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Fixed-Point Back-Propagation Training
Computer Vision and Pattern Recognition, 2020Recent emerged quantization technique (i.e., using low bit-width fixed-point data instead of high bit-width floating-point data) has been applied to inference of deep neural networks for fast and efficient execution.
Xishan Zhang +10 more
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Information Processing Letters, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C.J. Aarts +8 more
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gmj, 2002 Abstract Some fixed point theorems based on an asymptotic regularity condition have been obtained, which generalize the previously well-known results.
M. S. Khan +2 more
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Proceedings of the American Mathematical Society, 1982
In this paper, we develop a machine which enables us to predict, in many cases, the exact number of fixed points of a local diffeomorphism. Though much more general, our technique applies in particular to locally expansive maps on compact, connected, orientable differentiable manifolds.
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In this paper, we develop a machine which enables us to predict, in many cases, the exact number of fixed points of a local diffeomorphism. Though much more general, our technique applies in particular to locally expansive maps on compact, connected, orientable differentiable manifolds.
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2008
This article gives statements of the Tarski fixed point theorem and the main versions of the topological fixed point principle that have been ...
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This article gives statements of the Tarski fixed point theorem and the main versions of the topological fixed point principle that have been ...
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Proceedings of the American Mathematical Society, 1961
the importance of the following Problem. Let A : X—*Y be a mapping (not necessarily linear) of a topological space X into a topological space Y. Under what conditions is A (X) open in F? The aim of this paper is to give a particular solution of this problem in the case of mappings A : X—>X of a Banach space X into itself.
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the importance of the following Problem. Let A : X—*Y be a mapping (not necessarily linear) of a topological space X into a topological space Y. Under what conditions is A (X) open in F? The aim of this paper is to give a particular solution of this problem in the case of mappings A : X—>X of a Banach space X into itself.
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Fixed points of products and the strong fixed point property
Order, 1987The paper is motivated by the well known open problem: If ordered sets X and Y both have the fixed point property (fpp), will their product XY also have the fixed point property? The authors introduce what they call the strong fixed point property: An ordered set X has the strong fixed point property if there is an order preserving map \(\Phi\) of \(X^
Dwight Duffus, Norbert Sauer
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Incompleteness and Fixed Points
MLQ, 2002Summary: Our purpose is to present some connections between modal incompleteness and modal logics related to the Gödel-Löb logic GL. One of our goals is to prove that for all \(m,n,k,l \in\mathbb{N}\) the logic \(\text{K}+\bigwedge_{i=m}^n \square^i (\bigwedge^l_{j=k} \square^j p\leftrightarrow p)\to \bigwedge^n_{i=m} \square^ip\) is incomplete and ...
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Archiv der Mathematik, 1997
We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
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We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
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