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確率伝搬法と統計力学的近似解析手法との等価性確率伝搬法と統計力学的近似解析手法との等価性Y. Kabashima and D. Saad, Belief propagation vs. TAP for decoding corrupted messages, Europhys. Lett. 44 (1998). M. Opper and D. Saad (eds), Advanced Mean Field Methods ---Theory and Practice (MIT Press, 2001).
クラスター変分法による確率伝搬法の一般化の提案クラスター変分法による確率伝搬法の一般化の提案J. S. Yedidia, W. T. Freeman and Y. Weiss, Generalized belief propagation, Advances in Neural Information Processing Systems, 13 (2001, MIT Press).
情報幾何としての確率伝搬法の解釈情報幾何としての確率伝搬法の解釈 S. Ikeda, T. Tanaka and S. Amari: Stochastic reasoning, free
energy, and information geometry, Neural Computation, Vol.16, No.9, pp.1779-1810, 2004.
確率伝搬法と統計力学的近似解析手法との等価性確率伝搬法と統計力学的近似解析手法との等価性Y. Kabashima and D. Saad, Belief propagation vs. TAP for decoding corrupted messages, Europhys. Lett. 44 (1998). M. Opper and D. Saad (eds), Advanced Mean Field Methods ---Theory and Practice (MIT Press, 2001).
クラスター変分法による確率伝搬法の一般化の提案クラスター変分法による確率伝搬法の一般化の提案J. S. Yedidia, W. T. Freeman and Y. Weiss, Generalized belief propagation, Advances in Neural Information Processing Systems, 13 (2001, MIT Press).
情報幾何としての確率伝搬法の解釈情報幾何としての確率伝搬法の解釈 S. Ikeda, T. Tanaka and S. Amari: Stochastic reasoning, free
energy, and information geometry, Neural Computation, Vol.16, No.9, pp.1779-1810, 2004.
確率推論における確率伝搬法確率推論における確率伝搬法K. Tanaka: “Probabilistic inference by means of cluster K. Tanaka: “Probabilistic inference by means of cluster variation method and linear response theory”, IEICE variation method and linear response theory”, IEICE Transactions, Transactions, E86-DE86-D (2003). (2003).
確率的画像処理における確率伝搬法確率的画像処理における確率伝搬法K. Tanaka, H. Shouno, M. Okada and D. M. Titterington: AccuracK. Tanaka, H. Shouno, M. Okada and D. M. Titterington: Accuracy of the Bethe Approximation for Hyperparameter Estimation in y of the Bethe Approximation for Hyperparameter Estimation in Probabilistic Image Processing, J. Phys. A: Math. & Gen., Probabilistic Image Processing, J. Phys. A: Math. & Gen., 3737 (20 (2004).04).
確率伝搬法の更なる応用確率伝搬法の更なる応用確率伝搬法の更なる応用確率伝搬法の更なる応用誤り訂正符号における低密度パリティ検査(誤り訂正符号における低密度パリティ検査( LDPCLDPC )符号)符号Y. Kabashima and D. Saad: Statistical mechanics of low-density parity-check codes (Topical Review), J. Phys. A, 37 (2004). S. Ikeda, T. Tanaka and S. Amari: Information geometry of turbo and low-density parity-check codes, IEEE Transactions on Information Theory, 50 (2004).
移動体通信の移動体通信の CDMACDMA 復調方式復調方式T. Tanaka: A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors, IEEE Transactions on Information Theory, 48 (2002).Y. Kabashima: A CDMA multiuser detection algorithm on the basis of belief propagation, J. Phys. A, 36 (2003).
充足可能性問題充足可能性問題(( SATSAT ))O. C. Martin, R. Monasson, R. Zecchina: Statistical mechanics methods and phase transitions in optimization problems, Theoretical Computer Science, 265 (2001).M. Mezard, G. Parisi, R. Zecchina: Analytic and algorithmic solution of random satisfability problems, Science, 297 (2002).
誤り訂正符号における低密度パリティ検査(誤り訂正符号における低密度パリティ検査( LDPCLDPC )符号)符号Y. Kabashima and D. Saad: Statistical mechanics of low-density parity-check codes (Topical Review), J. Phys. A, 37 (2004). S. Ikeda, T. Tanaka and S. Amari: Information geometry of turbo and low-density parity-check codes, IEEE Transactions on Information Theory, 50 (2004).
移動体通信の移動体通信の CDMACDMA 復調方式復調方式T. Tanaka: A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors, IEEE Transactions on Information Theory, 48 (2002).Y. Kabashima: A CDMA multiuser detection algorithm on the basis of belief propagation, J. Phys. A, 36 (2003).
充足可能性問題充足可能性問題(( SATSAT ))O. C. Martin, R. Monasson, R. Zecchina: Statistical mechanics methods and phase transitions in optimization problems, Theoretical Computer Science, 265 (2001).M. Mezard, G. Parisi, R. Zecchina: Analytic and algorithmic solution of random satisfability problems, Science, 297 (2002).