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Understanding Normal and Impaired Word Reading: Computational Principles in QuasiRegular Domains
 PSYCHOLOGICAL REVIEW
, 1996
"... We develop a connectionist approach to processing in quasiregular domains, as exemplified by English word reading. A consideration of the shortcomings of a previous implementation (Seidenberg & McClelland, 1989, Psych. Rev.) in reading nonwords leads to the development of orthographic and phono ..."
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Cited by 613 (94 self)
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and phonological representations that capture better the relevant structure among the written and spoken forms of words. In a number of simulation experiments, networks using the new representations learn to read both regular and exception words, including lowfrequency exception words, and yet are still able
Dualtask interference in simple tasks: Data and theory
 Psychological Bulletin
, 1994
"... People often have trouble performing 2 relatively simple tasks concurrently. The causes of this interference and its implications for the nature of attentional limitations have been controversial for 40 years, but recent experimental findings are beginning to provide some answers. Studies of the psy ..."
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Cited by 434 (12 self)
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additional and distinct forms of interference. These conclusions challenge widely accepted ideas about attentional resources and probe reaction time methodologies. They also suggest new ways of thinking about continuous dualtask performance, effects of extraneous stimulation (e.g.. stop signals
Complex wavelets for shift invariant analysis and filtering of signals
 J. Applied and Computational Harmonic Analysis
, 2001
"... This paper describes a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. This introduces limited redundancy (2m: 1 for mdimensional signals) and allows the transform to provide approximate shift ..."
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Cited by 384 (40 self)
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This paper describes a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. This introduces limited redundancy (2m: 1 for mdimensional signals) and allows the transform to provide approximate
On Binary Trilinear Forms  the Case of Quaternions
"... 9> z) = X y k a jk` z ` x j : (Note that the order of the factors in the terms is essential!) The (maximum) norm of such a trilinear form T is defined by kTk = sup kxk=kyk=kzk=1 jT (x; y; z)j: Let K be, in case one, the left dual of H 1 and, in case two, the right of H 1 . Let h\Deltai den ..."
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9> z) = X y k a jk` z ` x j : (Note that the order of the factors in the terms is essential!) The (maximum) norm of such a trilinear form T is defined by kTk = sup kxk=kyk=kzk=1 jT (x; y; z)j: Let K be, in case one, the left dual of H 1 and, in case two, the right of H 1 . Let h
NEW UNIFORM BOUNDS FOR A WALSH MODEL OF THE BILINEAR HILBERT TRANSFORM
"... The notion of bilinear Hilbert transform usually refers to a member of a family of bilinear operators parameterized by a unit vector β perpendicular to (1, 1, 1). We will write the bilinear operators in this family more symmetrically as dual trilinear forms Λβ, acting on three ..."
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Cited by 11 (3 self)
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The notion of bilinear Hilbert transform usually refers to a member of a family of bilinear operators parameterized by a unit vector β perpendicular to (1, 1, 1). We will write the bilinear operators in this family more symmetrically as dual trilinear forms Λβ, acting on three
REMARKS ON SYMMETRIES OF TRILINEAR FORMS
 MONOGRÁFICO: PERSPECTIVAS EN ANÁLISIS MATEMÁTICO
, 2000
"... We investigate the interplay between the different kinds of symmetry that a trilinear form may have and the behaviour of its norm. ..."
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Cited by 2 (1 self)
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We investigate the interplay between the different kinds of symmetry that a trilinear form may have and the behaviour of its norm.
Singular values of trilinear forms
 Experimental Math
"... Let T: Jd x M2 x Ji3> C be a trilinear form, where H,, M2/ 2{3 are separable Hilbert spaces. In the hypothesis that at least 1. Millennial Equation: The General Case two of the three spaces are finite dimensional we show that the ..."
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Cited by 2 (1 self)
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Let T: Jd x M2 x Ji3> C be a trilinear form, where H,, M2/ 2{3 are separable Hilbert spaces. In the hypothesis that at least 1. Millennial Equation: The General Case two of the three spaces are finite dimensional we show that the
Complexity of Trilinear Alternating Forms
"... For a trilinear alternating form we introduce two invariants: efficiency and complexity. We prove that every nondegenerate trilinear alternating form can be embedded into a standard trilinear form. This embedding provides a relation between the efficiency and the complexity of an alternating for ..."
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For a trilinear alternating form we introduce two invariants: efficiency and complexity. We prove that every nondegenerate trilinear alternating form can be embedded into a standard trilinear form. This embedding provides a relation between the efficiency and the complexity of an alternating
SINGULAR LINES OF TRILINEAR FORMS
, 909
"... Abstract. We prove that an alternating eform on a vector space over a quasialgebraically closed field always has a singular (e − 1)dimensional subspace, provided that the dimension of the space is strictly greater than e. Here an (e−1)dimensional subspace is called singular if pairing it with the ..."
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Cited by 1 (1 self)
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it with the eform yields zero. By the theorem of Chevalley and Warning our result applies in particular to finite base fields. Our proof is most interesting in the case where e = 3 and the space has odd dimension n; then it involves a beautiful equivariant map from alternating trilinear forms to polynomials
On the Structure of Bounded Trilinear Forms
, 1997
"... this paper we have collected various rather fragmentary partial results obtained in this direction since c. 1993. We are almost exclusively dealing with the finite dimensional situation. (In this case both notions coincide, of course.) In fact, it turns out that already the two dimensional (or binar ..."
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Cited by 2 (1 self)
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set forth some general facts about trilinear forms in Hilbert space which hold regardless of what the dimensions are. In Section 2 we give an extensive study of the binary case (that is, all three Hilbert spaces are two dimensional). This section contains the main results of our paper. In Section 3 we
Results 1  10
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6,310