Results 251 to 260 of about 128,737 (285)

Social Regularized Collaborative Metric Learning

2019 IEEE 21st International Conference on High Performance Computing and Communications; IEEE 17th International Conference on Smart City; IEEE 5th International Conference on Data Science and Systems (HPCC/SmartCity/DSS), 2019
In recommender systems, Collaborative Metric Learning (CML) which learns a joint metric space to encode not only users' preferences but also the user-user and item-item similarity has achieved superior performance in comparison with matrix factorization techniques.
Zhengxin Zhang, Qimin Zhou, Hua Zhao, Hao Wu   +3 more
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On Perturbation Stability of Metric Regularity

Set-Valued Analysis, 2001
Let \(F: X\to Y\), where \(X\) is a complete metric space and \(Y\) is a Banach space, be a closed set-valued map and let \(V(x):= \{y\in Y\mid d(y,F(x))\leq R\}\), where \(R\in[0,\infty)\), for \(x\in X\) (i.e. \(F\subset V\)). Suppose that \(F\) covers on \(V\) with constant not smaller than \(a> 0\), i.e., for any \(t> 0\) and \(x\in X\), \(V(x)\cap
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Towards Metric Theory of Metric Regularity

2001
It is shown that exact estimates for local metric regularity are obtained with the help of the slope introduced by De Giorgi-Marino-Tosques in 1980. Interrelation between the slope and subdifferentials are further analyzed.
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On Derivative Criteria for Metric Regularity

2013
We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper than previously known criterion for strong metric regularity involving the paratingent derivative.
Dontchev, Asen, Frankowska, Hélène
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Metric Regularity Through Generalized Derivatives

2014
In the wide-ranging generalizations we have been developing of the inverse function theorem and implicit function theorem, we have followed the idea that conclusions about a solution mapping, concerning the Aubin property, say, or the existence of a single-valued localization, can be drawn by confirming that some auxiliary solution mapping, obtained ...
Asen L. Dontchev, R. Tyrrell Rockafellar
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Metric Regularity in Infinite Dimensions

2014
The theme of this chapter has origins in the early days of functional analysis and the Banach open mapping theorem, which concerns continuous linear mappings from one Banach space to another. The graphs of such mappings are subspaces of the product of the two Banach spaces, but remarkably much of the classical theory extends to set-valued mappings ...
Asen L. Dontchev, R. Tyrrell Rockafellar
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Metric regularity and subdifferential calculus

Russian Mathematical Surveys, 2000
Let \(X\) and \(Y\) be complete metric spaces. The closed-set-valued mapping \(F: X\Rightarrow Y\) is called \textit{metrically regular} on the set \(V\subset X\times Y\) if there exists a number \(K>0\) such that \[ d(x, F^{-1}(y))\leq K\cdot d(y, F(x))\quad \forall(x,y)\in V. \] This notion is closely connected with important principles of smooth and
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Metric regularity

2023
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Metric Regularity

2021
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