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Publications of Author

1. Kazuyuki Tanaka, D. M. Titterington
   Probabilistic Image Processing based on the Q-Ising Model by Means of the Mean-Field Method and Loopy Belief Propagation. [Citation Graph (0, 0)][DBLP]
   ICPR (2), 2004, pp:40-43 [Conf]
   
2. Chenguang Liu, Kazuyuki Tanaka
   Eigen-distribution on assignments for game trees with random properties. [Citation Graph (0, 0)][DBLP]
   SAC, 2007, pp:78-79 [Conf]
   
3. Kazuyuki Tanaka
   Statistical Learning Procedure in Loopy Belief Propagation for Probabilistic Image Processing. [Citation Graph (0, 0)][DBLP]
   CIMCA/IAWTIC, 2005, pp:741-746 [Conf]
   
4. Jun Ohkubo, Kazuyuki Tanaka
   Preferential Urn Model on a Random Network. [Citation Graph (0, 0)][DBLP]
   CIMCA/IAWTIC, 2005, pp:1153-1159 [Conf]
   
5. Kazuyuki Tanaka
   Linear Response Formula in Generalized Belief Propagation for Probabilistic Inference. [Citation Graph (0, 0)][DBLP]
   CIMCA/IAWTIC, 2005, pp:669-675 [Conf]
   
6. Nobuyuki Sakamoto, Kazuyuki Tanaka
   The strong soundness theorem for real closed fields and Hilbert's Nullstellensatz in second order arithmetic. [Citation Graph (0, 0)][DBLP]
   Arch. Math. Log., 2004, v:43, n:3, pp:337-350 [Journal]
   
7. Naoki Shioji, Kazuyuki Tanaka
   Fixed Point Theory in Weak Second-Order Arithmetic. [Citation Graph (0, 0)][DBLP]
   Ann. Pure Appl. Logic, 1990, v:47, n:2, pp:167-188 [Journal]
   
8. Stephen G. Simpson, Kazuyuki Tanaka, Takeshi Yamazaki
   Some conservation results on week König's lemma. [Citation Graph (0, 0)][DBLP]
   Ann. Pure Appl. Logic, 2002, v:118, n:1-2, pp:87-114 [Journal]
   
9. Kazuyuki Tanaka
   Weak Axioms of Determinacy and Subsystems of Analysis II (Sigma⁰₂ Games). [Citation Graph (0, 0)][DBLP]
   Ann. Pure Appl. Logic, 1991, v:52, n:1-2, pp:181-193 [Journal]
   
10. Kazuyuki Tanaka
    The Self-Embedding Theorem of WKL₀ and a Non-Standard Method. [Citation Graph (0, 0)][DBLP]
    Ann. Pure Appl. Logic, 1997, v:84, n:1, pp:41-49 [Journal]
    
11. Kazuyuki Tanaka, Takeshi Yamazaki
    A Non-Standard Construction of Haar Measure and Weak König's Lemma. [Citation Graph (0, 0)][DBLP]
    J. Symb. Log., 2000, v:65, n:1, pp:173-186 [Journal]
    
12. Kazuyuki Tanaka
    Non standard Analysis in WKLo. [Citation Graph (0, 0)][DBLP]
    Math. Log. Q., 1997, v:43, n:, pp:396-400 [Journal]
    
13. Makoto Kikuchi, Kazuyuki Tanaka
    On Formalization of Model-Theoretic Proofs of Gödel's Theorems. [Citation Graph (0, 0)][DBLP]
    Notre Dame Journal of Formal Logic, 1994, v:35, n:3, pp:403-412 [Journal]
    
14. Kazuyuki Tanaka
    Automatic hyperparameter estimation in probabilistic image restoration algorithm based on Gibbs microcanonical distribution. [Citation Graph (0, 0)][DBLP]
    Systems and Computers in Japan, 2005, v:36, n:1, pp:68-78 [Journal]
    
15. Kazuyuki Tanaka, Daiki Furusato, Tsuyoshi Horiguchi
    Coupled Markov random field models with phases as line field and region field. [Citation Graph (0, 0)][DBLP]
    Systems and Computers in Japan, 2003, v:34, n:7, pp:24-33 [Journal]
    
16. Chenguang Liu, Kazuyuki Tanaka
    The Complexity of Algorithms Computing Game Trees on Random Assignments. [Citation Graph (0, 0)][DBLP]
    AAIM, 2007, pp:241-250 [Conf]
    
17. Chenguang Liu, Kazuyuki Tanaka
    The Computational Complexity of Game Trees by Eigen-Distribution. [Citation Graph (0, 0)][DBLP]
    COCOA, 2007, pp:323-334 [Conf]
    
18. Chenguang Liu, Kazuyuki Tanaka
    Eigen-distribution on random assignments for game trees. [Citation Graph (0, 0)][DBLP]
    Inf. Process. Lett., 2007, v:104, n:2, pp:73-77 [Journal]
    
19. 
    An Algorithm for the Design of Manufacturing Cells. [Citation Graph (, )][DBLP]
    
    
20. 
    Approximate Learning Algorithm for Restricted Boltzmann Machines. [Citation Graph (, )][DBLP]
    
    
21. 
    Statistical Inferences by Gaussian Markov Random Fields on Complex Networks. [Citation Graph (, )][DBLP]