1. A Neural Network-Based Approach for Statistical Probability Distribution Recognition 指導教授：陳茂生 教授 報告學生：周家任 d937820 IEEM 7103 Topics in Operations Research

2. Agenda Introduction Methodologies Model of NN Implementation Comparison Conclusion Future work

3. IEEM 7103 Topics in Operations Research Introduction (1/4) In statistical data analysis, we usually need to know the statistical probability distribution the data obeys, so that we can understand what information the data provides and thereby help us make the right decision. Neural networks have been widely used in pattern recognition problems.

4. IEEM 7103 Topics in Operations Research Introduction (2/4) Purpose: Using neural network to recognition statistical distributions. Scope: Choice eight topic probability distributions, normal exponential Weibull Uniform Chi-square t distribution F distribution Lognormal distribution

5. IEEM 7103 Topics in Operations Research Introduction (3/4) The advantages of the proposed approach, validated by simulated experiments. faster than standard statistical methods wide application can be used with accuracy for small data sample

6. IEEM 7103 Topics in Operations Research Introduction (4/4) Neural network: backpropagation neural network Statistical method: Chi-square test

7. IEEM 7103 Topics in Operations Research Methodologies Backpropagation network model Hidden layer neuron Output recognition result Output layer neuron Input layer neuron Input data

8. IEEM 7103 Topics in Operations Research Methodologies

9. IEEM 7103 Topics in Operations Research Reference Shengxiang Yang., Dingwei Wang., “A new adaptive neural network and heuristic hybrid approach for job-shop scheduling.” vol.28, 2001, Computers & Operations Research Shengxiang Yang., Dingwei Wang., “Constraint satisfaction adaptive and heuristics combined approaches for generlized job- shop scheduling.” vol.11, 2000, IEEE Transactions on Neural Networks S, Y, Foo., Y, Takefuji., “Neural networks for solving job-shop Scheduling.” vol.2, 1988, IEEE IJCNN San Diego,CA

10. IEEM 7103 Topics in Operations Research 謝謝指教！！