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Compact and Interpretable Neural Networks Using Lehmer Activation Units. [PDF]

Entropy (Basel)
Ataei M, Forouzi S, Wang X.
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Set-Valued Mappings

2014
Chapter 9 is devoted to set-valued mappings. We study approximate fixed points of such mappings, existence of fixed points, and the convergence and stability of iterates of set-valued mappings. In particular, we consider a complete metric space of nonexpansive set-valued mappings acting on a closed and convex subset of a Banach space with a nonempty ...
Simeon Reich, Alexander J. Zaslavski
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A multi-algorithm block fusion method based on set-valued mapping for dual-modal infrared images

Infrared physics & technology, 2019
It is always a goal to make use of difference-features between infrared intensity and polarization (degree of polarization) images to drive selection of targeted algorithms rather than using fixed algorithm, and improve the fusion efficiency under the ...
Peng Hu, Fengbao Yang, Hong Wei, Linna Ji, Dan Liu   +4 more
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Minimax Theorems for Set-Valued Mappings

Journal of Optimization Theory and Applications, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, S. J., Chen, G. Y., Lee, G. M.
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On Subdifferentials of Set-Valued Maps

Journal of Optimization Theory and Applications, 1999
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Baier, J., Jahn, J.
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Set-valued mappings

1998
Here we deal with some properties of set-valued mappings. These properties will be applied in our further considerations. The notion of a setvalued mapping is a generalization (in a certain sense) of the notion of an ordinary mapping. First, let us recall that a set-valued mapping (or a multi-valued mapping, or a multi-valued function) is a mapping of ...
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Set-Valued Maps

2008
In robust control theory, an uncertain dynamical system is described by a set of models rather than a single model. For example, a system with an unknown parameter generates a set of models, one for each possible value of the parameter; likewise for a system with an unknown disturbance (which can be a function of time as well as state variables and ...
Randy A. Freeman, Petar Kokotović
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Cosmically Lipschitz Set-Valued Mappings

Set-Valued Analysis, 2002
In view of applications to necessary optimality conditions in optimal control, to the theory of Hamilton-Jacobi equations and to invariant sets for differential inclusions, the author proves a large number of results (some 9 theorems, 6 propositions and 8 lemmas) concerning, mainly, the so-called ``cosmic Lipschitzianity'' of set-valued mappings ...
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Convexity Criteria for Set-Valued Maps

Set-Valued Analysis, 1997
The paper gives necessary and sufficient conditions for a set-valued function \(F\) between Banach spaces \(X\) and \(Y\) to be convex with respect to a convex cone \(K\subset Y\), i.e., to satisfy \[ tF(x_1)+ (1-t)F(x_2)\subset\text{cl}(F(tx_1+ (1-t)x_2)),\quad x_1,x_2\in X,\quad t\in[0,1].
Pham Huu Sach, Nguyen Dong Yen
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