Miki Aoyagi
<Japanese  English >
EMail: aoyagi_miki AT yahoo dot co dot jp
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Recent Papers
(20052007)
Research

The zeta function of learning theory
and generalization error of three layered neural perceptron,
RIMS Kokyuroku, Recent Topics on Real and Complex Singularities,
(2006) (in press) paper.pdf.

(With S. Watanabe)
Resolution of Singularities and
the Generalization Error with Bayesian Estimation for Layered
Neural Network,
Systems and Computers in Japan, John Wiley & Sons, Inc. (in press).
paper.pdf

(With S. Watanabe)
Stochastic Complexities
of Reduced Rank Regression in Bayesian Estimation,
Neural Networks,
(2005) No. 18, pp.924933.
paper.pdf

(With S. Watanabe)
Resolution of
singularities and its application to learning theory,
Technical report of IEICE, NC200326,
(2003) No. 26, pp.2530.
paper.pdf

Artin component and Weyl group for dihedral singularity,
RIMS Kokyuroku,
(2003) No. 1314, pp.1127.

(With K. Tsuji) Recognition of planar shapes by a semidifferential
invariant for moving triangles,
Journal of Computational and Applied Mathematics,
Elsevier Science, vol. 152/12, (2003) pp. 533544.

Dimca hypersurfaces and Nagata automorphisms,
Mathematische Nachrichten,
WILEYVCH Verlag Berlin GmbH, vol. 218 (2000), pp. 175184.

Special reflexive modules and the first Chern class,
Finite or Infinite Dimensional Complex Analysis,
Lecture Notes in Pure and Applied Mathematics 214,
Marcel Dekker Inc, (New York・Basel), (2000), Chapter 57
pp. 549581.

Identification of density distribution
with time parameter,
Recent Developments in Complex Analysis and Computer Algebra,
Kluwer Publisher (Netherlands, Utrecht), (1998), pp. 311322.

(With J. Kajiwara and K. H. Shon)
Parameter Analysis,
Recent Developments in Complex Analysis and Computer Algebra,
Kluwer Publisher (Netherlands, Utrecht), (1998), pp. 155168.

Geometric Consideration of Extension Problem,
RIMS Kokyuroku, (1998) No. 1058, pp.129141.

Extension Problem of Holomorphic Functions,
RIMS Kokyuroku, CR geometry and isolated singularites conference,
(1998) No. 1037, pp. 116121.

(With M. Abe and M. Furushima)
Equicontinuity Domain and the Disk Property,
Complex Variables Theory and Application, Gordon and Breach Science Publishers
(Basel, Switzerland), vol. 39 (1998), pp. 1925.

(With J. Kajiwara and K. H. Shon) Localization of global existence
of holomorphic solutions of holomorphic differential equations with
infinite dimensional parameter,
Czechoslovak Mathematical Journal
(Praha), vol. 48(123) (1998), pp. 687700.

On a problem of Ohsawa,
Geometric Complex Analysis, World Scientific (Singapore・New Jersey・London・Hon Kong), (1996) pp. 617621.

(With H. Hamada) Counterexample of a bounded domain for Ohsawa's problem,
Complex Variables Theory and Application, Gordon and Breach Science Publishers
(Basel, Switzerland), vol. 28 (1996), pp. 285287.

Counterexample of an unbounded domain for Ohsawa's problem,
Complex Variables Theory and Application, Gordon and Breach Science Publishers
(Basel, Switzerland), vol. 27 (1995),
pp. 335338.

(With J. Kajiwara and L. Li)
Real Zeros of Holomorphic
Functions with Parameters II:
Complex Numerical Integration Using Fortran 77,
Math. J. Toyama Univ. vol. 16(1993), pp. 195  216.
Proceedings

(With S. Watanabe)
Resolution of Singularities and
and Stochastic Complexity
of Complete Bipartite GraphType Spin Model
in Bayesian Estimation,
Modeling Decisions for Artificial Intelligence,
Lecture Notes in Artificial Intelligence,
SpringerVerlag,
(2007) No. 4617, pp. 443454.
論文.pdf.

(With Sumio Watanabe)
Generalization Error of Three Layered Learning Model in Bayesian Estimation,
Proceedings of the Second IASTED International Conference on
Computational Intelligence, (San Francisco, California, USA), (2006),
pp.405410.
paper.pdf

(With K. Tsuji)
Eye Direction by Stereo Image Processing using Corneal Reflection on an Iris,
Proceedings of the Second IASTED International Conference on
Computational Intelligence, (San Francisco, California, USA), (2006),
pp.355360.
paper.pdf

(With K. Tsuji)
A modified genetic algorithm
for feature clustering,
Proceedings of
The 12th International Conference on Finite or Infinite
Dimensional Complex Analysis and Applications,
Kyushu University Press, (2005), pp.916.
paper.pdf

(With S. Watanabe)
The maximum pole of the zeta function
for learning theory,
Proceedings of
The 12th International Conference on Finite or Infinite
Dimensional Complex Analysis and Applications,
Kyushu University Press, (2005), pp.1724.
paper.pdf

(With K. Yamazaki and S. Watanabe)
Stochastic Complexity and Newton Diagram,
International Symposium on Information
Theory and its Applications, (Parma, Italy), (2004),
pp. 105110.
paper.pdf

(With K. Tsuji)
A modified genetic algorithm for image segmentation
based on feature clustering,
International Symposium on Information
Theory and its Applications, (Parma, Italy),
(2004),
pp. 10741079.
paper.pdf

(With S. Watanabe)
The Generalization Error of Reduced Rank Regression
in Bayesian Estimation,
International Symposium on Information
Theory and its Applications, (Parma, Italy), (2004),
pp. 10681073.
paper.pdf

Deformation spaces of quotient surface singularities,
Proceedings of the eighth international colloquium
on complex analysis, (2000), pp. 229223.

