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Unsupervised Learning by Probabilistic Latent Semantic Analysis
 Machine Learning
, 2001
"... Abstract. This paper presents a novel statistical method for factor analysis of binary and count data which is closely related to a technique known as Latent Semantic Analysis. In contrast to the latter method which stems from linear algebra and performs a Singular Value Decomposition of cooccurren ..."
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Cited by 618 (4 self)
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Maximization algorithm for model fitting, which has shown excellent performance in practice. Probabilistic Latent Semantic Analysis has many applications, most prominently in information retrieval, natural language processing, machine learning from text, and in related areas. The paper presents perplexity
Implementation issues in spectrum sensing for cognitive radios
 in Proc. the 38th. Asilomar Conference on Signals, Systems, and Computers
, 2004
"... Abstract There are new system implementation challenges involved in the design of cognitive radios, which have both the ability to sense the spectral environment and the flexibility to adapt transmission parameters to maximize system capacity while coexisting with legacy wireless networks. The cri ..."
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Cited by 440 (7 self)
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Abstract There are new system implementation challenges involved in the design of cognitive radios, which have both the ability to sense the spectral environment and the flexibility to adapt transmission parameters to maximize system capacity while coexisting with legacy wireless networks
MAXIMAL COHENMACAULAY MODULES AND TATECOHOMOLOGY OVER GORENSTEIN RINGS
"... The main theme of this article is: Why should one consider Maximal CohenMacaulay Modules? Although there has been a lot of work and success lately in the theory of such modules, of which this conference witnessed, it has remained mysterious at least to the present author why these modules provide ..."
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Cited by 163 (2 self)
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provide such a powerful tool in studying the algebra and geometry of singularities for example. We try to give one answer here, at least for the case of Gorenstein rings. Their role is special as over such rings "maximal CohenMacaulay". and "being a syzygy module of arbitrarily high order
Clustertilted algebras are Gorenstein and stably CalabiYau
 CALABIYAU, ADV. MATH
, 2006
"... We prove that in a 2CalabiYau triangulated category, each cluster tilting subcategory is Gorenstein with all its finitely generated projectives of injective dimension at most one. We show that the stable category of its CohenMacaulay modules is 3CalabiYau. We deduce in particular that cluster ..."
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Cited by 145 (18 self)
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that clustertilted algebras are Gorenstein of dimension at most one, and hereditary if they are of finite global dimension. Our results also apply to the stable (!) endomorphism rings of maximal rigid modules of [27]. In addition, we prove a general result about relative 3CalabiYau duality over non stable
Rigid modules over PREPROJECTIVE ALGEBRAS
, 2005
"... Let Λ be a preprojective algebra of simply laced Dynkin type ∆. We study maximal rigid Λmodules, their endomorphism algebras and a mutation operation on these modules. This leads to a representationtheoretic construction of the cluster algebra structure on the ring C[N] of polynomial functions on ..."
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Cited by 88 (14 self)
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Let Λ be a preprojective algebra of simply laced Dynkin type ∆. We study maximal rigid Λmodules, their endomorphism algebras and a mutation operation on these modules. This leads to a representationtheoretic construction of the cluster algebra structure on the ring C[N] of polynomial functions
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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coil array in brain imaging. With an array of five coils doubleoblique heart images were obtained in onethird of conventional scan time. Magn Reson Med 42:952962, 1999. 1999 WileyLiss, Inc. Key words: MRI; sensitivity encoding; SENSE; fast imaging; receiver coil array Among today's many medical
Maximal northogonal modules for selfinjective algebras
 PROC. AMER. MATH. SOC
, 2008
"... Let A be a finitedimensional selfinjective algebra. We show that, for any n ≥ 1, maximal northogonal Amodules (in the sense of Iyama) rarely exist. More precisely, we prove that if A admits a maximal northogonal module, then all Amodules are of complexity at most 1. ..."
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Cited by 13 (0 self)
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Let A be a finitedimensional selfinjective algebra. We show that, for any n ≥ 1, maximal northogonal Amodules (in the sense of Iyama) rarely exist. More precisely, we prove that if A admits a maximal northogonal module, then all Amodules are of complexity at most 1.
Modules for certain Lie algebras of maximal class
 J. Pure Appl. Algebra
, 1995
"... Let g be a nitedimensional Lie algebra over a eld k of characteristic zero. By Ado's Theorem it is known that there exists a faithful g module M of nite dimension. Hence we may consider the following integer valued invariant of g: (g): = minfdimk M j M is a faithful g moduleg: ..."
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Cited by 13 (7 self)
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Let g be a nitedimensional Lie algebra over a eld k of characteristic zero. By Ado's Theorem it is known that there exists a faithful g module M of nite dimension. Hence we may consider the following integer valued invariant of g: (g): = minfdimk M j M is a faithful g moduleg:
Modules for Algebraic Groups With Finitely Many Orbits on Subspaces
, 1997
"... Introduction Let G be a connected linear algebraic group over an algebraically closed field K of characteristic p 0. In this paper we determine all finitedimensional irreducible rational KGmodules V such that G has only a finite number of orbits on the set of vectors in V . We shall call such a ..."
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Cited by 13 (5 self)
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Introduction Let G be a connected linear algebraic group over an algebraically closed field K of characteristic p 0. In this paper we determine all finitedimensional irreducible rational KGmodules V such that G has only a finite number of orbits on the set of vectors in V . We shall call such a
Modules over operator algebras, and the maximal C∗dilation
, 1999
"... We continue our study of the general theory of possibly nonselfadjoint algebras of operators on a Hilbert space, and modules over such algebras, developing a little more technology to connect ‘nonselfadjoint operator algebra’ with the C∗−algebraic framework. More particularly, we make use of the uni ..."
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Cited by 3 (1 self)
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We continue our study of the general theory of possibly nonselfadjoint algebras of operators on a Hilbert space, and modules over such algebras, developing a little more technology to connect ‘nonselfadjoint operator algebra’ with the C∗−algebraic framework. More particularly, we make use
Results 1  10
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