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138
Noisy Principal Component Analysis
 Measurement '93, pages 2533, Institute of Measurement Science, Slovak Academy of Sciences
, 1993
"... this paper, we are concerned with situations in which the output y of the linear network with weight matrix A from an input x actually is y = Ax + e, ..."
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Cited by 5 (1 self)
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this paper, we are concerned with situations in which the output y of the linear network with weight matrix A from an input x actually is y = Ax + e,
KMS STATES ON THE C∗ALGEBRAS OF NONPRINCIPAL GROUPOIDS
"... Abstract. We describe KMSstates on the C∗algebras of etale groupoids in terms of measurable fields of traces on the C∗algebras of the isotropy groups. We use this description to analyze tracial states on the transformation groupoid C∗algebras and to give a short proof of recent results of Cuntz, ..."
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Cited by 11 (2 self)
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, Deninger and Laca on the Toeplitz algebras of the ax+ b semigroups of the rings of integers in number fields.
Biorthogonalization of the Principal Vectors for the Matrices A and A ∗ with Application to the Computation of the Explicit Representation
"... of the Solution x(t) of x ̇ = Ax, x(t0) = x0 ..."
Subspace Algorithms for the Stochastic Identification Problem
, 1993
"... In this paper, we derive a new subspace algorithm to consistently identify stochastic state space models from given output data without forming the covariance matrix and using only semiinfinite block Hankel matrices. The algorithm is based on the concept of principal angles and directions. We descr ..."
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Cited by 91 (14 self)
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In this paper, we derive a new subspace algorithm to consistently identify stochastic state space models from given output data without forming the covariance matrix and using only semiinfinite block Hankel matrices. The algorithm is based on the concept of principal angles and directions. We
Nonconvexity of the Generalized Numerical Range Associated with the Principal Character
"... Suppose m and n are integers such that 1 m n. For a subgroup H of the symmetric group Sm of degree m, consider the generalized matrix function on m \Theta m matrices B = (b ij ) defined by d H (B) = P oe2H Q m j=1 b joe(j) and the generalized numerical range of an n \Theta n complex matrix A ..."
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Cited by 2 (2 self)
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A associated with d H defined by W H (A) = fd H (X AX) : X is n \Theta m such that X X = I mg: It is known that W H (A) is convex if m = 1 or if m = n = 2. We show that there exist normal matrices A for which W H (A) is not convex if 3 m n. Moreover, for m = 2 ! n, we prove
Printed in Great Britain © 1989 Pergamon Press plc STEADY STATE AX ISYMMETRIC DEFORMATIONS OF A
, 1988
"... SummarySteady state thermomechanical deformations of a semiinfinite rod moving at a very high speed and hitting a rigid hemispbericai cavity are studied. It is assumed that the deformations of the rod are axisymmetric, that its material can be modeled as rigidviscoplastic, that the.material exhi ..."
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hardening, strainrate hardening and thermal softening on the deformations of the rod. Results computed and presented graphically include the distribution of the velocity field, the temperature change, the secondinvariant of the strainrate t nsor and the principal stresses in the deforming region. Also
Principally polarizable isogeny classes of abelian surfaces over finite fields
, 2008
"... Let A be an isogeny class of abelian surfaces over Fq with Weil polynomial x 4 +ax 3 +bx 2 +aqx+q 2. We show that A does not contain a surface that has a principal polarization if and only if a 2 − b = q and b < 0 and all prime divisors of b are congruent to 1 modulo 3. ..."
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Cited by 3 (2 self)
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Let A be an isogeny class of abelian surfaces over Fq with Weil polynomial x 4 +ax 3 +bx 2 +aqx+q 2. We show that A does not contain a surface that has a principal polarization if and only if a 2 − b = q and b < 0 and all prime divisors of b are congruent to 1 modulo 3.
Aqueous CSD approach for the growth of novel, latticetuned La x Ce 1Àx O d epitaxial layers †
"... Lanthanumcerium oxide (LCO) films were deposited on Ni5%W substrates by chemical solution deposition (CSD) from waterbased precursors. LCO films containing different ratios of lanthanum and cerium ions (from CeO 2 to La 2 Ce 2 O 7 ) were prepared. The composition of the layers was optimized towa ..."
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using XPS. The thin LCO layers supported the growth of superconducting YBCO deposited using PLD methods. Introduction Among the current second generation of coated conductors, YBa 2 Cu 3 O 7Àx (YBCO) is of worldwide interest because of its excellent superconducting properties and its possibility
When are There Infinitely Many Irreducible Elements in a Principal Ideal Domain?
, 2004
"... It has been a wellknown fact since Euclid’s time that there exist infinitely many rational primes. Two natural questions arise: In which other rings, sufficiently similar to the integers, are there infinitely many irreducible elements? Is there a unifying algebraic concept that characterizes such r ..."
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such rings? The purpose of the present note is to place the fact concerning the infinity of primes into a more general context, one that also includes the interesting case of the factorial domains (unique factorization domains) of algebraic integers in a number field. We show that, if A is a Principal Ideal
Asymptotics of the principal eigenvalue and expected hitting time for positive recurrent elliptic operators in a domain with a small puncture
 J. Funct. Anal
"... Abstract. Let X(t) be a positive recurrent diffusion process corresponding to an operator L on a domain D ⊆ Rd with oblique reflection at ∂D if D 6 ≡ Rd. For each x ∈ D, we define a volumepreserving norm that depends on the diffusion matrix a(x). We calculate the asymptotic behavior as → 0 of the ..."
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Cited by 4 (1 self)
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Abstract. Let X(t) be a positive recurrent diffusion process corresponding to an operator L on a domain D ⊆ Rd with oblique reflection at ∂D if D 6 ≡ Rd. For each x ∈ D, we define a volumepreserving norm that depends on the diffusion matrix a(x). We calculate the asymptotic behavior as → 0
Results 1  10
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138