Approximating Probabilistic Inference in Bayesian Belief Networks is NP-Hard

[1]  R. Martin Chavez,et al.  Approximating Probabilistic Inference in Bayesian Belief Networks , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Michael Sipser,et al.  The history and status of the P versus NP question , 1992, STOC '92.

[3]  Eric Horvitz,et al.  Reformulating Inference Problems Through Selective Conditioning , 1992, UAI.

[4]  Gregory F. Cooper,et al.  An Empirical Analysis of Likelihood-Weighting Simulation on a Large, Multiply-Connected Belief Network , 1991, Computers and biomedical research, an international journal.

[5]  Max Henrion,et al.  Search-Based Methods to Bound Diagnostic Probabilities in Very Large Belief Nets , 1991, UAI.

[6]  Gregory F. Cooper,et al.  A randomized approximation algorithm for probabilistic inference on bayesian belief networks , 1990, Networks.

[7]  Gregory F. Cooper,et al.  The Computational Complexity of Probabilistic Inference Using Bayesian Belief Networks , 1990, Artif. Intell..

[8]  R. M. Chavez Architectures and approximation algorithms for probabilistic expert systems , 1990 .

[9]  Ross D. Shachter,et al.  Simulation Approaches to General Probabilistic Inference on Belief Networks , 2013, UAI.

[10]  David Heckerman,et al.  A Tractable Inference Algorithm for Diagnosing Multiple Diseases , 2013, UAI.

[11]  Kuo-Chu Chang,et al.  Weighing and Integrating Evidence for Stochastic Simulation in Bayesian Networks , 2013, UAI.

[12]  Eric Horvitz,et al.  Reflection and Action Under Scarce Resources: Theoretical Principles and Empirical Study , 1989, IJCAI.

[13]  Martin E. Dyer,et al.  A random polynomial-time algorithm for approximating the volume of convex bodies , 1991, JACM.

[14]  Yun Peng,et al.  A Probabilistic Causal Model for Diagnostic Problem Solving Part II: Diagnostic Strategy , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[15]  Judea Pearl,et al.  Evidential Reasoning Using Stochastic Simulation of Causal Models , 1987, Artif. Intell..

[16]  Yun Peng,et al.  A Probabilistic Causal Model for Diagnostic Problem Solving Part I: Integrating Symbolic Causal Inference with Numeric Probabilistic Inference , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[17]  Gregory F. Cooper,et al.  Bayesian Belief Network Inference Using Simulation , 1987, UAI.

[18]  Max Henrion,et al.  Propagating uncertainty in bayesian networks by probabilistic logic sampling , 1986, UAI.

[19]  Gregory F. Cooper,et al.  NESTOR: A Computer-Based Medical Diagnostic Aid That Integrates Causal and Probabilistic Knowledge. , 1984 .

[20]  Richard M. Karp,et al.  Monte-Carlo algorithms for enumeration and reliability problems , 1983, 24th Annual Symposium on Foundations of Computer Science (sfcs 1983).

[21]  Leonard M. Adleman,et al.  Two theorems on random polynomial time , 1978, 19th Annual Symposium on Foundations of Computer Science (sfcs 1978).