investigate the utility of the convex hull of many Lagrangian tracers to analyze transport properties of turbulent flows with different anisotropy. In direct numerical simulations of statistically homogeneous and stationary Navier–Stokes turbulence ...
J Pratt   +4 more
doaj   +6 more sources

Anomaly Detection Based on Convex Analysis: A Survey

open access: yesFrontiers in Physics, 2022
As a crucial technique for identifying irregular samples or outlier patterns, anomaly detection has broad applications in many fields. Convex analysis (CA) is one of the fundamental methods used in anomaly detection, which contributes to the robust ...
Tong Wang   +8 more
doaj   +1 more source

Sparse Regularized Optimal Transport with Deformed q-Entropy

open access: yesEntropy, 2022
Optimal transport is a mathematical tool that has been a widely used to measure the distance between two probability distributions. To mitigate the cubic computational complexity of the vanilla formulation of the optimal transport problem, regularized ...
Han Bao, Shinsaku Sakaue
doaj   +1 more source

Sharpening Sparse Regularizers via Smoothing

open access: yesIEEE Open Journal of Signal Processing, 2021
Non-convex sparsity-inducing penalties outperform their convex counterparts, but generally sacrifice the cost function convexity. As a middle ground, we propose the sharpening sparse regularizers (SSR) framework to design non-separable non-convex ...
Abdullah H. Al-Shabili   +2 more
doaj   +1 more source

AutoBar: Automatic Barrier Coverage Formation for Danger Keep Out Applications in Smart City

open access: yesSensors, 2023
Barrier coverage is a fundamental application in wireless sensor networks, which are widely used for smart cities. In applications, the sensors form a barrier for the intruders and protect an area through intrusion detection.
Ying Shao   +8 more
doaj   +1 more source

An exact one-particle theory of bosonic excitations: from a generalized Hohenberg–Kohn theorem to convexified N-representability

open access: yesNew Journal of Physics, 2023
Motivated by the Penrose–Onsager criterion for Bose–Einstein condensation we propose a functional theory for targeting low-lying excitation energies of bosonic quantum systems through the one-particle picture.
Julia Liebert, Christian Schilling
doaj   +1 more source

Convergence of online learning algorithm with a parameterized loss

open access: yesAIMS Mathematics, 2022
The research on the learning performance of machine learning algorithms is one of the important contents of machine learning theory, and the selection of loss function is one of the important factors affecting the learning performance.
Shuhua Wang
doaj   +1 more source

On the sufficiency of K-positivity for truncated compactly supported generalized moment problems

open access: yesExamples and Counterexamples, 2021
Given a compact set K and a finite set of continuous basis functions, the truncated generalized K-moment problem asks for a characterization of all sequences that can be obtained as moments, with respect to the basis functions, of some nonnegative ...
Axel Ringh
doaj   +1 more source

Sensitivity Analysis for Mirror-Stratifiable Convex Functions [PDF]

open access: yes, 2018
This paper provides a set of sensitivity analysis and activity identification results for a class of convex functions with a strong geometric structure, that we coined "mirror-stratifiable".
Fadili, Jalal   +2 more
core   +4 more sources

General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities

open access: yesAnais da Academia Brasileira de Ciências, 2005
We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided.
Jurandir Ceccon, Marcos Montenegro
doaj   +1 more source

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