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Fast and robust fixed-point algorithms for independent component analysis
- IEEE TRANS. NEURAL NETW
, 1999
"... Independent component analysis (ICA) is a statistical method for transforming an observed multidimensional random vector into components that are statistically as independent from each other as possible. In this paper, we use a combination of two different approaches for linear ICA: Comon’s informat ..."
Abstract
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Cited by 884 (34 self)
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variance. Finally, we introduce simple fixed-point algorithms for practical optimization of the contrast functions. These algorithms optimize the contrast functions very fast and reliably.
Fixed point..
"... Existence of mild solutions of initial value problem for nonlinear difference equation with nonlocal conditions is obtained. The proof relay on the fixed point theorem for compact mapping. ..."
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Existence of mild solutions of initial value problem for nonlinear difference equation with nonlocal conditions is obtained. The proof relay on the fixed point theorem for compact mapping.
Guarded Fixed Point Logic
, 1999
"... Guarded fixed point logics are obtained by adding least and greatest fixed points to the guarded fragments of firstorder logic that were recently introduced by Andr eka, van Benthem and N emeti. Guarded fixed point logics can also be viewed as the natural common extensions of the modal µ-calculus an ..."
Abstract
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Cited by 81 (6 self)
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Guarded fixed point logics are obtained by adding least and greatest fixed points to the guarded fragments of firstorder logic that were recently introduced by Andr eka, van Benthem and N emeti. Guarded fixed point logics can also be viewed as the natural common extensions of the modal µ
On Approximate Fixed Point Property and Fixed Points
"... Abstract: In this paper we will prove the existence of fixed points and approximate eigenvalues to certain type of nonexpansive mappings using the existence of ε-fixed points to these maps. Also we will prove that if a Banach space has approximate fixed point property, then its dense subset also has ..."
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Abstract: In this paper we will prove the existence of fixed points and approximate eigenvalues to certain type of nonexpansive mappings using the existence of ε-fixed points to these maps. Also we will prove that if a Banach space has approximate fixed point property, then its dense subset also
Compatible mappings and common fixed points,
- Internat. J. Math. Math. Sci.
, 1986
"... ABSTRACT. A generalization of the commuting mapping concept is introduced. Properties of this "weakened commutativity" are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others. ..."
Abstract
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Cited by 226 (3 self)
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ABSTRACT. A generalization of the commuting mapping concept is introduced. Properties of this "weakened commutativity" are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.
MAXIMAL FIXED POINT STRUCTURES
"... Abstract. Examples, counterexamples and properties of the maximal fixed point structures are given. 1. ..."
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Cited by 2 (1 self)
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Abstract. Examples, counterexamples and properties of the maximal fixed point structures are given. 1.
SOME FIXED POINT THEOREMS
"... Abstract. We investigate a few fixed point theorems from functional analysis and discuss fixed point problems in general. 1. ..."
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Abstract. We investigate a few fixed point theorems from functional analysis and discuss fixed point problems in general. 1.
Results 1 - 10
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