@article{CTT100591351,
  author = {Kazuho Watanabe and Shiga Motoki and SUMIO WATANABE},
  title = {Upper bound for variational free energy of Bayesian networks},
  journal = {Machine Learning},
  year = 2009,
}

@article{CTT100549962,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Stochastic complexities of general mixture models in variational Bayesian learning},
  journal = {Neural Networks},
  year = 2007,
}

@article{CTT100544379,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Estimating the Data Region Using Minimum and Maximum Values},
  journal = {Interdisciplinary Information Sciences},
  year = 2007,
}

@article{CTT100508082,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Stochastic complexities of gaussian mixtures in variational bayesian approximation},
  journal = {Journal of Machine Learning Research},
  year = 2006,
}

@inproceedings{CTT100550004,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Variational Bayesian Algorithm and Stochastic Complexity for Mixture Models},
  booktitle = {Proc. of ICONIP2005},
  year = 2008,
}

@inproceedings{CTT100549965,
  author = {SUMIO WATANABE and KAZUHO WATANABE},
  title = {Stochastic complexity for mixture of exponential families in generalized variational Bayes},
  booktitle = {Theoretical Computer Science},
  year = 2007,
}

@inproceedings{CTT100508090,
  author = {Tikara  Hosino and KAZUHO WATANABE and SUMIO WATANABE},
  title = {Free Energy of Stochastic Context Free Grammar on Variational Bayes},
  booktitle = {Proc. of  ICONIP},
  year = 2006,
}

@inproceedings{CTT100508089,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Variational bayesian stochastic complexity of mixture models},
  booktitle = {Proc. of Advances in Neural Information Processing Systems},
  year = 2006,
}

@inproceedings{CTT100508087,
  author = {KAZUHO WATANABE and Motoki  Shiga and SUMIO WATANABE},
  title = {Upper bounds for variational stochastic complexities of Bayesian networks},
  booktitle = {Proc. of International Conference on Intelligent Data Engineering and Automated Learning},
  year = 2006,
}

@inproceedings{CTT100550012,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Variational Bayesian Stochastic Complexity of Mixture Models},
  booktitle = {Proc. of Advances in Neural Information Processing Systems},
  year = 2006,
}

@inproceedings{CTT100550005,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {Stochastic complexity for mixture of exponential families in variational bayes},
  booktitle = {Proc. of ALT2005},
  year = 2005,
}

@inproceedings{CTT100550009,
  author = {KAZUHO WATANABE and SUMIO WATANABE},
  title = {On Variational Bayes Algorithms for Exponential Family Mixtures},
  booktitle = {Proc. of International Symposium on Nonlinear Theory and its Applications},
  year = 2005,
}

@inproceedings{CTT100549983,
  author = {TIKARA HOSHINO and KAZUHO WATANABE and SUMIO WATANABE},
  title = {Stochastic Complexity of Variational Bayesian Hidden Markov Models},
  booktitle = {Proc. of IJCNN},
  year = 2005,
}