Deformation of singularities via quivers,
Proceedings of the Second ISAAC Congress,
Kluwer Academic Publisher (Dortrect・Boston・London),
(2000), Chapter { 95}, pp. 839848.

Numerical Analysis of Real Inverse Formula,
Proceedings of the Sixth International Conference on Finite
or Infinite Dimensional Complex Analysis, Andong National Univ.,
Korea, 2631, July (1998) pp. 151155.

Identification of Density Distribution due to Onecodimensional
Projected Figures,
Proceedings of the Seventh International Colloquium on
Differential
Equations, VSP (Netherlands, Utrecht) (1997) pp. 429436.

(With J. Kajiwara, C. L. Parihar and V. M. Raffee)
Numerical Analysis on ∂Problem and Extension of
Holomorphic Functions from Lower Dimensional Subvarieties,
Proceedings of the Seventh International Colloquium on
Differential
Equations, VSP (Netherlands, Utrecht) (1997) pp. 181188.

MultiPeak System Identification with GaussWeierstrass
Transform,
Proceedings of the Sixth International Colloquium on Differential
Equations, VSP (Netherlands, Utrecht) (1996) pp. 305312.

Continuation of bounded holomorphic functions from onecodimensional
subspace to pseudoconvex domains,
Proceedings of the Sixth International Colloquium on Differential
Equations, VSP (Netherlands, Utrecht) (1996) pp. 313320.

(With S. Kado and V. M. Raffee)
Comparison of Pseudozeros and Pseudospectra for Polynomials with
Multiple Zeros,
Proceedings of the Fourth International Colloquium on Finite
or Infinite Dimensional Complex Analysis, Kumamoto, 2931, July (1996)
pp. 199214.

(With J. Kajiwara and V. M. Raffee)
Numerical Methods for ∂Problem,
Proceedings of the Beijing Workshop on Finite or Infinite
Dimensional Complex Analysis, Beijing, China, 35, August (1996)
pp. 2333.

(With J. Kajiwara and L. Li)
Real Zeros of Holomorphic
Functions with Parameters IV:
Repeated Complex and Real
Numerical Integration,
Proceedings of the Fourth International Colloquium on
Numerical
Analysis, ImpulseM (Sofia) (1995), pp. 7582.

(With J. Kajiwara and D. K. Kim)
Spectrum for Infinite
Dimensional Domains,
Proceedings of the Sixth International Colloquium on Differential
Equations, ImpulseM (Sofia) (1995), pp. 213220.

A MultiPeak System Identification,
Proceedings of the Third International Colloquium on Numerical Analysis, VSP (Netherlands, Utrecht) (1995), pp.191200.

(With J. Kajiwara and K. H. Shon)
Localization of Global
Existence of Holomorphic Solutions of Analytic
Linear Differential Equations with Infinite Dimensional Parameter,
Proceedings of the Third International Colloquium on Finite
or Infinite Dimensional Complex Analysis, Seoul, July 31August 2 (1995)
pp. 289298.

(With J. Kajiwara)
Inverse Formula for Laplace Transform,
Proceedings of the Fifth International Colloquium on Differential
Equations, VSP (Netherlands, Utrecht) (1995) pp. 163172.

(With J. Kajiwara)
Surfaces Associated to Real Zeros of
Holomorphic Functions with
Parameters,
Proceedings of the Third International Colloquium
on Numerical Analysis, VSP (Netherlands, Utrecht) (1995), pp. 107116.

Domains of Definition of Adjoint Operators,
Proceedings of the Second KoreanJapanese Colloquium on
Finite
or Infinite Dimensional Complex Analysis, Fukuoka, 2729, July (1994)
pp. 203207.
Paper of
Workshop

(With S. Watanabe)
Generalization Error of ThreeLayer Neural Perceptron
in Bayesian Estimation,
2005 Workshop on InformationBased Induction Sciences (2005),
pp. 7580.
paper.pdf

(With S. Watanabe)
Desingularization and the Generalization Error
of Reduced Rank Regression in Bayesian Estimation,
2004 Workshop on InformationBased Induction Sciences (2004),
pp. ??.
paper.pdf

(With S. Watanabe and K. Yamazaki)
Kullback Information of Normal Mixture is not an
Analytic Function,
Technical report of IEICE, NC2004,
(2004), pp. 4146.
paper.dvi

(With S. Watanabe)
The Generalization Error of Reduced Rank Regression Models
and Resolution of Singularities,
Technical report of IEICE, NC2004,
(2004), pp. 1318.
paper.pdf