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Well-Posedness and Porosity

2010
We recall the concept of porosity [10, 26, 27, 84, 97, 98, 112]. Let (Y, d) be a complete metric space. We denote by Bd(y, r) the closed ball of center \(y\ \in\ Y,\) and radius r > 0. A subset \(E \subset Y\) is called porous with respect to d (or just porous if the metric is understood) if there exist \(\alpha \in\) (0, 1] and r0 > 0 such that for ...
openaire   +1 more source

Well-posedness of Nonconvex Integral Functionals

Proceedings of the 44th IEEE Conference on Decision and Control, 2004
We find a sufficient condition which does not involve global convexity, guaranteeing well-posedness in a strong sense of the minimization of a multiple integral on the Sobolev space $W^{1,1}(\Omega;\mathbb{R}^m)$ with boundary datum equal to zero. In particular we apply our result to some nonconvex problems recently studied: functionals depending only ...
openaire   +2 more sources

Deep Learning on Monocular Object Pose Detection and Tracking: A Comprehensive Overview

ACM Computing Surveys, 2023
Hongyan Liu, Jun He, Zhaoxin Fan
exaly  

AlphaPose: Whole-Body Regional Multi-Person Pose Estimation and Tracking in Real-Time

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Hao-Shu Fang, Cewu Lu, Yong-Lu Li
exaly  

Simultaneously-Collected Multimodal Lying Pose Dataset: Enabling In-Bed Human Pose Monitoring

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Sarah Ostadabbas   +2 more
exaly  

LCR-Net++: Multi-Person 2D and 3D Pose Detection in Natural Images

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020
Gregory Rogez, Philippe Weinzaepfel
exaly  

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