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411
Deep Sparse Rectifier Neural Networks
"... While logistic sigmoid neurons are more biologically plausible than hyperbolic tangent neurons, the latter work better for training multilayer neural networks. This paper shows that rectifying neurons are an even better model of biological neurons and yield equal or better performance than hyperbol ..."
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Cited by 57 (17 self)
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While logistic sigmoid neurons are more biologically plausible than hyperbolic tangent neurons, the latter work better for training multilayer neural networks. This paper shows that rectifying neurons are an even better model of biological neurons and yield equal or better performance than
SRB measures for partially hyperbolic systems whose central direction is mostly expanding
, 2000
"... We construct SinaiRuelleBowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms  the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting  under the assumption that the complementary subbundle is nonuniformly expanding. If the r ..."
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Cited by 197 (44 self)
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We construct SinaiRuelleBowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms  the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting  under the assumption that the complementary subbundle is nonuniformly expanding
CMOS VLSI Hyperbolic Tangent Function & its Derivative Circuits for Neuron Implementation
"... Abstract The hyperbolic tangent function and its derivative are key essential element in analog signal processing and especially in analog VLSI implementation of neuron of artificial neural networks. The main conditions of these types of circuits are the small silicon area, and the low power consum ..."
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Abstract The hyperbolic tangent function and its derivative are key essential element in analog signal processing and especially in analog VLSI implementation of neuron of artificial neural networks. The main conditions of these types of circuits are the small silicon area, and the low power
Symbolic dynamics for hyperbolic flows
 Amer. J. Math
, 1973
"... Let/, {t e R) be a differentiable flow on a compact manifold M. A compact invariant set A containing no fixed points is called hyperbolic if the tangent bundle restricted to A can be written as the Whitney sum of three Zyjinvariant continuous subbundles TAM = E + Es + Eu, where Eis the onedimensi ..."
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Cited by 118 (0 self)
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Let/, {t e R) be a differentiable flow on a compact manifold M. A compact invariant set A containing no fixed points is called hyperbolic if the tangent bundle restricted to A can be written as the Whitney sum of three Zyjinvariant continuous subbundles TAM = E + Es + Eu, where Eis the one
Tangent Tangent Plot
"... Abstract — In this paper, a novel signal processing method is suggested for classifying epileptic seizures. To this end, first the Tangent and Hyperbolic Tangent of signals are calculated and then are classified into two classes: normal (or interictal) and ictal, using a proposed classifier. The res ..."
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Abstract — In this paper, a novel signal processing method is suggested for classifying epileptic seizures. To this end, first the Tangent and Hyperbolic Tangent of signals are calculated and then are classified into two classes: normal (or interictal) and ictal, using a proposed classifier
The tangent measure distributions of hyperbolic Cantor sets
 Mh. Math
, 1998
"... Tangent measure distributions were introduced by Bandt [2] and Graf [8] as a means to describe the local geometry of selfsimilar sets generated by iteration of contractive similitudes. In this paper we study the tangent measure distributions of hyperbolic Cantor sets generated by certain contract ..."
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Cited by 4 (0 self)
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Tangent measure distributions were introduced by Bandt [2] and Graf [8] as a means to describe the local geometry of selfsimilar sets generated by iteration of contractive similitudes. In this paper we study the tangent measure distributions of hyperbolic Cantor sets generated by certain
TANGENT BUNDLES TO REGULAR BASIC SETS IN HYPERBOLIC DYNAMICS
"... Abstract. Given a locally maximal compact invariant hyperbolic set Λ for a C 2 flow or diffeomorphism on a Riemann manifold with C 1 stable laminations, we construct an invariant continuous bundle of tangent vectors to local unstable manifolds that locally approximates Λ in a certain way. 1. ..."
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Cited by 1 (1 self)
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Abstract. Given a locally maximal compact invariant hyperbolic set Λ for a C 2 flow or diffeomorphism on a Riemann manifold with C 1 stable laminations, we construct an invariant continuous bundle of tangent vectors to local unstable manifolds that locally approximates Λ in a certain way. 1.
Frequency dependence Hyperbolic tangent Gaussian kernels
, 2009
"... d b ele pre functions follow a Gaussian distribution. Here, we propose a new analytical framework that relaxes the assumption of Gaussian competition and carrying capacity functions, and investigate how alternative tive g is the 006; D and Doebeli, 2004; Dieckmann and Doebeli, 1999). If the degree o ..."
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d b ele pre functions follow a Gaussian distribution. Here, we propose a new analytical framework that relaxes the assumption of Gaussian competition and carrying capacity functions, and investigate how alternative tive g is the 006; D and Doebeli, 2004; Dieckmann and Doebeli, 1999). If the degree of may split into several daughter lineages in one single burst, ecent ource nary ar et al., 2008). For example, boxlike kernels have been shown to 1 3
Results 1  10
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411